Document Detail


A model for the expression of Gap genes based on the Jeffreys type equation.
MedLine Citation:
PMID:  25338721     Owner:  NLM     Status:  Publisher    
Abstract/OtherAbstract:
MOTIVATION: We propose the 3rd order model equation of the Jeffreys type for concentrations of gap gene proteins in order to take into account particle inertia. Gap genes are responsible for formation of body segments in D.melanogaster embryo during its early development. Usually the expression of the genes is described by the model of protein transport based on conventional diffusion equation. However the model is known to govern the Brownian (non-inertial) motion of particles, hence, it is hardly applicable to the description of protein transport.
RESULTS: Analysis of the Jeffreys type equation results in the necessary condition for the problem to be well-posed. Application of the Jeffreys type equation with non-linear terms to description of the dynamics of gap gene network demonstrates better fitting to experimental data than the conventional model. Availability and implementation: Implementation of solver algorithms and the software are freely available from: https://github.com/wswgG/solver-for-the-Jeffreys-type-equations-system CONTACT: gula@mail.ioffe.ru or samsonov@math.ioffe.ru.
Authors:
Igor A Gula; Alexander M Samsonov
Publication Detail:
Type:  JOURNAL ARTICLE     Date:  2014-10-22
Journal Detail:
Title:  Bioinformatics (Oxford, England)     Volume:  -     ISSN:  1367-4811     ISO Abbreviation:  Bioinformatics     Publication Date:  2014 Oct 
Date Detail:
Created Date:  2014-10-23     Completed Date:  -     Revised Date:  2014-10-24    
Medline Journal Info:
Nlm Unique ID:  9808944     Medline TA:  Bioinformatics     Country:  -    
Other Details:
Languages:  ENG     Pagination:  -     Citation Subset:  -    
Copyright Information:
© The Author (2014). Published by Oxford University Press. All rights reserved. For Permissions, please email: journals.permissions@oup.com.
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