Different Types of Phenomenological Mathematical Models of Thrombus Growth
https://doi.org/10.18705/2311-4495-2015-0-6-53-63
Abstract
Phenomenological mathematical model of laser-induced thrombi growth is developed on the basis of Bogolubov’s hierarchy of time scales. The stochastic character of thrombi growth is revealed in the model by explicit introduction of the probability function. The main foundations of the model correspond to the basic experimental results concerning thrombus formation obtained in recent years. The modeling curves permit to achieve qualitative agreement between model and experimental data. The comparison of the model with other models of thrombus growth is performed.
About the Authors
A. S. Kondratyev
Herzen State Pedagogical University of Russia
Russian Federation
Russian Federation
A. V. Lyaptsev
Herzen State Pedagogical University of Russia
Russian Federation
Russian Federation
I. A. Mikhailova
Institute of Experimental Medicine, Federal Almazov Medical Research Centre; First Pavlov State Medical University
Russian Federation
Russian Federation
N. N. Petrishchev
Institute of Experimental Medicine, Federal Almazov Medical Research Centre; First Pavlov State Medical University
Russian Federation
Russian Federation
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Review
For citations:
Kondratyev A.S., Lyaptsev A.V., Mikhailova I.A., Petrishchev N.N. Different Types of Phenomenological Mathematical Models of Thrombus Growth. Translational Medicine. 2015;(6):53-63. (In Russ.) https://doi.org/10.18705/2311-4495-2015-0-6-53-63
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