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Titlebook: Complex Systems in Biomedicine; Alfio Quarteroni,Luca Formaggia,Alessandro Venezia Book 2006 Springer-Verlag Milan 2006 Approximation.Math

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书目名称Complex Systems in Biomedicine
编辑Alfio Quarteroni,Luca Formaggia,Alessandro Venezia
视频video
概述This is an outstanding overview of the most recent research results of mathematical modeling of human physiology
图书封面Titlebook: Complex Systems in Biomedicine;  Alfio Quarteroni,Luca Formaggia,Alessandro Venezia Book 2006 Springer-Verlag Milan 2006 Approximation.Math
描述Mathematicalmodelingofhumanphysiopathologyisatremendouslyambitioustask. It encompasses the modeling of most diverse compartments such as the cardiovas- lar,respiratory,skeletalandnervoussystems,aswellasthemechanicalandbioch- ical interaction between blood ?ow and arterial walls, and electrocardiac processes and electric conduction in biological tissues. Mathematical models can be set up to simulate both vasculogenesis (the aggregation and organization of endothelial cells dispersed in a given environment) and angiogenesis (the formation of new vessels sprouting from an existing vessel) that are relevant to the formation of vascular networks, and in particular to the description of tumor growth. The integration of models aimed at simulating the cooperation and interrelation of different systems is an even more dif?cult task. It calls for the setting up of, for instance, interaction models for the integrated cardio-vascular system and the interplay between the central circulation and peripheral compartments, models for the mid-to-long range cardiovascular adjustments to pathological conditions (e.g., to account for surgical interventions, congenital malformations, or tumor growth), m
出版日期Book 2006
关键词Approximation; Mathematica; approximation theory; cells; complex systems; complexity; endothelium; geometry
版次1
doihttps://doi.org/10.1007/88-470-0396-2
isbn_softcover978-88-470-1555-5
isbn_ebook978-88-470-0396-5
copyrightSpringer-Verlag Milan 2006
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Paul M. Dunman,Steven J. Projancleation, branching, etc.) and subsequent growth of spatial structures (cells, vessel networks, etc.), both of which, in general, are stochastic in time and space. These structures induce a random division of the relevant spatial region, known as a random tessellation. A quantitative description of
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Jack Nicholson: The Realistic Romantic,is of stresses. Here the question of blood vessel collapse in vascular tumours is treated briefly. Results on the existence of radially- and of non-radially-symmetric solutions are illustrated together with an investigation of their stability. Two sections are devoted to tumour cords (growing direct
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https://doi.org/10.1057/9781137310392ent processes: vasculogenesis and angiogenesis..The former consists in the aggregation and organisation of endothelial cells dispersed in a given environment, the latter in the formation of new vessels sprouting from an existing vessel..The results obtained by the use of the mathematical models are
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Michael Noah Mautner,Simon Parkcal approximation. Delay differential equations provide an important way of describing the time evolution of biological systems whose rate of change also depends on their configuration at previous time instances. As a significant example we review a mathematical model, due to Waltman, which describe
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Michael Noah Mautner,Simon Parktheir numerical simulation. The macroscopic bidomain model of the cardiac tissue is derived by the two-scale homogenization method. Existence and uniqueness results for the cellular and bidomain models are reviewed. A rigorous derivation of the bidomain model is presented in the framework of Г-conve
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