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Some Exact Self-Similar Solutions to a Density-Dependent Reaction-Diffusion Model
Exact Self-Similar Density-Dependent Reaction-Diffusion Model Biological Physics
2012/4/20
In this paper, we investigated a density-dependent reaction-diffusion equation, $u_t = (u^{m})_{xx} + u - u^{m}$. This equation is known as the extension of the Fisher or Kolmogoroff-Petrovsky-Piscoun...
Exact solution of a stochastic protein dynamics model with delayed degradation
protein dynamics model
2011/9/29
We study a stochastic model of protein dynamics that explicitly includes delay in the degradation.We rigorously derive the master equation for the processes and solve it exactly. We show that the equa...