From 100b7a0f8985f5446a606bff5c5405a193fe73cf Mon Sep 17 00:00:00 2001 From: Martin Pfaller Date: Fri, 5 Dec 2025 13:22:00 -0500 Subject: [PATCH 01/10] add coronary bc with time-varying resistance --- scripts/OpenLoopCoronaryBC.yaml | 29 ++ scripts/OpenLoopCoronaryVarResBC.yaml | 30 ++ src/model/BlockType.h | 3 +- src/model/CMakeLists.txt | 2 + src/model/Model.cpp | 1 + src/model/Model.h | 1 + src/model/OpenLoopCoronaryVarResBC.cpp | 115 +++++++ src/model/OpenLoopCoronaryVarResBC.h | 200 +++++++++++++ .../pulsatileFlow_R_coronary_varres.json | 281 ++++++++++++++++++ ...esult_pulsatileFlow_R_coronary_varres.json | 1 + tests/compare_coronary_bc.py | 190 ++++++++++++ tests/coronary_bc_comparison.png | Bin 0 -> 308935 bytes tests/test_solver.py | 3 +- 13 files changed, 854 insertions(+), 2 deletions(-) create mode 100644 scripts/OpenLoopCoronaryBC.yaml create mode 100644 scripts/OpenLoopCoronaryVarResBC.yaml create mode 100644 src/model/OpenLoopCoronaryVarResBC.cpp create mode 100644 src/model/OpenLoopCoronaryVarResBC.h create mode 100644 tests/cases/pulsatileFlow_R_coronary_varres.json create mode 100644 tests/cases/results/result_pulsatileFlow_R_coronary_varres.json create mode 100644 tests/compare_coronary_bc.py create mode 100644 tests/coronary_bc_comparison.png diff --git a/scripts/OpenLoopCoronaryBC.yaml b/scripts/OpenLoopCoronaryBC.yaml new file mode 100644 index 000000000..52c977726 --- /dev/null +++ b/scripts/OpenLoopCoronaryBC.yaml @@ -0,0 +1,29 @@ +variables: + - Pin + - Qin + - Vim + - Pa + +derivatives: + - dPin_dt + - dQin_dt + - dVim_dt + - dPa_dt + +constants: + - Ra + - Ram + - Rv + - Ca + - Cim + - Pim + - Pv + - Pim_0 + - P_Cim_0 + +time_dependent: + - Pim + +residuals: + - Cim * Rv * Qin - Vim + Cim * (-P_Cim_0 + Pim_0 - Pim + Pv) - Cim * Rv * dVim_dt - Ca * Cim * Rv * dPin_dt + Ra * Ca * Cim * Rv * dQin_dt + Ca * Cim * Rv * dPa_dt + - Cim * Rv * Pin - Cim * Rv * Ra * Qin - Rv * Vim - Cim * (Rv + Ram) * (P_Cim_0 - Pim_0 + Pim) - Cim * Rv * Ram * dVim_dt - Ram * Vim + Ram * Cim * Pv diff --git a/scripts/OpenLoopCoronaryVarResBC.yaml b/scripts/OpenLoopCoronaryVarResBC.yaml new file mode 100644 index 000000000..5901a38e3 --- /dev/null +++ b/scripts/OpenLoopCoronaryVarResBC.yaml @@ -0,0 +1,30 @@ +variables: + - Pin + - Qin + - Vim + - Pa + +derivatives: + - dPin_dt + - dQin_dt + - dVim_dt + - dPa_dt + +constants: + - Ra + - Ram + - Rv + - Ca + - Cim + - Pim + - Pv + - Pim_0 + - P_Cim_0 + +time_dependent: + - Pim + - Ram + +residuals: + - Cim * Rv * Qin - Vim + Cim * (-P_Cim_0 + Pim_0 - Pim + Pv) - Cim * Rv * dVim_dt - Ca * Cim * Rv * dPin_dt + Ra * Ca * Cim * Rv * dQin_dt + Ca * Cim * Rv * dPa_dt + - Cim * Rv * Pin - Cim * Rv * Ra * Qin - Rv * Vim - Cim * (Rv + Ram) * (P_Cim_0 - Pim_0 + Pim) - Cim * Rv * Ram * dVim_dt - Ram * Vim + Ram * Cim * Pv diff --git a/src/model/BlockType.h b/src/model/BlockType.h index ceb333e8b..189f280bf 100644 --- a/src/model/BlockType.h +++ b/src/model/BlockType.h @@ -28,7 +28,8 @@ enum class BlockType { closed_loop_heart_pulmonary = 12, valve_tanh = 13, chamber_elastance_inductor = 14, - chamber_sphere = 15 + chamber_sphere = 15, + open_loop_coronary_var_res_bc = 16 }; /** diff --git a/src/model/CMakeLists.txt b/src/model/CMakeLists.txt index 52fb63231..b32431ced 100644 --- a/src/model/CMakeLists.txt +++ b/src/model/CMakeLists.txt @@ -22,6 +22,7 @@ set(CXXSRCS Model.cpp Node.cpp OpenLoopCoronaryBC.cpp + OpenLoopCoronaryVarResBC.cpp Parameter.cpp PressureReferenceBC.cpp ResistanceBC.cpp @@ -48,6 +49,7 @@ set(HDRS Model.h Node.h OpenLoopCoronaryBC.h + OpenLoopCoronaryVarResBC.h Parameter.h PressureReferenceBC.h ResistanceBC.h diff --git a/src/model/Model.cpp b/src/model/Model.cpp index 340c54d1f..7ed9f91fa 100644 --- a/src/model/Model.cpp +++ b/src/model/Model.cpp @@ -21,6 +21,7 @@ Model::Model() { block_factory()}, {"ClosedLoopRCR", block_factory()}, {"CORONARY", block_factory()}, + {"CORONARY_VAR_RES", block_factory()}, {"FLOW", block_factory()}, {"NORMAL_JUNCTION", block_factory()}, {"PRESSURE", block_factory()}, diff --git a/src/model/Model.h b/src/model/Model.h index 2a2dcc52c..904691030 100644 --- a/src/model/Model.h +++ b/src/model/Model.h @@ -30,6 +30,7 @@ #include "Junction.h" #include "Node.h" #include "OpenLoopCoronaryBC.h" +#include "OpenLoopCoronaryVarResBC.h" #include "Parameter.h" #include "PressureReferenceBC.h" #include "ResistanceBC.h" diff --git a/src/model/OpenLoopCoronaryVarResBC.cpp b/src/model/OpenLoopCoronaryVarResBC.cpp new file mode 100644 index 000000000..05147894a --- /dev/null +++ b/src/model/OpenLoopCoronaryVarResBC.cpp @@ -0,0 +1,115 @@ +// SPDX-FileCopyrightText: Copyright (c) Stanford University, The Regents of the +// University of California, and others. SPDX-License-Identifier: BSD-3-Clause +#include "OpenLoopCoronaryVarResBC.h" + +#include + +#include "Model.h" + +void OpenLoopCoronaryVarResBC::setup_dofs(DOFHandler& dofhandler) { + Block::setup_dofs_(dofhandler, 2, {"volume_im"}); +} + +double OpenLoopCoronaryVarResBC::compute_Ram(double t_cycle, double Ram_min, + double Ram_max, double T_vc, + double T_vr) const { + // Compute e(t) based on phase in cardiac cycle + double e_t; + if (t_cycle <= T_vc) { + // Contraction phase + e_t = 0.5 * (1.0 - cos(M_PI * t_cycle / T_vc)); + } else if (t_cycle <= T_vc + T_vr) { + // Relaxation phase + e_t = 0.5 * (1.0 + cos(M_PI * (t_cycle - T_vc) / T_vr)); + } else { + // Rest phase + e_t = 0.0; + } + + // Compute time-varying resistance + double sqrt_Ram_min = sqrt(Ram_min); + double sqrt_Ram_max = sqrt(Ram_max); + double Ram_t = sqrt_Ram_min + (sqrt_Ram_max - sqrt_Ram_min) * e_t; + return Ram_t * Ram_t; +} + +void OpenLoopCoronaryVarResBC::update_constant( + SparseSystem& system, std::vector& parameters) { + auto Ra = parameters[global_param_ids[0]]; + auto Rv = parameters[global_param_ids[3]]; + auto Ca = parameters[global_param_ids[4]]; + auto Cim = parameters[global_param_ids[5]]; + + if (steady) { + // -P_in + (Ra+Ram+Rv)Q_in + Pv = 0 + // V_im = 0 + // Ram = Ram_min at steady state + auto Ram_min = parameters[global_param_ids[1]]; + + system.F.coeffRef(global_eqn_ids[0], global_var_ids[2]) = 1.0; + system.F.coeffRef(global_eqn_ids[1], global_var_ids[0]) = -1.0; + system.F.coeffRef(global_eqn_ids[1], global_var_ids[1]) = Ra + Ram_min + Rv; + } else { + system.F.coeffRef(global_eqn_ids[0], global_var_ids[1]) = Cim * Rv; + system.F.coeffRef(global_eqn_ids[0], global_var_ids[2]) = -1.0; + system.F.coeffRef(global_eqn_ids[1], global_var_ids[0]) = Cim * Rv; + system.F.coeffRef(global_eqn_ids[1], global_var_ids[1]) = -Cim * Rv * Ra; + system.E.coeffRef(global_eqn_ids[0], global_var_ids[0]) = -Ca * Cim * Rv; + system.E.coeffRef(global_eqn_ids[0], global_var_ids[1]) = + Ra * Ca * Cim * Rv; + system.E.coeffRef(global_eqn_ids[0], global_var_ids[2]) = -Cim * Rv; + } +} + +void OpenLoopCoronaryVarResBC::update_time(SparseSystem& system, + std::vector& parameters) { + auto Ram_min = parameters[global_param_ids[1]]; + auto Ram_max = parameters[global_param_ids[2]]; + auto Rv = parameters[global_param_ids[3]]; + auto Cim = parameters[global_param_ids[5]]; + auto Pim = parameters[global_param_ids[6]]; + auto Pv = parameters[global_param_ids[7]]; + auto T_vc = parameters[global_param_ids[8]]; + auto T_vr = parameters[global_param_ids[9]]; + + // Compute time-varying resistance using cycle time + double Ram = compute_Ram(model->time, Ram_min, Ram_max, T_vc, T_vr); + + if (steady) { + system.C(global_eqn_ids[1]) = Pv; + } else { + // Update matrix coefficients that depend on Ram + system.E.coeffRef(global_eqn_ids[1], global_var_ids[2]) = -Cim * Rv * Ram; + system.F.coeffRef(global_eqn_ids[1], global_var_ids[2]) = -(Rv + Ram); + + // Update C vector + system.C(global_eqn_ids[0]) = + Cim * (-Pim + Pv + this->Pim_0 - this->P_Cim_0); + system.C(global_eqn_ids[1]) = + (Ram * Cim * Pv) - + Cim * (Rv + Ram) * (Pim + this->P_Cim_0 - this->Pim_0); + } +} + +void OpenLoopCoronaryVarResBC::setup_initial_state_dependent_params( + State initial_state, std::vector& parameters) { + auto P_in = initial_state.y[global_var_ids[0]]; + auto Q_in = initial_state.y[global_var_ids[1]]; + auto P_in_dot = initial_state.ydot[global_var_ids[0]]; + auto Q_in_dot = initial_state.ydot[global_var_ids[1]]; + auto Ra = parameters[global_param_ids[0]]; + auto Ca = parameters[global_param_ids[4]]; + + // Ram = Ram_min at initial state + auto Ram_min = parameters[global_param_ids[1]]; + + // Pressure proximal to Ca and distal to Ra + auto P_Ca = P_in - Ra * Q_in; + auto P_Ca_dot = P_in_dot - Ra * Q_in_dot; + // Flow into Ram (inflow minus flow into Ca) + auto Q_am = Q_in - Ca * P_Ca_dot; + // Pressure proximal to Cim/Vim and distal to Ram + this->P_Cim_0 = P_Ca - Ram_min * Q_am; + // Initial intramyocardial pressure + this->Pim_0 = parameters[global_param_ids[6]]; +} diff --git a/src/model/OpenLoopCoronaryVarResBC.h b/src/model/OpenLoopCoronaryVarResBC.h new file mode 100644 index 000000000..2c3b0de06 --- /dev/null +++ b/src/model/OpenLoopCoronaryVarResBC.h @@ -0,0 +1,200 @@ +// SPDX-FileCopyrightText: Copyright (c) Stanford University, The Regents of the +// University of California, and others. SPDX-License-Identifier: BSD-3-Clause +/** + * @file OpenLoopCoronaryVarResBC.h + * @brief model::OpenLoopCoronaryVarResBC source file + */ +#ifndef SVZERODSOLVER_MODEL_OPENLOOPCORONARYVARRESBC_HPP_ +#define SVZERODSOLVER_MODEL_OPENLOOPCORONARYVARRESBC_HPP_ + +#include "Block.h" +#include "Parameter.h" +#include "SparseSystem.h" + +/** + * @brief Open loop coronary boundary condition with time-varying microvascular + * resistance. + * + * This model extends the standard open loop coronary BC by allowing the + * microvascular resistance \f$R_{am}\f$ to vary with time according to: + * + * \f[ + * R_{am}(t) = \left[ \left( \sqrt{R_{am,max}} - \sqrt{R_{am,min}} \right) + * e(t) + \sqrt{R_{am,min}} \right]^2 + * \f] + * + * where \f$e(t)\f$ is a time-dependent function: + * + * \f[ + * e(t) = + * \begin{cases} + * \dfrac{1}{2}\left[ 1 - \cos\left( \pi \dfrac{t_{cycle}}{T_{vc}} \right) + * \right], & 0 \le t_{cycle} \le T_{vc}, \\ + * \dfrac{1}{2}\left[ 1 + \cos\left( \pi \dfrac{t_{cycle} - T_{vc}}{T_{vr}} + * \right) \right], & T_{vc} < t_{cycle} \le T_{vc} + T_{vr}, \\ + * 0, & t_{cycle} > T_{vc} + T_{vr} + * \end{cases} + * \f] + * + * where \f$t_{cycle}\f$ is the time within the current cardiac cycle. + * + * \f[ + * \begin{circuitikz} \draw + * node[left] {$Q_{in}$} [-latex] (0,0) -- (0.8,0); + * \draw (1,0) node[anchor=south]{$P_{in}$} + * to [R, l=$R_a$, *-*] (3,0) + * to [R, l=$R_{am}(t)$, -] (5,0) + * node[anchor=south]{$P_{cim}$} + * to [R, l=$R_v$, *-*] (7,0) + * node[anchor=south]{$P_{v}$} + * (5,0) to [C, l=$C_{im} \;V_{im}$, -*] (5,-1.5) + * node[left]{$P_{im}$} + * (3,0) to [C, l=$C_a$, -*] (3,-1.5) + * node[left]{$P_a$}; + * \end{circuitikz} + * \f] + * + * ### Governing equations + * + * Same as OpenLoopCoronaryBC, but with \f$R_{am}\f$ replaced by + * \f$R_{am}(t)\f$. + * + * ### Parameters + * + * Parameter sequence for constructing this block + * + * * `0` Ra: Small artery resistance + * * `1` Ram_min: Minimum microvascular resistance + * * `2` Ram_max: Maximum microvascular resistance + * * `3` Rv: Venous resistance + * * `4` Ca: Small artery capacitance + * * `5` Cim: Intramyocardial capacitance + * * `6` Pim: Intramyocardial pressure (time-dependent) + * * `7` Pv: Venous pressure + * * `8` T_vc: Contraction time + * * `9` T_vr: Relaxation time + * + * ### Usage in json configuration file + * + * "boundary_conditions": [ + * { + * "bc_name": "OUT", + * "bc_type": "CORONARY_VAR_RES", + * "bc_values": { + * "Ca": 0.0001, + * "Cc": 0.0001, + * "Pim": [ + * 1000.0, + * 1000.0 + * ], + * "P_v": 0.0, + * "Ra1": 100.0, + * "Ra2_min": 50.0, + * "Ra2_max": 200.0, + * "Rv1": 100.0, + * "T_vc": 0.2, + * "T_vr": 0.3, + * "t": [ + * 0.0, + * 1.0 + * ] + * } + * } + * ] + * + * ### Internal variables + * + * Names of internal variables in this block's output: + * + * * `volume_im`: Intramyocardial volume + * + */ +class OpenLoopCoronaryVarResBC : public Block { + public: + /** + * @brief Construct a new OpenLoopCoronaryVarResBC object + * + * @param id Global ID of the block + * @param model The model to which the block belongs + */ + OpenLoopCoronaryVarResBC(int id, Model* model) + : Block(id, model, BlockType::open_loop_coronary_var_res_bc, + BlockClass::boundary_condition, + {{"Ra1", InputParameter()}, + {"Ra2_min", InputParameter()}, + {"Ra2_max", InputParameter()}, + {"Rv1", InputParameter()}, + {"Ca", InputParameter()}, + {"Cc", InputParameter()}, + {"t", InputParameter(false, true)}, + {"Pim", InputParameter(false, true)}, + {"P_v", InputParameter()}, + {"T_vc", InputParameter()}, + {"T_vr", InputParameter()}, + {"closed_loop_outlet", InputParameter(true, false, false)}}) {} + + /** + * @brief Set up the degrees of freedom (DOF) of the block + * + * Set \ref global_var_ids and \ref global_eqn_ids of the element based on + * the number of equations and the number of internal variables of the + * element. + * + * @param dofhandler Degree-of-freedom handler to register variables and + * equations at + */ + void setup_dofs(DOFHandler& dofhandler); + + /** + * @brief Setup parameters that depend on the initial state + * + * @param initial_state The initial state of the system + * @param parameters The parameter values vector (at time 0) + */ + void setup_initial_state_dependent_params(State initial_state, + std::vector& parameters); + + /** + * @brief Update the constant contributions of the element in a sparse system + * + * @param system System to update contributions at + * @param parameters Parameters of the model + */ + void update_constant(SparseSystem& system, std::vector& parameters); + + /** + * @brief Update the time-dependent contributions of the element in a sparse + * system + * + * @param system System to update contributions at + * @param parameters Parameters of the model + */ + void update_time(SparseSystem& system, std::vector& parameters); + + /** + * @brief Number of triplets of element + * + * Number of triplets that the element contributes to the global system + * (relevant for sparse memory reservation) + */ + TripletsContributions num_triplets{5, 4, 0}; + + protected: + double P_Cim_0 = 0; ///< Pressure proximal to Cim/Vim at initial state + double Pim_0 = 0; ///< Pim at initial state + + /** + * @brief Compute time-varying microvascular resistance + * + * @param t_cycle Current time within cardiac cycle + * @param Ram_min Minimum microvascular resistance + * @param Ram_max Maximum microvascular resistance + * @param T_vc Contraction time + * @param T_vr Relaxation time + * @return Time-varying resistance Ram(t) + */ + double compute_Ram(double t_cycle, double Ram_min, double Ram_max, + double T_vc, double T_vr) const; +}; + +#endif // SVZERODSOLVER_MODEL_OPENLOOPCORONARYVARRESBC_HPP_ diff --git a/tests/cases/pulsatileFlow_R_coronary_varres.json b/tests/cases/pulsatileFlow_R_coronary_varres.json new file mode 100644 index 000000000..247d54194 --- /dev/null +++ b/tests/cases/pulsatileFlow_R_coronary_varres.json @@ -0,0 +1,281 @@ +{ + "description": { + "description of test case": "pulsatile flow -> R -> time-varying coronary BC", + "analytical results": [ + "Notes:", + "This test verifies the time-varying microvascular resistance model", + "The resistance Ram varies according to:", + "Ram(t) = [(sqrt(Ram_max) - sqrt(Ram_min)) * e(t) + sqrt(Ram_min)]^2", + "where e(t) is a piecewise function representing contraction/relaxation/rest phases", + "Boundary conditions:", + "inlet:", + "flow rate: Q(t) = 2.5*SIN(2*PI()*t) + 2.2", + "outlet:", + "Time-varying Coronary: Ra1 = 100, Ra2_min = 50, Ra2_max = 200, Rv1 = 100", + "T_vc = 0.3, T_vr = 0.4, distal pressure = P_v = 0", + "Solutions:", + "The resistance Ram varies between 50 and 200 during the cardiac cycle", + "During contraction phase (0 <= t <= 0.3), Ram increases from 50 to 200", + "During relaxation phase (0.3 < t <= 0.7), Ram decreases from 200 to 50", + "During rest phase (0.7 < t <= 1.0), Ram remains at 50" + ] + }, + "boundary_conditions": [ + { + "bc_name": "INFLOW", + "bc_type": "FLOW", + "bc_values": { + "Q": [ + 2.2, + 2.35697629882328, + 2.51333308391076, + 2.66845328646431, + 2.82172471791214, + 2.97254248593737, + 3.1203113817117, + 3.26444822891268, + 3.40438418525429, + 3.53956698744749, + 3.66946313073118, + 3.79355997437172, + 3.91136776482172, + 4.02242156855353, + 4.12628310693947, + 4.22254248593737, + 4.31081981375504, + 4.39076670010966, + 4.46206763116505, + 4.52444121472063, + 4.57764129073788, + 4.62145790282158, + 4.65571812682172, + 4.6802867532862, + 4.69506682107068, + 4.7, + 4.69506682107068, + 4.6802867532862, + 4.65571812682172, + 4.62145790282158, + 4.57764129073788, + 4.52444121472063, + 4.46206763116505, + 4.39076670010966, + 4.31081981375504, + 4.22254248593737, + 4.12628310693947, + 4.02242156855353, + 3.91136776482172, + 3.79355997437172, + 3.66946313073118, + 3.53956698744749, + 3.40438418525429, + 3.26444822891268, + 3.1203113817117, + 2.97254248593737, + 2.82172471791214, + 2.66845328646431, + 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\ No newline at end of file diff --git a/tests/compare_coronary_bc.py b/tests/compare_coronary_bc.py new file mode 100644 index 000000000..e08b1ac39 --- /dev/null +++ b/tests/compare_coronary_bc.py @@ -0,0 +1,190 @@ +""" +Compare results between constant and time-varying coronary boundary conditions. + +This script loads results from two test cases: +1. pulsatileFlow_R_coronary.json - constant microvascular resistance +2. pulsatileFlow_R_coronary_varres.json - time-varying microvascular resistance + +It visualizes the effect of time-varying resistance on pressure and flow. +""" +import numpy as np +import pandas as pd +import matplotlib.pyplot as plt +import os + +def compute_Ram(t_cycle, Ram_min, Ram_max, T_vc, T_vr): + """Compute time-varying resistance Ram(t_cycle).""" + if t_cycle <= T_vc: + # Contraction phase + e_t = 0.5 * (1.0 - np.cos(np.pi * t_cycle / T_vc)) + elif t_cycle <= T_vc + T_vr: + # Relaxation phase + e_t = 0.5 * (1.0 + np.cos(np.pi * (t_cycle - T_vc) / T_vr)) + else: + # Rest phase + e_t = 0.0 + + sqrt_Ram_min = np.sqrt(Ram_min) + sqrt_Ram_max = np.sqrt(Ram_max) + Ram_t = sqrt_Ram_min + (sqrt_Ram_max - sqrt_Ram_min) * e_t + return Ram_t * Ram_t + +# Load results +results_dir = os.path.join(os.path.dirname(__file__), 'cases', 'results') +ref_constant = pd.read_json(os.path.join(results_dir, 'result_pulsatileFlow_R_coronary.json')) +ref_varres = pd.read_json(os.path.join(results_dir, 'result_pulsatileFlow_R_coronary_varres.json')) + +# Extract last cardiac cycle (steady state) +# Constant resistance case +t_constant = ref_constant['time'].values +# Find last cycle +t_cycle_start = t_constant[-1] - 1.0 +mask_constant = t_constant >= t_cycle_start +t_constant_last = t_constant[mask_constant] - t_cycle_start +p_in_constant = ref_constant['pressure_in'].values[mask_constant] +p_out_constant = ref_constant['pressure_out'].values[mask_constant] +q_in_constant = ref_constant['flow_in'].values[mask_constant] +q_out_constant = ref_constant['flow_out'].values[mask_constant] + +# Time-varying resistance case +t_varres = ref_varres['time'].values +t_cycle_start = t_varres[-1] - 1.0 +mask_varres = t_varres >= t_cycle_start +t_varres_last = t_varres[mask_varres] - t_cycle_start +p_in_varres = ref_varres['pressure_in'].values[mask_varres] +p_out_varres = ref_varres['pressure_out'].values[mask_varres] +q_in_varres = ref_varres['flow_in'].values[mask_varres] +q_out_varres = ref_varres['flow_out'].values[mask_varres] + +# Compute time-varying resistance for the variable resistance case +Ram_min = 50.0 +Ram_max = 200.0 +T_vc = 0.3 +T_vr = 0.4 +Ram_varres = np.array([compute_Ram(t, Ram_min, Ram_max, T_vc, T_vr) for t in t_varres_last]) + +# For constant case, Ram is constant at 100 (typical value for standard coronary BC) +Ram_constant = np.ones_like(t_constant_last) * 100.0 + +# Create comparison plots +fig, axes = plt.subplots(2, 2, figsize=(14, 10)) +fig.suptitle('Effect of Time-Varying Microvascular Resistance on Coronary Flow', fontsize=14, fontweight='bold') + +# Plot 1: Microvascular Resistance +ax = axes[0, 0] +ax.plot(t_constant_last, Ram_constant, 'b-', linewidth=2, label='Constant Ram') +ax.plot(t_varres_last, Ram_varres, 'r-', linewidth=2, label='Time-varying Ram') +ax.axvspan(0, T_vc, alpha=0.2, color='red', label='Contraction') +ax.axvspan(T_vc, T_vc + T_vr, alpha=0.2, color='yellow', label='Relaxation') +ax.axvspan(T_vc + T_vr, 1.0, alpha=0.2, color='green', label='Rest') +ax.set_xlabel('Time in cardiac cycle (s)', fontsize=11) +ax.set_ylabel('Ram (microvascular resistance)', fontsize=11) +ax.set_title('Microvascular Resistance Variation', fontweight='bold') +ax.grid(True, alpha=0.3) +ax.legend(loc='upper right') +ax.set_xlim([0, 1.0]) + +# Plot 2: Outlet Pressure +ax = axes[0, 1] +ax.plot(t_constant_last, p_out_constant, 'b-', linewidth=2, label='Constant Ram') +ax.plot(t_varres_last, p_out_varres, 'r-', linewidth=2, label='Time-varying Ram') +ax.axvspan(0, T_vc, alpha=0.1, color='red') +ax.axvspan(T_vc, T_vc + T_vr, alpha=0.1, color='yellow') +ax.axvspan(T_vc + T_vr, 1.0, alpha=0.1, color='green') +ax.set_xlabel('Time in cardiac cycle (s)', fontsize=11) +ax.set_ylabel('Outlet Pressure (Pa)', fontsize=11) +ax.set_title('Outlet Pressure Comparison', fontweight='bold') +ax.grid(True, alpha=0.3) +ax.legend() +ax.set_xlim([0, 1.0]) + +# Plot 3: Flow Rate +ax = axes[1, 0] +ax.plot(t_constant_last, q_out_constant, 'b-', linewidth=2, label='Constant Ram') +ax.plot(t_varres_last, q_out_varres, 'r-', linewidth=2, label='Time-varying Ram') +ax.axvspan(0, T_vc, alpha=0.1, color='red') +ax.axvspan(T_vc, T_vc + T_vr, alpha=0.1, color='yellow') +ax.axvspan(T_vc + T_vr, 1.0, alpha=0.1, color='green') +ax.set_xlabel('Time in cardiac cycle (s)', fontsize=11) +ax.set_ylabel('Outlet Flow Rate (mL/s)', fontsize=11) +ax.set_title('Outlet Flow Rate Comparison', fontweight='bold') +ax.grid(True, alpha=0.3) +ax.legend() +ax.set_xlim([0, 1.0]) + +# Plot 4: Pressure-Flow Relationship +ax = axes[1, 1] +ax.plot(q_out_constant, p_out_constant, 'b-', linewidth=2, label='Constant Ram', alpha=0.7) +ax.plot(q_out_varres, p_out_varres, 'r-', linewidth=2, label='Time-varying Ram', alpha=0.7) +ax.set_xlabel('Flow Rate (mL/s)', fontsize=11) +ax.set_ylabel('Outlet Pressure (Pa)', fontsize=11) +ax.set_title('Pressure-Flow Loop', fontweight='bold') +ax.grid(True, alpha=0.3) +ax.legend() + +plt.tight_layout() + +# Print summary statistics +print("=" * 70) +print("Comparison of Constant vs. Time-Varying Coronary Resistance") +print("=" * 70) +print() +print("CONSTANT RESISTANCE (Ram = 100):") +print(f" Outlet Pressure: {p_out_constant.mean():.2f} ± {p_out_constant.std():.2f} Pa") +print(f" Outlet Flow: {q_out_constant.mean():.3f} ± {q_out_constant.std():.3f} mL/s") +print(f" Pressure range: [{p_out_constant.min():.2f}, {p_out_constant.max():.2f}] Pa") +print(f" Flow range: [{q_out_constant.min():.3f}, {q_out_constant.max():.3f}] mL/s") +print() +print("TIME-VARYING RESISTANCE (Ram: 50 → 200 → 50):") +print(f" Outlet Pressure: {p_out_varres.mean():.2f} ± {p_out_varres.std():.2f} Pa") +print(f" Outlet Flow: {q_out_varres.mean():.3f} ± {q_out_varres.std():.3f} mL/s") +print(f" Pressure range: [{p_out_varres.min():.2f}, {p_out_varres.max():.2f}] Pa") +print(f" Flow range: [{q_out_varres.min():.3f}, {q_out_varres.max():.3f}] mL/s") +print() +print("DIFFERENCES (Time-varying - Constant):") +print(f" Mean pressure: {p_out_varres.mean() - p_out_constant.mean():+.2f} Pa ({(p_out_varres.mean()/p_out_constant.mean()-1)*100:+.1f}%)") +print(f" Mean flow: {q_out_varres.mean() - q_out_constant.mean():+.3f} mL/s ({(q_out_varres.mean()/q_out_constant.mean()-1)*100:+.1f}%)") +print(f" Pressure std: {p_out_varres.std() - p_out_constant.std():+.2f} Pa") +print(f" Flow std: {q_out_varres.std() - q_out_constant.std():+.3f} mL/s") +print() + +# Phase analysis +print("PHASE-SPECIFIC ANALYSIS:") +print() + +# Contraction phase (0 to T_vc) +mask_contract_const = t_constant_last <= T_vc +mask_contract_var = t_varres_last <= T_vc +print(f"CONTRACTION PHASE (0 → {T_vc}s, Ram increases):") +print(f" Constant: P_out = {p_out_constant[mask_contract_const].mean():.2f} Pa, Q = {q_out_constant[mask_contract_const].mean():.3f} mL/s") +print(f" Time-varying: P_out = {p_out_varres[mask_contract_var].mean():.2f} Pa, Q = {q_out_varres[mask_contract_var].mean():.3f} mL/s") +print(f" Effect: Pressure {(p_out_varres[mask_contract_var].mean()/p_out_constant[mask_contract_const].mean()-1)*100:+.1f}%, Flow {(q_out_varres[mask_contract_var].mean()/q_out_constant[mask_contract_const].mean()-1)*100:+.1f}%") +print() + +# Relaxation phase (T_vc to T_vc + T_vr) +mask_relax_const = (t_constant_last > T_vc) & (t_constant_last <= T_vc + T_vr) +mask_relax_var = (t_varres_last > T_vc) & (t_varres_last <= T_vc + T_vr) +print(f"RELAXATION PHASE ({T_vc} → {T_vc + T_vr}s, Ram decreases):") +print(f" Constant: P_out = {p_out_constant[mask_relax_const].mean():.2f} Pa, Q = {q_out_constant[mask_relax_const].mean():.3f} mL/s") +print(f" Time-varying: P_out = {p_out_varres[mask_relax_var].mean():.2f} Pa, Q = {q_out_varres[mask_relax_var].mean():.3f} mL/s") +print(f" Effect: Pressure {(p_out_varres[mask_relax_var].mean()/p_out_constant[mask_relax_const].mean()-1)*100:+.1f}%, Flow {(q_out_varres[mask_relax_var].mean()/q_out_constant[mask_relax_const].mean()-1)*100:+.1f}%") +print() + +# Rest phase (T_vc + T_vr to 1.0) +mask_rest_const = t_constant_last > T_vc + T_vr +mask_rest_var = t_varres_last > T_vc + T_vr +print(f"REST PHASE ({T_vc + T_vr} → 1.0s, Ram = {Ram_min}):") +print(f" Constant: P_out = {p_out_constant[mask_rest_const].mean():.2f} Pa, Q = {q_out_constant[mask_rest_const].mean():.3f} mL/s") +print(f" Time-varying: P_out = {p_out_varres[mask_rest_var].mean():.2f} Pa, Q = {q_out_varres[mask_rest_var].mean():.3f} mL/s") +print(f" Effect: Pressure {(p_out_varres[mask_rest_var].mean()/p_out_constant[mask_rest_const].mean()-1)*100:+.1f}%, Flow {(q_out_varres[mask_rest_var].mean()/q_out_constant[mask_rest_const].mean()-1)*100:+.1f}%") +print() +print("=" * 70) + +output_path = os.path.join(os.path.dirname(__file__), 'coronary_bc_comparison.png') +plt.savefig(output_path, dpi=150, bbox_inches='tight') +print() +print(f"Plot saved to: {output_path}") +print() + +# Uncomment the line below to display the plot +# plt.show() diff --git a/tests/coronary_bc_comparison.png b/tests/coronary_bc_comparison.png new file mode 100644 index 0000000000000000000000000000000000000000..f5f25e52f917e843b0be3710ec7c201b616447b4 GIT binary patch literal 308935 zcmd43hdwEw1$94Y!_v6>&IwR0}lrk+13k?+&6|Jg@f)*9k z#sgGT>ppH=kDt^sojQ;I5qDP9bJn)M=gnzrVwiO|LWorhK8Cl^|H>d8vK^B#?#Yt$BrGxV>GyYb1yfA z$LIV0m0rJP*RA>lwX)LE)e;gCvBGJ(nJc|j^7=jWqoH{DPvQOzBtrIVn!|-pAUab;5+4$7BcDGczkmON ztNT69{rh7JZ~a?9A3CS4{vyjMp82yY%bq&P8mr_3Hp^;g(ETd$4Y_&qrgPQHD}ATj zJw44TD4cIxhM0=I=2y$oIi0`Fea6X2NW!`Q+H2dN7iLG>+*g*wFPNDfd17*L=s{~u 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z?Inzuum8mIllLVwRdtF`CJrq)}lx0fF}?B)FXyZ-spnT414-x{$$FKa{?{rQ}K ieg@zC|L|i`E2}+zcZ^Tw Date: Fri, 5 Dec 2025 13:39:29 -0500 Subject: [PATCH 02/10] add reference --- docs/references.bib | 12 ++++++++++++ src/model/OpenLoopCoronaryVarResBC.h | 7 ++++--- 2 files changed, 16 insertions(+), 3 deletions(-) diff --git a/docs/references.bib b/docs/references.bib index 10ab502b6..36b58a193 100644 --- a/docs/references.bib +++ b/docs/references.bib @@ -125,3 +125,15 @@ @article{caruel13 volume = {13}, year = {2013} } + +@article{yong25, + title = {A lumped parameter model of the coronary circulation incorporating time-varying resistance, intramyocardial pressure and vascular compliance}, + author = {Enhui Yong and Javeria Latief and Yufei Wang and David Erlinge and Axel Dahlgren and Tushar Kotecha and Vivek Muthurangu and Ryo Torii}, + journal = {Journal of Biomechanics}, + volume = {189}, + pages = {112679}, + year = {2025}, + doi = {10.1016/j.jbiomech.2025.112679}, + url = {https://doi.org/10.1016/j.jbiomech.2025.112679}, + publisher = {Elsevier} +} diff --git a/src/model/OpenLoopCoronaryVarResBC.h b/src/model/OpenLoopCoronaryVarResBC.h index 2c3b0de06..50aa3a6be 100644 --- a/src/model/OpenLoopCoronaryVarResBC.h +++ b/src/model/OpenLoopCoronaryVarResBC.h @@ -13,10 +13,11 @@ /** * @brief Open loop coronary boundary condition with time-varying microvascular - * resistance. + * resistance based on \cite yong25. * - * This model extends the standard open loop coronary BC by allowing the - * microvascular resistance \f$R_{am}\f$ to vary with time according to: + * This model extends the standard open loop coronary BC (\cite kim_coronary) + * by allowing the microvascular resistance \f$R_{am}\f$ to vary with time + * according to: * * \f[ * R_{am}(t) = \left[ \left( \sqrt{R_{am,max}} - \sqrt{R_{am,min}} \right) From 8f7f1ab5a3cc6e884f31275c3581820c78a9b703 Mon Sep 17 00:00:00 2001 From: Martin Pfaller Date: Fri, 5 Dec 2025 15:36:20 -0500 Subject: [PATCH 03/10] fix splitting of time/solution dependent code --- scripts/jacobian.py | 47 +++++++++++++++++++++++++++++++-------------- 1 file changed, 33 insertions(+), 14 deletions(-) diff --git a/scripts/jacobian.py b/scripts/jacobian.py index 19bef04ee..648f5594a 100755 --- a/scripts/jacobian.py +++ b/scripts/jacobian.py @@ -1,4 +1,4 @@ -from sympy import symbols, Matrix, simplify, pi, Abs +from sympy import symbols, Matrix, diff, simplify, pi, Abs from sympy.printing import ccode import re import pdb @@ -25,7 +25,6 @@ def load_model(filepath): time_dependent = {context[s] for s in data.get('time_dependent', [])} assert len(variables) == len(derivatives), f"Number of variables must be equal to number of derivatives" - assert len(variables) - 2 == len(residuals), f"Number of residuals must be number of unknowns minus 2" return variables, derivatives, constants, residuals, time_dependent @@ -50,22 +49,42 @@ def extract_nonlinear(residuals, E, F, y, dy): dC_dydot = simplify(C.jacobian(dy)) return C, dC_dy, dC_dydot +def is_linear_in(expr, variables): + expr = simplify(expr) + + # 1. No quadratic terms: second derivative wrt each variable is zero + for v in variables: + if simplify(diff(expr, v, 2)) != 0: + return False + + # 2. No cross terms: mixed second derivatives must all be zero + for i, vi in enumerate(variables): + for vj in variables[i+1:]: + if simplify(diff(expr, vi, vj)) != 0: + return False + + return True + def depends_on(expr, symbols_set): return any(sym in expr.free_symbols for sym in symbols_set) -def partition_terms(E, F, C, dC_dy, dC_dydot, time_dependent_symbols): +def partition_terms(E, F, C, dC_dy, dC_dydot, variables, time_dependent_symbols): parts = {"constant": [], "time": [], "solution": []} - for i in range(E.shape[0]): - parts["solution"].append(("C", i, C[i])) - for j in range(E.shape[1]): - for label, mat in [("E", E), ("F", F), ("dC_dy", dC_dy), ("dC_dydot", dC_dydot)]: - if label.startswith('d'): - target = "solution" - elif depends_on(mat[i, j], time_dependent_symbols): - target = "time" + for label, mat in [("E", E), ("F", F), ("C", C), ("dC_dy", dC_dy), ("dC_dydot", dC_dydot)]: + for i in range(mat.rows): + for j in range(mat.cols): + if mat.cols == 1: + expr = mat[i] else: - target = "constant" - parts[target].append((label, i, j, mat[i, j])) + expr = mat[i, j] + if expr != 0: + if not is_linear_in(expr, variables): + target = "solution" + elif depends_on(expr, time_dependent_symbols): + target = "time" + else: + target = "constant" + parts[target].append((label, i, j, expr)) return parts def get_expressions(parts, type): @@ -125,7 +144,7 @@ def main(yaml_path): C, dC_dy, dC_dydot = extract_nonlinear(residuals, E, F, y, dy) # split into constant, time dependent and solution parts - parts = partition_terms(E, F, C, dC_dy, dC_dydot, time_dependent) + parts = partition_terms(E, F, C, dC_dy, dC_dydot, Matrix(list(y) + list(dy)), time_dependent) # print C++ code for section in ['constant', 'time', 'solution']: From 7618e293872c71f79343e37a64f35b20e761c75d Mon Sep 17 00:00:00 2001 From: Martin Pfaller Date: Fri, 5 Dec 2025 15:38:13 -0500 Subject: [PATCH 04/10] fix derivation of open loop coronary BCs --- scripts/OpenLoopCoronaryBC.yaml | 4 +--- scripts/OpenLoopCoronaryVarResBC.yaml | 4 +--- 2 files changed, 2 insertions(+), 6 deletions(-) diff --git a/scripts/OpenLoopCoronaryBC.yaml b/scripts/OpenLoopCoronaryBC.yaml index 52c977726..038f5f5b1 100644 --- a/scripts/OpenLoopCoronaryBC.yaml +++ b/scripts/OpenLoopCoronaryBC.yaml @@ -2,13 +2,11 @@ variables: - Pin - Qin - Vim - - Pa derivatives: - dPin_dt - dQin_dt - dVim_dt - - dPa_dt constants: - Ra @@ -25,5 +23,5 @@ time_dependent: - Pim residuals: - - Cim * Rv * Qin - Vim + Cim * (-P_Cim_0 + Pim_0 - Pim + Pv) - Cim * Rv * dVim_dt - Ca * Cim * Rv * dPin_dt + Ra * Ca * Cim * Rv * dQin_dt + Ca * Cim * Rv * dPa_dt + - Cim * Rv * Qin - Vim + Cim * (-P_Cim_0 + Pim_0 - Pim + Pv) - Cim * Rv * dVim_dt - Ca * Cim * Rv * dPin_dt + Ra * Ca * Cim * Rv * dQin_dt - Cim * Rv * Pin - Cim * Rv * Ra * Qin - Rv * Vim - Cim * (Rv + Ram) * (P_Cim_0 - Pim_0 + Pim) - Cim * Rv * Ram * dVim_dt - Ram * Vim + Ram * Cim * Pv diff --git a/scripts/OpenLoopCoronaryVarResBC.yaml b/scripts/OpenLoopCoronaryVarResBC.yaml index 5901a38e3..1d5c98206 100644 --- a/scripts/OpenLoopCoronaryVarResBC.yaml +++ b/scripts/OpenLoopCoronaryVarResBC.yaml @@ -2,13 +2,11 @@ variables: - Pin - Qin - Vim - - Pa derivatives: - dPin_dt - dQin_dt - dVim_dt - - dPa_dt constants: - Ra @@ -26,5 +24,5 @@ time_dependent: - Ram residuals: - - Cim * Rv * Qin - Vim + Cim * (-P_Cim_0 + Pim_0 - Pim + Pv) - Cim * Rv * dVim_dt - Ca * Cim * Rv * dPin_dt + Ra * Ca * Cim * Rv * dQin_dt + Ca * Cim * Rv * dPa_dt + - Cim * Rv * Qin - Vim + Cim * (-P_Cim_0 + Pim_0 - Pim + Pv) - Cim * Rv * dVim_dt - Ca * Cim * Rv * dPin_dt + Ra * Ca * Cim * Rv * dQin_dt - Cim * Rv * Pin - Cim * Rv * Ra * Qin - Rv * Vim - Cim * (Rv + Ram) * (P_Cim_0 - Pim_0 + Pim) - Cim * Rv * Ram * dVim_dt - Ram * Vim + Ram * Cim * Pv From d09d5ba014438e14239eb5b8204a4ddd98003eaf Mon Sep 17 00:00:00 2001 From: Martin Pfaller Date: Sun, 7 Dec 2025 13:03:46 -0500 Subject: [PATCH 05/10] use inheritance --- src/model/OpenLoopCoronaryBC.cpp | 36 ++++---- src/model/OpenLoopCoronaryBC.h | 47 +++++++++-- src/model/OpenLoopCoronaryVarResBC.cpp | 102 +++-------------------- src/model/OpenLoopCoronaryVarResBC.h | 109 +++++++------------------ 4 files changed, 103 insertions(+), 191 deletions(-) diff --git a/src/model/OpenLoopCoronaryBC.cpp b/src/model/OpenLoopCoronaryBC.cpp index dc3f924ba..f54b4b677 100644 --- a/src/model/OpenLoopCoronaryBC.cpp +++ b/src/model/OpenLoopCoronaryBC.cpp @@ -2,6 +2,8 @@ // University of California, and others. SPDX-License-Identifier: BSD-3-Clause #include "OpenLoopCoronaryBC.h" +#include "Model.h" + void OpenLoopCoronaryBC::setup_dofs(DOFHandler& dofhandler) { Block::setup_dofs_(dofhandler, 2, {"volume_im"}); } @@ -9,10 +11,10 @@ void OpenLoopCoronaryBC::setup_dofs(DOFHandler& dofhandler) { void OpenLoopCoronaryBC::update_constant(SparseSystem& system, std::vector& parameters) { auto Ra = parameters[global_param_ids[0]]; - auto Ram = parameters[global_param_ids[1]]; - auto Rv = parameters[global_param_ids[2]]; - auto Ca = parameters[global_param_ids[3]]; - auto Cim = parameters[global_param_ids[4]]; + auto Ram = get_Ram(parameters, 0.0); + auto Rv = parameters[global_param_ids[1]]; + auto Ca = parameters[global_param_ids[2]]; + auto Cim = parameters[global_param_ids[3]]; if (steady) { // Different equations for steady initial condition @@ -27,23 +29,27 @@ void OpenLoopCoronaryBC::update_constant(SparseSystem& system, system.F.coeffRef(global_eqn_ids[0], global_var_ids[2]) = -1.0; system.F.coeffRef(global_eqn_ids[1], global_var_ids[0]) = Cim * Rv; system.F.coeffRef(global_eqn_ids[1], global_var_ids[1]) = -Cim * Rv * Ra; - system.F.coeffRef(global_eqn_ids[1], global_var_ids[2]) = -(Rv + Ram); system.E.coeffRef(global_eqn_ids[0], global_var_ids[0]) = -Ca * Cim * Rv; system.E.coeffRef(global_eqn_ids[0], global_var_ids[1]) = Ra * Ca * Cim * Rv; system.E.coeffRef(global_eqn_ids[0], global_var_ids[2]) = -Cim * Rv; - system.E.coeffRef(global_eqn_ids[1], global_var_ids[2]) = -Cim * Rv * Ram; } } +double OpenLoopCoronaryBC::get_Ram(std::vector& parameters, + double time) const { + // Base class returns constant resistance (time parameter unused) + return parameters[global_param_ids[6]]; +} + void OpenLoopCoronaryBC::update_time(SparseSystem& system, std::vector& parameters) { - auto Ram = parameters[global_param_ids[1]]; - auto Rv = parameters[global_param_ids[2]]; - auto Cim = parameters[global_param_ids[4]]; - auto Pim = parameters[global_param_ids[5]]; - auto Pv = parameters[global_param_ids[6]]; + auto Ram = get_Ram(parameters, model->time); + auto Rv = parameters[global_param_ids[1]]; + auto Cim = parameters[global_param_ids[3]]; + auto Pim = parameters[global_param_ids[4]]; + auto Pv = parameters[global_param_ids[5]]; if (steady) { system.C(global_eqn_ids[1]) = Pv; @@ -53,6 +59,8 @@ void OpenLoopCoronaryBC::update_time(SparseSystem& system, system.C(global_eqn_ids[1]) = (Ram * Cim * Pv) - Cim * (Rv + Ram) * (Pim + this->P_Cim_0 - this->Pim_0); + system.F.coeffRef(global_eqn_ids[1], global_var_ids[2]) = -(Rv + Ram); + system.E.coeffRef(global_eqn_ids[1], global_var_ids[2]) = -Cim * Rv * Ram; } } @@ -63,8 +71,8 @@ void OpenLoopCoronaryBC::setup_initial_state_dependent_params( auto P_in_dot = initial_state.ydot[global_var_ids[0]]; auto Q_in_dot = initial_state.ydot[global_var_ids[1]]; auto Ra = parameters[global_param_ids[0]]; - auto Ram = parameters[global_param_ids[1]]; - auto Ca = parameters[global_param_ids[3]]; + auto Ram = get_Ram(parameters, 0.0); + auto Ca = parameters[global_param_ids[2]]; // Pressure proximal to Ca and distal to Ra auto P_Ca = P_in - Ra * Q_in; auto P_Ca_dot = P_in_dot - Ra * Q_in_dot; @@ -73,5 +81,5 @@ void OpenLoopCoronaryBC::setup_initial_state_dependent_params( // Pressure proximal to Cim/Vim and distal to Ram this->P_Cim_0 = P_Ca - Ram * Q_am; // Initial intramyocardial pressure - this->Pim_0 = parameters[global_param_ids[5]]; + this->Pim_0 = parameters[global_param_ids[4]]; } diff --git a/src/model/OpenLoopCoronaryBC.h b/src/model/OpenLoopCoronaryBC.h index bb0b772eb..2c0803684 100644 --- a/src/model/OpenLoopCoronaryBC.h +++ b/src/model/OpenLoopCoronaryBC.h @@ -73,12 +73,12 @@ * Parameter sequence for constructing this block * * * `0` Ra: Small artery resistance - * * `1` Ram: Microvascualar resistance - * * `2` Rv: Venous resistance - * * `3` Ca: Small artery capacitance - * * `4` Cim: Intramyocardial capacitance - * * `5` Pim: Intramyocardial pressure - * * `6` Pv: Venous pressure + * * `1` Rv: Venous resistance + * * `2` Ca: Small artery capacitance + * * `3` Cim: Intramyocardial capacitance + * * `4` Pim: Intramyocardial pressure + * * `5` Pv: Venous pressure + * * `6` Ram: Microvascular resistance * * ### Usage in json configuration file * @@ -124,13 +124,13 @@ class OpenLoopCoronaryBC : public Block { : Block(id, model, BlockType::open_loop_coronary_bc, BlockClass::boundary_condition, {{"Ra1", InputParameter()}, - {"Ra2", InputParameter()}, {"Rv1", InputParameter()}, {"Ca", InputParameter()}, {"Cc", InputParameter()}, {"t", InputParameter(false, true)}, {"Pim", InputParameter(false, true)}, {"P_v", InputParameter()}, + {"Ra2", InputParameter()}, {"closed_loop_outlet", InputParameter(true, false, false)}}) {} /** @@ -179,9 +179,42 @@ class OpenLoopCoronaryBC : public Block { */ TripletsContributions num_triplets{5, 4, 0}; + /** + * @brief Virtual destructor for proper cleanup in derived classes + */ + virtual ~OpenLoopCoronaryBC() = default; + protected: + /** + * @brief Protected constructor for derived classes + * + * Allows derived classes to specify their own block type and parameters + * + * @param id Global ID of the block + * @param model The model to which the block belongs + * @param block_type Type of the block + * @param input_params Input parameters for the block + */ + OpenLoopCoronaryBC( + int id, Model* model, BlockType block_type, + const std::vector>& input_params) + : Block(id, model, block_type, BlockClass::boundary_condition, + input_params) {} + double P_Cim_0 = 0; ///< Pressure proximal to Cim/Vim at initial state double Pim_0 = 0; ///< Pim at initial state + + /** + * @brief Get microvascular resistance value + * + * For the base class, returns constant Ram. Derived classes may + * override to provide time-varying resistance. + * + * @param parameters Parameters of the model + * @param time Current simulation time (unused in base class) + * @return Microvascular resistance Ram + */ + virtual double get_Ram(std::vector& parameters, double time) const; }; #endif // SVZERODSOLVER_MODEL_OPENLOOPCORONARYBC_HPP_ diff --git a/src/model/OpenLoopCoronaryVarResBC.cpp b/src/model/OpenLoopCoronaryVarResBC.cpp index 05147894a..fa3ef3d98 100644 --- a/src/model/OpenLoopCoronaryVarResBC.cpp +++ b/src/model/OpenLoopCoronaryVarResBC.cpp @@ -6,21 +6,22 @@ #include "Model.h" -void OpenLoopCoronaryVarResBC::setup_dofs(DOFHandler& dofhandler) { - Block::setup_dofs_(dofhandler, 2, {"volume_im"}); -} +double OpenLoopCoronaryVarResBC::get_Ram(std::vector& parameters, + double time) const { + // Extract parameters for time-varying resistance + auto Ram_min = parameters[global_param_ids[6]]; + auto Ram_max = parameters[global_param_ids[7]]; + auto T_vc = parameters[global_param_ids[8]]; + auto T_vr = parameters[global_param_ids[9]]; -double OpenLoopCoronaryVarResBC::compute_Ram(double t_cycle, double Ram_min, - double Ram_max, double T_vc, - double T_vr) const { // Compute e(t) based on phase in cardiac cycle double e_t; - if (t_cycle <= T_vc) { + if (time <= T_vc) { // Contraction phase - e_t = 0.5 * (1.0 - cos(M_PI * t_cycle / T_vc)); - } else if (t_cycle <= T_vc + T_vr) { + e_t = 0.5 * (1.0 - cos(M_PI * time / T_vc)); + } else if (time <= T_vc + T_vr) { // Relaxation phase - e_t = 0.5 * (1.0 + cos(M_PI * (t_cycle - T_vc) / T_vr)); + e_t = 0.5 * (1.0 + cos(M_PI * (time - T_vc) / T_vr)); } else { // Rest phase e_t = 0.0; @@ -32,84 +33,3 @@ double OpenLoopCoronaryVarResBC::compute_Ram(double t_cycle, double Ram_min, double Ram_t = sqrt_Ram_min + (sqrt_Ram_max - sqrt_Ram_min) * e_t; return Ram_t * Ram_t; } - -void OpenLoopCoronaryVarResBC::update_constant( - SparseSystem& system, std::vector& parameters) { - auto Ra = parameters[global_param_ids[0]]; - auto Rv = parameters[global_param_ids[3]]; - auto Ca = parameters[global_param_ids[4]]; - auto Cim = parameters[global_param_ids[5]]; - - if (steady) { - // -P_in + (Ra+Ram+Rv)Q_in + Pv = 0 - // V_im = 0 - // Ram = Ram_min at steady state - auto Ram_min = parameters[global_param_ids[1]]; - - system.F.coeffRef(global_eqn_ids[0], global_var_ids[2]) = 1.0; - system.F.coeffRef(global_eqn_ids[1], global_var_ids[0]) = -1.0; - system.F.coeffRef(global_eqn_ids[1], global_var_ids[1]) = Ra + Ram_min + Rv; - } else { - system.F.coeffRef(global_eqn_ids[0], global_var_ids[1]) = Cim * Rv; - system.F.coeffRef(global_eqn_ids[0], global_var_ids[2]) = -1.0; - system.F.coeffRef(global_eqn_ids[1], global_var_ids[0]) = Cim * Rv; - system.F.coeffRef(global_eqn_ids[1], global_var_ids[1]) = -Cim * Rv * Ra; - system.E.coeffRef(global_eqn_ids[0], global_var_ids[0]) = -Ca * Cim * Rv; - system.E.coeffRef(global_eqn_ids[0], global_var_ids[1]) = - Ra * Ca * Cim * Rv; - system.E.coeffRef(global_eqn_ids[0], global_var_ids[2]) = -Cim * Rv; - } -} - -void OpenLoopCoronaryVarResBC::update_time(SparseSystem& system, - std::vector& parameters) { - auto Ram_min = parameters[global_param_ids[1]]; - auto Ram_max = parameters[global_param_ids[2]]; - auto Rv = parameters[global_param_ids[3]]; - auto Cim = parameters[global_param_ids[5]]; - auto Pim = parameters[global_param_ids[6]]; - auto Pv = parameters[global_param_ids[7]]; - auto T_vc = parameters[global_param_ids[8]]; - auto T_vr = parameters[global_param_ids[9]]; - - // Compute time-varying resistance using cycle time - double Ram = compute_Ram(model->time, Ram_min, Ram_max, T_vc, T_vr); - - if (steady) { - system.C(global_eqn_ids[1]) = Pv; - } else { - // Update matrix coefficients that depend on Ram - system.E.coeffRef(global_eqn_ids[1], global_var_ids[2]) = -Cim * Rv * Ram; - system.F.coeffRef(global_eqn_ids[1], global_var_ids[2]) = -(Rv + Ram); - - // Update C vector - system.C(global_eqn_ids[0]) = - Cim * (-Pim + Pv + this->Pim_0 - this->P_Cim_0); - system.C(global_eqn_ids[1]) = - (Ram * Cim * Pv) - - Cim * (Rv + Ram) * (Pim + this->P_Cim_0 - this->Pim_0); - } -} - -void OpenLoopCoronaryVarResBC::setup_initial_state_dependent_params( - State initial_state, std::vector& parameters) { - auto P_in = initial_state.y[global_var_ids[0]]; - auto Q_in = initial_state.y[global_var_ids[1]]; - auto P_in_dot = initial_state.ydot[global_var_ids[0]]; - auto Q_in_dot = initial_state.ydot[global_var_ids[1]]; - auto Ra = parameters[global_param_ids[0]]; - auto Ca = parameters[global_param_ids[4]]; - - // Ram = Ram_min at initial state - auto Ram_min = parameters[global_param_ids[1]]; - - // Pressure proximal to Ca and distal to Ra - auto P_Ca = P_in - Ra * Q_in; - auto P_Ca_dot = P_in_dot - Ra * Q_in_dot; - // Flow into Ram (inflow minus flow into Ca) - auto Q_am = Q_in - Ca * P_Ca_dot; - // Pressure proximal to Cim/Vim and distal to Ram - this->P_Cim_0 = P_Ca - Ram_min * Q_am; - // Initial intramyocardial pressure - this->Pim_0 = parameters[global_param_ids[6]]; -} diff --git a/src/model/OpenLoopCoronaryVarResBC.h b/src/model/OpenLoopCoronaryVarResBC.h index 50aa3a6be..f5f117d38 100644 --- a/src/model/OpenLoopCoronaryVarResBC.h +++ b/src/model/OpenLoopCoronaryVarResBC.h @@ -8,8 +8,8 @@ #define SVZERODSOLVER_MODEL_OPENLOOPCORONARYVARRESBC_HPP_ #include "Block.h" +#include "OpenLoopCoronaryBC.h" #include "Parameter.h" -#include "SparseSystem.h" /** * @brief Open loop coronary boundary condition with time-varying microvascular @@ -65,13 +65,13 @@ * Parameter sequence for constructing this block * * * `0` Ra: Small artery resistance - * * `1` Ram_min: Minimum microvascular resistance - * * `2` Ram_max: Maximum microvascular resistance - * * `3` Rv: Venous resistance - * * `4` Ca: Small artery capacitance - * * `5` Cim: Intramyocardial capacitance - * * `6` Pim: Intramyocardial pressure (time-dependent) - * * `7` Pv: Venous pressure + * * `1` Rv: Venous resistance + * * `2` Ca: Small artery capacitance + * * `3` Cim: Intramyocardial capacitance + * * `4` Pim: Intramyocardial pressure (time-dependent) + * * `5` Pv: Venous pressure + * * `6` Ram_min: Minimum microvascular resistance + * * `7` Ram_max: Maximum microvascular resistance * * `8` T_vc: Contraction time * * `9` T_vr: Relaxation time * @@ -110,7 +110,7 @@ * * `volume_im`: Intramyocardial volume * */ -class OpenLoopCoronaryVarResBC : public Block { +class OpenLoopCoronaryVarResBC : public OpenLoopCoronaryBC { public: /** * @brief Construct a new OpenLoopCoronaryVarResBC object @@ -119,83 +119,34 @@ class OpenLoopCoronaryVarResBC : public Block { * @param model The model to which the block belongs */ OpenLoopCoronaryVarResBC(int id, Model* model) - : Block(id, model, BlockType::open_loop_coronary_var_res_bc, - BlockClass::boundary_condition, - {{"Ra1", InputParameter()}, - {"Ra2_min", InputParameter()}, - {"Ra2_max", InputParameter()}, - {"Rv1", InputParameter()}, - {"Ca", InputParameter()}, - {"Cc", InputParameter()}, - {"t", InputParameter(false, true)}, - {"Pim", InputParameter(false, true)}, - {"P_v", InputParameter()}, - {"T_vc", InputParameter()}, - {"T_vr", InputParameter()}, - {"closed_loop_outlet", InputParameter(true, false, false)}}) {} - - /** - * @brief Set up the degrees of freedom (DOF) of the block - * - * Set \ref global_var_ids and \ref global_eqn_ids of the element based on - * the number of equations and the number of internal variables of the - * element. - * - * @param dofhandler Degree-of-freedom handler to register variables and - * equations at - */ - void setup_dofs(DOFHandler& dofhandler); - - /** - * @brief Setup parameters that depend on the initial state - * - * @param initial_state The initial state of the system - * @param parameters The parameter values vector (at time 0) - */ - void setup_initial_state_dependent_params(State initial_state, - std::vector& parameters); + : OpenLoopCoronaryBC(id, model, + BlockType::open_loop_coronary_var_res_bc, + {{"Ra1", InputParameter()}, + {"Rv1", InputParameter()}, + {"Ca", InputParameter()}, + {"Cc", InputParameter()}, + {"t", InputParameter(false, true)}, + {"Pim", InputParameter(false, true)}, + {"P_v", InputParameter()}, + {"Ra2_min", InputParameter()}, + {"Ra2_max", InputParameter()}, + {"T_vc", InputParameter()}, + {"T_vr", InputParameter()}, + {"closed_loop_outlet", + InputParameter(true, false, false)}}) {} + protected: /** - * @brief Update the constant contributions of the element in a sparse system + * @brief Get time-varying microvascular resistance * - * @param system System to update contributions at - * @param parameters Parameters of the model - */ - void update_constant(SparseSystem& system, std::vector& parameters); - - /** - * @brief Update the time-dependent contributions of the element in a sparse - * system + * Overrides base class to provide time-varying resistance based on + * cardiac cycle phase. * - * @param system System to update contributions at * @param parameters Parameters of the model - */ - void update_time(SparseSystem& system, std::vector& parameters); - - /** - * @brief Number of triplets of element - * - * Number of triplets that the element contributes to the global system - * (relevant for sparse memory reservation) - */ - TripletsContributions num_triplets{5, 4, 0}; - - protected: - double P_Cim_0 = 0; ///< Pressure proximal to Cim/Vim at initial state - double Pim_0 = 0; ///< Pim at initial state - - /** - * @brief Compute time-varying microvascular resistance - * - * @param t_cycle Current time within cardiac cycle - * @param Ram_min Minimum microvascular resistance - * @param Ram_max Maximum microvascular resistance - * @param T_vc Contraction time - * @param T_vr Relaxation time + * @param time Current simulation time * @return Time-varying resistance Ram(t) */ - double compute_Ram(double t_cycle, double Ram_min, double Ram_max, - double T_vc, double T_vr) const; + double get_Ram(std::vector& parameters, double time) const override; }; #endif // SVZERODSOLVER_MODEL_OPENLOOPCORONARYVARRESBC_HPP_ From fcff67f626923d847a49f49c176881a8d56ccd04 Mon Sep 17 00:00:00 2001 From: Martin Pfaller Date: Sun, 7 Dec 2025 13:15:49 -0500 Subject: [PATCH 06/10] fix cycle time --- src/model/OpenLoopCoronaryVarResBC.cpp | 11 +++++++---- 1 file changed, 7 insertions(+), 4 deletions(-) diff --git a/src/model/OpenLoopCoronaryVarResBC.cpp b/src/model/OpenLoopCoronaryVarResBC.cpp index fa3ef3d98..3468b44f2 100644 --- a/src/model/OpenLoopCoronaryVarResBC.cpp +++ b/src/model/OpenLoopCoronaryVarResBC.cpp @@ -14,14 +14,17 @@ double OpenLoopCoronaryVarResBC::get_Ram(std::vector& parameters, auto T_vc = parameters[global_param_ids[8]]; auto T_vr = parameters[global_param_ids[9]]; + // Get time within current cardiac cycle + double t_cycle = fmod(time, model->cardiac_cycle_period); + // Compute e(t) based on phase in cardiac cycle double e_t; - if (time <= T_vc) { + if (t_cycle <= T_vc) { // Contraction phase - e_t = 0.5 * (1.0 - cos(M_PI * time / T_vc)); - } else if (time <= T_vc + T_vr) { + e_t = 0.5 * (1.0 - cos(M_PI * t_cycle / T_vc)); + } else if (t_cycle <= T_vc + T_vr) { // Relaxation phase - e_t = 0.5 * (1.0 + cos(M_PI * (time - T_vc) / T_vr)); + e_t = 0.5 * (1.0 + cos(M_PI * (t_cycle - T_vc) / T_vr)); } else { // Rest phase e_t = 0.0; From cb3284d00fea455a845b7ea1b949a2b51e223881 Mon Sep 17 00:00:00 2001 From: Martin Pfaller Date: Fri, 13 Feb 2026 11:35:23 -0500 Subject: [PATCH 07/10] cleanup --- scripts/jacobian.py | 34 +- src/model/OpenLoopCoronaryVarResBC.h | 29 +- .../pulsatileFlow_R_coronary_varres.json | 386 +- ...esult_pulsatileFlow_R_coronary_varres.json | 36021 +++++++++++++++- tests/compare_coronary_bc.py | 190 - tests/coronary_bc_comparison.png | Bin 308935 -> 0 bytes 6 files changed, 36154 insertions(+), 506 deletions(-) delete mode 100644 tests/compare_coronary_bc.py delete mode 100644 tests/coronary_bc_comparison.png diff --git a/scripts/jacobian.py b/scripts/jacobian.py index 648f5594a..17cfd1694 100755 --- a/scripts/jacobian.py +++ b/scripts/jacobian.py @@ -1,4 +1,4 @@ -from sympy import symbols, Matrix, diff, simplify, pi, Abs +from sympy import symbols, Matrix, simplify, pi, Abs from sympy.printing import ccode import re import pdb @@ -29,8 +29,7 @@ def load_model(filepath): return variables, derivatives, constants, residuals, time_dependent def extract_linear(residuals, y, dy): - def is_constant_coeff(coeff): - return (coeff and coeff.free_symbols.isdisjoint(y.free_symbols | dy.free_symbols)) + zero_subs = [(v, 0) for v in list(y) + list(dy)] nr = residuals.shape[0] ny = y.shape[0] E = Matrix.zeros(nr, ny) @@ -39,8 +38,9 @@ def is_constant_coeff(coeff): for j in range(ny): for mat, dd in zip([E, F], [dy, y]): coeff = residuals[i].coeff(dd[j]) - if is_constant_coeff(coeff): - mat[i, j] = coeff + const_coeff = simplify(coeff.subs(zero_subs)) + if const_coeff: + mat[i, j] = const_coeff return E, F def extract_nonlinear(residuals, E, F, y, dy): @@ -49,27 +49,12 @@ def extract_nonlinear(residuals, E, F, y, dy): dC_dydot = simplify(C.jacobian(dy)) return C, dC_dy, dC_dydot -def is_linear_in(expr, variables): - expr = simplify(expr) - - # 1. No quadratic terms: second derivative wrt each variable is zero - for v in variables: - if simplify(diff(expr, v, 2)) != 0: - return False - - # 2. No cross terms: mixed second derivatives must all be zero - for i, vi in enumerate(variables): - for vj in variables[i+1:]: - if simplify(diff(expr, vi, vj)) != 0: - return False - - return True - def depends_on(expr, symbols_set): return any(sym in expr.free_symbols for sym in symbols_set) def partition_terms(E, F, C, dC_dy, dC_dydot, variables, time_dependent_symbols): parts = {"constant": [], "time": [], "solution": []} + variable_symbols = variables.free_symbols for label, mat in [("E", E), ("F", F), ("C", C), ("dC_dy", dC_dy), ("dC_dydot", dC_dydot)]: for i in range(mat.rows): for j in range(mat.cols): @@ -78,13 +63,16 @@ def partition_terms(E, F, C, dC_dy, dC_dydot, variables, time_dependent_symbols) else: expr = mat[i, j] if expr != 0: - if not is_linear_in(expr, variables): + if depends_on(expr, variable_symbols): target = "solution" elif depends_on(expr, time_dependent_symbols): target = "time" else: target = "constant" - parts[target].append((label, i, j, expr)) + if mat.cols == 1: + parts[target].append((label, i, expr)) + else: + parts[target].append((label, i, j, expr)) return parts def get_expressions(parts, type): diff --git a/src/model/OpenLoopCoronaryVarResBC.h b/src/model/OpenLoopCoronaryVarResBC.h index f5f117d38..7fbf5e85f 100644 --- a/src/model/OpenLoopCoronaryVarResBC.h +++ b/src/model/OpenLoopCoronaryVarResBC.h @@ -119,21 +119,20 @@ class OpenLoopCoronaryVarResBC : public OpenLoopCoronaryBC { * @param model The model to which the block belongs */ OpenLoopCoronaryVarResBC(int id, Model* model) - : OpenLoopCoronaryBC(id, model, - BlockType::open_loop_coronary_var_res_bc, - {{"Ra1", InputParameter()}, - {"Rv1", InputParameter()}, - {"Ca", InputParameter()}, - {"Cc", InputParameter()}, - {"t", InputParameter(false, true)}, - {"Pim", InputParameter(false, true)}, - {"P_v", InputParameter()}, - {"Ra2_min", InputParameter()}, - {"Ra2_max", InputParameter()}, - {"T_vc", InputParameter()}, - {"T_vr", InputParameter()}, - {"closed_loop_outlet", - InputParameter(true, false, false)}}) {} + : OpenLoopCoronaryBC( + id, model, BlockType::open_loop_coronary_var_res_bc, + {{"Ra1", InputParameter()}, + {"Rv1", InputParameter()}, + {"Ca", InputParameter()}, + {"Cc", InputParameter()}, + {"t", InputParameter(false, true)}, + {"Pim", InputParameter(false, true)}, + {"P_v", InputParameter()}, + {"Ra2_min", InputParameter()}, + {"Ra2_max", InputParameter()}, + {"T_vc", InputParameter()}, + {"T_vr", InputParameter()}, + {"closed_loop_outlet", InputParameter(true, false, false)}}) {} protected: /** diff --git a/tests/cases/pulsatileFlow_R_coronary_varres.json b/tests/cases/pulsatileFlow_R_coronary_varres.json index 247d54194..7c8a830b1 100644 --- a/tests/cases/pulsatileFlow_R_coronary_varres.json +++ b/tests/cases/pulsatileFlow_R_coronary_varres.json @@ -1,281 +1,113 @@ { - "description": { - "description of test case": "pulsatile flow -> R -> time-varying coronary BC", - "analytical results": [ - "Notes:", - "This test verifies the time-varying microvascular resistance model", - "The resistance Ram varies according to:", - "Ram(t) = [(sqrt(Ram_max) - sqrt(Ram_min)) * e(t) + sqrt(Ram_min)]^2", - "where e(t) is a piecewise function representing contraction/relaxation/rest phases", - "Boundary conditions:", - "inlet:", - "flow rate: Q(t) = 2.5*SIN(2*PI()*t) + 2.2", - "outlet:", - "Time-varying Coronary: Ra1 = 100, Ra2_min = 50, Ra2_max = 200, Rv1 = 100", - "T_vc = 0.3, T_vr = 0.4, distal pressure = P_v = 0", - "Solutions:", - "The resistance Ram varies between 50 and 200 during the cardiac cycle", - "During contraction phase (0 <= t <= 0.3), Ram increases from 50 to 200", - "During relaxation phase (0.3 < t <= 0.7), Ram decreases from 200 to 50", - "During rest phase (0.7 < t <= 1.0), Ram remains at 50" + "description": { + "description of test case": "pulsatile flow -> R -> time-varying coronary BC", + "analytical results": [ + "Notes:", + "This test verifies the time-varying microvascular resistance model", + "The resistance Ram varies according to:", + "Ram(t) = [(sqrt(Ram_max) - sqrt(Ram_min)) * e(t) + sqrt(Ram_min)]^2", + "where e(t) is a piecewise function representing contraction/relaxation/rest phases", + "Boundary conditions:", + "inlet:", + "flow rate: Q(t) = 2.5*SIN(2*PI()*t) + 2.2", + "outlet:", + "Time-varying Coronary: Ra1 = 100, Ra2_min = 50, Ra2_max = 200, Rv1 = 100", + "T_vc = 0.3, T_vr = 0.4, distal pressure = P_v = 0", + "Solutions:", + "The resistance Ram varies between 50 and 200 during the cardiac cycle", + "During contraction phase (0 <= t <= 0.3), Ram increases from 50 to 200", + "During relaxation phase (0.3 < t <= 0.7), Ram decreases from 200 to 50", + "During rest phase (0.7 < t <= 1.0), Ram remains at 50" + ] + }, + "boundary_conditions": [ + { + "bc_name": "INFLOW", + "bc_type": "FLOW", + "bc_values": { + "Q": [ + 2.2, 2.35697629882328, 2.51333308391076, 2.66845328646431, + 2.82172471791214, 2.97254248593737, 3.1203113817117, 3.26444822891268, + 3.40438418525429, 3.53956698744749, 3.66946313073118, + 3.79355997437172, 3.91136776482172, 4.02242156855353, + 4.12628310693947, 4.22254248593737, 4.31081981375504, + 4.39076670010966, 4.46206763116505, 4.52444121472063, + 4.57764129073788, 4.62145790282158, 4.65571812682172, 4.6802867532862, + 4.69506682107068, 4.7, 4.69506682107068, 4.6802867532862, + 4.65571812682172, 4.62145790282158, 4.57764129073788, + 4.52444121472063, 4.46206763116505, 4.39076670010966, + 4.31081981375504, 4.22254248593737, 4.12628310693947, + 4.02242156855353, 3.91136776482172, 3.79355997437172, + 3.66946313073118, 3.53956698744749, 3.40438418525429, + 3.26444822891268, 3.1203113817117, 2.97254248593737, 2.82172471791214, + 2.66845328646431, 2.51333308391076, 2.35697629882328, 2.2, + 2.04302370117672, 1.88666691608924, 1.73154671353569, + 1.57827528208786, 1.42745751406263, 1.2796886182883, 1.13555177108732, + 0.995615814745713, 0.860433012552509, 0.730536869268818, + 0.606440025628276, 0.488632235178278, 0.377578431446472, + 0.273716893060527, 0.177457514062632, 0.089180186244962, + 0.009233299890341, -0.06206763116505, -0.124441214720628, + -0.177641290737883, -0.221457902821577, -0.255718126821721, + -0.280286753286194, -0.295066821070679, -0.3, -0.295066821070679, + -0.280286753286195, -0.255718126821721, -0.221457902821578, + -0.177641290737884, -0.124441214720628, -0.062067631165049, + 0.009233299890342, 0.089180186244962, 0.177457514062631, + 0.273716893060526, 0.377578431446471, 0.488632235178278, + 0.606440025628276, 0.730536869268817, 0.860433012552509, + 0.995615814745712, 1.13555177108732, 1.27968861828831, + 1.42745751406263, 1.57827528208786, 1.73154671353569, + 1.88666691608924, 2.04302370117672, 2.2 + ], + "t": [ + 0.0, 0.01, 0.02, 0.03, 0.04, 0.05, 0.06, 0.07, 0.08, 0.09, 0.1, 0.11, + 0.12, 0.13, 0.14, 0.15, 0.16, 0.17, 0.18, 0.19, 0.2, 0.21, 0.22, 0.23, + 0.24, 0.25, 0.26, 0.27, 0.28, 0.29, 0.3, 0.31, 0.32, 0.33, 0.34, 0.35, + 0.36, 0.37, 0.38, 0.39, 0.4, 0.41, 0.42, 0.43, 0.44, 0.45, 0.46, 0.47, + 0.48, 0.49, 0.5, 0.51, 0.52, 0.53, 0.54, 0.55, 0.56, 0.57, 0.58, 0.59, + 0.6, 0.61, 0.62, 0.63, 0.64, 0.65, 0.66, 0.67, 0.68, 0.69, 0.7, 0.71, + 0.72, 0.73, 0.74, 0.75, 0.76, 0.77, 0.78, 0.79, 0.8, 0.81, 0.82, 0.83, + 0.84, 0.85, 0.86, 0.87, 0.88, 0.89, 0.9, 0.91, 0.92, 0.93, 0.94, 0.95, + 0.96, 0.97, 0.98, 0.99, 1.0 ] + } }, - "boundary_conditions": [ - { - "bc_name": "INFLOW", - "bc_type": "FLOW", - "bc_values": { - "Q": [ - 2.2, - 2.35697629882328, - 2.51333308391076, - 2.66845328646431, - 2.82172471791214, - 2.97254248593737, - 3.1203113817117, - 3.26444822891268, - 3.40438418525429, - 3.53956698744749, - 3.66946313073118, - 3.79355997437172, - 3.91136776482172, - 4.02242156855353, - 4.12628310693947, - 4.22254248593737, - 4.31081981375504, - 4.39076670010966, - 4.46206763116505, - 4.52444121472063, - 4.57764129073788, - 4.62145790282158, - 4.65571812682172, - 4.6802867532862, - 4.69506682107068, - 4.7, - 4.69506682107068, - 4.6802867532862, - 4.65571812682172, - 4.62145790282158, - 4.57764129073788, - 4.52444121472063, - 4.46206763116505, - 4.39076670010966, - 4.31081981375504, - 4.22254248593737, - 4.12628310693947, - 4.02242156855353, - 3.91136776482172, - 3.79355997437172, - 3.66946313073118, - 3.53956698744749, - 3.40438418525429, - 3.26444822891268, - 3.1203113817117, - 2.97254248593737, - 2.82172471791214, - 2.66845328646431, - 2.51333308391076, - 2.35697629882328, - 2.2, - 2.04302370117672, - 1.88666691608924, - 1.73154671353569, - 1.57827528208786, - 1.42745751406263, - 1.2796886182883, - 1.13555177108732, - 0.995615814745713, - 0.860433012552509, - 0.730536869268818, - 0.606440025628276, - 0.488632235178278, - 0.377578431446472, - 0.273716893060527, - 0.177457514062632, - 0.089180186244962, - 0.009233299890341, - -0.06206763116505, - -0.124441214720628, - -0.177641290737883, - -0.221457902821577, - -0.255718126821721, - -0.280286753286194, - -0.295066821070679, - -0.3, - -0.295066821070679, - -0.280286753286195, - -0.255718126821721, - -0.221457902821578, - -0.177641290737884, - -0.124441214720628, - -0.062067631165049, - 0.009233299890342, - 0.089180186244962, - 0.177457514062631, - 0.273716893060526, - 0.377578431446471, - 0.488632235178278, - 0.606440025628276, - 0.730536869268817, - 0.860433012552509, - 0.995615814745712, - 1.13555177108732, - 1.27968861828831, - 1.42745751406263, - 1.57827528208786, - 1.73154671353569, - 1.88666691608924, - 2.04302370117672, - 2.2 - ], - "t": [ - 0.0, - 0.01, - 0.02, - 0.03, - 0.04, - 0.05, - 0.06, - 0.07, - 0.08, - 0.09, - 0.1, - 0.11, - 0.12, - 0.13, - 0.14, - 0.15, - 0.16, - 0.17, - 0.18, - 0.19, - 0.2, - 0.21, - 0.22, - 0.23, - 0.24, - 0.25, - 0.26, - 0.27, - 0.28, - 0.29, - 0.3, - 0.31, - 0.32, - 0.33, - 0.34, - 0.35, - 0.36, - 0.37, - 0.38, - 0.39, - 0.4, - 0.41, - 0.42, - 0.43, - 0.44, - 0.45, - 0.46, - 0.47, - 0.48, - 0.49, - 0.5, - 0.51, - 0.52, - 0.53, - 0.54, - 0.55, - 0.56, - 0.57, - 0.58, - 0.59, - 0.6, - 0.61, - 0.62, - 0.63, - 0.64, - 0.65, - 0.66, - 0.67, - 0.68, - 0.69, - 0.7, - 0.71, - 0.72, - 0.73, - 0.74, - 0.75, - 0.76, - 0.77, - 0.78, - 0.79, - 0.8, - 0.81, - 0.82, - 0.83, - 0.84, - 0.85, - 0.86, - 0.87, - 0.88, - 0.89, - 0.9, - 0.91, - 0.92, - 0.93, - 0.94, - 0.95, - 0.96, - 0.97, - 0.98, - 0.99, - 1.0 - ] - } - }, - { - "bc_name": "OUT", - "bc_type": "CORONARY_VAR_RES", - "bc_values": { - "Ca": 0.0001, - "Cc": 0.0001, - "Pim": [ - 1000.0, - 1000.0 - ], - "P_v": 0.0, - "Ra1": 100.0, - "Ra2_min": 50.0, - "Ra2_max": 200.0, - "Rv1": 100.0, - "T_vc": 0.3, - "T_vr": 0.4, - "t": [ - 0.0, - 1.0 - ] - } - } - ], - "simulation_parameters": { - "number_of_cardiac_cycles": 30, - "number_of_time_pts_per_cardiac_cycle": 201, - "absolute_tolerance": 1e-09, - "output_all_cycles": true - }, - "vessels": [ - { - "boundary_conditions": { - "inlet": "INFLOW", - "outlet": "OUT" - }, - "vessel_id": 0, - "vessel_length": 10.0, - "vessel_name": "branch0_seg0", - "zero_d_element_type": "BloodVessel", - "zero_d_element_values": { - "R_poiseuille": 100.0 - 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b/tests/cases/results/result_pulsatileFlow_R_coronary_varres.json @@ -1 +1,36020 @@ 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phase - e_t = 0.5 * (1.0 - np.cos(np.pi * t_cycle / T_vc)) - elif t_cycle <= T_vc + T_vr: - # Relaxation phase - e_t = 0.5 * (1.0 + np.cos(np.pi * (t_cycle - T_vc) / T_vr)) - else: - # Rest phase - e_t = 0.0 - - sqrt_Ram_min = np.sqrt(Ram_min) - sqrt_Ram_max = np.sqrt(Ram_max) - Ram_t = sqrt_Ram_min + (sqrt_Ram_max - sqrt_Ram_min) * e_t - return Ram_t * Ram_t - -# Load results -results_dir = os.path.join(os.path.dirname(__file__), 'cases', 'results') -ref_constant = pd.read_json(os.path.join(results_dir, 'result_pulsatileFlow_R_coronary.json')) -ref_varres = pd.read_json(os.path.join(results_dir, 'result_pulsatileFlow_R_coronary_varres.json')) - -# Extract last cardiac cycle (steady state) -# Constant resistance case -t_constant = ref_constant['time'].values -# Find last cycle -t_cycle_start = t_constant[-1] - 1.0 -mask_constant = t_constant >= t_cycle_start -t_constant_last = t_constant[mask_constant] - t_cycle_start -p_in_constant = ref_constant['pressure_in'].values[mask_constant] -p_out_constant = ref_constant['pressure_out'].values[mask_constant] -q_in_constant = ref_constant['flow_in'].values[mask_constant] -q_out_constant = ref_constant['flow_out'].values[mask_constant] - -# Time-varying resistance case -t_varres = ref_varres['time'].values -t_cycle_start = t_varres[-1] - 1.0 -mask_varres = t_varres >= t_cycle_start -t_varres_last = t_varres[mask_varres] - t_cycle_start -p_in_varres = ref_varres['pressure_in'].values[mask_varres] -p_out_varres = ref_varres['pressure_out'].values[mask_varres] -q_in_varres = ref_varres['flow_in'].values[mask_varres] -q_out_varres = ref_varres['flow_out'].values[mask_varres] - -# Compute time-varying resistance for the variable resistance case -Ram_min = 50.0 -Ram_max = 200.0 -T_vc = 0.3 -T_vr = 0.4 -Ram_varres = np.array([compute_Ram(t, Ram_min, Ram_max, T_vc, T_vr) for t in t_varres_last]) - -# For constant case, Ram is constant at 100 (typical value for standard coronary BC) -Ram_constant = np.ones_like(t_constant_last) * 100.0 - -# Create comparison plots -fig, axes = plt.subplots(2, 2, figsize=(14, 10)) -fig.suptitle('Effect of Time-Varying Microvascular Resistance on Coronary Flow', fontsize=14, fontweight='bold') - -# Plot 1: Microvascular Resistance -ax = axes[0, 0] -ax.plot(t_constant_last, Ram_constant, 'b-', linewidth=2, label='Constant Ram') -ax.plot(t_varres_last, Ram_varres, 'r-', linewidth=2, label='Time-varying Ram') -ax.axvspan(0, T_vc, alpha=0.2, color='red', label='Contraction') -ax.axvspan(T_vc, T_vc + T_vr, alpha=0.2, color='yellow', label='Relaxation') -ax.axvspan(T_vc + T_vr, 1.0, alpha=0.2, color='green', label='Rest') -ax.set_xlabel('Time in cardiac cycle (s)', fontsize=11) -ax.set_ylabel('Ram (microvascular resistance)', fontsize=11) -ax.set_title('Microvascular Resistance Variation', fontweight='bold') -ax.grid(True, alpha=0.3) -ax.legend(loc='upper right') -ax.set_xlim([0, 1.0]) - -# Plot 2: Outlet Pressure -ax = axes[0, 1] -ax.plot(t_constant_last, p_out_constant, 'b-', linewidth=2, label='Constant Ram') -ax.plot(t_varres_last, p_out_varres, 'r-', linewidth=2, label='Time-varying Ram') -ax.axvspan(0, T_vc, alpha=0.1, color='red') -ax.axvspan(T_vc, T_vc + T_vr, alpha=0.1, color='yellow') -ax.axvspan(T_vc + T_vr, 1.0, alpha=0.1, color='green') -ax.set_xlabel('Time in cardiac cycle (s)', fontsize=11) -ax.set_ylabel('Outlet Pressure (Pa)', fontsize=11) -ax.set_title('Outlet Pressure Comparison', fontweight='bold') -ax.grid(True, alpha=0.3) -ax.legend() -ax.set_xlim([0, 1.0]) - -# Plot 3: Flow Rate -ax = axes[1, 0] -ax.plot(t_constant_last, q_out_constant, 'b-', linewidth=2, label='Constant Ram') -ax.plot(t_varres_last, q_out_varres, 'r-', linewidth=2, label='Time-varying Ram') -ax.axvspan(0, T_vc, alpha=0.1, color='red') -ax.axvspan(T_vc, T_vc + T_vr, alpha=0.1, color='yellow') -ax.axvspan(T_vc + T_vr, 1.0, alpha=0.1, color='green') -ax.set_xlabel('Time in cardiac cycle (s)', fontsize=11) -ax.set_ylabel('Outlet Flow Rate (mL/s)', fontsize=11) -ax.set_title('Outlet Flow Rate Comparison', fontweight='bold') -ax.grid(True, alpha=0.3) -ax.legend() -ax.set_xlim([0, 1.0]) - -# Plot 4: Pressure-Flow Relationship -ax = axes[1, 1] -ax.plot(q_out_constant, p_out_constant, 'b-', linewidth=2, label='Constant Ram', alpha=0.7) -ax.plot(q_out_varres, p_out_varres, 'r-', linewidth=2, label='Time-varying Ram', alpha=0.7) -ax.set_xlabel('Flow Rate (mL/s)', fontsize=11) -ax.set_ylabel('Outlet Pressure (Pa)', fontsize=11) -ax.set_title('Pressure-Flow Loop', fontweight='bold') -ax.grid(True, alpha=0.3) -ax.legend() - -plt.tight_layout() - -# Print summary statistics -print("=" * 70) -print("Comparison of Constant vs. Time-Varying Coronary Resistance") -print("=" * 70) -print() -print("CONSTANT RESISTANCE (Ram = 100):") -print(f" Outlet Pressure: {p_out_constant.mean():.2f} ± {p_out_constant.std():.2f} Pa") -print(f" Outlet Flow: {q_out_constant.mean():.3f} ± {q_out_constant.std():.3f} mL/s") -print(f" Pressure range: [{p_out_constant.min():.2f}, {p_out_constant.max():.2f}] Pa") -print(f" Flow range: [{q_out_constant.min():.3f}, {q_out_constant.max():.3f}] mL/s") -print() -print("TIME-VARYING RESISTANCE (Ram: 50 → 200 → 50):") -print(f" Outlet Pressure: {p_out_varres.mean():.2f} ± {p_out_varres.std():.2f} Pa") -print(f" Outlet Flow: {q_out_varres.mean():.3f} ± {q_out_varres.std():.3f} mL/s") -print(f" Pressure range: [{p_out_varres.min():.2f}, {p_out_varres.max():.2f}] Pa") -print(f" Flow range: [{q_out_varres.min():.3f}, {q_out_varres.max():.3f}] mL/s") -print() -print("DIFFERENCES (Time-varying - Constant):") -print(f" Mean pressure: {p_out_varres.mean() - p_out_constant.mean():+.2f} Pa ({(p_out_varres.mean()/p_out_constant.mean()-1)*100:+.1f}%)") -print(f" Mean flow: {q_out_varres.mean() - q_out_constant.mean():+.3f} mL/s ({(q_out_varres.mean()/q_out_constant.mean()-1)*100:+.1f}%)") -print(f" Pressure std: {p_out_varres.std() - p_out_constant.std():+.2f} Pa") -print(f" Flow std: {q_out_varres.std() - q_out_constant.std():+.3f} mL/s") -print() - -# Phase analysis -print("PHASE-SPECIFIC ANALYSIS:") -print() - -# Contraction phase (0 to T_vc) -mask_contract_const = t_constant_last <= T_vc -mask_contract_var = t_varres_last <= T_vc -print(f"CONTRACTION PHASE (0 → {T_vc}s, Ram increases):") -print(f" Constant: P_out = {p_out_constant[mask_contract_const].mean():.2f} Pa, Q = {q_out_constant[mask_contract_const].mean():.3f} mL/s") -print(f" Time-varying: P_out = {p_out_varres[mask_contract_var].mean():.2f} Pa, Q = {q_out_varres[mask_contract_var].mean():.3f} mL/s") -print(f" Effect: Pressure {(p_out_varres[mask_contract_var].mean()/p_out_constant[mask_contract_const].mean()-1)*100:+.1f}%, Flow {(q_out_varres[mask_contract_var].mean()/q_out_constant[mask_contract_const].mean()-1)*100:+.1f}%") -print() - -# Relaxation phase (T_vc to T_vc + T_vr) -mask_relax_const = (t_constant_last > T_vc) & (t_constant_last <= T_vc + T_vr) -mask_relax_var = (t_varres_last > T_vc) & (t_varres_last <= T_vc + T_vr) -print(f"RELAXATION PHASE ({T_vc} → {T_vc + T_vr}s, Ram decreases):") -print(f" Constant: P_out = {p_out_constant[mask_relax_const].mean():.2f} Pa, Q = {q_out_constant[mask_relax_const].mean():.3f} mL/s") -print(f" Time-varying: P_out = {p_out_varres[mask_relax_var].mean():.2f} Pa, Q = {q_out_varres[mask_relax_var].mean():.3f} mL/s") -print(f" Effect: Pressure {(p_out_varres[mask_relax_var].mean()/p_out_constant[mask_relax_const].mean()-1)*100:+.1f}%, Flow {(q_out_varres[mask_relax_var].mean()/q_out_constant[mask_relax_const].mean()-1)*100:+.1f}%") -print() - -# Rest phase (T_vc + T_vr to 1.0) -mask_rest_const = t_constant_last > T_vc + T_vr -mask_rest_var = t_varres_last > T_vc + T_vr -print(f"REST PHASE ({T_vc + T_vr} → 1.0s, Ram = {Ram_min}):") -print(f" Constant: P_out = {p_out_constant[mask_rest_const].mean():.2f} Pa, Q = {q_out_constant[mask_rest_const].mean():.3f} mL/s") -print(f" Time-varying: P_out = {p_out_varres[mask_rest_var].mean():.2f} Pa, Q = {q_out_varres[mask_rest_var].mean():.3f} mL/s") -print(f" Effect: Pressure {(p_out_varres[mask_rest_var].mean()/p_out_constant[mask_rest_const].mean()-1)*100:+.1f}%, Flow {(q_out_varres[mask_rest_var].mean()/q_out_constant[mask_rest_const].mean()-1)*100:+.1f}%") -print() -print("=" * 70) - -output_path = os.path.join(os.path.dirname(__file__), 'coronary_bc_comparison.png') -plt.savefig(output_path, dpi=150, bbox_inches='tight') -print() -print(f"Plot saved to: {output_path}") -print() - -# Uncomment the line below to display the plot -# plt.show() diff --git a/tests/coronary_bc_comparison.png b/tests/coronary_bc_comparison.png deleted file mode 100644 index f5f25e52f917e843b0be3710ec7c201b616447b4..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 308935 zcmd43hdwEw1$94Y!_v6>&IwR0}lrk+13k?+&6|Jg@f)*9k z#sgGT>ppH=kDt^sojQ;I5qDP9bJn)M=gnzrVwiO|LWorhK8Cl^|H>d8vK^B#?#Yt$BrGxV>GyYb1yfA 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\ No newline at end of file From dc472e53e62c2fb1aad1acaa1a46497a71420620 Mon Sep 17 00:00:00 2001 From: Martin Pfaller Date: Fri, 13 Feb 2026 12:57:20 -0500 Subject: [PATCH 09/10] fix formatting --- ...esult_pulsatileFlow_R_coronary_varres.json | 36021 +++++++++++++++- 1 file changed, 36020 insertions(+), 1 deletion(-) diff --git a/tests/cases/results/result_pulsatileFlow_R_coronary_varres.json b/tests/cases/results/result_pulsatileFlow_R_coronary_varres.json index 4e81a49b8..d89d439e1 100644 --- a/tests/cases/results/result_pulsatileFlow_R_coronary_varres.json +++ b/tests/cases/results/result_pulsatileFlow_R_coronary_varres.json @@ -1 +1,36020 @@ 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000000000..93378161d --- /dev/null +++ b/tests/cases/dirgraph-results/pulsatileFlow_R_coronary_varres_directed_graph.dot @@ -0,0 +1,7 @@ +strict digraph { +BC0_inlet; +V0; +BC0_outlet; +BC0_inlet -> V0; +V0 -> BC0_outlet; +}