Redundancy principle and the role of extreme statistics in molecular and cellular biology
Z Schuss, K Basnayake, D Holcman - Physics of life reviews, 2019 - Elsevier
The paradigm of chemical activation rates in cellular biology has been shifted from the mean
arrival time of a single particle to the mean of the first among many particles to arrive at a …
arrival time of a single particle to the mean of the first among many particles to arrive at a …
[图书][B] Noise in nonlinear dynamical systems
F Moss, PVE McClintock - 1989 - books.google.com
Nature is inherently noisy and nonlinear. It is noisy in the sense that all macroscopic systems
are subject to the fluctuations of their environments and also to internal fluctuations. It is …
are subject to the fluctuations of their environments and also to internal fluctuations. It is …
[图书][B] Brownian dynamics at boundaries and interfaces
Z Schuss - 2015 - Springer
Brownian dynamics serve as mathematical models for the diffusive motion of microscopic
particles of various shapes in gaseous, liquid, or solid environments. The renewed interest …
particles of various shapes in gaseous, liquid, or solid environments. The renewed interest …
Partially reflected diffusion
The radiation (reactive or Robin) boundary condition for the diffusion equation is widely
used in chemical and biological applications to express reactive boundaries. The underlying …
used in chemical and biological applications to express reactive boundaries. The underlying …
The exit-time problem for a Markov jump process
N Burch, M D'Elia, RB Lehoucq - The European Physical Journal Special …, 2014 - Springer
The purpose of this paper is to consider the exit-time problem for a finite-range Markov jump
process, ie, the distance the particle can jump is bounded independent of its location. Such …
process, ie, the distance the particle can jump is bounded independent of its location. Such …
[PDF][PDF] On the distribution of dominance in populations of social organisms
E Jager, LA Segel - SIAM J. Appl. Math, 1992 - pdodds.w3.uvm.edu
Bumble bees may possess a scalar character called dominance, which changes according
to certain rules as a result of encounters between pairs of organisms. An equation for the …
to certain rules as a result of encounters between pairs of organisms. An equation for the …
On the distribution of dominance in populations of social organisms
E Jäger, LA Segel - SIAM Journal on Applied Mathematics, 1992 - SIAM
Bumble bees may possess a scalar character called dominance, which changes according
to certain rules as a result of encounters between pairs of organisms. An equation for the …
to certain rules as a result of encounters between pairs of organisms. An equation for the …
[图书][B] Asymptotics of Elliptic and Parabolic PDEs
D Holcman, Z Schuss - 2018 - Springer
This book is a summary of modern asymptotic methods for the construction of solutions to
boundary value problems for partial differential equations (PDEs) arising from modern …
boundary value problems for partial differential equations (PDEs) arising from modern …
Random walk in a quasicontinuum
CR Doering, PS Hagan, P Rosenau - Physical Review A, 1987 - APS
A continuous-time random walk on a spatial lattice described by the Kramers-Moyal
expansion has a continuum limit described by a Fokker-Planck equation. It is often desirable …
expansion has a continuum limit described by a Fokker-Planck equation. It is often desirable …
First-order dynamics driven by rapid Markovian jumps
MM Kłosek, BJ Matkowsky, Z Schuss - SIAM Journal on Applied Mathematics, 1989 - SIAM
The effect of rapid random jumps on the behavior of deterministically stable dynamics is
considered. The random driving force (noise) is taken to be a state-dependent Markov jump …
considered. The random driving force (noise) is taken to be a state-dependent Markov jump …