Mathematical Modelling in Biomedicine

Mathematical Modelling in Biomedicine

Mathematical 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 co...

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Sonstige:
Volpert, Vitaly
Year of Publication:2021
Language:English
Physical Description:1 electronic resource (224 p.)
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spelling Volpert, Vitaly edt
Mathematical Modelling in Biomedicine
Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute 2021
1 electronic resource (224 p.)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
Mathematical 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.
English
Research & information: general bicssc
Mathematics & science bicssc
virus density distribution
genotype
virus infection
immune response
resistance to treatment
nonlocal interaction
quasi-species diversification
mathematical oncology
spatially distributed modeling
reaction-diffusion-convection equations
computer experiment
spiral wave
heterogeneity
heart modeling
myocardium
left ventricle
neural field model
integro-differential equation
waves
brain stimulation
mathematical modeling
cardiac mechanics
multiscale simulation
cardiomyopathies
left ventricle remodeling
spatially-distributed modeling
gradient descent
1D haemodynamics
systole variations
coronary circulation
cardiac pacing
tachycardia
bradycardia
interventricular asynchrony
long QT syndrome
premature ventricular contraction
rotary blood pump
lumped heart model
cardiac fibrosis
excitable media
wave break
elongated obstacle
lymph flow
mathematical modelling
lymphatic vessels
lymph nodes
parameter estimation
constrained optimization
derivative free optimization
multiscale models
differential equations
viral hepatitis
3-03943-493-4
3-03943-494-2
Volpert, Vitaly oth
language English
format eBook
author2 Volpert, Vitaly
author_facet Volpert, Vitaly
author2_variant v v vv
author2_role Sonstige
title Mathematical Modelling in Biomedicine
spellingShingle Mathematical Modelling in Biomedicine
title_full Mathematical Modelling in Biomedicine
title_fullStr Mathematical Modelling in Biomedicine
title_full_unstemmed Mathematical Modelling in Biomedicine
title_auth Mathematical Modelling in Biomedicine
title_new Mathematical Modelling in Biomedicine
title_sort mathematical modelling in biomedicine
publisher MDPI - Multidisciplinary Digital Publishing Institute
publishDate 2021
physical 1 electronic resource (224 p.)
isbn 3-03943-493-4
3-03943-494-2
illustrated Not Illustrated
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author2_original_writing_str_mv noLinkedField
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