Complex Systems in Biomedicine

A. Quarteroni, L. Formaggia, A. Veneziani (Herausgeber)

Buch | Softcover

292 Seiten

2010 | Softcover reprint of hardcover 1st ed. 2006
Springer Verlag
978-88-470-1555-5 (ISBN)

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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.

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.

Zusatzinfo	XIV, 292 p.
Verlagsort	Milan
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Informatik ► Theorie / Studium
	Informatik ► Weitere Themen ► Bioinformatik
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Medizin / Pharmazie ► Medizinische Fachgebiete ► Biomedizin
	Medizin / Pharmazie ► Physiotherapie / Ergotherapie ► Orthopädie
	Naturwissenschaften ► Biologie
	Technik ► Maschinenbau
	Technik ► Medizintechnik
ISBN-10	88-470-1555-3 / 8847015553
ISBN-13	978-88-470-1555-5 / 9788847015555
Zustand	Neuware