04273nam 2200985z- 450 991055746310332120210501(CKB)5400000000043168(oapen)https://directory.doabooks.org/handle/20.500.12854/68337(oapen)doab68337(EXLCZ)99540000000004316820202105d2021 |y 0engurmn|---annantxtrdacontentcrdamediacrrdacarrierMathematical Modelling in BiomedicineBasel, SwitzerlandMDPI - Multidisciplinary Digital Publishing Institute20211 online resource (224 p.)3-03943-493-4 3-03943-494-2 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.Mathematics & sciencebicsscResearch & information: generalbicssc1D haemodynamicsbradycardiabrain stimulationcardiac fibrosiscardiac mechanicscardiac pacingcardiomyopathiescomputer experimentconstrained optimizationcoronary circulationderivative free optimizationdifferential equationselongated obstacleexcitable mediagenotypegradient descentheart modelingheterogeneityimmune responseintegro-differential equationinterventricular asynchronyleft ventricleleft ventricle remodelinglong QT syndromelumped heart modellymph flowlymph nodeslymphatic vesselsmathematical modelingmathematical modellingmathematical oncologymultiscale modelsmultiscale simulationmyocardiumneural field modelnonlocal interactionparameter estimationpremature ventricular contractionquasi-species diversificationreaction-diffusion-convection equationsresistance to treatmentrotary blood pumpspatially distributed modelingspatially-distributed modelingspiral wavesystole variationstachycardiaviral hepatitisvirus density distributionvirus infectionwave breakwavesMathematics & scienceResearch & information: generalVolpert Vitalyedt60607Volpert VitalyothBOOK9910557463103321Mathematical Modelling in Biomedicine3026549UNINA