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Mathematical Modelling in Biomedicine

dc.contributor.editorVolpert, Vitaly
dc.date.accessioned2021-05-01T15:07:12Z
dc.date.available2021-05-01T15:07:12Z
dc.date.issued2021
dc.identifierONIX_20210501_9783039434930_81
dc.identifier.urihttps://directory.doabooks.org/handle/20.500.12854/68337
dc.description.abstractMathematical modelling in biomedicine is a rapidly developing scientific discipline at the intersection of medicine, biology, mathematics, physics, and computer science. Its progress is stimulated by fundamental scientific questions and by the applications to public health. This book represents a collection of papers devoted to mathematical modelling of various physiological problems in normal and pathological conditions. It covers a broad range of topics including cardiovascular system and diseases, heart and brain modelling, tumor growth, viral infections, and immune response. Computational models of blood circulation are used to study the influence of heart arrhythmias on coronary blood flow and on operating modes for left-ventricle-assisted devices. Wave propagation in the cardiac tissue is investigated in order to show the influence of tissue heterogeneity and fibrosis. The models of tumor growth are used to determine optimal protocols of antiangiogenic and radiotherapy. The models of viral hepatitis kinetics are considered for the parameter identification, and the evolution of viral quasi-species is investigated. The book presents the state-of-the-art in mathematical modelling in biomedicine and opens new perspectives in this passionate field of research.
dc.languageEnglish
dc.subject.classificationthema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: generalen_US
dc.subject.classificationthema EDItEUR::P Mathematics and Scienceen_US
dc.subject.othervirus density distribution
dc.subject.othergenotype
dc.subject.othervirus infection
dc.subject.otherimmune response
dc.subject.otherresistance to treatment
dc.subject.othernonlocal interaction
dc.subject.otherquasi-species diversification
dc.subject.othermathematical oncology
dc.subject.otherspatially distributed modeling
dc.subject.otherreaction-diffusion-convection equations
dc.subject.othercomputer experiment
dc.subject.otherspiral wave
dc.subject.otherheterogeneity
dc.subject.otherheart modeling
dc.subject.othermyocardium
dc.subject.otherleft ventricle
dc.subject.otherneural field model
dc.subject.otherintegro-differential equation
dc.subject.otherwaves
dc.subject.otherbrain stimulation
dc.subject.othermathematical modeling
dc.subject.othercardiac mechanics
dc.subject.othermultiscale simulation
dc.subject.othercardiomyopathies
dc.subject.otherleft ventricle remodeling
dc.subject.otherspatially-distributed modeling
dc.subject.othergradient descent
dc.subject.other1D haemodynamics
dc.subject.othersystole variations
dc.subject.othercoronary circulation
dc.subject.othercardiac pacing
dc.subject.othertachycardia
dc.subject.otherbradycardia
dc.subject.otherinterventricular asynchrony
dc.subject.otherlong QT syndrome
dc.subject.otherpremature ventricular contraction
dc.subject.otherrotary blood pump
dc.subject.otherlumped heart model
dc.subject.othercardiac fibrosis
dc.subject.otherexcitable media
dc.subject.otherwave break
dc.subject.otherelongated obstacle
dc.subject.otherlymph flow
dc.subject.othermathematical modelling
dc.subject.otherlymphatic vessels
dc.subject.otherlymph nodes
dc.subject.otherparameter estimation
dc.subject.otherconstrained optimization
dc.subject.otherderivative free optimization
dc.subject.othermultiscale models
dc.subject.otherdifferential equations
dc.subject.otherviral hepatitis
dc.titleMathematical Modelling in Biomedicine
dc.typebook
oapen.identifier.doi10.3390/books978-3-03943-494-7
oapen.relation.isPublishedBy46cabcaa-dd94-4bfe-87b4-55023c1b36d0
oapen.relation.isbn9783039434930
oapen.relation.isbn9783039434947
oapen.pages224
oapen.place.publicationBasel, Switzerland


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