diff --git a/.github/workflows/codechecks.yml b/.github/workflows/codechecks.yml index 954d0f570..d797f9da0 100644 --- a/.github/workflows/codechecks.yml +++ b/.github/workflows/codechecks.yml @@ -3,13 +3,12 @@ name: Codechecks on: [push, pull_request] jobs: clang-format: - runs-on: ubuntu-latest + runs-on: macos-latest steps: - uses: actions/checkout@v3 - name: Install dependencies run: | - wget -O - https://apt.llvm.org/llvm-snapshot.gpg.key | sudo apt-key add - - sudo apt-get install clang-format-19 + brew install clang-format - name: Run clang-format run: | mkdir Release diff --git a/docs/pages/add_block.md b/docs/pages/add_block.md index 17828a5f9..fdb6ab5c0 100644 --- a/docs/pages/add_block.md +++ b/docs/pages/add_block.md @@ -2,7 +2,7 @@ [TOC] -Below are details on the steps required to implement a new block in svZeroDSolver. +Below are details on the steps required to implement a new block in svZeroDSolver. To help with defining the block matrices, you can use the [Jacobian Generator](@ref jacobian). *Note: The best way to implement a new block is to look at examples of existing block classes. See the `ValveTanh` class for an example.* @@ -68,6 +68,8 @@ Below are details on the steps required to implement a new block in svZeroDSolve ## 3. Set up the governing equations for the block. +Use the [Jacobian Generator](@ref jacobian) to calculate matrix contributions symbolically. + ### State vector * The local state vector for each block is always arranged as `y = [P_in, Q_in, P_out, Q_out, InternalVariable_1, ..., InternalVariable_N]`. @@ -111,7 +113,7 @@ Below are details on the steps required to implement a new block in svZeroDSolve ## 4. Implement the matrix equations for the block. -* Implement the `update_constant`, `update_time` and `update_solution` functions. +* Implement the `update_constant`, `update_time` and `update_solution` functions (which can be output by the [Jacobian Generator](@ref jacobian)). * All matrix elements that are constant must be specified in `update_constant`. * Matrix elements that depend only on time (not the state variables) must be specified in `update_time`. * Matrix elements that change with the solution (i.e. depend on the state variables themselves) must be specified in `update_solution`. diff --git a/docs/pages/jacobian.md b/docs/pages/jacobian.md new file mode 100644 index 000000000..773b5f2bf --- /dev/null +++ b/docs/pages/jacobian.md @@ -0,0 +1,84 @@ +@page jacobian Jacobian Generator for svZeroDSolver + +This tool generates C++ code for block implementations in the svZeroDSolver framework using symbolic mathematics. + +## Overview + +The script `script/jacobian.py` reads block definitions from YAML files and generates C++ code for implementing the mathematical models in the solver. It uses symbolic differentiation (via SymPy) to automatically derive the necessary Jacobian matrices and system contributions. + +## Usage + +```bash +python jacobian.py +``` + +## YAML File Format + +The YAML files define the mathematical model of a block with the following structure: + +### Required Sections + +- `variables`: List of variable names in the model +- `derivatives`: List of derivative names (must match variables with `_dt` suffix) +- `constants`: List of parameter names +- `residuals`: List of residual equations that define the system + +### Optional Sections + +- `time_dependent`: List of parameters that depend on time (e.g., activation functions) +- `helper_functions`: Python code defining helper functions used in the residuals + +### Example + +```yaml +variables: + - Pin + - Qin + - Pout + - Qout + +derivatives: + - dPin_dt + - dQin_dt + - dPout_dt + - dQout_dt + +constants: + - R + - C + - L + - S + +residuals: + - Pin - Pout - (R + S * abs(Qin)) * Qin - L * dQout_dt + - Qin - Qout - C * dPin_dt + C * (R + 2 * S * abs(Qin)) * dQin_dt +``` + +## Output + +The script generates three C++ function implementations: + +1. `update_constant` - Sets up constant matrix coefficients for the system +2. `update_time` - Updates time-dependent parameters +3. `update_solution` - Computes solution-dependent terms and Jacobians + +## Workflow + +1. Create a YAML file defining your block's mathematical model +2. Run `jacobian.py` on this file to generate C++ code +3. Copy the generated code to your block implementation file +4. Complete the implementation with necessary boilerplate code + +## Tips + +- Ensure the number of variables equals the number of derivatives +- The number of residuals should be equal to the number of variables minus 2 +- Use helper functions for complex expressions to improve readability +- Define time-dependent constants separately + +## Examples + +See the provided YAML examples: +- `ChamberSphere.yaml` - Spherical heart chamber model +- `BloodVessel.yaml` - Blood vessel model with optional stenosis +- `ClosedLoopCoronaryBC.yaml` - Coronary boundary condition model \ No newline at end of file diff --git a/docs/references.bib b/docs/references.bib index c859005ea..10ab502b6 100644 --- a/docs/references.bib +++ b/docs/references.bib @@ -111,3 +111,17 @@ @article{kerckhoffs2007coupling year={2007}, publisher={Springer} } + +@article{caruel13, + author = {M. Caruel and R. Chabiniok and P. Moireau and Y. Lecarpentier and D. Chapelle}, + doi = {10.1007/s10237-013-0544-6}, + journal = {Biomechanics and Modeling in Mechanobiology}, + month = {dec}, + number = {4}, + pages = {897--914}, + publisher = {Springer Science and Business Media {LLC}}, + timestamp = {2022-02-28}, + title = {Dimensional reductions of a cardiac model for effective validation and calibration}, + volume = {13}, + year = {2013} +} diff --git a/scripts/BloodVessel.yaml b/scripts/BloodVessel.yaml new file mode 100644 index 000000000..ec75989f1 --- /dev/null +++ b/scripts/BloodVessel.yaml @@ -0,0 +1,21 @@ +variables: + - Pin + - Qin + - Pout + - Qout + +derivatives: + - dPin_dt + - dQin_dt + - dPout_dt + - dQout_dt + +constants: + - R + - C + - L + - S + +residuals: + - Pin - Pout - (R + S * abs(Qin)) * Qin - L * dQout_dt + - Qin - Qout - C * dPin_dt + C * (R + 2 * S * abs(Qin)) * dQin_dt \ No newline at end of file diff --git a/scripts/ChamberSphere.yaml b/scripts/ChamberSphere.yaml new file mode 100644 index 000000000..4179a55dc --- /dev/null +++ b/scripts/ChamberSphere.yaml @@ -0,0 +1,52 @@ +variables: + - Pin + - Qin + - Pout + - Qout + - radius + - velo + - stress + - tau + - volume + +derivatives: + - dPin_dt + - dQin_dt + - dPout_dt + - dQout_dt + - dradius_dt + - dvelo_dt + - dstress_dt + - dtau_dt + - dvolume_dt + +constants: + - rho + - thick0 + - radius0 + - W1 + - W2 + - eta + - act + - act_plus + - sigma_max + +time_dependent: + - act + - act_plus + +helper_functions: | + def CG(radius): + return (1 + (radius / radius0)) ** 2 + + def dCG(radius, dradius_dt): + return 2 * (1 + (radius / radius0)) * (1 / radius0) * dradius_dt + +residuals: + - rho * thick0 * dvelo_dt + (thick0 / radius0) * (1 + (radius / radius0)) * stress - Pout * CG(radius) + - -stress + tau + 4 * (1 - CG(radius) ** -3) * (W1 + CG(radius) * W2) + 2 * eta * dCG(radius, dradius_dt) * (1 - 2 * CG(radius) ** -6) + - 4 * pi * radius0 ** 2 * CG(radius) * velo - dvolume_dt + - dtau_dt + act * tau - sigma_max * act_plus + - dradius_dt - velo + - Qin - Qout - dvolume_dt + - Pin - Pout \ No newline at end of file diff --git a/scripts/ClosedLoopCoronaryBC.yaml b/scripts/ClosedLoopCoronaryBC.yaml new file mode 100644 index 000000000..87703b3be --- /dev/null +++ b/scripts/ClosedLoopCoronaryBC.yaml @@ -0,0 +1,32 @@ +variables: + - Pin + - Qin + - Pout + - Qout + - Vim + - Pa + +derivatives: + - dPin_dt + - dQin_dt + - dPout_dt + - dQout_dt + - dVim_dt + - dPa_dt + +constants: + - Ra + - Ram + - Rv + - Ca + - Cim + - Pim + +time_dependent: + - Pim + +residuals: + - Pout - Pin + (Ram + Ra) * Qin + Rv * Qout + Ram * Ca * dPa_dt - Ram * Ca * dPin_dt + Ram * Ra * Ca * dQin_dt + - Qin - Qout + Ca * dPa_dt - Ca * dPin_dt + Ca * Ra * dQin_dt - dVim_dt + - Cim * Pout + Cim * Rv * Qout - Cim * Pim - Vim + - Pa - Pin - Ra * Qin \ No newline at end of file diff --git a/scripts/README.md b/scripts/README.md new file mode 100644 index 000000000..1e74484dd --- /dev/null +++ b/scripts/README.md @@ -0,0 +1,3 @@ +# svZeroDSolver scripts + +The [Jacobian Generator](../docs/pages/jacobian.md) tool generates C++ code for new block implementations using symbolic math. \ No newline at end of file diff --git a/scripts/jacobian.py b/scripts/jacobian.py new file mode 100755 index 000000000..19bef04ee --- /dev/null +++ b/scripts/jacobian.py @@ -0,0 +1,142 @@ +from sympy import symbols, Matrix, simplify, pi, Abs +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 + + 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', [])} + + 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 + +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): + 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" + 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): + for out in get_expressions(parts, constants): + if out in time_dependent: + print(f" // compute time 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 = 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) + + # print C++ code + for section in ['constant', 'time', 'solution']: + print(f'update_{section}') + print_constants(parts[section], constants, time_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/scripts/requirements.txt b/scripts/requirements.txt new file mode 100644 index 000000000..31a0ac42e --- /dev/null +++ b/scripts/requirements.txt @@ -0,0 +1 @@ +sympy>=1.12 diff --git a/src/model/Block.h b/src/model/Block.h index 190b3585c..e328bcea7 100644 --- a/src/model/Block.h +++ b/src/model/Block.h @@ -24,7 +24,7 @@ * to the global system. */ struct TripletsContributions { - TripletsContributions(){}; + TripletsContributions() {}; /** * @brief Set the number of triplets that the element contributes * to the global system. @@ -32,7 +32,7 @@ struct TripletsContributions { * @param E Contributions to E matrix * @param D Contributions to dC/dy matrix */ - TripletsContributions(int F, int E, int D) : F(F), E(E), D(D){}; + TripletsContributions(int F, int E, int D) : F(F), E(E), D(D) {}; /** * @brief Set the number of triplets that the element contributes * to the global system. diff --git a/src/model/BlockType.h b/src/model/BlockType.h index 1c72d41f1..ceb333e8b 100644 --- a/src/model/BlockType.h +++ b/src/model/BlockType.h @@ -27,7 +27,8 @@ enum class BlockType { closed_loop_rcr_bc = 11, closed_loop_heart_pulmonary = 12, valve_tanh = 13, - chamber_elastance_inductor = 14 + chamber_elastance_inductor = 14, + chamber_sphere = 15 }; /** diff --git a/src/model/CMakeLists.txt b/src/model/CMakeLists.txt index 500869a42..52fb63231 100644 --- a/src/model/CMakeLists.txt +++ b/src/model/CMakeLists.txt @@ -9,6 +9,7 @@ set(CXXSRCS Block.cpp BloodVessel.cpp BloodVesselJunction.cpp + ChamberSphere.cpp ChamberElastanceInductor.cpp ClosedLoopCoronaryBC.cpp ClosedLoopCoronaryLeftBC.cpp @@ -34,6 +35,7 @@ set(HDRS BlockType.h BloodVessel.h BloodVesselJunction.h + ChamberSphere.h ChamberElastanceInductor.h ClosedLoopCoronaryBC.h ClosedLoopCoronaryLeftBC.h diff --git a/src/model/ChamberSphere.cpp b/src/model/ChamberSphere.cpp new file mode 100644 index 000000000..d6c25cfbc --- /dev/null +++ b/src/model/ChamberSphere.cpp @@ -0,0 +1,133 @@ +// SPDX-FileCopyrightText: Copyright (c) Stanford University, The Regents of the +// University of California, and others. SPDX-License-Identifier: BSD-3-Clause + +#include "ChamberSphere.h" + +#include "Model.h" + +void ChamberSphere::setup_dofs(DOFHandler &dofhandler) { + Block::setup_dofs_(dofhandler, 7, + {"radius", "velo", "stress", "tau", "volume"}); +} + +void ChamberSphere::update_constant(SparseSystem &system, + std::vector ¶meters) { + const double thick0 = parameters[global_param_ids[ParamId::thick0]]; + const double rho = parameters[global_param_ids[ParamId::rho]]; + + // balance of linear momentum + system.E.coeffRef(global_eqn_ids[0], global_var_ids[5]) = rho * thick0; + + // spherical stress + system.F.coeffRef(global_eqn_ids[1], global_var_ids[6]) = -1; + system.F.coeffRef(global_eqn_ids[1], global_var_ids[7]) = 1; + + // 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; + + // 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; + + // 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; +} + +void ChamberSphere::update_time(SparseSystem &system, + std::vector ¶meters) { + // active stress + get_elastance_values(parameters); + system.F.coeffRef(global_eqn_ids[3], global_var_ids[7]) = act; +} + +void ChamberSphere::update_solution( + SparseSystem &system, std::vector ¶meters, + const Eigen::Matrix &y, + const Eigen::Matrix &dy) { + const double W1 = parameters[global_param_ids[ParamId::W1]]; + const double W2 = parameters[global_param_ids[ParamId::W2]]; + const double eta = parameters[global_param_ids[ParamId::eta]]; + 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 velo = y[global_var_ids[5]]; + const double dradius_dt = dy[global_var_ids[4]]; + const double Pout = y[global_var_ids[2]]; + const double radius = y[global_var_ids[4]]; + const double stress = y[global_var_ids[6]]; + + // balance of momentum + system.C.coeffRef(global_eqn_ids[0]) = + (radius + radius0) * (-Pout * (radius + radius0) + stress * thick0) / + pow(radius0, 2); + system.dC_dy.coeffRef(global_eqn_ids[0], global_var_ids[2]) = + -pow(radius + radius0, 2) / pow(radius0, 2); + system.dC_dy.coeffRef(global_eqn_ids[0], global_var_ids[4]) = + (-2 * Pout * (radius + radius0) + stress * thick0) / pow(radius0, 2); + system.dC_dy.coeffRef(global_eqn_ids[0], global_var_ids[6]) = + thick0 * (radius + radius0) / pow(radius0, 2); + + // spherical stress + system.C.coeffRef(global_eqn_ids[1]) = + 4 * + (dradius_dt * eta * (-2 * pow(radius0, 12) + pow(radius + radius0, 12)) + + pow(radius + radius0, 5) * + (-pow(radius0, 6) + pow(radius + radius0, 6)) * + (W1 * pow(radius0, 2) + W2 * pow(radius + radius0, 2))) / + (pow(radius0, 2) * pow(radius + radius0, 11)); + system.dC_dy.coeffRef(global_eqn_ids[1], global_var_ids[4]) = + 24 * W1 * pow(radius0, 6) / pow(radius + radius0, 7) + + 8 * W2 * radius / pow(radius0, 2) + + 16 * W2 * pow(radius0, 4) / pow(radius + radius0, 5) + 8 * W2 / radius0 + + 88 * dradius_dt * eta * pow(radius0, 10) / pow(radius + radius0, 12) + + 4 * dradius_dt * eta / pow(radius0, 2); + system.dC_dydot.coeffRef(global_eqn_ids[1], global_var_ids[4]) = + -4 * eta * (2 * pow(radius0, 12) - pow(radius + radius0, 12)) / + (pow(radius0, 2) * pow(radius + radius0, 11)); + + // volume change + system.C.coeffRef(global_eqn_ids[2]) = + 4 * M_PI * velo * pow(radius + radius0, 2); + system.dC_dy.coeffRef(global_eqn_ids[2], global_var_ids[4]) = + 8 * M_PI * velo * (radius + radius0); + system.dC_dy.coeffRef(global_eqn_ids[2], global_var_ids[5]) = + 4 * M_PI * pow(radius + radius0, 2); + + // active stress + system.C.coeffRef(global_eqn_ids[3]) = -act_plus * sigma_max; +} + +void ChamberSphere::get_elastance_values(std::vector ¶meters) { + const double alpha_max = parameters[global_param_ids[ParamId::alpha_max]]; + const double alpha_min = parameters[global_param_ids[ParamId::alpha_min]]; + const double tsys = parameters[global_param_ids[ParamId::tsys]]; + const double tdias = parameters[global_param_ids[ParamId::tdias]]; + const double steepness = parameters[global_param_ids[ParamId::steepness]]; + + const double t = model->time; + + const auto T_cardiac = model->cardiac_cycle_period; + const auto t_in_cycle = fmod(model->time, T_cardiac); + + const double S_plus = 0.5 * (1.0 + tanh((t_in_cycle - tsys) / steepness)); + const double S_minus = 0.5 * (1.0 - tanh((t_in_cycle - tdias) / steepness)); + + // indicator function + const double f = S_plus * S_minus; + + // activation rates + const double act_t = alpha_max * f + alpha_min * (1 - f); + + act = std::abs(act_t); + act_plus = std::max(act_t, 0.0); +} \ No newline at end of file diff --git a/src/model/ChamberSphere.h b/src/model/ChamberSphere.h new file mode 100644 index 000000000..7ef94f71d --- /dev/null +++ b/src/model/ChamberSphere.h @@ -0,0 +1,212 @@ +// SPDX-FileCopyrightText: Copyright (c) Stanford University, The Regents of the +// University of California, and others. SPDX-License-Identifier: BSD-3-Clause +/** + * @file ChamberSphere.h + * @brief model::ChamberSphere source file + */ +#ifndef SVZERODSOLVER_MODEL_ChamberSphere_HPP_ +#define SVZERODSOLVER_MODEL_ChamberSphere_HPP_ + +#include + +#include "Block.h" +#include "SparseSystem.h" + +/** + * @brief Spherical heart chamber model + * + * Models the mechanical behavior of a spherical heart chamber with active + * contraction. For reference, see \cite caruel13 Equations (13a-b) for + * continuum mechanics (without length-dependent contraction valves, vessels) + * and \cite pfaller2019importance Equations (12-16) for the simplified active + * contraction model. + * + * ### Helper Functions + * + * Cauchy-Green deformation tensor and time derivative: + * \f[ + * C = \left(1 + \frac{r}{r_0} \right)^2 + * \f] + * \f[ + * \dot{C} = 2 \left(1 + \frac{r}{r_0} \right) \frac{\dot{r}}{r_0} + * \f] + * + * ### Governing equations + * + * 1. Balance of linear momentum: + * \f[ + * \rho d_0 \dot{v} + \frac{d_0}{r_0} \left(1 + \frac{r}{r_0} \right) S - + P_\text{out} C = 0 + * \f] + * + * 2. Spherical stress: + * \f[ + * -S + \tau + 4 (1 - C^{-3}) (W_1 + C W_2) + 2 \eta \dot{C} + * (1 - 2 C^{-6}) = 0 + * \f] + * + * 3. Volume change: + * \f[ + * 4 \pi r_0^2 Cv - \dot{V} = 0 + * \f] + * + * 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} + * \f] + * with indicator function + * \f[ + * f = S_+ \cdot S_-, \quad S_\pm = \frac{1}{2} \left(1.0 \pm \text{tanh}\left( + \frac{t - t_\text{sys/dias}} {\gamma} \right) \right) + * \f] + * + * 5. Acceleration: + * \f[ + * \dot{r} - v = 0 + * \f] + * + * 6. Conservation of mass: + * \f[ + * Q_\text{in} - Q_\text{out} - \dot{V} = 0 + * \f] + * + * 7. Pressure equality: + * \f[ + * P_\text{in} - P_\text{out} = 0 + * \f] + * + * ### Parameters + * + * Parameter sequence for constructing this block: + * + * * `rho` - Density \f$\rho\f$ + * * `thick0` - Wall thickness \f$d_0\f$ + * * `radius0` - Reference radius \f$r_0\f$ + * * `W1` - Material constant \f$W_1\f$ + * * `W2` - Material constant \f$W_2\f$ + * * `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$\alpha_\text{min}\f$ + * * `tsys` - Systole timing parameter \f$t_\text{sys}\f$ + * * `tdias` - Diastole timing parameter \f$t_\text{dias}\f$ + * * `steepness` - Activation steepness parameter \f$\gamma\f$ + * + * ### Internal variables + * + * Names of internal variables in this block's output: + * + * * `radius` - Chamber radius \f$r\f$ + * * `velo` - Chamber velocity \f$\dot{r}\f$ + * * `stress` - Spherical stress \f$S\f$ + * * `tau` - Active stress \f$\tau\f$ + * * `volume` - Chamber volume \f$V\f$ + * + */ +class ChamberSphere : public Block { + public: + /** + * @brief Local IDs of the parameters + * + */ + enum ParamId { + rho = 0, + thick0 = 1, + radius0 = 2, + W1 = 3, + W2 = 4, + eta = 5, + sigma_max = 6, + alpha_max = 7, + alpha_min = 8, + tsys = 9, + tdias = 10, + steepness = 11 + }; + + /** + * @brief Construct a new ChamberSphere object + * + * @param id Global ID of the block + * @param model The model to which the block belongs + */ + ChamberSphere(int id, Model *model) + : Block(id, model, BlockType::chamber_sphere, BlockClass::vessel, + {{"rho", InputParameter()}, + {"thick0", InputParameter()}, + {"radius0", InputParameter()}, + {"W1", InputParameter()}, + {"W2", InputParameter()}, + {"eta", InputParameter()}, + {"sigma_max", InputParameter()}, + {"alpha_max", InputParameter()}, + {"alpha_min", InputParameter()}, + {"tsys", InputParameter()}, + {"tdias", InputParameter()}, + {"steepness", InputParameter()}}) {} + + /** + * @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 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 ¶meters); + + /** + * @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 ¶meters); + + /** + * @brief Update the solution-dependent contributions of the element in a + * sparse system + * + * @param system System to update contributions at + * @param parameters Parameters of the model + * @param y Current solution + * @param dy Current derivate of the solution + */ + void update_solution(SparseSystem &system, std::vector ¶meters, + const Eigen::Matrix &y, + const Eigen::Matrix &dy); + + /** + * @brief Update the elastance functions which depend on time + * + * @param parameters Parameters of the model + */ + void get_elastance_values(std::vector ¶meters); + + private: + double act = 0.0; // activation function + double act_plus = 0.0; // act_plus = max(act, 0) + + /** + * @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{0, 0, 18}; +}; + +#endif // SVZERODSOLVER_MODEL_ChamberSphere_HPP_ diff --git a/src/model/Model.cpp b/src/model/Model.cpp index 6298dbde3..ae84e7312 100644 --- a/src/model/Model.cpp +++ b/src/model/Model.cpp @@ -13,6 +13,7 @@ Model::Model() { // Add all implemented blocks to factory block_factory_map = { {"BloodVessel", block_factory()}, + {"ChamberSphere", block_factory()}, {"BloodVesselJunction", block_factory()}, {"ClosedLoopCoronaryLeft", block_factory()}, {"ClosedLoopCoronaryRight", block_factory()}, diff --git a/src/model/Model.h b/src/model/Model.h index 6a5766a6e..5ab0662c5 100644 --- a/src/model/Model.h +++ b/src/model/Model.h @@ -20,6 +20,7 @@ #include "BloodVessel.h" #include "BloodVesselJunction.h" #include "ChamberElastanceInductor.h" +#include "ChamberSphere.h" #include "ClosedLoopCoronaryLeftBC.h" #include "ClosedLoopCoronaryRightBC.h" #include "ClosedLoopHeartPulmonary.h" diff --git a/src/solve/csv_writer.cpp b/src/solve/csv_writer.cpp index e911926b2..deca81057 100644 --- a/src/solve/csv_writer.cpp +++ b/src/solve/csv_writer.cpp @@ -43,7 +43,8 @@ std::string to_vessel_csv(const std::vector ×, auto block = model.get_block(i); // Extract global solution indices of the block - if (dynamic_cast(block) == nullptr) { + if (dynamic_cast(block) == nullptr && + dynamic_cast(block) == nullptr) { continue; } diff --git a/tests/cases/chamber_sphere.json b/tests/cases/chamber_sphere.json new file mode 100644 index 000000000..0e27d8d71 --- /dev/null +++ b/tests/cases/chamber_sphere.json @@ -0,0 +1,105 @@ +{ + "description": { + "description of test case" : "runs a simple 0D model of a cardiac chamber with inlet and outlet valves" + }, + "boundary_conditions": [ + { + "bc_name": "IN", + "bc_type": "PRESSURE", + "bc_values": { + "P": [2150, 2150], + "t": [0, 1] + } + }, + { + "bc_name": "OUT", + "bc_type": "PRESSURE", + "bc_values": { + "P": [13332.2, 13332.2], + "t": [0, 1] + } + } + ], + "simulation_parameters": { + "number_of_cardiac_cycles": 1, + "number_of_time_pts_per_cardiac_cycle": 500, + "steady_initial": false, + "output_variable_based": true, + "absolute_tolerance": 1e-9, + "output_all_cycles": 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": 1.0e6, + "C": 1.0e-9 + } + }, + { + "boundary_conditions": {}, + "vessel_id": 1, + "vessel_length": 1.0, + "vessel_name": "ventricle", + "zero_d_element_type": "ChamberSphere", + "zero_d_element_values": { + "rho" : 1e3, + "thick0" : 0.01, + "radius0" : 0.05, + "W1" : 10e3, + "W2" : 40, + "eta" : 10.0, + "sigma_max" : 185e3, + "alpha_max": 30.0, + "alpha_min": -30.0, + "tsys": 0.170, + "tdias": 0.484, + "steepness": 0.005 + } + }, + { + "boundary_conditions": { + "outlet": "OUT" + }, + "vessel_id": 2, + "vessel_length": 1.0, + "vessel_name": "downstream_vessel", + "zero_d_element_type": "BloodVessel", + "zero_d_element_values": { + "R_poiseuille": 1.0e7, + "C": 1.0e-9 + } + } + ], + "valves": [ + { + "type": "ValveTanh", + "name": "inlet_valve", + "params": { + "Rmax": 7e8, + "Rmin": 0, + "Steepness": 5.75e-4, + "upstream_block": "upstream_vessel", + "downstream_block": "ventricle" + } + }, + { + "type": "ValveTanh", + "name": "outlet_valve", + "params": { + "Rmax": 6.6650e9, + "Rmin": 0, + "Steepness": 5.75e-4, + "upstream_block": "ventricle", + "downstream_block": "downstream_vessel" + } + } + ], + "junctions": [] +} diff --git a/tests/cases/dirgraph-results/chamber_sphere_directed_graph.dot b/tests/cases/dirgraph-results/chamber_sphere_directed_graph.dot new file mode 100644 index 000000000..2768ee937 --- /dev/null +++ b/tests/cases/dirgraph-results/chamber_sphere_directed_graph.dot @@ -0,0 +1,15 @@ +strict digraph { +inlet_valve; +V1; +outlet_valve; +V2; +BC0_inlet; +V0; +BC2_outlet; +inlet_valve -> V1; +V1 -> outlet_valve; +outlet_valve -> V2; +V2 -> BC2_outlet; +BC0_inlet -> V0; +V0 -> inlet_valve; +} diff --git a/tests/cases/results/result_chamber_sphere.json b/tests/cases/results/result_chamber_sphere.json new file mode 100644 index 000000000..b1b24c615 --- /dev/null +++ b/tests/cases/results/result_chamber_sphere.json @@ -0,0 +1 @@ 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\ No newline at end of file diff --git a/tests/test_solver.py b/tests/test_solver.py index 89dc1d748..8c73edb3a 100644 --- a/tests/test_solver.py +++ b/tests/test_solver.py @@ -30,7 +30,7 @@ 'pulsatileFlow_R_RCR_derivative_variable.json', 'steadyFlow_confluenceR_R.json', 'steadyFlow_R_RCR.json', - 'steadyFlow_stenosis_R.json', + 'steadyFlow_stenosis_R.json', 'pulsatileFlow_R_RCR_mean.json', 'pulsatileFlow_R_RCR_mean_derivative.json', 'pulsatileFlow_CStenosis_steadyPressure.json', @@ -41,7 +41,8 @@ 'steadyFlow_blood_vessel_junction.json', 'valve_tanh.json', 'pulsatileFlow_bifurcationR_RCR_cycle_error.json', - 'pulsatileFlow_R_RCR_mean_derivative_variable.json' + 'pulsatileFlow_R_RCR_mean_derivative_variable.json', + 'chamber_sphere.json' ]) def test_solver(testfile): '''