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Built-In Examples
Models
Built-in Examples
PDE
Domains: Reaction-Diffusion in Irregular Domains
Morpheus Model ID:
M0013
Introduction A 2D activator-inhibitor model (Gierer and Meinhardt, 1972), solved in a irregular domain that is loaded from an image file. Spot pattern in Gierer-Meinhardt model with irregular domain.
A. Gierer
,
H. Meinhardt
(Authors)
Models
Built-in Examples
PDE
Spatial Parameter Sweep: Turing Patterns
Morpheus Model ID:
M0014
Introduction This model shows the pattern formation abilities of Turing’s linear activator-inhibitor model (Miyazawa et al., 2010). It shows how to vary parameters as a function of space. Spots and stripes appear under various conditions in linear Turing model.
S. Miyazawa
,
M. Okamoto
,
S. Kondo
(Authors)
Models
Built-in Examples
PDE
3D Reaction-Diffusion: Excitable Media
Morpheus Model ID:
M0015
Introduction This example uses the Barkley model of excitable media, similar to the Fitzhugh-Nagumo model to show how to model and visualize reaction-diffusion models in 3D. Scroll wave appears in Barkley model of excitable media in 3D.
Models
Built-in Examples
Cellular Potts Models
Differential Adhesion: Cell Sorting in Two Dimensions
Morpheus Model ID:
M0021
Introduction This model shows the original cellular Potts model (a.k.a. Glazier-Graner model) of cell sorting based on the Steinberg’s differential adhesion hypothesis. Yellow cells engulf the red cells as a result of differential adhesion.
F. Graner
,
J. A. Glazier
(Authors)
Models
Built-in Examples
Cellular Potts Models
Proliferation in Two Dimensions
Morpheus Model ID:
M0022
Introduction This model shows a simulation of a growing cell population, using the cellular Potts model. Growing cell population. Description The model specifies CellType which has a VolumeConstraint and a Proliferation plugin.
Models
Built-in Examples
Cellular Potts Models
Persistence
Morpheus Model ID:
M0023
Introduction This example shows self-organized collective motion of cells as a result of persistence (‘cellular inertia’). A similar model has recently been used by Czirók et al. (2013). Persistence of individual cells causes self-organized collective motion.
A. Czirók
,
K. Varga
,
E. Méhes
,
A. Szabó
(Authors)
Models
Built-in Examples
Cellular Potts Models
Proliferation in Three Dimensions
Morpheus Model ID:
M0024
Introduction This model shows a CPM simulation of a growing cell population in 3D. Cell population grown from single initial cell. Description The model specifies CellType which has a VolumeConstraint and a Proliferation plugin.
Models
Built-in Examples
Cellular Potts Models
Run and Tumble
Morpheus Model ID:
M0025
Introduction This example models a single cell that moves according to a Lévy walk: a random walk with occassional occurrence of long straight walks. Modeling cell movements as a Lévy walk.
Models
Built-in Examples
Cellular Potts Models
Stem Cells in the Intestinal Crypt
Morpheus Model ID:
M0026
Introduction This illustrative example shows the emergence of clonal populations from stem cells in an intestinal crypt. Stem cells in the bottom of the crypt divide asymmetrically and produce a population of transit amplifying (TA) cells.
Models
Built-in Examples
Multiscale Models
Coupling Spatial Models: Autocrine Chemotaxis
Morpheus Model ID:
M0031
Introduction This example models a cellular Potts model for autocrine chemotaxis by coupling a CPM to a diffusive chemoattractant. Cell cluster due to chemotaxis towards self-produced chemoattractant. Description It exemplifies the combination of a CPM with a PDE through the chemotaxis towards a diffusive chemoattractant produced by cells.
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