The Mathematics and Mechanics of Biological Growth

Part I. Introduction: Where It All Starts

1. Basic Aspects of Growth
Alain Goriely

2. Mechanics and Growth
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3. Discrete Computational Models
Alain Goriely

Part II. Filament Growth: A One-Dimensional Theory

4. Growing on a Line
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5. Elastic Rods
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6. Morphoelastic Rods
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Part III. Surface Growth: A Two-Dimensional Theory

7. Accretive Growth
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8. Membranes and Shells
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9. Growing Membranes
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10. Morphoelastic Plates
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Part IV. Volumetric Growth: A Three-Dimensional Theory

11. Nonlinear Elasticity
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12. The Kinematics of Growth
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13. Balance Laws
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14. Evolution Laws and Stability
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15. Growing Spheres
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16. Growing Cylinders
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Part V. Conclusion: Where It Does Not End

17. Ten Challenges
Alain Goriely

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