國立虎尾科技大學 |

The mathematics and mechanics of biological growth

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	The mathematics and mechanics of biological growth/ by Alain Goriely.
作者:	Goriely, Alain.
出版者:	New York, NY :Springer New York : : 2017.,
面頁冊數:	xxii, 646 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
標題:	Biomathematics. -
電子資源:	http://dx.doi.org/10.1007/978-0-387-87710-5
ISBN:	9780387877105

The mathematics and mechanics of biological growth
Goriely, Alain.

The mathematics and mechanics of biological growth[electronic resource] /by Alain Goriely. - New York, NY :Springer New York :2017. - xxii, 646 p. :ill., digital ;24 cm. - Interdisciplinary applied mathematics,v.450939-6047 ;. - Interdisciplinary applied mathematics ;38..

Basic aspects of growth -- Mechanics and growth -- Discrete computational models -- Growing on a line -- Elastic rods -- Morphoelastic rods -- Accretive growth -- Membranes and shells -- Growing membranes -- Morphoelastic plates -- Nonlinear elasticity -- The kinematics of growth -- Balance laws -- Evolution laws and stability -- Growing spheres -- Growing cylinders -- Ten challenges -- References -- Index.

This monograph presents a general mechanical theory for biological growth. It provides both a conceptual and a technical foundation for the understanding and analysis of problems arising in biology and physiology. The theory and methods is illustrated on a wide range of examples and applications. A process of extreme complexity, growth plays a fundamental role in many biological processes and is considered to be the hallmark of life itself. Its description has been one of the fundamental problems of life sciences, but until recently, it has not attracted much attention from mathematicians, physicists, and engineers. The author herein presents the first major technical monograph on the problem of growth since D'Arcy Wentworth Thompson's 1917 book On Growth and Form. The emphasis of the book is on the proper mathematical formulation of growth kinematics and mechanics. Accordingly, the discussion proceeds in order of complexity and the book is divided into five parts. First, a general introduction on the problem of growth from a historical perspective is given. Then, basic concepts are introduced within the context of growth in filamentary structures. These ideas are then generalized to surfaces and membranes and eventually to the general case of volumetric growth. The book concludes with a discussion of open problems and outstanding challenges. Thoughtfully written and richly illustrated to be accessible to readers of varying interests and background, the text will appeal to life scientists, biophysicists, biomedical engineers, and applied mathematicians alike.

ISBN: 9780387877105

Standard No.: 10.1007/978-0-387-87710-5doiSubjects--Topical Terms:

527725
Biomathematics.

LC Class. No.: QH323.5 / .G67 2017

Dewey Class. No.: 570.151

The mathematics and mechanics of biological growth
LDR:03020nam a2200325 a 4500 001 885514
003 DE-He213
005 20170531045122.0
006 m d
007 cr nn 008maaau
008 180530s2017 nyu s 0 eng d
020 $a 9780387877105 $q (electronic bk.)
020 $a 9780387877099 $q (paper)
024 7 $a 10.1007/978-0-387-87710-5 $2 doi
035 $a 978-0-387-87710-5
040 $a GP $c GP
041 0 $a eng
050 4 $a QH323.5 $b .G67 2017
072 7 $a PDE $2 bicssc
072 7 $a MAT003000 $2 bisacsh
082 0 4 $a 570.151 $2 23
090 $a QH323.5 $b .G669 2017
100 1 $a Goriely, Alain. $3 1142740
245 1 4 $a The mathematics and mechanics of biological growth $h [electronic resource] / $c by Alain Goriely.
260 $a New York, NY : $b Springer New York : $b Imprint: Springer, $c 2017.
300 $a xxii, 646 p. : $b ill., digital ; $c 24 cm.
490 1 $a Interdisciplinary applied mathematics, $x 0939-6047 ; $v v.45
505 0 $a Basic aspects of growth -- Mechanics and growth -- Discrete computational models -- Growing on a line -- Elastic rods -- Morphoelastic rods -- Accretive growth -- Membranes and shells -- Growing membranes -- Morphoelastic plates -- Nonlinear elasticity -- The kinematics of growth -- Balance laws -- Evolution laws and stability -- Growing spheres -- Growing cylinders -- Ten challenges -- References -- Index.
520 $a This monograph presents a general mechanical theory for biological growth. It provides both a conceptual and a technical foundation for the understanding and analysis of problems arising in biology and physiology. The theory and methods is illustrated on a wide range of examples and applications. A process of extreme complexity, growth plays a fundamental role in many biological processes and is considered to be the hallmark of life itself. Its description has been one of the fundamental problems of life sciences, but until recently, it has not attracted much attention from mathematicians, physicists, and engineers. The author herein presents the first major technical monograph on the problem of growth since D'Arcy Wentworth Thompson's 1917 book On Growth and Form. The emphasis of the book is on the proper mathematical formulation of growth kinematics and mechanics. Accordingly, the discussion proceeds in order of complexity and the book is divided into five parts. First, a general introduction on the problem of growth from a historical perspective is given. Then, basic concepts are introduced within the context of growth in filamentary structures. These ideas are then generalized to surfaces and membranes and eventually to the general case of volumetric growth. The book concludes with a discussion of open problems and outstanding challenges. Thoughtfully written and richly illustrated to be accessible to readers of varying interests and background, the text will appeal to life scientists, biophysicists, biomedical engineers, and applied mathematicians alike.
650 0 $a Biomathematics. $3 527725
650 0 $a Growth $x Mathematics. $3 1142741
650 0 $a Developmental biology $x Mathematics. $3 1142742
650 0 $a Biomechanics. $3 565307
650 1 4 $a Mathematics. $3 527692
650 2 4 $a Mathematical and Computational Biology. $3 786706
650 2 4 $a Biological and Medical Physics, Biophysics. $3 1113305
650 2 4 $a Developmental Biology. $3 668567
650 2 4 $a Cell Physiology. $3 591630
650 2 4 $a Classical Mechanics. $3 1140387
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer eBooks
830 0 $a Interdisciplinary applied mathematics ; $v 38. $3 884935
856 4 0 $u http://dx.doi.org/10.1007/978-0-387-87710-5
950 $a Mathematics and Statistics (Springer-11649)