Initiation of reaction-diffusion waves of blood coagulation

DOI10.1016/j.physd.2017.11.006zbMath1398.35117OpenAlexW2773204527MaRDI QIDQ1990086

Martine Marion, Tatiana Galochkina, Vitaly A. Volpert

Publication date: 24 October 2018

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2017.11.006

zbMATH Keywords

reaction-diffusion systempulse solutionblood coagulation

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Biophysics (92C05)

Related Items (8)

Existence of Pulses for Monotone Reaction-Diffusion Systems ⋮ Patient-specific modelling of blood coagulation ⋮ Method of monotone solutions for reaction-diffusion equations ⋮ Prey-predator model with nonlocal and global consumption in the prey dynamics ⋮ (INVITED) Reaction-diffusion waves in cardiovascular diseases ⋮ Introduction to special issue: ``Nonlinear partial differential equations in mathematical fluid dynamics ⋮ Mathematical modelling of atherosclerosis ⋮ Fractional order model of immune cells influenced by cancer cells

Cites Work

• Asymptotic behavior of solutions of a nonlinear diffusion equation with a source term of general form
• Convergence to a wave of solutions of a nonlinear diffusion equation with source of general type
• Reaction-diffusion waves of blood coagulation
• Dynamics of spatially nonuniform patterning in the model of blood coagulation
• EXISTENCE OF MULTIDIMENSIONAL TRAVELLING WAVES AND SYSTEMS OF WAVES
• Traveling wave solutions in the mathematical model of blood coagulation
• Spatial Dynamics of Contact-Activated Fibrin Clot Formationin vitroandin silicoin Haemophilia B: Effects of Severity and Ahemphil B Treatment
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