<EM>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, <EM>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.
CRM Series in Mathematical Physics
Marc Thiriet
Biology and Mechanics of Blood Flows Part I: Biology
123
Marc Thiriet Project-team INRIA-UPMC-CNRS RE O Laboratoire Jacques-Louis Lions, CNRS UMR 7598 Université Pierre et Marie Curie Place Jussieu 4 75252 Paris Cedex 05 France
Editorial Board Joel S. Fieldman Department of Mathematics University of British Columbia Vancouver, British Columbia V6T 1Z2 Canada
[email protected]
Duong H. Phong Department of Mathematics Columbia University New York, NY 10027–0029 USA
[email protected]
Yvan Saint-Aubin Département de Mathématiques et de Statistique Université de Montréal C.P. 6128, Succursale Centre-ville Montréal, Québec H3C 3J7 Canada
[email protected]
Luc Vinet Département de Mathématiques et de Statistique CRM, Université de Montréal C.P. 6128, Succursale Centre-ville Montréal, Québec H3C 3J7 Canada
[email protected]
ISBN: 978-0-387-74846-7 DOI:10.1007/978-0-387-74847-4
e-ISBN: 978-0-387-74847-4
Library of Congress Control Number: 2007935213 c 2008 Springer Science+Business Media, LLC All rights reserved. This work may not be translated or copied in whole or in part without the written permission of the publisher (Springer Science+Business Media, LLC, 233 Spring Street, New York, NY 10013, USA), except for brief excerpts in connection with reviews or scholarly analysis. Use in connection with any form of information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed is forbidden. The use in this publication of trade names, trademarks, service marks, and similar terms, even if they are not identified as such, is not to be taken as an expression of opinion as to whether or not they are subject to proprietary rights. Printed on acid-free paper. 9 8 7 6 5 4 3 2 1 springer.com
Series Preface
The Centre de recherc