Biological pattern formation: from basic mechanisms to complex structures

AJ Koch, H Meinhardt - Reviews of modern physics, 1994 - APS
The reliable development of highly complex organisms is an intriguing and fascinating
problem. The genetic material is, as a rule, the same in each cell of an organism. How then …

The unreasonable effectiveness of reaction diffusion in vertebrate skin color patterning

MC Milinkovitch, E Jahanbakhsh… - Annual Review of Cell …, 2023 - annualreviews.org
In 1952, Alan Turing published the reaction-diffusion (RD) mathematical framework, laying
the foundations of morphogenesis as a self-organized process emerging from …

[图书][B] Diffusion and ecological problems: modern perspectives

A Okubo, SA Levin - 2001 - Springer
The story of this edition is a testament to an almost legendary gure in theoretical ecology
and to the in uence his work and charisma has had on the eld. It is also a story that can only …

Cellular automata approaches to biological modeling

GB Ermentrout, L Edelstein-Keshet - Journal of theoretical Biology, 1993 - Elsevier
We review a number of biologically motivated cellular automata (CA) that arise in models of
excitable and oscillatory media, in developmental biology, in neurobiology, and in …

Spots, stripes, tail tips and dark eyes: predicting the function of carnivore colour patterns using the comparative method

A Ortolani - Biological Journal of the Linnean Society, 1999 - academic.oup.com
Animal colour patterns are adaptive for three reasons: camouflage, communication and
physico-physiological functions. This study proposes a conceptual framework for predicting …

Pigmentation pattern formation on snakes

JD Murray, MR Myerscough - Journal of theoretical biology, 1991 - Elsevier
We consider a cell-chemotaxis model mechanism for generating some of the common,
simple and complex, patterns found on the skin of snakes. By investigating the pattern …

Bifurcating spatially heterogeneous solutions in a chemotaxis model for biological pattern generation

PK Maini, MR Myerscough, KH Winter… - Bulletin of mathematical …, 1991 - Springer
We consider a simple cell-chemotaxis model for spatial pattern formation on two-
dimensional domains proposed by Oster and Murray (1989, J. exp. Zool. 251, 186–202). We …

At the biological modeling and simulation frontier

CA Hunt, GEP Ropella, TN Lam, J Tang, SHJ Kim… - Pharmaceutical …, 2009 - Springer
We provide a rationale for and describe examples of synthetic modeling and simulation
(M&S) of biological systems. We explain how synthetic methods are distinct from familiar …

Ecological interactions in patchy environments: from patch-occupancy models to cellular automata

H Caswell, RJ Etter - Patch dynamics, 1993 - Springer
The ecological theory of species interactions rests largely on the competition and
predatorprey models of Lotka, Volterra, Nicholson, and Gause (eg, May 1973). These …

[HTML][HTML] Using mathematical models to help understand biological pattern formation

PK Maini - Comptes rendus. Biologies, 2004 - comptes-rendus.academie-sciences …
Résumé One of the characteristics of biological systems is their ability to produce and
sustain spatial and spatio-temporal pattern. Elucidating the underlying mechanisms …