Cellular automaton modeling of biological pattern formation
نویسندگان
چکیده
منابع مشابه
Cellular automaton modeling of pattern formation in interacting cell systems
Cellular automata can be viewed as simple models of spatially extended decentralized systems made up of a number of individual components (e.g. biological cells). The communication between constituent cells is limited to local interaction. Each individual cell is in a specific state which changes over time depending on the states of its local neighbors. In particular, cellular automat on models...
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We discuss two different types of Cellular Automata (CA): lattice-gasbased cellular automata (LGCA) and the cellular Potts model (CPM), and describe their applications in biological modeling. LGCA were originally developed for modeling ideal gases and fluids. We describe several extensions of the classical LGCA model to self-driven biological cells. In particular, we review recent models for ri...
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In the past few decades, it has become increasingly popular and important to utilize mathematical models to understand how microscopic intercellular interactions lead to the macroscopic pattern formation ubiquitous in the biological world. Modeling methodologies come in a large variety and presently it is unclear what is their interrelationship and the assumptions implicit in their use. They ca...
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The mechanisms that generate pattern and form in embryogenesis are unknown. Realistic modeling tries to incorporate known biological facts into coherent and rational physicochemical model mechanisms that orchestrate the pattern formation process. Such models can be used to provide the developmental biologist with possible scenarios for how biological pattern and form are created and to suggest ...
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FitzHugh-Nagumo (FHN) model is a famous Reaction-Diffusion System which first introduced for the conduction of electrical impulses along a nerve fiber. This model is also considered as an abstract model for pattern formation. Here, we have used the Cellular Automata method to simulate the pattern formation of the FHN model. It is shown that the pattern of this model is very similar to those...
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ژورنال
عنوان ژورنال: The FASEB Journal
سال: 2009
ISSN: 0892-6638,1530-6860
DOI: 10.1096/fasebj.23.1_supplement.12.2