[HTML][HTML] Positional information and reaction-diffusion: two big ideas in developmental biology combine

J Green, J Sharpe - Development, 2015 - journals.biologists.com
One of the most fundamental questions in biology is that of biological pattern: how do the
structures and shapes of organisms arise? Undoubtedly, the two most influential ideas in …

Modeling and simulation of genetic regulatory systems: a literature review

H De Jong - Journal of computational biology, 2002 - liebertpub.com
In order to understand the functioning of organisms on the molecular level, we need to know
which genes are expressed, when and where in the organism, and to which extent. The …

Self-organization

I Prigogine, G Nicolis - Non-equilibrium system, 1977 - tabis2013.ipb.ac.rs
КВАНТИФИКАЦИЈА САМООРГАНИЗАЦИЈЕ И КОМПЛЕКСНОСТИ ЗАСНОВАНА НА
ИЗБОРУ Page 1 SELF-ORGANIZATION AS A PROCESSING OF HIDDEN CAUSAL …

[图书][B] Mathematical models in biology

L Edelstein-Keshet - 2005 - SIAM
Mathematical Models in Biology began as a set of lecture notes for a course taught at Brown
University. It has since evolved through several years of classroom testing at Brown and …

A clock and wavefront model for control of the number of repeated structures during animal morphogenesis

J Cooke, EC Zeeman - Journal of theoretical biology, 1976 - Elsevier
Most current models for morphogenesis of repeated patterns, such as vertebrate somites,
cannot explain the observed degree of constancy for the number of somites in individuals of …

Generating textures on arbitrary surfaces using reaction-diffusion

G Turk - Acm Siggraph Computer Graphics, 1991 - dl.acm.org
This paper describes a biologically motivated method of texture synthesis called reaction-
diffusion and demonstrates how these textures can be generated in a manner that directly …

Turing's model for biological pattern formation and the robustness problem

PK Maini, TE Woolley, RE Baker… - Interface …, 2012 - royalsocietypublishing.org
One of the fundamental questions in developmental biology is how the vast range of pattern
and structure we observe in nature emerges from an almost uniformly homogeneous …

Reaction and diffusion on growing domains: scenarios for robust pattern formation

EJ Crampin, EA Gaffney, PK Maini - Bulletin of mathematical biology, 1999 - Elsevier
We investigate the sequence of patterns generated by a reaction–diffusion system on a
growing domain. We derive a general evolution equation to incorporate domain growth in …

Phyllotaxis

RV Jean - (No Title), 1994 - cir.nii.ac.jp
抄録< jats: p> Phyllotaxis, the study of the patterns exhibited by leaves and other organs of
plants, raises some of the deepest questions of plant morphogenesis. What principles of …

Spatial pattern formation in chemical and biological systems

PK Maini, KJ Painter, HNP Chau - Journal of the Chemical Society …, 1997 - pubs.rsc.org
One of the central issues in developmental biology is the formation of spatial pattern in the
embryo. A number of theories have been proposed to account for this phenomenon. The …