Reaction-Diffusion Model as a Framework for Understanding Biological Pattern Formation

By Shigeru Kondo, T. Miura. Science, 2010

1,634 citations recorded by the source corpus.

Subfields: Computer Networks and Communications, Molecular Biology, Plant Science

View Paper: https://www.semanticscholar.org/paper/b3296c877ed52b3961990507714b434058977ec9

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Citations in the corpus

MorphoGraphX: A platform for quantifying morphogenesis in 4D (2015, methodology): “Most simulation models of morphogenesis operate on 2D templates (Dumais and Steele, 2000; Jönsson et al., 2006; Sick et al., 2006; Merks et al., 2007; Stoma et al., 2008; Kondo and Miura, 2010; Varner et al., 2010; Kennaway et al., 2011; Santuari et al., 2011; Aegerter-Wilmsen et al., 2012; Kierzkow”
Morphogen gradients: from generation to interpretation. (2011, background): “This can result in self-organization that generates patterns in an initially homogenous field of cells (Kondo & Miura 2010).”
On Having No Head: Cognition throughout Biological Systems (2016, background): “Another medium for information processing is within chemical networks, such as reaction-diffusion (RD) dynamics that underlie pattern formation in embryogenesis (Kondo, 2002; Kondo and Miura, 2010; Raspopovic et al., 2014).”
Spatio-temporal dynamics of a reaction-diffusion system for a predator–prey model with hyperbolic mortality (2014, background): “The original idea of generating patterns from diffusion was proposed by Turing [34] more than 60 years ago, and since then it has been an active area [18,20,25,28,30], and numerous works have been done numerically [24,28] and theoretically [8,26,27].”
Formulation of the normal form of Turing-Hopf bifurcation in partial functional differential equations (2020, background): “This phenomenon is often called the Turing instability or diffusion-driven instability, and associated Turing bifurcation could lead to spatially inhomogeneous steady states [32,50,62].”
Liquid phase condensation in cell physiology and disease (2017, background): “Historically, the power of systems of reacting and diffusing molecules was first highlighted in 1952 by Alan Turing, who introduced a mathematical framework explaining how coupled reaction diffusion equations can explain the spontaneous generation of patterns of biomolecules (129); this basic mechan”