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Existence of pulses for a reaction-diffusion system of blood coagulation in flow

1 Institut Camille Jordan, UMR 5585 CNRS, Ecole Centrale de Lyon, 69134 Ecully, France
2 Institut Camille Jordan, UMR 5585 CNRS, University Lyon 1, 69622 Villeurbanne, France
3 INRIA, Université de Lyon, Université Lyon 1, Institut Camille Jordan, 43 Bd. du 11 Novembre 1918, 69200 Villeurbanne Cedex, France
4 Peoples’ Friendship University of Russia (RUDN University) 6 Miklukho-Maklaya St, Moscow, 117198, Russian Federation
5 Marchuk Institute of Numerical Mathematics of the RAS, ul. Gubkina 8, 119333 Moscow, Russian Federation

Special Issues: Differential Equations in Mathematical Biology

A reaction-diffusion system describing blood coagulation in flow is studied. We prove the existence of stationary solutions provided that the speed of the travelling wave problem for the limiting value of the velocity is positive. The implications to the problem of clot growth are discussed.
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Keywords reaction-diffusion system; blood coagulation in flow; existence of pulses; Leray-Schauder method

Citation: Nicolas Ratto, Martine Marion, Vitaly Volpert. Existence of pulses for a reaction-diffusion system of blood coagulation in flow. Mathematical Biosciences and Engineering, 2019, 16(5): 4196-4212. doi: 10.3934/mbe.2019209


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