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Mathematical Modelling in Biomedicine
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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.
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Keywords
- 1D haemodynamics
- bradycardia
- Brain stimulation
- cardiac fibrosis
- cardiac mechanics
- cardiac pacing
- cardiomyopathies
- computer experiment
- Constrained optimization
- coronary circulation
- derivative free optimization
- Differential equations
- elongated obstacle
- excitable media
- genotype
- gradient descent
- heart modeling
- heterogeneity
- Immune response
- integro-differential equation
- interventricular asynchrony
- left ventricle
- left ventricle remodeling
- long QT syndrome
- lumped heart model
- lymph flow
- lymph nodes
- Lymphatic Vessels
- mathematical modeling
- mathematical modelling
- mathematical oncology
- Mathematics & science
- multiscale models
- multiscale simulation
- Myocardium
- neural field model
- nonlocal interaction
- Parameter estimation
- premature ventricular contraction
- quasi-species diversification
- reaction-diffusion-convection equations
- Reference, information & interdisciplinary subjects
- Research & information: general
- resistance to treatment
- rotary blood pump
- spatially distributed modeling
- spatially-distributed modeling
- spiral wave
- systole variations
- tachycardia
- viral hepatitis
- virus density distribution
- Virus infection
- wave break
- Waves
Links
DOI: 10.3390/books978-3-03943-494-7Editions