diff --git a/scripts/ChamberSphere_StrainDepActStress.yaml b/scripts/ChamberSphere_StrainDepActStress.yaml new file mode 100644 index 000000000..493bff324 --- /dev/null +++ b/scripts/ChamberSphere_StrainDepActStress.yaml @@ -0,0 +1,83 @@ +variables: + - Pin + - Qin + - Pout + - Qout + - radius + - velo + - stress + - tau + - volume + - e_c + - tau_c + - k_c + - omega + +derivatives: + - dPin_dt + - dQin_dt + - dPout_dt + - dQout_dt + - dradius_dt + - dvelo_dt + - dstress_dt + - dtau_dt + - dvolume_dt + - de_c_dt + - dtau_c_dt + - dk_c_dt + - domega_dt + +constants: + - rho + - thick0 + - radius0 + - C0 + - C1 + - C2 + - C3 + - eta + - E_s + - mu + - alpha_r + - alpha + - k_0 + - sigma_0 + - m_0 + - n_0 + - u_plus + - u_minus + +time_dependent: + - u_plus + - u_minus + +strain_dependent: + - m_0 + - n_0 + +helper_functions: | + def CG(radius): + return (1 + (radius / radius0)) ** 2 + + def dCG(radius, dradius_dt): + return 2 * (1 + (radius / radius0)) * (1 / radius0) * dradius_dt + + def dW1(radius): + return C0 * exp(C1 * (((1 + (radius / radius0))**(-4) + 2*(1 + (radius / radius0))**2) - 3)**2) * 2 * C1 * (((1 + (radius / radius0))**(-4) + 2*(1 + (radius / radius0))**2) - 3) + + def dW4(radius): + return C2 * exp(C3 * ((((1 + (radius / radius0)) ** 2)-1)**2)) * 2 * C3 * (((1 + (radius / radius0)) ** 2) - 1) + +residuals: + - rho * thick0 * dvelo_dt + (thick0 / radius0) * (1 + (radius / radius0)) * stress - Pout * CG(radius) + - -stress + 4 * dW1(radius) *(1 - CG(radius)**(-3)) + 2 * dW4(radius) + eta * dCG(radius,dradius_dt) * (1 + 2 * (CG(radius)**(-6))) + tau + - 4 * pi * radius0 ** 2 * CG(radius) * velo - dvolume_dt + - dradius_dt - velo + - Qin - Qout - dvolume_dt + - Pin - Pout + - -tau + E_s * (radius/radius0 +0.5 * (radius / radius0) ** 2 - e_c) / ((1 + 2 * e_c) ** 2) + - -alpha_r * domega_dt + m_0 - omega + - -tau_c - mu * de_c_dt + E_s * ((radius/radius0 +0.5 * (radius / radius0) ** 2 - e_c) * (1 + 2 * radius/radius0 + (radius/ radius0) ** 2)) / ((1 + 2 * e_c) ** 3) + - -dk_c_dt - (u_plus + omega * abs(u_minus) + alpha * abs(de_c_dt)) * k_c + n_0 * k_0 * u_plus + - -dtau_c_dt - (u_plus + omega * abs(u_minus) + alpha * abs(de_c_dt)) * tau_c + n_0 * sigma_0 * u_plus + k_c * de_c_dt \ No newline at end of file diff --git a/scripts/jacobian_strainDependence.py b/scripts/jacobian_strainDependence.py new file mode 100755 index 000000000..08f5a1c13 --- /dev/null +++ b/scripts/jacobian_strainDependence.py @@ -0,0 +1,148 @@ +from sympy import symbols, Matrix, simplify, pi, Abs, exp +from sympy.printing import ccode +import re +import pdb +import yaml +import argparse + +def load_model(filepath): + with open(filepath, 'r') as file: + data = yaml.safe_load(file) + + variables = Matrix(symbols(' '.join(data['variables']), real=True)) + derivatives = Matrix(symbols(' '.join(data['derivatives']), real=True)) + constants = symbols(' '.join(data['constants']), real=True) + + context = {str(s): s for s in list(variables) + list(derivatives) + list(constants)} + context['pi'] = pi + context['abs'] = Abs + context['exp'] = exp + + if 'helper_functions' in data: + exec(data['helper_functions'], context, context) + residual_exprs = [eval(res, context, context) for res in data['residuals']] + + residuals = Matrix(residual_exprs) + time_dependent = {context[s] for s in data.get('time_dependent', [])} + strain_dependent = {context[s] for s in data.get('strain_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, strain_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)) + nr = residuals.shape[0] + ny = y.shape[0] + E = Matrix.zeros(nr, ny) + F = Matrix.zeros(nr, ny) + for i in range(nr): + 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 + return E, F + +def extract_nonlinear(residuals, E, F, y, dy): + C = simplify(residuals - E * dy - F * y) + dC_dy = simplify(C.jacobian(y)) + dC_dydot = simplify(C.jacobian(dy)) + return C, dC_dy, dC_dydot + +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, strain_dependent_symbols): + parts = {"constant": [], "time": [], "solution": [], "strain": []} + 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" + elif depends_on(mat[i, j], strain_dependent_symbols): + target = "strain" + else: + target = "constant" + parts[target].append((label, i, j, mat[i, j])) + return parts + +def get_expressions(parts, type): + expressions = [part[-1] for part in parts] + deps = set().union(*(expr.free_symbols for expr in expressions)) + return deps.intersection(type) + +def replace_symbolic_indices(expr, base): + pattern = re.compile(rf'\b{base}(\d+)\b') + return pattern.sub(rf'{base}[global_var_ids[\1]]', expr) + +def format_cpp_expr(expr): + try: + cpp_expr = ccode(expr).replace('3.141592653589793', 'M_PI') + except: + pdb.set_trace() + cpp_expr = replace_symbolic_indices(cpp_expr, 'y') + cpp_expr = replace_symbolic_indices(cpp_expr, 'dy') + return cpp_expr + +def print_index(i, j=None): + print(f".coeffRef(global_eqn_ids[{i}]", end='') + if j is not None: + print(f", global_var_ids[{j}]", end='') + print(f")", end='') + +def print_system(parts): + for part in parts: + if part[-1] != 0: + print(f" system.{part[0]}", end='') + if len(part) == 3: + print_index(part[1]) + elif len(part) == 4: + print_index(part[1], part[2]) + print(f" = {format_cpp_expr(part[-1])};") + +def print_constants(parts, constants, time_dependent, strain_dependent): + for out in get_expressions(parts, constants): + if out in time_dependent: + print(f" // compute time dependent constant {out}") + elif out in strain_dependent: + print(f" // compute strain dependent constant {out}") + else: + print(f" const double {out} = parameters[global_param_ids[ParamId::{out}]];") + +def print_variables(parts, y, dy): + for out in get_expressions(parts, y.free_symbols | dy.free_symbols): + for name, vec in zip(['y', 'dy'], [y, dy]): + if out in vec: + index = next(i for i, sym in enumerate(vec) if sym == out) + print(f" const double {out} = {name}[global_var_ids[{index}]];") + +def main(yaml_path): + # read model from yaml file + y, dy, constants, residuals, time_dependent, strain_dependent = load_model(yaml_path) + + # extract linear and nonlinear terms + E, F = extract_linear(residuals, y, dy) + 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, strain_dependent) + + # print C++ code + for section in ['constant', 'time', 'strain', 'solution']: + print(f'update_{section}') + print_constants(parts[section], constants, time_dependent, strain_dependent) + print_variables(parts[section], y, dy) + print_system(parts[section]) + print() + +if __name__ == "__main__": + parser = argparse.ArgumentParser(description='Process YAML model file to generate C++ code for svZeroDSolver') + parser.add_argument('yaml_file', help='Path to YAML model file') + args = parser.parse_args() + main(args.yaml_file) \ No newline at end of file diff --git a/src/model/ActivationFunction.cpp b/src/model/ActivationFunction.cpp index adf3cc74a..b1bf0131d 100644 --- a/src/model/ActivationFunction.cpp +++ b/src/model/ActivationFunction.cpp @@ -50,10 +50,13 @@ std::unique_ptr ActivationFunction::create_default( if (type_str == "wrapping_cosine") { return std::make_unique(cardiac_period); } + if (type_str == "piecewise_rate") { + return std::make_unique(cardiac_period); + } throw std::runtime_error( "Unknown activation_function type '" + type_str + "'. Must be one of: half_cosine, piecewise_cosine, two_hill, " - "double_tanh, fourier, wrapping_cosine"); + "double_tanh, fourier, wrapping_cosine, piecewise_rate"); } double HalfCosineActivation::compute(double time) { @@ -251,3 +254,31 @@ double FourierActivation::compute(double time) { double t_in_cycle = std::fmod(time, cardiac_period_); return (compute_raw(t_in_cycle) - norm_min_) / norm_range_; } + +// ============================================================ +// PiecewiseRateActivation — activation rate signal u(t) for the +// strain-dependent active-stress model (Caruel 2013) +// ============================================================ + +double PiecewiseRateActivation::compute(double time) { + const double t_in_cycle = std::fmod(time, cardiac_period_); + double u; + if (t_in_cycle <= 0.1) { + u = -3.2; + } else if (t_in_cycle > 0.1 && t_in_cycle <= 0.27) { + u = -3.2 + 38.2 / 0.17 * (t_in_cycle - 0.1); + } else if (t_in_cycle > 0.27 && t_in_cycle <= 0.32) { + u = 35; + } else if (t_in_cycle > 0.32 && t_in_cycle <= 0.34) { + u = 35 - (35 / 0.02) * (t_in_cycle - 0.32); + } else if (t_in_cycle > 0.34 && t_in_cycle <= 0.46) { + u = 24 - 12 / 0.12 * (t_in_cycle - 0.1); + } else if (t_in_cycle > 0.46 && t_in_cycle <= 0.59) { + u = -12; + } else if (t_in_cycle > 0.59 && t_in_cycle <= 0.6) { + u = -443.2 + 8.8 / 0.01 * (t_in_cycle - 0.1); + } else { + u = -3.2; + } + return u; +} diff --git a/src/model/ActivationFunction.h b/src/model/ActivationFunction.h index 2f4e1b3b6..824ed3cb2 100644 --- a/src/model/ActivationFunction.h +++ b/src/model/ActivationFunction.h @@ -60,7 +60,7 @@ class ActivationFunction { * @brief Create a default activation function from activation function type * * @param type_str One of: "half_cosine", "piecewise_cosine", "two_hill", - * "double_tanh", "wrapping_cosine", "fourier" + * "double_tanh", "wrapping_cosine", "fourier", "piecewise_rate" * @param cardiac_period Cardiac cycle period * @return Unique pointer to the created activation function */ @@ -304,4 +304,25 @@ class FourierActivation : public ActivationFunction { bool normalization_initialized_; }; +/** + * @brief Piecewise-linear activation rate activation signal + * + * Reproduces the activation rate signal \f$u(t)\f$ driving the + * \ref StrainDependentActiveStress model (Caruel et al. 2013). It is a piecewise-linear function of time within the + * cardiac cycle whose sign is meaningful (split into positive/negative parts + * by the strain-dependent active stress model). + */ +class PiecewiseRateActivation : public ActivationFunction { + public: + /** + * @brief Construct a new PiecewiseRateActivation object + * + * @param cardiac_period Cardiac cycle period + */ + explicit PiecewiseRateActivation(double cardiac_period) + : ActivationFunction(cardiac_period, {}) {} + + double compute(double time) override; +}; + #endif // SVZERODSOLVER_MODEL_ACTIVATIONFUNCTION_HPP_ diff --git a/src/model/ActiveStress.cpp b/src/model/ActiveStress.cpp new file mode 100644 index 000000000..1e09b7203 --- /dev/null +++ b/src/model/ActiveStress.cpp @@ -0,0 +1,223 @@ +// SPDX-FileCopyrightText: Copyright (c) Stanford University, The Regents of the +// University of California, and others. SPDX-License-Identifier: BSD-3-Clause + +#include "ActiveStress.h" + +#include +#include +#include + +ActiveStress::ActiveStress( + const std::vector>& props) + : input_param_properties(props) { + for (const auto& p : props) { + if (p.second.is_number) { + params_[p.first] = p.second.is_optional ? p.second.default_val : 0.0; + } + } +} + +void ActiveStress::set_param(const std::string& name, double value) { + params_[name] = value; +} + +std::unique_ptr ActiveStress::create( + const std::string& type_str) { + if (type_str == "strain_independent") { + return std::make_unique(); + } + if (type_str == "strain_dependent") { + return std::make_unique(); + } + throw std::runtime_error( + "Unknown active_stress type '" + type_str + + "'. Must be one of: strain_independent, strain_dependent"); +} + +// ============================================================ +// StrainIndependentActiveStress +// ============================================================ + +void StrainIndependentActiveStress::update_constant( + SparseSystem& system, const std::vector& global_eqn_ids, + const std::vector& global_var_ids) { + system.E.coeffRef(global_eqn_ids[NUM_CORE_EQNS], global_var_ids[TAU_VAR]) = + 1; +} + +void StrainIndependentActiveStress::update_time( + SparseSystem& system, const std::vector& global_eqn_ids, + const std::vector& global_var_ids, double activation_signal) { + const double alpha_max = params_.at("alpha_max"); + const double alpha_min = params_.at("alpha_min"); + + const double act_t = + alpha_max * activation_signal + alpha_min * (1 - activation_signal); + act_ = std::abs(act_t); + act_plus_ = std::max(act_t, 0.0); + + system.F.coeffRef(global_eqn_ids[NUM_CORE_EQNS], global_var_ids[TAU_VAR]) = + act_; +} + +void StrainIndependentActiveStress::update_solution( + SparseSystem& system, const std::vector& global_eqn_ids, + const std::vector& global_var_ids, + const Eigen::Matrix& y, + const Eigen::Matrix& dy, double radius0, + double activation_signal) { + (void)global_var_ids; + (void)y; + (void)dy; + (void)radius0; + (void)activation_signal; + + const double sigma_max = params_.at("sigma_max"); + system.C.coeffRef(global_eqn_ids[NUM_CORE_EQNS]) = -act_plus_ * sigma_max; +} + +// ============================================================ +// StrainDependentActiveStress +// ============================================================ + +void StrainDependentActiveStress::update_constant( + SparseSystem& system, const std::vector& global_eqn_ids, + const std::vector& global_var_ids) { + const double alpha_r = params_.at("alpha_r"); + const double mu = params_.at("mu"); + + // active stress + system.F.coeffRef(global_eqn_ids[TAU_EQN], global_var_ids[TAU_VAR]) = -1; + + // relaxation dynamics + system.E.coeffRef(global_eqn_ids[OMEGA_EQN], global_var_ids[OMEGA_VAR]) = + -alpha_r; + system.F.coeffRef(global_eqn_ids[OMEGA_EQN], global_var_ids[OMEGA_VAR]) = + -1; + + // sarcomere strain + system.E.coeffRef(global_eqn_ids[E_C_EQN], global_var_ids[E_C_VAR]) = -mu; + system.F.coeffRef(global_eqn_ids[E_C_EQN], global_var_ids[TAU_C_VAR]) = -1; + + // sarcomere stiffness + system.E.coeffRef(global_eqn_ids[K_C_EQN], global_var_ids[K_C_VAR]) = -1; + + // sarcomere active stress + system.E.coeffRef(global_eqn_ids[TAU_C_EQN], global_var_ids[TAU_C_VAR]) = + -1; +} + +void StrainDependentActiveStress::update_active_stress_values(double e_c, + double u) { + // activation strain-dependence + if (e_c > -0.4 && e_c <= 0.3) { + n_0_ = 0.22 + 0.53 * e_c; + } else if (e_c > 0.3 && e_c <= 1.0) { + n_0_ = 0.112857125 + 0.8871428571 * e_c; + } else if (e_c > 1.0 && e_c <= 1.3) { + n_0_ = 1; + } else if (e_c > 1.3 && e_c <= 2.4) { + n_0_ = 2.182 - 0.9091 * e_c; + } else { + n_0_ = 0.0; + } + + // relaxation strain-dependence + if (e_c <= 0.95) { + m_0_ = 1.87; + } else if (e_c > 0.95 && e_c <= 1.0) { + m_0_ = 18.4 - 17.4 * e_c; + } else { + m_0_ = 1.0; + } + + if (u >= 0.0) { + u_plus_ = u; + u_minus_ = 0.0; + } else { + u_plus_ = 0.0; + u_minus_ = u; + } +} + +void StrainDependentActiveStress::update_solution( + SparseSystem& system, const std::vector& global_eqn_ids, + const std::vector& global_var_ids, + const Eigen::Matrix& y, + const Eigen::Matrix& dy, double radius0, + double activation_signal) { + const double radius = y[global_var_ids[RADIUS_VAR]]; + const double e_c = y[global_var_ids[E_C_VAR]]; + const double tau_c = y[global_var_ids[TAU_C_VAR]]; + const double k_c = y[global_var_ids[K_C_VAR]]; + const double omega = y[global_var_ids[OMEGA_VAR]]; + const double de_c_dt = dy[global_var_ids[E_C_VAR]]; + + update_active_stress_values(e_c, activation_signal); + + const double E_s = params_.at("E_s"); + const double alpha = params_.at("alpha"); + const double k_0 = params_.at("k_0"); + const double sigma_0 = params_.at("sigma_0"); + + // active stress + system.C.coeffRef(global_eqn_ids[TAU_EQN]) = + E_s * + (-e_c * pow(radius0, 2) + 0.5 * pow(radius, 2) + radius * radius0) / + (pow(radius0, 2) * pow(2 * e_c + 1, 2)); + system.dC_dy.coeffRef(global_eqn_ids[TAU_EQN], global_var_ids[RADIUS_VAR]) = + E_s * (1.0 * radius + radius0) / (pow(radius0, 2) * pow(2 * e_c + 1, 2)); + system.dC_dy.coeffRef(global_eqn_ids[TAU_EQN], global_var_ids[E_C_VAR]) = + E_s * + (4 * e_c * pow(radius0, 2) - 2.0 * pow(radius, 2) - + 4 * radius * radius0 - pow(radius0, 2) * (2 * e_c + 1)) / + (pow(radius0, 2) * pow(2 * e_c + 1, 3)); + + // relaxation dynamics + system.C.coeffRef(global_eqn_ids[OMEGA_EQN]) = m_0_; + + // sarcomere element strain + system.C.coeffRef(global_eqn_ids[E_C_EQN]) = + E_s * (pow(radius, 2) + 2 * radius * radius0 + pow(radius0, 2)) * + (-e_c * pow(radius0, 2) + 0.5 * pow(radius, 2) + radius * radius0) / + (pow(radius0, 4) * pow(2 * e_c + 1, 3)); + system.dC_dy.coeffRef(global_eqn_ids[E_C_EQN], global_var_ids[RADIUS_VAR]) = + E_s * + (2 * (radius + radius0) * + (-e_c * pow(radius0, 2) + 0.5 * pow(radius, 2) + + radius * radius0) + + (1.0 * radius + radius0) * + (pow(radius, 2) + 2 * radius * radius0 + pow(radius0, 2))) / + (pow(radius0, 4) * pow(2 * e_c + 1, 3)); + system.dC_dy.coeffRef(global_eqn_ids[E_C_EQN], global_var_ids[E_C_VAR]) = + E_s * (pow(radius, 2) + 2 * radius * radius0 + pow(radius0, 2)) * + (6 * e_c * pow(radius0, 2) - 3.0 * pow(radius, 2) - + 6 * radius * radius0 - pow(radius0, 2) * (2 * e_c + 1)) / + (pow(radius0, 4) * pow(2 * e_c + 1, 4)); + + // sarcomere stiffness + system.C.coeffRef(global_eqn_ids[K_C_EQN]) = + k_0 * n_0_ * u_plus_ - + k_c * (alpha * fabs(de_c_dt) + omega * fabs(u_minus_) + u_plus_); + system.dC_dydot.coeffRef(global_eqn_ids[K_C_EQN], global_var_ids[E_C_VAR]) = + ((de_c_dt == 0) ? (0) : (-alpha * de_c_dt * k_c / fabs(de_c_dt))); + system.dC_dy.coeffRef(global_eqn_ids[K_C_EQN], global_var_ids[K_C_VAR]) = + -alpha * fabs(de_c_dt) - omega * fabs(u_minus_) - u_plus_; + system.dC_dy.coeffRef(global_eqn_ids[K_C_EQN], global_var_ids[OMEGA_VAR]) = + -k_c * fabs(u_minus_); + + // sarcomere active stress + system.C.coeffRef(global_eqn_ids[TAU_C_EQN]) = + de_c_dt * k_c + n_0_ * sigma_0 * u_plus_ - + tau_c * (alpha * fabs(de_c_dt) + omega * fabs(u_minus_) + u_plus_); + system.dC_dydot.coeffRef(global_eqn_ids[TAU_C_EQN], + global_var_ids[E_C_VAR]) = + ((de_c_dt == 0) ? (k_c) + : (-alpha * de_c_dt * tau_c / fabs(de_c_dt) + k_c)); + system.dC_dy.coeffRef(global_eqn_ids[TAU_C_EQN], global_var_ids[TAU_C_VAR]) = + -alpha * fabs(de_c_dt) - omega * fabs(u_minus_) - u_plus_; + system.dC_dy.coeffRef(global_eqn_ids[TAU_C_EQN], global_var_ids[K_C_VAR]) = + de_c_dt; + system.dC_dy.coeffRef(global_eqn_ids[TAU_C_EQN], global_var_ids[OMEGA_VAR]) = + -tau_c * fabs(u_minus_); +} diff --git a/src/model/ActiveStress.h b/src/model/ActiveStress.h new file mode 100644 index 000000000..c040013d6 --- /dev/null +++ b/src/model/ActiveStress.h @@ -0,0 +1,316 @@ +// SPDX-FileCopyrightText: Copyright (c) Stanford University, The Regents of the +// University of California, and others. SPDX-License-Identifier: BSD-3-Clause + +/** + * @file ActiveStress.h + * @brief Active stress models for chamber blocks + */ + +#ifndef SVZERODSOLVER_MODEL_ACTIVESTRESS_HPP_ +#define SVZERODSOLVER_MODEL_ACTIVESTRESS_HPP_ + +#include +#include +#include +#include +#include +#include + +#include "Parameter.h" +#include "SparseSystem.h" + +/** + * @brief Base class for chamber active stress models + * + * An ActiveStress owns the dynamics of a chamber's active stress \f$\tau\f$. + * Subclasses may introduce additional internal variables and equations + * beyond ChamberSphere's fixed core state, and write directly into the same + * global SparseSystem that ChamberSphere writes into, using indices that are + * a fixed offset into ChamberSphere's own \ref Block::global_var_ids and + * \ref Block::global_eqn_ids arrays (which are passed down unchanged). + * + * ChamberSphere::setup_dofs() always registers, in this order: + * internal variables `radius, velo, stress, tau, volume, + * ` and equations `momentum, spherical_stress, + * volume_change, acceleration, mass_conservation, pressure_equality, + * `, so the offsets below are invariant across + * ActiveStress subclasses. + */ +class ActiveStress { + public: + /** + * @name Fixed layout of ChamberSphere's always-present ("core") state + * + * Indices into the full \ref Block::global_var_ids / \ref + * Block::global_eqn_ids arrays that ChamberSphere passes down unchanged. + */ + ///@{ + static constexpr int RADIUS_VAR = 4; ///< Radius position within ChamberSphere's own global_var_ids array + static constexpr int VELO_VAR = 5; ///< Radial velocity position within ChamberSphere's own global_var_ids array + ///< + static constexpr int STRESS_VAR = 6; ///< Total wall stress position within ChamberSphere's own global_var_ids array + ///< + static constexpr int TAU_VAR = 7; ///< Active stress \f$\tau\f$ position within ChamberSphere's own global_var_ids array + ///< + static constexpr int VOLUME_VAR = 8; ///< Volume position within ChamberSphere's own global_var_ids array + static constexpr int NUM_CORE_VARS = 9; ///< A subclass's own extra + ///< variables start at + ///< global_var_ids[NUM_CORE_VARS + i] + static constexpr int NUM_CORE_EQNS = 6; ///< A subclass's own extra + ///< equations start at + ///< global_eqn_ids[NUM_CORE_EQNS + i] + ///@} + + /** + * @brief Properties of the input parameters for this active stress model + * [(name, InputParameter), ...] + */ + const std::vector> + input_param_properties; + + /** + * @brief Construct an ActiveStress model + * + * @param props Parameter name/spec pairs for this active stress type + */ + explicit ActiveStress( + const std::vector>& props); + + virtual ~ActiveStress() = default; + + /** + * @brief Number of internal variables this model owns beyond + * ChamberSphere's fixed 5 (radius, velo, stress, tau, volume) + * + * @return Number of extra internal variables + */ + virtual int num_extra_vars() const { return 0; } + + /** + * @brief Names of this model's extra internal variables, in registration + * order (appended immediately after "volume") + * + * @return List of extra internal variable names + */ + virtual std::list extra_var_names() const { return {}; } + + /** + * @brief Number of equations this model owns beyond ChamberSphere's fixed + * 6 core equations. Every ActiveStress supplies at least the equation + * defining \f$\tau\f$. + * + * @return Number of extra equations + */ + virtual int num_extra_equations() const = 0; + + /** + * @brief Constant (time- and solution-independent) contributions + * + * @param system System to update contributions at + * @param global_eqn_ids ChamberSphere's global equation indices + * @param global_var_ids ChamberSphere's global variable indices + */ + virtual void update_constant(SparseSystem& system, + const std::vector& global_eqn_ids, + const std::vector& global_var_ids) { + (void)system; + (void)global_eqn_ids; + (void)global_var_ids; + } + + /** + * @brief Time-dependent contributions + * + * @param system System to update contributions at + * @param global_eqn_ids ChamberSphere's global equation indices + * @param global_var_ids ChamberSphere's global variable indices + * @param activation_signal The chamber's ActivationFunction evaluated at + * the current time + */ + virtual void update_time(SparseSystem& system, + const std::vector& global_eqn_ids, + const std::vector& global_var_ids, + double activation_signal) { + (void)system; + (void)global_eqn_ids; + (void)global_var_ids; + (void)activation_signal; + } + + /** + * @brief Solution-dependent contributions + * + * @param system System to update contributions at + * @param global_eqn_ids ChamberSphere's global equation indices + * @param global_var_ids ChamberSphere's global variable indices + * @param y Current solution + * @param dy Current derivative of the solution + * @param radius0 Reference radius \f$r_0\f$ of the chamber + * @param activation_signal The chamber's ActivationFunction evaluated at + * the current time + */ + virtual void update_solution( + SparseSystem& system, const std::vector& global_eqn_ids, + const std::vector& global_var_ids, + const Eigen::Matrix& y, + const Eigen::Matrix& dy, double radius0, + double activation_signal) = 0; + + /** + * @brief Set a scalar parameter value by name + * + * @param name Parameter name + * @param value Parameter value + */ + void set_param(const std::string& name, double value); + + /** + * @brief Factory: create an active stress model from a type string + * + * @param type_str One of: "strain_independent", "strain_dependent" + * @return Unique pointer to the created active stress model + */ + static std::unique_ptr create(const std::string& type_str); + + protected: + /** + * @brief Map of parameter names to their values + */ + std::map params_; +}; + +/** + * @brief Strain-independent active stress model + * + * Owns 1 extra equation (the \f$\tau\f$ ODE) and 0 extra variables: + * \f[ + * \dot{\tau} + |a| \tau - \sigma_\text{max} a_+ = 0, \quad a_+ = \max(a, 0), + * \quad a = f \alpha_\text{max} + (1 - f) \alpha_\text{min} + * \f] + * where \f$f \in [0, 1]\f$ is the activation function. + * + * Parameters: `alpha_max`, `alpha_min`, `sigma_max` + */ +class StrainIndependentActiveStress : public ActiveStress { + public: + StrainIndependentActiveStress() + : ActiveStress({{"alpha_max", InputParameter()}, + {"alpha_min", InputParameter()}, + {"sigma_max", InputParameter()}}) {} + + int num_extra_equations() const override { return 1; } + + void update_constant(SparseSystem& system, + const std::vector& global_eqn_ids, + const std::vector& global_var_ids) override; + + void update_time(SparseSystem& system, + const std::vector& global_eqn_ids, + const std::vector& global_var_ids, + double activation_signal) override; + + void update_solution(SparseSystem& system, + const std::vector& global_eqn_ids, + const std::vector& global_var_ids, + const Eigen::Matrix& y, + const Eigen::Matrix& dy, + double radius0, double activation_signal) override; + + private: + double act_ = 0.0; ///< Rate coefficient + double act_plus_ = 0.0; ///< Positive part of act_, act_plus_ = max(act_, 0) +}; + +/** + * @brief Strain-dependent active stress model (Caruel et al. 2013) + * + * Owns 5 extra equations and 4 extra variables (\f$e_c, \tau_c, k_c, + * \omega\f$, in that order): + * \f[ + * \tau = E_s \frac{e_{1D} - e_c}{(1 + 2 e_c)^2} + * \f] + * with \f$e_{1D}\f$ the strain in fiber direction (a function of the + * chamber's radius), and evolution equations + * \f[ + * \dot{\omega} = \frac{1}{\alpha_r}(m_0 - \omega) + * \f] + * \f[ + * \dot{e}_c = \frac{1}{\mu}\left(E_s \frac{(e_{1D} - e_c)(1 + 2 e_{1D})} + * {(1 + 2 e_c)^3} - \tau_c\right) + * \f] + * \f[ + * \dot{k}_c = -(|u|_+ + \omega |u|_- + \alpha |\dot{e}_c|) k_c + n_0 k_0 |u|_+ + * \f] + * \f[ + * \dot{\tau}_c = -(|u|_+ + \omega |u|_- + \alpha |\dot{e}_c|) \tau_c + n_0 \sigma_0 + * |u|_+ + k_c \dot{e}_c + * \f] + * where \f$n_0\f$ (activation strain-dependence) and \f$m_0\f$ (relaxation + * strain-dependence) are piecewise functions of \f$e_c\f$, and \f$u(t)\f$ is + * a reaction-rate signal supplied by the chamber's ActivationFunction (e.g. + * \ref PiecewiseRateActivation). + * + * Parameters: `E_s`, `mu`, `alpha_r`, `alpha`, `k_0`, `sigma_0` + */ +class StrainDependentActiveStress : public ActiveStress { + public: + StrainDependentActiveStress() + : ActiveStress({{"E_s", InputParameter()}, + {"mu", InputParameter()}, + {"alpha_r", InputParameter()}, + {"alpha", InputParameter()}, + {"k_0", InputParameter()}, + {"sigma_0", InputParameter()}}) {} + + int num_extra_vars() const override { return 4; } + std::list extra_var_names() const override { + return {"e_c", "tau_c", "k_c", "omega"}; + } + int num_extra_equations() const override { return 5; } + + void update_constant(SparseSystem& system, + const std::vector& global_eqn_ids, + const std::vector& global_var_ids) override; + + void update_solution(SparseSystem& system, + const std::vector& global_eqn_ids, + const std::vector& global_var_ids, + const Eigen::Matrix& y, + const Eigen::Matrix& dy, + double radius0, double activation_signal) override; + + private: + /** + * @name Extra variable/equation positions within the full ChamberSphere global_var_ids/global_eqn_ids arrays + * + * Reproduce the exact global_var_ids/global_eqn_ids indices that the + * ChamberSphere used. + */ + ///@{ + static constexpr int E_C_VAR = NUM_CORE_VARS + 0; // 9 + static constexpr int TAU_C_VAR = NUM_CORE_VARS + 1; // 10 + static constexpr int K_C_VAR = NUM_CORE_VARS + 2; // 11 + static constexpr int OMEGA_VAR = NUM_CORE_VARS + 3; // 12 + static constexpr int TAU_EQN = NUM_CORE_EQNS + 0; // 6 + static constexpr int OMEGA_EQN = NUM_CORE_EQNS + 1; // 7 + static constexpr int E_C_EQN = NUM_CORE_EQNS + 2; // 8 + static constexpr int K_C_EQN = NUM_CORE_EQNS + 3; // 9 + static constexpr int TAU_C_EQN = NUM_CORE_EQNS + 4; // 10 + ///@} + + /** + * @brief Update the strain- and activation-dependent coefficients used + * across this model's equations + * + * @param e_c Current sarcomere element strain + * @param u Reaction-rate signal at the current time + */ + void update_active_stress_values(double e_c, double u); + + double n_0_ = 0.0; // activation strain-dependence + double m_0_ = 0.0; // relaxation strain-dependence + double u_plus_ = 0.0; // positive part of the reaction-rate signal + double u_minus_ = 0.0; // negative part of the reaction-rate signal +}; + +#endif // SVZERODSOLVER_MODEL_ACTIVESTRESS_HPP_ diff --git a/src/model/Block.h b/src/model/Block.h index 6861efe92..e4eaf4f2d 100644 --- a/src/model/Block.h +++ b/src/model/Block.h @@ -14,6 +14,7 @@ #include #include "ActivationFunction.h" +#include "ActiveStress.h" #include "BlockType.h" #include "SphereMaterial.h" #include "DOFHandler.h" @@ -299,6 +300,19 @@ class Block { (void)af; // Included to avoid unused parameter warning } + /** + * @brief Set active stress model (for chamber blocks that use one). + * + * Default no-op. Overridden by ChamberSphere to take ownership of the + * active stress model. + * + * @param as Unique pointer to the active stress model (caller transfers + * ownership) + */ + virtual void set_active_stress(std::unique_ptr as) { + (void)as; // Included to avoid unused parameter warning + } + /** * @brief Set wall material (for ChamberSphere blocks). * diff --git a/src/model/CMakeLists.txt b/src/model/CMakeLists.txt index 579d6f22c..d280e0444 100644 --- a/src/model/CMakeLists.txt +++ b/src/model/CMakeLists.txt @@ -7,6 +7,7 @@ set(lib svzero_model_library) set(CXXSRCS ActivationFunction.cpp + ActiveStress.cpp SphereMaterial.cpp BloodVesselRC.cpp Block.cpp @@ -40,6 +41,7 @@ set(CXXSRCS set(HDRS ActivationFunction.h + ActiveStress.h SphereMaterial.h BloodVesselRC.h Block.h diff --git a/src/model/ChamberSphere.cpp b/src/model/ChamberSphere.cpp index 2ae428b26..b3d6de473 100644 --- a/src/model/ChamberSphere.cpp +++ b/src/model/ChamberSphere.cpp @@ -3,11 +3,38 @@ #include "ChamberSphere.h" +#include +#include + #include "Model.h" void ChamberSphere::setup_dofs(DOFHandler& dofhandler) { - Block::setup_dofs_(dofhandler, 7, - {"radius", "velo", "stress", "tau", "volume"}); + if(!activation_function_) { + throw std::runtime_error( + "ChamberSphere '" + get_name() + + "': activation_function not set. Provide an \"activation_function\" JSON block."); + } + if (!active_stress_) { + throw std::runtime_error( + "ChamberSphere '" + get_name() + + "': active_stress not set. Provide an \"active_stress\" JSON block."); + } + if (!material_) { + throw std::runtime_error( + "ChamberSphere '" + get_name() + + "': material not set. Provide a \"material\" JSON block."); + } + + std::list internal_var_names = {"radius", "velo", "stress", + "tau", "volume"}; + for (const auto& name : active_stress_->extra_var_names()) { + internal_var_names.push_back(name); + } + + const int num_equations = + ActiveStress::NUM_CORE_EQNS + active_stress_->num_extra_equations(); + + Block::setup_dofs_(dofhandler, num_equations, internal_var_names); } void ChamberSphere::update_constant(SparseSystem& system, @@ -25,28 +52,28 @@ void ChamberSphere::update_constant(SparseSystem& system, // volume change system.E.coeffRef(global_eqn_ids[2], global_var_ids[8]) = -1; - // active stress - system.E.coeffRef(global_eqn_ids[3], global_var_ids[7]) = 1; - // acceleration - system.E.coeffRef(global_eqn_ids[4], global_var_ids[4]) = 1; - system.F.coeffRef(global_eqn_ids[4], global_var_ids[5]) = -1; + system.E.coeffRef(global_eqn_ids[3], global_var_ids[4]) = 1; + system.F.coeffRef(global_eqn_ids[3], global_var_ids[5]) = -1; // conservation of mass - system.F.coeffRef(global_eqn_ids[5], global_var_ids[1]) = 1; - system.F.coeffRef(global_eqn_ids[5], global_var_ids[3]) = -1; - system.E.coeffRef(global_eqn_ids[5], global_var_ids[8]) = -1; + system.F.coeffRef(global_eqn_ids[4], global_var_ids[1]) = 1; + system.F.coeffRef(global_eqn_ids[4], global_var_ids[3]) = -1; + system.E.coeffRef(global_eqn_ids[4], global_var_ids[8]) = -1; // pressure equality - system.F.coeffRef(global_eqn_ids[6], global_var_ids[0]) = 1; - system.F.coeffRef(global_eqn_ids[6], global_var_ids[2]) = -1; + system.F.coeffRef(global_eqn_ids[5], global_var_ids[0]) = 1; + system.F.coeffRef(global_eqn_ids[5], global_var_ids[2]) = -1; + + // active stress + active_stress_->update_constant(system, global_eqn_ids, global_var_ids); } void ChamberSphere::update_time(SparseSystem& system, std::vector& parameters) { - // active stress - get_elastance_values(parameters); - system.F.coeffRef(global_eqn_ids[3], global_var_ids[7]) = act; + activation_signal_ = activation_function_->compute(model->time); + active_stress_->update_time(system, global_eqn_ids, global_var_ids, + activation_signal_); } void ChamberSphere::update_solution( @@ -54,7 +81,6 @@ void ChamberSphere::update_solution( const Eigen::Matrix& y, const Eigen::Matrix& dy) { const double thick0 = parameters[global_param_ids[ParamId::thick0]]; - const double sigma_max = parameters[global_param_ids[ParamId::sigma_max]]; const double radius0 = parameters[global_param_ids[ParamId::radius0]]; const double eta = parameters[global_param_ids[ParamId::eta]]; @@ -103,25 +129,19 @@ void ChamberSphere::update_solution( 4 * M_PI * pow(radius + radius0, 2); // active stress - system.C.coeffRef(global_eqn_ids[3]) = -act_plus * sigma_max; + active_stress_->update_solution(system, global_eqn_ids, global_var_ids, y, + dy, radius0, activation_signal_); } void ChamberSphere::set_material(std::unique_ptr m) { material_ = std::move(m); } -void ChamberSphere::get_elastance_values(std::vector& parameters) { - const double alpha_max = parameters[global_param_ids[ParamId::alpha_max]]; - const double alpha_min = parameters[global_param_ids[ParamId::alpha_min]]; - - const double f = activation_function_->compute(model->time); - const double act_t = alpha_max * f + alpha_min * (1 - f); - - act = std::abs(act_t); - act_plus = std::max(act_t, 0.0); -} - void ChamberSphere::set_activation_function( std::unique_ptr af) { activation_function_ = std::move(af); -} \ No newline at end of file +} + +void ChamberSphere::set_active_stress(std::unique_ptr as) { + active_stress_ = std::move(as); +} diff --git a/src/model/ChamberSphere.h b/src/model/ChamberSphere.h index 5e7345b3c..023947037 100644 --- a/src/model/ChamberSphere.h +++ b/src/model/ChamberSphere.h @@ -13,6 +13,7 @@ #include #include "ActivationFunction.h" +#include "ActiveStress.h" #include "Block.h" #include "SphereMaterial.h" #include "SparseSystem.h" @@ -59,12 +60,14 @@ * * 4. Active stress: * \f[ - * \dot{\tau} + a \tau - \sigma_\text{max} a_+ = 0, \quad a_+ = \max(a, 0), - \quad a = f\alpha_\text{max} + (1 - f)\alpha_\text{min} + * \tau = \tau(t, r, r_0, \dots) * \f] - * where \f$f \in [0, 1]\f$ is the activation function, evaluated by a - * separate \ref ActivationFunction object (e.g. two_hill, half_cosine, - * piecewise_cosine) selected in the JSON configuration. + * the specific form of which (and any accompanying internal state and + * equations) is supplied by a separate \ref ActiveStress object (e.g. + * `strain_independent`, `strain_dependent`) selected in the JSON + * configuration. The active stress model is driven by the chamber's + * \ref ActivationFunction (e.g. `two_hill`, `half_cosine`, `piecewise_cosine`, + * `piecewise_rate`), also selected in the JSON configuration. * * 5. Acceleration: * \f[ @@ -89,19 +92,21 @@ * * `thick0` - Wall thickness \f$d_0\f$ * * `radius0` - Reference radius \f$r_0\f$ * * `eta` - Viscosity parameter \f$\eta\f$ - * * `sigma_max` - Maximum active stress \f$\sigma_\text{max}\f$ - * * `alpha_max` - Maximum activation parameter \f$\alpha_\text{max}\f$ - * * `alpha_min` - Minimum activation parameter \f$\alpha_\text{min}\f$ * * An `activation_function` object is also required alongside * `zero_d_element_values` to select and parameterize the activation function * \f$f(t)\f$ (see \ref ActivationFunction, e.g. `two_hill`, `half_cosine`, - * `piecewise_cosine`, `wrapping_cosine`, `fourier`, `double_tanh`). - * - * Furthermore, a `material` object is required to select and parameterize - * the material model for the elastic stress term \f$S_\text{el}(r, r_0)\f$ + * `piecewise_cosine`, `wrapping_cosine`, `fourier`, `double_tanh`, + * `piecewise_rate`). + * + * Furthermore, a `material` object is required to select and parameterize + * the material model for the elastic stress term \f$S_\text{el}(r, r_0)\f$ * (see \ref SphereMaterial, e.g. `exponential`, `mooney_rivlin`). * + * Finally, an `active_stress` object is required to select and parameterize + * the active stress model (see \ref ActiveStress, e.g. `strain_independent`, + * `strain_dependent`). + * * ### Usage in json configuration file * * "chambers": [ @@ -112,13 +117,11 @@ * "rho" : 1e3, * "thick0" : 0.01, * "radius0" : 0.05, - * "eta" : 10.0, - * "sigma_max" : 185e3, - * "alpha_max": 30.0, - * "alpha_min": -30.0 + * "eta" : 10.0 * }, * "activation_function": {}, - * "material": {} + * "material": {}, + * "active_stress": {} * } * ] * @@ -136,6 +139,10 @@ * * `tau` - Active stress \f$\tau\f$ * * `volume` - Chamber volume \f$V\f$ * + * Active stress models may introduce additional internal variables (e.g. + * `e_c`, `tau_c`, `k_c`, `omega` for the `strain_dependent` model, see + * \ref ActiveStress). + * */ class ChamberSphere : public Block { public: @@ -148,9 +155,6 @@ class ChamberSphere : public Block { thick0 = 1, radius0 = 2, eta = 3, - sigma_max = 4, - alpha_max = 5, - alpha_min = 6, }; /** @@ -164,10 +168,7 @@ class ChamberSphere : public Block { {{"rho", InputParameter()}, {"thick0", InputParameter()}, {"radius0", InputParameter()}, - {"eta", InputParameter()}, - {"sigma_max", InputParameter()}, - {"alpha_max", InputParameter()}, - {"alpha_min", InputParameter()}}) {} + {"eta", InputParameter()}}) {} /** * @brief Set up the degrees of freedom (DOF) of the block @@ -215,22 +216,19 @@ class ChamberSphere : public Block { const Eigen::Matrix& y, const Eigen::Matrix& dy) override; - /** - * @brief Update the elastance functions which depend on time - * - * @param parameters Parameters of the model - */ - void get_elastance_values(std::vector& parameters); - void set_activation_function(std::unique_ptr af) override; + void set_active_stress(std::unique_ptr as) override; + void set_material(std::unique_ptr m) override; private: - double act = 0.0; // activation function - double act_plus = 0.0; // act_plus = max(act, 0) + double activation_signal_ = 0.0; // activation_function_->compute(time), + // cached for use in update_solution std::unique_ptr activation_function_; + std::unique_ptr active_stress_; + std::unique_ptr material_; /** diff --git a/src/solve/SimulationParameters.cpp b/src/solve/SimulationParameters.cpp index 42b602ee5..a0ef69a95 100644 --- a/src/solve/SimulationParameters.cpp +++ b/src/solve/SimulationParameters.cpp @@ -244,6 +244,53 @@ std::unique_ptr generate_material( return material; } +std::unique_ptr generate_active_stress( + const nlohmann::json& j, const std::string& chamber_name) { + if (j.is_null() || !j.is_object()) { + throw std::runtime_error( + "Missing 'active_stress' for chamber " + chamber_name + + ". Required with structure: {\"type\": \"strain_independent\", " + "\"alpha_max\": 30.0, \"alpha_min\": -30.0, \"sigma_max\": 185e3} " + "(or type strain_dependent with E_s, mu, alpha_r, alpha, k_0, " + "sigma_0)."); + } + if (!j.contains("type") || !j["type"].is_string()) { + throw std::runtime_error( + "Missing or invalid 'type' in active_stress for chamber " + + chamber_name + + ". Must be one of: strain_independent, strain_dependent"); + } + + std::string type_str = j["type"]; + auto active_stress = ActiveStress::create(type_str); + const auto& input_param_properties = active_stress->input_param_properties; + + for (auto& el : j.items()) { + if (el.key()[0] == '_') continue; + if (el.key() == "type") continue; + if (!has_parameter(input_param_properties, el.key())) { + throw std::runtime_error("Unknown parameter " + el.key() + + " defined in active_stress for chamber " + + chamber_name); + } + } + + int err; + for (const auto& param : input_param_properties) { + if (!param.second.is_number) continue; + double val; + err = get_param_scalar(j, param.first, param.second, val); + if (err) { + throw std::runtime_error( + "Scalar parameter " + param.first + + " is mandatory in active_stress for chamber " + chamber_name); + } + active_stress->set_param(param.first, val); + } + + return active_stress; +} + void validate_input(const nlohmann::json& config) { if (!config.contains("simulation_parameters")) { throw std::runtime_error("Define simulation_parameters"); @@ -669,11 +716,16 @@ void create_chambers( model, chamber_config["activation_function"], chamber_name); model.get_block(chamber_name)->set_activation_function(std::move(act_func)); - // Create and set material for chamber types that use one + // Create and set material and active stress model for chamber types + // that use one if (chamber_type == "ChamberSphere") { auto mat = generate_material(chamber_config["material"], chamber_name); model.get_block(chamber_name)->set_material(std::move(mat)); + + auto act_stress = generate_active_stress( + chamber_config["active_stress"], chamber_name); + model.get_block(chamber_name)->set_active_stress(std::move(act_stress)); } DEBUG_MSG("Created chamber " << chamber_name); diff --git a/src/solve/SimulationParameters.h b/src/solve/SimulationParameters.h index eef2160fa..9398af0e2 100644 --- a/src/solve/SimulationParameters.h +++ b/src/solve/SimulationParameters.h @@ -13,6 +13,7 @@ #include #include "ActivationFunction.h" +#include "ActiveStress.h" #include "Model.h" #include "SphereMaterial.h" #include "State.h" @@ -174,6 +175,21 @@ std::unique_ptr generate_activation_function( std::unique_ptr generate_material( const nlohmann::json& j, const std::string& chamber_name); +/** + * @brief Create an ActiveStress model from JSON (analogous to + * generate_material) + * + * Validates keys against the active stress type's params, reads scalar + * parameters, and returns a created ActiveStress. Caller associates it with + * a ChamberSphere block via set_active_stress(). + * + * @param j JSON object (e.g. chamber_config["active_stress"]) + * @param chamber_name Chamber name for error messages + * @return Unique pointer to the created active stress model + */ +std::unique_ptr generate_active_stress( + const nlohmann::json& j, const std::string& chamber_name); + /** * @brief Load initial conditions from a JSON configuration * diff --git a/tests/cases/chamber_sphere.json b/tests/cases/chamber_sphere.json index 910a189fb..dca03dff9 100644 --- a/tests/cases/chamber_sphere.json +++ b/tests/cases/chamber_sphere.json @@ -66,10 +66,7 @@ "rho": 1e3, "thick0": 0.01, "radius0": 0.05, - "eta": 10.0, - "sigma_max": 185e3, - "alpha_max": 30.0, - "alpha_min": -30.0 + "eta": 10.0 }, "activation_function": { "type": "double_tanh", @@ -81,6 +78,12 @@ "type": "mooney_rivlin", "W1": 10e3, "W2": 40 + }, + "active_stress": { + "type": "strain_independent", + "alpha_max": 30.0, + "alpha_min": -30.0, + "sigma_max": 185e3 } } ], diff --git a/tests/cases/chamber_sphere_closed_loop.json b/tests/cases/chamber_sphere_closed_loop.json index a479e72b2..755f13a7b 100644 --- a/tests/cases/chamber_sphere_closed_loop.json +++ b/tests/cases/chamber_sphere_closed_loop.json @@ -89,10 +89,7 @@ "rho": 1e3, "thick0": 0.022317634723395277, "radius0": 0.03457500522201688, - "eta": 250.0, - "sigma_max": 237593.9219611258, - "alpha_max": 19.0, - "alpha_min": -30.0 + "eta": 250.0 }, "activation_function": { "type": "double_tanh", @@ -106,6 +103,12 @@ "C1": 0.11, "C2": 2.1e3, "C3": 0.15 + }, + "active_stress": { + "type": "strain_independent", + "alpha_max": 19.0, + "alpha_min": -30.0, + "sigma_max": 237593.9219611258 } } ], diff --git a/tests/cases/chamber_sphere_straindependent_Caruel.json b/tests/cases/chamber_sphere_straindependent_Caruel.json new file mode 100644 index 000000000..3dfd11459 --- /dev/null +++ b/tests/cases/chamber_sphere_straindependent_Caruel.json @@ -0,0 +1,171 @@ +{ + "description": { + "description of test case": "runs a 0D model of a cardiac chamber with inlet and outlet valves, connected to a vessel tree as in Caruel et al. 2013, with strain-dependent active stress and an exponential material model" + }, + "boundary_conditions": [ + { + "bc_name": "IN", + "bc_type": "PRESSURE", + "bc_values": { + "P": [800, 800], + "t": [0.0, 0.8] + } + }, + { + "bc_name": "OUT", + "bc_type": "PRESSURE", + "bc_values": { + "P": [1000, 1000], + "t": [0, 0.8] + } + } + ], + "simulation_parameters": { + "number_of_cardiac_cycles": 25, + "use_cycle_to_cycle_error": true, + "cardiac_period": 0.8, + "number_of_time_pts_per_cardiac_cycle": 5000, + "steady_initial": false, + "output_variable_based": true, + "absolute_tolerance": 1e-9, + "output_all_cycles": false, + "max_iter_error_to_warning": true + }, + "vessels": [ + { + "boundary_conditions": { + "inlet": "IN" + }, + "vessel_id": 0, + "vessel_length": 2.0, + "vessel_name": "upstream_vessel", + "zero_d_element_type": "BloodVessel", + "zero_d_element_values": { + "R_poiseuille": 0.0, + "C": 1.0e-9 + } + }, + { + "vessel_id": 2, + "vessel_name": "proximal_compliance", + "zero_d_element_type": "BloodVessel", + "zero_d_element_values": { + "R_poiseuille": 0.0, + "C": 2.5e-9 + } + }, + { + "vessel_id": 3, + "vessel_name": "proximal_resistance", + "zero_d_element_type": "BloodVessel", + "zero_d_element_values": { + "R_poiseuille": 8.0e6, + "C": 0.0 + } + }, + { + "vessel_id": 4, + "vessel_name": "distal_compliance", + "zero_d_element_type": "BloodVessel", + "zero_d_element_values": { + "R_poiseuille": 0.0, + "C": 1.0e-8 + } + }, + { + "boundary_conditions": { + "outlet": "OUT" + }, + "vessel_id": 5, + "vessel_name": "distal_resistance", + "zero_d_element_type": "BloodVessel", + "zero_d_element_values": { + "R_poiseuille": 1.0e8, + "C": 0.0 + } + } + ], + "chambers": [ + { + "type": "ChamberSphere", + "name": "ventricle", + "values": { + "rho": 1e3, + "thick0": 0.0142, + "radius0": 0.0236, + "eta": 70.0 + }, + "activation_function": { + "type": "piecewise_rate" + }, + "material": { + "type": "exponential", + "C0": 1.9e3, + "C1": 0.11, + "C2": 1.9e3, + "C3": 0.11 + }, + "active_stress": { + "type": "strain_dependent", + "E_s": 3.0e7, + "mu": 70.0, + "alpha_r": 0.12, + "alpha": 1.5, + "k_0": 1e5, + "sigma_0": 1.24e5 + } + } + ], + "valves": [ + { + "type": "ValveTanh", + "name": "inlet_valve", + "params": { + "Rmax": 2e9, + "Rmin": 1.1e5, + "Steepness": 10.0, + "upstream_block": "upstream_vessel", + "downstream_block": "ventricle" + } + }, + { + "type": "ValveTanh", + "name": "outlet_valve", + "params": { + "Rmax": 2e9, + "Rmin": 7.7e4, + "Steepness": 10.0, + "upstream_block": "ventricle", + "downstream_block": "proximal_compliance" + } + } + ], + "junctions": [ + { + "junction_name": "J0", + "junction_type": "NORMAL_JUNCTION", + "inlet_vessels": [2], + "outlet_vessels": [3] + }, + { + "junction_name": "J1", + "junction_type": "NORMAL_JUNCTION", + "inlet_vessels": [3], + "outlet_vessels": [4] + }, + { + "junction_name": "J2", + "junction_type": "NORMAL_JUNCTION", + "inlet_vessels": [4], + "outlet_vessels": [5] + } + ], + "initial_condition": { + "pressure:upstream_vessel:inlet_valve": 2000.0, + "pressure:inlet_valve:ventricle": 800.0, + "pressure:ventricle:outlet_valve": 800.0, + "pressure:outlet_valve:downstream_proximal_vessel": 2500.0, + "pressure:downstream_proximal_vessel:J0": 2000.0, + "pressure:J0:downstream_distal_vessel": 1500.0 + } +} diff --git a/tests/cases/dirgraph-results/chamber_sphere_straindependent_Caruel_directed_graph.dot b/tests/cases/dirgraph-results/chamber_sphere_straindependent_Caruel_directed_graph.dot new file mode 100644 index 000000000..8781437ad --- /dev/null +++ b/tests/cases/dirgraph-results/chamber_sphere_straindependent_Caruel_directed_graph.dot @@ -0,0 +1,27 @@ +strict digraph { +J0; +V3; +J1; +V4; +J2; +V5; +inlet_valve; +ventricle; +outlet_valve; +V2; +BC0_inlet; +V0; +BC5_outlet; +J0 -> V3; +V3 -> J1; +J1 -> V4; +V4 -> J2; +J2 -> 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