Cardiac chamber with elastance and inductor. More...

#include <ChamberElastanceInductor.h>

Inheritance diagram for ChamberElastanceInductor:

Public Types
enum	ParamId { EMAX = 0 , EMIN = 1 , VRD = 2 , VRS = 3 , TACTIVE = 4 , TTWITCH = 5 , IMPEDANCE = 6 }
	Local IDs of the parameters. More...

Public Member Functions
	ChamberElastanceInductor (int id, Model *model)
	Construct a new ChamberElastanceInductor object.

void	setup_dofs (DOFHandler &dofhandler)
	Set up the degrees of freedom (DOF) of the block.

void	update_constant (SparseSystem &system, std::vector< double > &parameters)
	Update the constant contributions of the element in a sparse system.

void	update_time (SparseSystem &system, std::vector< double > &parameters)
	Update the time-dependent contributions of the element in a sparse system.

Public Member Functions inherited from Block
	Block (int id, Model *model, BlockType block_type, BlockClass block_class, std::vector< std::pair< std::string, InputParameter > > input_params)
	Construct a new Block object.

	~Block ()
	Destroy the Block object.

	Block (const Block &)=delete
	Copy the Block object.

std::string	get_name ()
	Get the name of the block.

void	update_vessel_type (VesselType type)
	Update vessel type of the block.

void	setup_params_ (const std::vector< int > &param_ids)
	Setup parameter IDs for the block.

void	setup_dofs_ (DOFHandler &dofhandler, int num_equations, const std::list< std::string > &internal_var_names)
	Set up the degrees of freedom (DOF) of the block.

virtual void	setup_model_dependent_params ()
	Setup parameters that depend on the model.

virtual void	setup_initial_state_dependent_params (State initial_state, std::vector< double > &parameters)
	Setup parameters that depend on the initial state.

virtual void	update_solution (SparseSystem &system, std::vector< double > &parameters, const Eigen::Matrix< double, Eigen::Dynamic, 1 > &y, const Eigen::Matrix< double, Eigen::Dynamic, 1 > &dy)
	Update the solution-dependent contributions of the element in a sparse system.

virtual void	post_solve (Eigen::Matrix< double, Eigen::Dynamic, 1 > &y)
	Modify the solution after solving it.

virtual void	update_gradient (Eigen::SparseMatrix< double > &jacobian, Eigen::Matrix< double, Eigen::Dynamic, 1 > &residual, Eigen::Matrix< double, Eigen::Dynamic, 1 > &alpha, std::vector< double > &y, std::vector< double > &dy)
	Set the gradient of the block contributions with respect to the parameters.

virtual TripletsContributions	get_num_triplets ()
	Get number of triplets of element.

Public Attributes
TripletsContributions	num_triplets {6, 2, 0}
	Number of triplets of element.

Public Attributes inherited from Block
const int	id
	Global ID of the block.

const Model *	model
	The model to which the block belongs.

const BlockType	block_type
	Type of this block.

const BlockClass	block_class
	Class of this block.

VesselType	vessel_type = VesselType::neither
	Vessel type of this block.

const std::vector< std::pair< std::string, InputParameter > >	input_params
	Map from name to input parameter.

std::vector< Node * >	inlet_nodes
	Inlet nodes.

std::vector< Node * >	outlet_nodes
	Outlet nodes.

bool	steady = false
	Toggle steady behavior.

bool	input_params_list = false
	Are input parameters given as a list?

std::vector< int >	global_param_ids
	Global IDs for the block parameters.

std::vector< int >	global_var_ids
	Global variable indices of the local element contributions.

std::vector< int >	global_eqn_ids
	Global equation indices of the local element contributions.

TripletsContributions	num_triplets
	Number of triplets of element.

Detailed Description

Cardiac chamber with elastance and inductor.

Models a cardiac chamber as a time-varying capacitor (elastance with specified resting volumes) and an inductor. See [3] (equations 1 and 2). The addition of the inductor is similar to the models in [8] and [5].

This chamber block can be connected to other blocks using junctions.

$\begin{circuitikz} \draw node[left] {$Q_{in}$} [-latex] (0,0) -- (0.8,0); \draw (1,0) node[anchor=south]{$P_{in}$} to (1,0) node[anchor=south]{} to [L, l=$L$, *-*] (3,0) node[anchor=south]{$P_{out}$} (1,0) to [vC, l=$E$, *-] (1,-1.5) node[ground]{}; \draw [-latex] (3.2,0) -- (4.0,0) node[right] {$Q_{out}$} ; \end{circuitikz}$

Governing equations

$P_{in}-E(t)(V_c-V_{rest})=0$

$P_{in}-P_{out}-L\dot{Q}_{out}=0$

$Q_{in}-Q_{out}-\dot{V}_c=0$

Local contributions

$\mathbf{y}^{e}=\left[\begin{array}{lllll}P_{in} & Q_{in} & P_{out} & Q_{out} & V_c\end{array}\right]^{T}$

$\mathbf{E}^{e}=\left[\begin{array}{ccccc} 0 & 0 & 0 & 0 & 0\\ 0 & 0 & 0 & -L & 0\\ 0 & 0 & 0 & 0 & -1 \end{array}\right]$

$\mathbf{F}^{e}=\left[\begin{array}{ccccc} 1 & 0 & 0 & 0 & E(t) \\ 1 & 0 & -1 & 0 & 0 \\ 0 & 1 & 0 & -1 & 0 \end{array}\right]$

$\mathbf{c}^{e}=\left[\begin{array}{c} E(t)V_{rest} \\ 0 \\ 0 \end{array}\right]$

In the above equations,

$V_{rest}(t)= \{1-A(t)\}(V_{rd}-V_{rs})+V_{rs}$

$A(t)=-\frac{1}{2}cos(2 \pi T_{contract}/T_{twitch})$

$E(t)=(E_{max}-E_{min})A(t) + E_{min}$

Parameters

Parameter sequence for constructing this block

0 Emax: Maximum elastance
1 Emin: Minimum elastance
2 Vrd: Rest diastolic volume
3 Vrs: Rest systolic volume
4 t_active: Activation time
5 t_twitch: Twitch time
6 Impedance: Impedance of the outflow

Usage in json configuration file

"chambers": [
    {
        "type": "ChamberElastanceInductor",
        "name": "ventricle",
        "values": {
            "Emax": 1.057,
            "Emin": 0.091,
            "Vrd": 26.1,
            "Vrs": 18.0,
            "t_active": 0.2,
            "t_twitch": 0.3,
            "Impedance": 0.000351787
        }
    }
],
"initial_condition": {
    "Vc:ventricle": 96.07
}

Internal variables

Names of internal variables in this block's output:

Vc: Chamber volume

Member Enumeration Documentation

◆ ParamId

enum ChamberElastanceInductor::ParamId

Local IDs of the parameters.

Constructor & Destructor Documentation

◆ ChamberElastanceInductor()

ChamberElastanceInductor::ChamberElastanceInductor	(	int	id,
		Model *	model )

inline

Construct a new ChamberElastanceInductor object.

Parameters

id	Global ID of the block
model	The model to which the block belongs

Member Function Documentation

◆ setup_dofs()

void ChamberElastanceInductor::setup_dofs ( DOFHandler & dofhandler )

virtual

Set up the degrees of freedom (DOF) of the block.

Set global_var_ids and global_eqn_ids of the element based on the number of equations and the number of internal variables of the element.

Parameters

dofhandler Degree-of-freedom handler to register variables and equations at

Reimplemented from Block.

◆ update_constant()

void ChamberElastanceInductor::update_constant	(	SparseSystem &	system,
		std::vector< double > &	parameters )

virtual

Update the constant contributions of the element in a sparse system.

Parameters

system	System to update contributions at
parameters	Parameters of the model

Reimplemented from Block.

◆ update_time()

void ChamberElastanceInductor::update_time	(	SparseSystem &	system,
		std::vector< double > &	parameters )

virtual

Update the time-dependent contributions of the element in a sparse system.

Parameters

system	System to update contributions at
parameters	Parameters of the model

Reimplemented from Block.

Member Data Documentation

◆ num_triplets

TripletsContributions ChamberElastanceInductor::num_triplets {6, 2, 0}

Number of triplets of element.

Number of triplets that the element contributes to the global system (relevant for sparse memory reservation)

The documentation for this class was generated from the following files:

model/ChamberElastanceInductor.h
model/ChamberElastanceInductor.cpp

Public Types

Public Member Functions

Public Attributes

Detailed Description

Governing equations

Local contributions

Parameters

Usage in json configuration file

Internal variables

Member Enumeration Documentation

◆ ParamId

Constructor & Destructor Documentation

◆ ChamberElastanceInductor()

Member Function Documentation

◆ setup_dofs()

◆ update_constant()

◆ update_time()

Member Data Documentation

◆ num_triplets