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BoundaryCondition
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
Published Models
Zebrafish
Guidance by Followers
Morpheus Model ID:
M0006
The migration of zebrafish polster cells is oriented by the migration of follower cells, allowing robust long-range coordination of different cell populations. Introduction Collective cell migration is an important process during biological development and tissue repair.
A. Boutillon
,
S. Escot
,
A. Elouin
,
D. Jahn
,
S. González-Tirado
,
J. Starruß
,
L. Brusch
,
N. B. David
(Authors)
D. Jahn
(Contributor)
DOI:10.1016/j.devcel.2022.05.001
Models
Published Models
Plant
Self-Organization of Leaf Polarity
Morpheus Model ID:
M4283
A diffusible small-RNA-based Turing system dynamically coordinates organ polarity. Introduction The formation of a flat and thin leaf presents a developmentally challenging problem, requiring intricate regulation of top-bottom (adaxial-abaxial) polarity.
E. Scacchi
,
G. Paszkiewicz
,
K. T. Nguyen
,
S. Meda
,
A. Burian
,
W. de Back
,
M. C. P. Timmermans
(Authors)
E. Scacchi
(Contributor)
DOI:10.1038/s41477-024-01634-x
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
Selected Publications
A diffusible small-RNA-based Turing system dynamically coordinates organ polarity
The formation of a flat and thin leaf presents a developmentally challenging problem, requiring intricate regulation of adaxial–abaxial …
E. Scacchi
,
G. Paszkiewicz
,
K. T. Nguyen
,
S. Meda
,
A. Burian
,
W. de Back
,
M. C. P. Timmermans
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