The Mathematics and Mechanics of Biological Growth. 1st ed. 2017

種類:

電子ブック

責任表示:

by Alain Goriely

出版情報:

New York, NY : Springer New York : Imprint: Springer, 2017

著者名:

• Goriely, Alain.
• SpringerLink (Online service)

シリーズ名:

Interdisciplinary Applied Mathematics ; 45

ISBN:

9780387877105 [038787710X]    

注記:

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

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