Function used in the population interacting with the ligand setting. More...

#include <Funz_C_Inter.h>

Inheritance diagram for Funz_C_Inter:

Public Member Functions
	Funz_C_Inter ()

void	set_parameter ()

double	new_F_C (double t, std::array< double, 2 > x)

void	print_fc (std::ofstream &file_save, double t)

void	print_info (std::ofstream &file_save)

Public Member Functions inherited from Funz_C_Par
	Funz_C_Par ()

	Funz_C_Par (const Funz_C_Par &f)

double	new_F_C (double t, std::array< double, 2 > x)

void	set_parameter ()

void	print_info (std::ofstream &file_save)

void	info_stat (std::ofstream &file_stat)

void	read_info_stat (int fchange_par, std::ifstream &file_stat, std::streampos &posizion)

Public Member Functions inherited from Funz_C
	Funz_C ()

	Funz_C (const Funz_C &f)

void	reset_parameter ()

virtual void	get_coordinate (std::array< double, 2 > x, int *n)

virtual void	get_coordinate1 (std::array< double, 2 > x, int *n)

virtual void	all_informations (std::ofstream &file_save)

virtual void	preview_F_C ()

void	gnuplotFunC (double max_fc, double dt, int n_frames)

Additional Inherited Members
Public Attributes inherited from Funz_C_Par
double	C_0

double	C_1

double	C_2

double	C_3

Public Attributes inherited from Funz_C
int	change_par

double	D_c

double	max_x

double	min_x

double	max_y

double	min_y

double	degradation_rate

int	n_x

int	n_y

double	dx

double	dy

int	interact

double **	f_c

double **	q_c

Static Public Attributes inherited from Funz_C
static int	num_funz = 9

Detailed Description

Function used in the population interacting with the ligand setting.

In case the program mode selected is population interacting with the ligand the Ligand concentration follows the following equation:

$\frac{\partial}{\partial t}c(t,x,y)=D_c\Delta_{(x,y)}c(t,x,y)-K_c c(t,x,y)+K_p\sum_{i=1}^{n_c}\delta_{(t,x,y)}(p^i_b(t,x,y))$

where $p^i_b$ is the position of the bacterium number $i$ .

The simulation is performed using an ADI method where the boundary conditions are of Neumann's type. The method is as follows: Let $U=(q_{i,j})_{i=1...n_x,j=1...n_y}$ be the matrix of the mesh for the rectangular domain and $Q$ the matrix of the source. Let $L_x^{n_x}$ be the Laplacian-matrix is the $x$ direction, it is a $n_x\times n_x$ matrix (similar for $y$ ), then using the Thompson's Algorithm for the resulting tridiagonal system we solve the PDE in two steps:

$L^{n_x}_x\otimes U = (U\otimes L^{n_y}_y)^T +\frac{dt\cdot Q}{2}$

$L^{n_y}_y\otimes U^T = (U^T\otimes L^{n_x}_x)^T+\frac{dt\cdot Q^T}{2}$

where with $\otimes$ we indicate the matrix product, and with $Q^T$ the transpose of $Q$ .

Constructor & Destructor Documentation

Funz_C_Inter::Funz_C_Inter ( )

Member Function Documentation

double Funz_C_Inter::new_F_C	(	double	t,
		std::array< double, 2 >	x
	)

virtual

it returns the value of the discretized version of c(t,x) on a grid

Reimplemented from Funz_C.

void Funz_C_Inter::print_fc	(	std::ofstream &	file_save,
		double	t
	)

virtual

save the mesh and relative value of Ligand in a file to draw with gnuplot

Reimplemented from Funz_C.

void Funz_C_Inter::print_info ( std::ofstream & file_save )

virtual

similar to all_information

Reimplemented from Funz_C.

void Funz_C_Inter::set_parameter ( )

virtual

set parameters of the ligand concentration in the Funz_C, you can choose the type of function and the dimantion of the rectangular area of the experiment

in the function set_funz_c(vector<Funz_C*> &f, int interacting) you actually change the parameters of the function.

Reimplemented from Funz_C.

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

include/Ligand/Funz_C_Inter.h
src/LateX/print_and_open_info.cpp
src/Ligand/Funz_C_Inter.cpp

Public Member Functions

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation