Read e-book online Cardiovascular Solid Mechanics: Cells, Tissues, and Organs PDF

By Jay D. Humphrey

ISBN-10: 038721576X

ISBN-13: 9780387215761

ISBN-10: 0387951687

ISBN-13: 9780387951683

ISBN-10: 1441928979

ISBN-13: 9781441928979

The power of the cardiovascular process, which is composed of the center, vas­ culature, and blood, relies on its reaction to a bunch of advanced stimuli, together with organic, chemical, electric, mechanical, and thermal. the point of interest of this publication, notwithstanding, is at the reaction of the guts and arteries to mechanical rather a lot from the viewpoint of nonlinear reliable mechanics. via my very own learn during this box, i've got come to achieve that learn­ ing the complicated responses of cardiovascular cells, tissues, and organs nec­ essarily calls for a mixed theoretical, experimental, and computational procedure. thought is required to lead the functionality and interpretation of experiments in addition to to synthesize the consequences; scan is required to review the responses of the procedure to well-controlled lots and to check can­ didate hypotheses and theories; and thanks to the geometric and fabric non­ linearities inherent to cardiovascular mechanics, computation is required to research facts in addition to to resolve boundary and preliminary worth difficulties that correspond to both experimental or in vivo stipulations. one of many basic targets of this publication is to introduce jointly easy analytical, experimental, and computational tools and to demonstrate how those tools can and has to be built-in to achieve a extra whole knowing of the bio­ mechanics of the center and vasculature. regardless of the focal point on cardiovascu­ lar mechanics, the elemental tools, certainly some of the particular effects, are regularly acceptable to many alternative delicate tissues.

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Extra resources for Cardiovascular Solid Mechanics: Cells, Tissues, and Organs

Sample text

Robert L, W Hornbeck (1989) Elastin and Elastases. Voll. CRC Press, Boca Raton, FL. Roy CS (1880) The elastic properties of the arterial wall. Philos Trans R Soc Lond [Bioi] 99:1-31. Russell B (1945) A History of Western Philosophy. Simon & Schuster, NY. Skalak R (1990) Biomechanics of blood cells: a historical perspective. In: Biological Flows (MY Jaffrin, CG Caro, eds). Plenum Press, New York, pp. 1-10. Struik DJ (1987) A Concise History of Mathematics. Dover, New York. Ten Cate AR, DA Deporter (1975) The degradative role of the fibroblast in the remodelling and turnover of collagen in soft connective tissue.

An understanding of the ideas presented in this chapter is sufficient for embarking on the subsequent chapters in this text, but the interested reader is encouraged to consult more complete sources: Bowen and Wang (1976), Simmonds (1982), Golub and van Loan (1983), and Knowles (1998) as well as selected chapters in Malvern (1969), Chadwick (1976), Gurtin (1981), and Antman (1995). 1 A Direct Notation A vector is a mathematical quantity possessing characteristics of magnitude and direction. For this reason, vectors are often represented by arrows, the length of which denotes the magnitude.

Two vectors, u and v, are said to be orthogonal if u·v= 0. 3 reveal that two vectors can "operate" on one another to yield a scalar, a new vector, or a second-order tensor. Higher order tensors, as, for example, the third-order tensor u ® v ® w, are equally easy to obtain. Recall that the dot product commutes, that is, u·v = v·u. 5) u® v:t. v® u. 6) In contrast, and in general, The tensor product, though as straightforward to use as the scalar and vector products, tends to be less familiar to many students of engineering and medicine.

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Cardiovascular Solid Mechanics: Cells, Tissues, and Organs by Jay D. Humphrey


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