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

  • Received: 31 January 2019 Accepted: 14 March 2019 Published: 13 May 2019
  • 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.

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

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  • 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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  • © 2019 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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