منابع مشابه
Pattern formation by competition: a biological example.
We present a simple model based on a reaction-diffusion equation to explain pattern formation in a multicellular bacterium (Streptomyces). We assume competition for resources as the basic mechanism that leads to pattern formation; in particular we are able to reproduce the spatial pattern formed by bacterial aerial mycelium in the case of growth in minimal (low resources) and maximal (large res...
متن کاملConstructal theory of pattern formation
Introduction Conclusions References Tables Figures Back Close Full Screen / Esc Papers published in Hydrology and Earth System Sciences Discussions are under open-access review for the journal Hydrology and Earth System Sciences Abstract Introduction Conclusions References
متن کاملApplications of a theory of biological pattern formation based on lateral inhibition.
Model calculations are presented for various problems of development on the basis of a theory of primary pattern formation which we previously proposed. The theory involves shortrange autocatalytic activation and longer-range inhibition (lateral inhibition). When a certain criterion is satisfied, self-regulating patterns are generated. The autocatalytic features of the theory are demonstrated b...
متن کاملMultiscale modeling of biological pattern formation.
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...
متن کاملModeling Biological Pattern Formation in Embryology
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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ژورنال
عنوان ژورنال: Kybernetik
سال: 1972
ISSN: 0340-1200,1432-0770
DOI: 10.1007/bf00289234