© 2008

Biology and Mechanics of Blood Flows

Part I: Biology

  • Multidisciplinary approach starting from the description of accumulated knowledge on the biology of the cardiovascular system to the numerical simulation of flows in the vasculature, incorporating rheology and mechanical data

  • Applications of modeling and simulations on health problems as well as therapeutic strategies

  • State of the art in applied mathematics to physiological flows

  • Biological and mechanical glossaries for easy reading


Part of the CRM Series in Mathematical Physics book series (CRM)

Table of contents

  1. Front Matter
    Pages I-XIX
  2. Pages 7-56
  3. Pages 155-233
  4. Pages 265-294
  5. Pages 295-358
  6. Pages 359-393
  7. Pages 395-433
  8. Back Matter
    Pages 489-657

About this book


Biology and Mechanics of Blood Flows presents the basic knowledge and state-of-the-art techniques necessary to carry out investigations of the cardiovascular system using modeling and simulation. Part I of this two-volume sequence, Biology, addresses the nanoscopic and microscopic scales. The nanoscale corresponds to the scale of biochemical reaction cascades involved in cell adaptation to mechanical stresses among other stimuli. The microscale is the scale of stress-induced tissue remodeling associated with acute or chronic loadings. The cardiovascular system, like any physiological system, has a complicated three-dimensional structure and composition. Its time dependent behavior is regulated, and this complex system has many components. In this authoritative work, the author provides a survey of relevant cell components and processes, with detailed coverage of the electrical and mechanical behaviors of vascular cells, tissues, and organs. Because the behaviors of vascular cells and tissues are tightly coupled to the mechanics of flowing blood, the major features of blood flows and the Navier-Stokes equations of mass and momentum conservation are introduced at the conclusion of this volume. This book will appeal to any biologist, chemist, physicist, or applied mathematician with an interest in the functioning of the cardiovascular system.


biochemical reaction cardiovascular cells endothelium microscopic nanoscopic tissue tissue remodeling

Authors and affiliations

  1. 1.Project-team INRIA-UPMC-CNRS REO Laboratoire Jacques-Louis Lions, CNRS UMR 7598Université Pierre et Marie CurieParis Cedex 05France

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