253 citations · 3k across the 163 of their papers we have counts for
Showing 2006Show all
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physics.chem-ph2006★ 10 cited
Switching Dynamics in Reaction Networks Induced by Molecular Discreteness
Yuichi Togashi, Kunihiko Kaneko
To study the fluctuations and dynamics in chemical reaction processes, stochastic differential equations based on the rate equation involving chemical concentrations are often adop…
nlin.AO2006★ 3 cited
State Differentiation by Transient Truncation in Coupled Threshold Dynamics
Yoshinori Watanabe, Kunihiko kaneko
Dynamics with a threshold input--output relation commonly exist in gene, signal-transduction, and neural networks. Coupled dynamical systems of such threshold elements are investig…
q-bio.PE2006★ 47 cited
Evolution Equation of Phenotype Distribution: General Formulation and Application to Error Catastrophe
Katsuhiko Sato, Kunihiko Kaneko
An equation describing the evolution of phenotypic distribution is derived using methods developed in statistical physics. The equation is solved by using the singular perturbation…