Document Detail

Symmetries of S-systems.
MedLine Citation:
PMID:  1591448     Owner:  NLM     Status:  MEDLINE    
An S-system is a set of first-order nonlinear differential equations that all have the same structure: The derivative of a variable is equal to the difference of two products of power-law functions. S-systems have been used as models for a variety of problems, primarily in biology. In addition, S-systems possess the interesting property that large classes of differential equations can be recast exactly as S-systems, a feature that has been proven useful in statistics and numerical analysis. Here, simple criteria are introduced that determine whether an S-system possesses certain types of symmetries and how the underlying transformation groups can be constructed. If a transformation group exists, families of solutions can be characterized, the number of S-system equations necessary for solution can be reduced, and some boundary value problems can be reduced to initial value problems.
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Publication Detail:
Type:  Journal Article; Research Support, U.S. Gov't, P.H.S.    
Journal Detail:
Title:  Mathematical biosciences     Volume:  109     ISSN:  0025-5564     ISO Abbreviation:  Math Biosci     Publication Date:  1992 Apr 
Date Detail:
Created Date:  1992-06-29     Completed Date:  1992-06-29     Revised Date:  2009-11-11    
Medline Journal Info:
Nlm Unique ID:  0103146     Medline TA:  Math Biosci     Country:  UNITED STATES    
Other Details:
Languages:  eng     Pagination:  19-37     Citation Subset:  IM    
Department of Biostatistics, Epidemiology, and Systems Science, Medical University of South Carolina, Charleston.
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MeSH Terms
Models, Biological
Models, Theoretical
Systems Theory*
Grant Support

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