Please use this identifier to cite or link to this item: http://hdl.handle.net/10995/101763
Title: (INVITED) Reaction–diffusion waves in cardiovascular diseases
Authors: Panfilov, A. V.
Dierckx, H.
Volpert, V.
Issue Date: 2019
Publisher: Elsevier B.V.
Citation: Panfilov A. V. (INVITED) Reaction–diffusion waves in cardiovascular diseases / A. V. Panfilov, H. Dierckx, V. Volpert. — DOI 10.1016/j.physd.2019.04.001 // Physica D: Nonlinear Phenomena. — 2019. — Vol. 399. — P. 1-34.
Abstract: Cardiovascular diseases remain one of the largest causes of death worldwide. The lethal pathologies often occur due to atherosclerosis, clot formation and cardiac arrhythmia. It turns out that all these pathologies can be described using the generic framework of multi-component reaction–diffusion equations. These parabolic partial differential equations sustain waves and pattern formation that are relevant in the study of all those processes. Here we present the first review which combines the description of these fields: atherosclerosis, clot formation and cardiac arrhythmias, and includes classic and recent developments in these areas. We show how mathematical models for the underlying physiological processes have been constructed, and which generic properties follow from their analytical or numerical study. Finally, we discuss the possibility of integrative studies of cardiovascular disease which will include both clot formation and cardiac arrhythmias. Such approach will be highly relevant to atrial fibrillation, a common cardiac arrhythmia whose main complication is clot formation and stroke. © 2019 Elsevier B.V.
Keywords: ARRHYTHMIA
ATHEROSCLEROSIS
CARDIOVASCULAR DISEASES
REACTION-DIFFUSION WAVES
THROMBOSIS
CARDIOLOGY
DIFFUSION
HEART
PARTIAL DIFFERENTIAL EQUATIONS
PATHOLOGY
PHYSIOLOGICAL MODELS
ARRHYTHMIA
ATHEROSCLEROSIS
CARDIO-VASCULAR DISEASE
REACTION-DIFFUSION WAVES
THROMBOSIS
DISEASES
URI: http://hdl.handle.net/10995/101763
Access: info:eu-repo/semantics/openAccess
SCOPUS ID: 85065528641
PURE ID: 10470030
b7ba7447-f478-4f5a-953c-9ba438ddfb04
ISSN: 1672789
DOI: 10.1016/j.physd.2019.04.001
Appears in Collections:Научные публикации, проиндексированные в SCOPUS и WoS CC

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