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Complex Systems in Biomedicine

  • Book
  • © 2006

Overview

Editors:
  1. Alfio Quarteroni

    1. MOX, Dipartimento di Matematica, Politecnico di Milano, Milan, Italy
      CMCS-IACS, École Polytechnique Fédérale de Lausanne, Lausanne, Switzerland

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    You can also search for this editor in PubMed   Google Scholar

  2. Luca Formaggia

    1. MOX, Dipartimento di Matematica, Politecnico di Milano, Milan, Italy

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  3. Alessandro Veneziani

    1. MOX, Dipartimento di Matematica, Politecnico di Milano, Milan, Italy

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  • This is an outstanding overview of the most recent research results of mathematical modeling of human physiology

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Table of contents (7 chapters)

  1. Front Matter

    Pages I-XIV
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  2. Inverse problems in biomedical imaging: modeling and methods of solution

    • M. Bertero, M. Piana
    Pages 1-33

  3. Stochastic geometry and related statistical problems in biomedicine

    • V. Capasso, A. Micheletti
    Pages 35-69

  4. Mathematical modelling of tumour growth and treatment

    • A. Fasano, A. Bertuzzi, A. Gandolfi
    Pages 71-108

  5. Modelling the formation of capillaries

    • L. Preziosi, S. Astanin
    Pages 109-145

  6. Numerical methods for delay models in biomathematics

    • A. Bellen, N. Guglielmi, S. Maset
    Pages 147-185

  7. Computational electrocardiology: mathematical and numerical modeling

    • P. Colli Franzone, L. F. Pavarino, G. Savaré
    Pages 187-241

  8. The circulatory system: from case studies to mathematical modeling

    • L. Formaggia, A. Quarteroni, A. Veneziani
    Pages 243-287

  9. Back Matter

    Pages 289-292
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Keywords

About this book

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.

Editors and Affiliations

  • MOX, Dipartimento di Matematica, Politecnico di Milano, Milan, Italy

    Alfio Quarteroni, Luca Formaggia, Alessandro Veneziani

  • CMCS-IACS, École Polytechnique Fédérale de Lausanne, Lausanne, Switzerland

    Alfio Quarteroni

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