Stochastic model of leukocyte chemosensory movement
type: Item
instance of: scholarly article
title: Stochastic model of leukocyte chemosensory movement
zbMATH Open document ID: 0628.92017
DOI: 10.1007/BF00276435
author: Douglas A. Lauffenburger
author: Robert T. Tranquillo
published in: Journal of Mathematical Biology
publication date: 1987-01-01T00:00:00Z
review text: The goal of the paper is to examine a unifying hypothesis for the two modes of cell migration behaviour exhibited by leukocytes: random motility - the persistent random walk behaviour of cells in uniform concentrations of chemoattractants, and chemotaxis - the biased random walk of cells observed in gradients of chemoattractants. It is proposed that random motility is observed in macroscopically uniform concentrations because the cell perceives fluctuating gradients without a mean direction. The excepted response is an unbiased random walk characteristic of random motility. Chemotaxis is observed in macroscopic gradients because of perceived fluctuations in direction as well as magnitude around the mean gradient. The expected response is the biased random walk characteristic of chemotaxis. The model of the cell can be formalized as a deterministic transformation (receptor - singal transduction) and response (translation with turning) of a stochastic signal not coupled to the response. The modeling equations for the particular mechanisms employed in the general model constitute a stochastic differential system in the sense of Itô.
Mathematics Subject Classification ID: 92Cxx
Mathematics Subject Classification ID: 92C05
zbMATH DE Number: 4023093
zbMATH Keywords: leukocyte chemosensory movement
zbMATH Keywords: cell orientation
zbMATH Keywords: receptor sensing
zbMATH Keywords: chemoreception
zbMATH Keywords: cell migration behaviour
zbMATH Keywords: leukocytes
zbMATH Keywords: random motility
zbMATH Keywords: persistent random walk
zbMATH Keywords: chemotaxis
zbMATH Keywords: biased random walk of cells
zbMATH Keywords: gradients of chemoattractants
zbMATH Keywords: receptor - singal transduction
Wikidata QID: Q41461440
MaRDI profile type: Publication
cites work: Biased random walk models for chemotaxis and related diffusion approximations
cites work: Limit theorems in stochastic biochemical modelling
cites work: Handbook of stochastic methods for physics, chemistry and the natural sciences
cites work: Q4042404
cites work: Amoeboid movement as a correlated walk
cites work: The complexity of stochastic differential equations
cites work: Q3917278
cites work: Q5656211
cites work: Cell spreading and motility: A model lamellipod
cites work: Discretization and simulation of stochastic differential equations
cites work: Numerical Treatment of Stochastic Differential Equations
cites work: Random differential equations in science and engineering
cites work: The digital simulation of stochastic differential equations
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description: scientific article; zbMATH DE number 4023093