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Goriely, Alain

The Mathematics and Mechanics of Biological Growth

Goriely, Alain - The Mathematics and Mechanics of Biological Growth, ebook

169,10€

Ebook, PDF with Adobe DRM
ISBN: 9780387877105
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Table of contents

Part I. Introduction: Where It All Starts

1. Basic Aspects of Growth
Alain Goriely

2. Mechanics and Growth
Alain Goriely

3. Discrete Computational Models
Alain Goriely

Part II. Filament Growth: A One-Dimensional Theory

4. Growing on a Line
Alain Goriely

5. Elastic Rods
Alain Goriely

6. Morphoelastic Rods
Alain Goriely

Part III. Surface Growth: A Two-Dimensional Theory

7. Accretive Growth
Alain Goriely

8. Membranes and Shells
Alain Goriely

9. Growing Membranes
Alain Goriely

10. Morphoelastic Plates
Alain Goriely

Part IV. Volumetric Growth: A Three-Dimensional Theory

11. Nonlinear Elasticity
Alain Goriely

12. The Kinematics of Growth
Alain Goriely

13. Balance Laws
Alain Goriely

14. Evolution Laws and Stability
Alain Goriely

15. Growing Spheres
Alain Goriely

16. Growing Cylinders
Alain Goriely

Part V. Conclusion: Where It Does Not End

17. Ten Challenges
Alain Goriely

Keywords: Mathematics, Mathematical and Computational Biology, Biological and Medical Physics, Biophysics, Developmental Biology, Cell Physiology, Classical Mechanics

Author(s)
Publisher
Springer
Publication year
2017
Language
en
Edition
1
Series
Interdisciplinary Applied Mathematics
Page amount
22 pages
Category
Natural Sciences
Format
Ebook
eISBN (PDF)
9780387877105
Printed ISBN
978-0-387-87709-9

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