A Probabilistic Analysis of Volume Transmission in the Brain

DOI10.1137/16M1102252zbMath1412.35345WikidataQ130063889 ScholiaQ130063889MaRDI QIDQ4609602

Sean D. Lawley

Publication date: 5 April 2018

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

stochastic switchingpiecewise deterministic Markov processvolume transmissionstochastic hybrid systemneuromodulationrandom PDErandomly switching boundary

Mathematics Subject Classification ID

Neural biology (92C20) Brownian motion (60J65) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Diffusion processes (60J60) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Processes in random environments (60K37) PDEs with randomness, stochastic partial differential equations (35R60)

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Spiracular fluttering decouples oxygen uptake and water loss: a stochastic PDE model of respiratory water loss in insects ⋮ A probabilistic approach to extreme statistics of Brownian escape times in dimensions 1, 2, and 3 ⋮ Asymptotic and Numerical Analysis of a Stochastic PDE Model of Volume Transmission ⋮ Electrodiffusive Flux Through a Stochastically Gated Ion Channel ⋮ Diffusion in an age-structured randomly switching environment ⋮ Effective Permeability of a Gap Junction with Age-Structured Switching ⋮ How Receptor Surface Diffusion and Cell Rotation Increase Association Rates ⋮ Singularities of Invariant Densities for Random Switching between Two Linear ODEs in 2D

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