Abstract
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 its real-world relevance was long debated, a number of compelling examples have gradually alleviated much of the skepticism surrounding the model. The RD model can generate a wide variety of spatial patterns, and mathematical studies have revealed the kinds of interactions required for each, giving this model the potential for application as an experimental working hypothesis in a wide variety of morphological phenomena. In this review, we describe the essence of this theory for experimental biologists unfamiliar with the model, using examples from experimental studies in which the RD model is effectively incorporated.
| Original language | English |
|---|---|
| Pages (from-to) | 1616-1620 |
| Number of pages | 5 |
| Journal | Science |
| Volume | 329 |
| Issue number | 5999 |
| DOIs | |
| Publication status | Published - Sep 24 2010 |
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All Science Journal Classification (ASJC) codes
- General
Cite this
Reaction-diffusion model as a framework for understanding biological pattern formation. / Kondo, Shigeru; Miura, Takashi.
In: Science, Vol. 329, No. 5999, 24.09.2010, p. 1616-1620.Research output: Contribution to journal › Review article
}
TY - JOUR
T1 - Reaction-diffusion model as a framework for understanding biological pattern formation
AU - Kondo, Shigeru
AU - Miura, Takashi
PY - 2010/9/24
Y1 - 2010/9/24
N2 - 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 its real-world relevance was long debated, a number of compelling examples have gradually alleviated much of the skepticism surrounding the model. The RD model can generate a wide variety of spatial patterns, and mathematical studies have revealed the kinds of interactions required for each, giving this model the potential for application as an experimental working hypothesis in a wide variety of morphological phenomena. In this review, we describe the essence of this theory for experimental biologists unfamiliar with the model, using examples from experimental studies in which the RD model is effectively incorporated.
AB - 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 its real-world relevance was long debated, a number of compelling examples have gradually alleviated much of the skepticism surrounding the model. The RD model can generate a wide variety of spatial patterns, and mathematical studies have revealed the kinds of interactions required for each, giving this model the potential for application as an experimental working hypothesis in a wide variety of morphological phenomena. In this review, we describe the essence of this theory for experimental biologists unfamiliar with the model, using examples from experimental studies in which the RD model is effectively incorporated.
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U2 - 10.1126/science.1179047
DO - 10.1126/science.1179047
M3 - Review article
VL - 329
SP - 1616
EP - 1620
JO - Science
JF - Science
SN - 0036-8075
IS - 5999
ER -