On the shift of a regulatory signal in models of matrix synthesis

The paper deals with the limiting properties of the matrix synthesis models that take into account the phenomenon of branching and an unspecified number of intermediate steps. Numerically, it is shown that with unlimited increase of the number of intermediate steps, there is observed a shift of the...

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Bibliographic Details
Published in:Journal of applied and industrial mathematics 2013-07, Vol.7 (3), p.404-411
Main Authors: Likhoshvai, V. A., Fadeev, S. I.
Format: Article
Language:English
Subjects:
Analogies
Cauchy problems
Chains
Compressing
Constraining
Genomics
Mathematical analysis
Mathematical models
Mathematics
Mathematics and Statistics
Matrix
Studies
Synthesis
Theorems
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Summary:The paper deals with the limiting properties of the matrix synthesis models that take into account the phenomenon of branching and an unspecified number of intermediate steps. Numerically, it is shown that with unlimited increase of the number of intermediate steps, there is observed a shift of the control signal along the chain synthesis. Also the shift causes the compression of the control function which is inversely proportional to the branching ratio. If branching is absent then the conjectures are proved by analogy with the available limit theorems.
ISSN:1990-4789
1990-4797
DOI:10.1134/S1990478913030137