Local kinetics of morphogen gradients.

Abstract:

:Some aspects of pattern formation in developing embryos can be described by nonlinear reaction-diffusion equations. An important class of these models accounts for diffusion and degradation of a locally produced single chemical species. At long times, solutions of such models approach a steady state in which the concentration decays with distance from the source of production. We present analytical results that characterize the dynamics of this process and are in quantitative agreement with numerical solutions of the underlying nonlinear equations. The derived results provide an explicit connection between the parameters of the problem and the time needed to reach a steady state value at a given position. Our approach can be used for the quantitative analysis of tissue patterning by morphogen gradients, a subject of active research in biophysics and developmental biology.

authors

Gordon PV,Sample C,Berezhkovskii AM,Muratov CB,Shvartsman SY

doi

10.1073/pnas.1019245108

subject

Has Abstract

pub_date

2011-04-12 00:00:00

pages

6157-62

issue

15

eissn

0027-8424

issn

1091-6490

pii

1019245108

journal_volume

108

pub_type

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