Kinetic model of changes in genetic controlling systems in cells into a state of proliferation and differentiation

A kinetic model of changes in genetic controlling systems in cells into a state of proliferation and differentiation was built. A mathematical description of that model in a form of differential equations systems was made. Solutions of those systems were presented graphically. It was shown that at m...

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Bibliographic Details
Published in:Biophysics (Oxford) 2014-09, Vol.59 (4), p.601-607
Main Authors: Stadnyk, I. V., Sanagursky, D. I.
Format: Article
Language:English
Subjects:
Biological and Medical Physics
Biophysics
Cell Biophysics
Cell growth
Gene expression
Kinetics
Mathematical models
Physics
Physics and Astronomy
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Summary:A kinetic model of changes in genetic controlling systems in cells into a state of proliferation and differentiation was built. A mathematical description of that model in a form of differential equations systems was made. Solutions of those systems were presented graphically. It was shown that at minimum values of reaction rate constants linear time changes were observed in kinetic model parameters and at maximum levels they were non-linear that was characteristic of the living systems. These results point to the fact that changes in genetic controlling systems in living cells occur when reaction rate constants are maximum.
ISSN:0006-3509
1555-6654
DOI:10.1134/S0006350914040071