[图书][B] Mathematical modeling of biological pattern formation

A Deutsch, S Dormann - 2005 - Springer
In this chapter we have presented mathematical modeling approaches to biological pattern
formation. While reaction-diffusion models are appropriate to describe the spatio-temporal …

A cell-centered approach to developmental biology

RMH Merks, JA Glazier - Physica A: Statistical Mechanics and its …, 2005 - Elsevier
Explaining embryonic development of multicellular organisms requires insight into complex
interactions between genetic regulation and physical, generic mechanisms at multiple …

A three-dimensional model of myxobacterial aggregation by contact-mediated interactions

O Sozinova, Y Jiang, D Kaiser… - Proceedings of the …, 2005 - National Acad Sciences
Myxobacteria provide one of the simplest models of cell–cell interaction and organized cell
movement leading to cellular differentiation. When starved, tens of thousands of cells …

Reversing cell polarity: evidence and hypothesis

D Kaiser, R Yu - Current opinion in microbiology, 2005 - Elsevier
The long, rod-shaped cells of myxobacteria are polarized by their gliding engines. At the
rear, A-engines push while pili pull the front end forward. An hypothesis is developed …

An individual based model of rippling movement in a myxobacteria population

ARA Anderson, BN Vasiev - Journal of theoretical biology, 2005 - Elsevier
Migrating cells of Myxococcus xanthus (MX) in the early stages of starvation-induced
development exhibit elaborate patterns of propagating waves. These so-called rippling …

On the Origin of Patterns

A Deutsch, S Dormann - Cellular Automaton Modeling of Biological …, 2005 - Springer
“In the beginning God created the heavens and the earth. And the earth was without form
and empty. And darkness was on the face of the deep. And the Spirit of God moved on the …

Discussion and Outlook

A Deutsch, S Dormann - Cellular Automaton Modeling of Biological …, 2005 - Springer
Contrary to “continuous systems” and their canonical description with partial differential
equations, there is no standard model for describing discrete systems, particularly …