Mathematical Modelling in Biomedicine
Volpert, Vitaly
Mathematical Modelling in Biomedicine - Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute 2021 - 1 electronic resource (224 p.)
Open Access
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.
Creative Commons
English
books978-3-03943-494-7 9783039434930 9783039434947
10.3390/books978-3-03943-494-7 doi
Research & information: general
Mathematics & science
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
Mathematical Modelling in Biomedicine - Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute 2021 - 1 electronic resource (224 p.)
Open Access
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.
Creative Commons
English
books978-3-03943-494-7 9783039434930 9783039434947
10.3390/books978-3-03943-494-7 doi
Research & information: general
Mathematics & science
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