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Contributed Examples
Models
Contributed Examples
Integrate and Fire
Integrate and Fire
Morpheus Model ID:
M2004
Simple model for neuronal firing Introduction This is one of the simplest models used to depict neuronal firing. Description A simple model for neuronal firing consists of the basic ‘integrate-and-fire’ system ODE:
L. Edelstein-Keshet
(Author)
Y. Xiao
(Contributor)
L. Edelstein-Keshet: Mathematical Models in Cell Biology
Models
Contributed Examples
CPM
One CPM Cell
Morpheus Model ID:
M2002
Time sequence showing the changing shape of a CPM cell Introduction Not all cell shapes are circular. In this example, a single cell undergoes a whole series of deformations resulting in the development of irregular cell shapes.
L. Edelstein-Keshet
(Author)
Y. Xiao
(Contributor)
L. Edelstein-Keshet: Mathematical Models in Cell Biology
Models
Contributed Examples
CPM
One Random Walker
Morpheus Model ID:
M2003
Unbiased and biased random walkers Introduction We can simulate the swimming motion of a cell, such as a bacterium, by interspersing short periods of directed motion with random turns or random scrambling of the cell’s velocity.
L. Edelstein-Keshet
(Author)
Y. Xiao
(Contributor)
L. Edelstein-Keshet: Mathematical Models in Cell Biology
Models
Contributed Examples
CPM
CPM Parameter Plane
Morpheus Model ID:
M2001
Two-parameter plane showing all possible regimes of behavior for a single CPM cell Introduction The idea is based on figure 3 in the referenced paper. Description But here, we use two dimensionless parameters:
L. Edelstein-Keshet
,
J. Starruss
(Authors)
D. Jahn
,
Y. Xiao
(Contributors)
L. Edelstein-Keshet: Mathematical Models in Cell Biology
Models
Contributed Examples
PDE
Schnakenberg System
Morpheus Model ID:
M2009
Creating patterns using the Schnakenberg reaction-diffusion system Introduction We use the Schnakenberg system to generate patterns using a pair of reaction-diffusion (RD) equations, build up from 1D to 2D and explore parameter dependence.
L. Edelstein-Keshet
(Author)
Y. Xiao
(Contributor)
L. Edelstein-Keshet: Mathematical Models in Cell Biology
Models
Contributed Examples
CPM
Two CPM Cells Adhesion
Morpheus Model ID:
M2006
Example demonstrating how adhesion energies affect cell shape and the cell-cell contact region Introduction We simulate two CPM cells of the same type to demonstrate how adhesion energies affect cell shape and the cell-cell contact region.
L. Edelstein-Keshet
(Author)
Y. Xiao
(Contributor)
L. Edelstein-Keshet: Mathematical Models in Cell Biology
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