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Patterning Barriers to Lateral Diffusion in Supported Lipid Bilayer Membranes by Blotting and Stamping
Patterning Barriers Lateral Diffusion Lipid Bilayer Membranes Blotting Stamping
2016/5/23
Two new methods are introduced for patterning fluid lipid bilayer membranes on solid supports. These methods are based on the observation that supported membranes undergo self-limiting lateral expansi...
Mathematics of gamete diffusion and fertilization in aquatic habitats
gamete diffusion aquatic habitats
2015/11/12
Mathematics of gamete diffusion and fertilization in aquatic habitats
First Passage Times for a Tracer Particle in Single File Diffusion and Fractional Brownian Motion
First Passage Times Tracer Particle Single File Diffusion Fractional Brownian Motion Biological Physics
2012/5/29
We investigate the full functional form of the first passage time density (FPTD) of a tracer particle in a single-file diffusion (SFD) system whose population is: (i) homogeneous, i.e., all particles ...
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...
Although many important systems can be represented by directed irregular structures, there is a lack of studies concerning diffusion dynamics in such systems. Here we take a first step towards this ob...
Asymptotic and bifurcation analysis of wave-pinning in a reaction-diffusion model for cell polarization
Asymptotic bifurcation analysis wave-pinning reaction-diffusion model
2011/1/5
We describe and analyze a bistable reaction-diffusion (RD) model for two interconverting chemical species that exhibits a phenomenon of wave-pinning: a wave of activation of one of the species is init...
The perfect integrator driven by Poisson input and its approximation in the diffusion limit
perfect integrator driven Poisson input approximation diffusion limit
2010/11/15
In this note we consider the perfect integrator driven by Poisson process input. We derive its equilibrium and response properties and contrast them to the approximations obtained by applying the diff...
In vivo anomalous diffusion and weak ergodicity breaking of lipid granules
anomalous diffusion weak ergodicity breaking lipid granules
2010/11/15
Combining extensive single particle tracking microscopy data of endogenous lipid granules in living fission yeast cells with complementary analytical results we show evidence for anomalous diffusion a...