Abstract
particle that switches between different states, for example, its diffusion coefficient switches between two values, D 1 and D 2, at exponential waiting times with rates k 12 and k 21, respectively, in search of a small target in a bounded domain \(\Omega\) (Reingruber and Holcman 2009). When the diffusion coefficient is D 1, the Brownian trajectory is reflected at the boundary \(\partial \Omega\), except for a small absorbing part \(\partial \Omega _{a}\). When the diffusion coefficient is D 2, the entire boundary reflects the Brownian trajectory. Thus the target is gated by the state of the searching particle.
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Holcman, D., Schuss, Z. (2015). Random Search with Switching. In: Stochastic Narrow Escape in Molecular and Cellular Biology. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-3103-3_7
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DOI: https://doi.org/10.1007/978-1-4939-3103-3_7
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