The Mathematics and Mechanics of Biological Growth

• Main Author: Goriely, Alain (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York : Imprint: Springer, 2017.
• Series: Interdisciplinary Applied Mathematics, 45
• Subjects: Mathematics.; Cell physiology.; Developmental biology.; Biomathematics.; Mathematical and Computational Biology.; Biological and Medical Physics, Biophysics.; Developmental Biology.; Cell Physiology.; Classical Mechanics.

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...

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.