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Matematicheskoe modelirovanie, 2008, Volume 20, Number 1, Pages 92–98 (Mi mm2140)  
Optimization model of collagen type IV limited proteolyses

D. Yu. Ignatiev, M. A. Khanin

Moscow State Aviation Technological University
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Abstract: The mathematical model of dynamics of collagen type IV limited proteolyses is proposed. The processes of collagen type IV degradation on cellular membrane are considered. Are the processes of metalloproteinases MT1-MMP and MMP-2 complexes are participated. Inhibitor of metalloproteinases TIMP-2 is also participated. Because many kinetic of enzyme reaction and reactions of second order have not yet measured optimization model that is permitted this constant is proposed. The cost function is minimum protein consumption. The constrained base on physiological purpose of process: basal membrane degradation for a given time.
Received: 29.05.2006
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Language: Russian
Citation: D. Yu. Ignatiev, M. A. Khanin, “Optimization model of collagen type IV limited proteolyses”, Matem. Mod., 20:1 (2008), 92–98
Citation in format AMSBIB
\Bibitem{IgnKha08}
\by D.~Yu.~Ignatiev, M.~A.~Khanin
\paper Optimization model of collagen type~IV limited proteolyses
\jour Matem. Mod.
\yr 2008
\vol 20
\issue 1
\pages 92--98
\mathnet{http://mi.mathnet.ru/mm2140}
\zmath{https://zbmath.org/?q=an:1150.92367}
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    		Математическое моделирование
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