[HTML][HTML] Pattern formation mechanisms of self-organizing reaction-diffusion systems
Embryonic development is a largely self-organizing process, in which the adult body plan
arises from a ball of cells with initially nearly equal potency. The reaction-diffusion theory first …
arises from a ball of cells with initially nearly equal potency. The reaction-diffusion theory first …
Reaction-diffusion model as a framework for understanding biological pattern formation
S Kondo, T Miura - science, 2010 - science.org
The Turing, or reaction-diffusion (RD), model is one of the best-known theoretical models
used to explain self-regulated pattern formation in the developing animal embryo. Although …
used to explain self-regulated pattern formation in the developing animal embryo. Although …
Mechanisms of pattern formation in development and evolution
We present a classification of developmental mechanisms that have been shown
experimentally to generate pattern and form in metazoan organisms. We propose that all …
experimentally to generate pattern and form in metazoan organisms. We propose that all …
Complex pattern formation in reaction–diffusion systems with spatially varying parameters
Spontaneous pattern formation in reaction–diffusion systems on a spatially homogeneous
domain has been well studied. However, in embryonic development and elsewhere, pattern …
domain has been well studied. However, in embryonic development and elsewhere, pattern …
Pattern formation in reaction-diffusion models with nonuniform domain growth
EJ Crampin, WW Hackborn, PK Maini - Bulletin of mathematical biology, 2002 - Springer
Recent examples of biological pattern formation where a pattern changes qualitatively as
the underlying domain grows have given rise to renewed interest in the reaction-diffusion …
the underlying domain grows have given rise to renewed interest in the reaction-diffusion …
The influence of receptor-mediated interactions on reaction-diffusion mechanisms of cellular self-organisation
Understanding the mechanisms governing and regulating self-organisation in the
developing embryo is a key challenge that has puzzled and fascinated scientists for …
developing embryo is a key challenge that has puzzled and fascinated scientists for …
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 …
embryo. A number of theories have been proposed to account for this phenomenon. The …
Stochastic Turing patterns in a synthetic bacterial population
D Karig, KM Martini, T Lu… - Proceedings of the …, 2018 - National Acad Sciences
The origin of biological morphology and form is one of the deepest problems in science,
underlying our understanding of development and the functioning of living systems. In 1952 …
underlying our understanding of development and the functioning of living systems. In 1952 …
Gene networks capable of pattern formation: from induction to reaction–diffusion
I SALAZAR-CIUDAD, J GARCIA-FERNÁNDEZ… - Journal of theoretical …, 2000 - Elsevier
One of the main aims of developmental biology is to understand how a single and
apparently homogeneous egg cell achieves the intricate complexity of the adult. Here we …
apparently homogeneous egg cell achieves the intricate complexity of the adult. Here we …
Mathematically guided approaches to distinguish models of periodic patterning
TW Hiscock, SG Megason - Development, 2015 - journals.biologists.com
How periodic patterns are generated is an open question. A number of mechanisms have
been proposed–most famously, Turing's reaction-diffusion model. However, many …
been proposed–most famously, Turing's reaction-diffusion model. However, many …