| Symmetries of S-systems. | |
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MedLine Citation:
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PMID: 1591448 Owner: NLM Status: MEDLINE |
Abstract/OtherAbstract:
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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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Authors:
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E O Voit |
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Publication Detail:
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Type: Journal Article; Research Support, U.S. Gov't, P.H.S. |
Journal Detail:
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Title: Mathematical biosciences Volume: 109 ISSN: 0025-5564 ISO Abbreviation: Math Biosci Publication Date: 1992 Apr |
Date Detail:
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Created Date: 1992-06-29 Completed Date: 1992-06-29 Revised Date: 2009-11-11 |
Medline Journal Info:
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Nlm Unique ID: 0103146 Medline TA: Math Biosci Country: UNITED STATES |
Other Details:
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Languages: eng Pagination: 19-37 Citation Subset: IM |
Affiliation:
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Department of Biostatistics, Epidemiology, and Systems Science, Medical University of South Carolina, Charleston. |
Export Citation:
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APA/MLA Format Download EndNote Download BibTex |
| MeSH Terms | |
Descriptor/Qualifier:
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Models, Biological Models, Theoretical Systems Theory* |
| Grant Support | |
ID/Acronym/Agency:
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2RO1 GM30054-05/GM/NIGMS NIH HHS |
From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine
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