The Mathematics and Mechanics of Biological Growth

• Κύριος συγγραφέας: Goriely, Alain (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: New York, NY : Springer New York : Imprint: Springer, 2017.
• Σειρά: Interdisciplinary Applied Mathematics, 45
• Θέματα: 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...

Πίνακας περιεχομένων:

• 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.