Rodin::Heart module

Cardiac models and their coupled state evolution.

const auto report = model.step(dt);

CCMLC2014T advances a reduced ventricular model through a cardiac cycle. HolzapfelReducedLaw and CCMLC2014PassiveLaw supply its reduced passive energy and stress response. The module supports cardiac-cycle studies and constitutive parameter calibration before larger three-dimensional simulations.

0D models integrate ordinary differential equations over a heartbeat and are orders of magnitude cheaper than 3D simulations; parameters should round-trip between the 0D cycle and the corresponding 3D laws before debugging full simulations.

Representative use

The reduced ventricular model advances a configured state with a nonlinear time step:

using Model = Heart::CCMLC2014T<>;
Model::Input input;
Model model(input);
const auto report = model.step(dt);

Material, loading and initialization parameters in input must be chosen for the intended experiment before advancing the model.

Classes

template<class Scalar> class HolzapfelReducedLaw: Passive-energy evaluator based on reduced invariants.
template<class Scalar> struct ReducedInvariants: Reduced invariants used by the passive-energy law.
template<class Scalar> struct ReducedInvariantGradient: First derivatives of passive-energy density with respect to reduced invariants.
template<class Scalar> struct ReducedInvariantHessian: Second derivatives of passive-energy density with respect to reduced invariants.
template<class Scalar> struct PassiveEnergyDerivatives: Bundle of gradient and Hessian for passive-energy derivatives.
template<class Scalar> struct CCMLC2014PassiveLaw: Default passive stress law for the CCMLC2014 reduced model.

Typedefs

template<class PassiveEnergyLaw = HolzapfelReducedLaw<Real>, class PassiveLaw = CCMLC2014PassiveLaw<Real>> using CCMLC2014T = CCMLC2014::Solver::StepperT<PassiveEnergyLaw, PassiveLaw>: Default CCMLC2014 0D ventricular model type.

Typedef documentation

template<class PassiveEnergyLaw = HolzapfelReducedLaw<Real>, class PassiveLaw = CCMLC2014PassiveLaw<Real>>
using CCMLC2014T = CCMLC2014::Solver::StepperT<PassiveEnergyLaw, PassiveLaw>

Defined in Rodin/Heart/ForwardDecls.h

Default CCMLC2014 0D ventricular model type.

Template parameters
PassiveEnergyLaw	Reduced passive energy law.
PassiveLaw	Passive stress operator from the reduced invariants.