The Mathematics and Mechanics of Biological Growth 1st Edition Alain Goriely 038787710X 9780387877105

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Product details:

• ISBN 10: 038787710X
• ISBN 13: 9780387877105
• Author: Alain Goriely

This monograph presents a general mathematical 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 are 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.

Table of contents:

Part I Introduction: Where It All Starts

1 Basic Aspects of Growth

2 Mechanics and Growth

3 Discrete Computational Models

Part II Filament Growth: A One-Dimensional Theory

4 Growing on a Line

5 Elastic Rods

6 Morphoelastic Rods

Part III Surface Growth: A Two-Dimensional Theory

7 Accretive Growth

8 Membranes and Shells

9 Growing Membranes

10 Morphoelastic Plates

11 Nonlinear Elasticity

12 The Kinematics of Growth

13 Balance Laws

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