91 citations · 181 across the 6 of their papers we have counts for
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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…
Discreteness-Induced Transitions in Autocatalytic Systems
Yuichi Togashi, Kunihiko Kaneko
To study the dynamics of chemical processes, we often adopt rate equations to observe the change in chemical concentrations. However, when the number of the molecules is small, the…
Discreteness-induced Stochastic Steady State in Reaction Diffusion Systems: Self-consistent Analysis and Stochastic Simulations
Yuichi Togashi, Kunihiko Kaneko
A self-consistent equation to derive a discreteness-induced stochastic steady state is presented for reaction-diffusion systems. For this formalism, we use the so-called Kuramoto l…
Molecular Discreteness in Reaction-Diffusion Systems Yields Steady States Not Seen in the Continuum Limit
Yuichi Togashi, Kunihiko Kaneko
We investigate the effects of spatial discreteness of molecules in reaction-diffusion systems. It is found that discreteness within the so called Kuramoto length can lead to a loca…