Complex Systems in Biomedicine
(Sprache: Englisch)
This is a preliminary contribution to a mathematical research field which is growing impetuously and will attract increasing attention from medical researchers in the years to come. In this book the authors have collected the contribution from several...
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This is a preliminary contribution to a mathematical research field which is growing impetuously and will attract increasing attention from medical researchers in the years to come. In this book the authors have collected the contribution from several Italian research groups that are successfully working on this fascinating and challenging field. Every chapter will deal with a specific subfield, with the aim of providing an overview of the subject and an account of the most recent research results.
Klappentext zu „Complex Systems in Biomedicine “
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), models for integration among circulation, tissue perfusion, biochemical and thermal regulation, models for parameter identi?cation and sensitivity analysis to parameter changes or data uncertainty - and many others.
Inhaltsverzeichnis zu „Complex Systems in Biomedicine “
Inverse problems in biomedical imaging: modeling and methods of solution.- Stochastic geometry and related statistical problems in biomedicine.- Mathematical modelling of tumour growth and treatment.- Modelling the formation of capillaries.- Numerical methods for delay models in biomathematics.- Computational electrocardiology: mathematical and numerical modeling.- The circulatory system: from case studies to mathematical modeling.
Bibliographische Angaben
- 2010, Softcover reprint of hardcover 1st ed. 2006, 292 Seiten, Maße: 15,3 x 23,6 cm, Kartoniert (TB), Englisch
- Herausgegeben: A. Quarteroni, L. Formaggia, A. Veneziani
- Verlag: Springer, Berlin
- ISBN-10: 8847015553
- ISBN-13: 9788847015555
Sprache:
Englisch
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