The Mathematics and Mechanics of Biological Growth by Alain Goriely.

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...

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Bibliographic Details
Main Author: Goriely, Alain. (Author,
Corporate Author: SpringerLink (Online service)
Format: eBook
Published: New York, NY : Springer New York : Imprint: Springer, 2017.
Edition:1st ed. 2017.
Series:Interdisciplinary Applied Mathematics, 45
Springer eBook Collection.
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • 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.