Geodesic
The models of the pulsating process of blood clotting
Matematičeskoe modelirovanie, Tome 26 (2014) no. 12, pp. 14-32

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The asymptotic solutions were constructed describing nonlinear pulsating modes arising in the models of processes of blood clotting. The expressions of coefficients of exponential decreasing of the solution and the frequency of oscillation were calculated through the parameters of the problem. The pulsating spiral waves were described too. There is a possibility of describing a family of solutions of nonlinear differential equation of fourth order with partial derivatives (PDE) solutions of nonlinear second order PDE. The method of unfixed constructive replacement of variables (MUCR) is used to prove the existence of such a way of construction of solutions.
Keywords: model of pulsating process of blood clotting, pulsating spiral waves, effect of “stop” spiral wave, asymptotic solutions. 
@article{MM_2014_26_12_a1,
     author = {E. K. Vdovina and L. V. Pugina and K. A. Volosov},
     title = {The models of the pulsating process of blood clotting},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {14--32},
     publisher = {mathdoc},
     volume = {26},
     number = {12},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2014_26_12_a1/}
}
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E. K. Vdovina; L. V. Pugina; K. A. Volosov. The models of the pulsating process of blood clotting. Matematičeskoe modelirovanie, Tome 26 (2014) no. 12, pp. 14-32. http://geodesic.mathdoc.fr/item/MM_2014_26_12_a1/