The mathematics and mechanics of biological growth

• Verfasst von: Goriely, Alain [VerfasserIn]
• Titel: The mathematics and mechanics of biological growth
• Verf.angabe: Alain Goriely
• Verlagsort: New York, NY
• Verlag: Springer
• E-Jahr: 2017
• Jahr: [2017]
• Umfang: xxii, 646 Seiten
• Illustrationen: Illustrationen, Diagramme
• Gesamttitel/Reihe: Interdisciplinary applied mathematics ; volume 45
• ISBN: 978-0-387-87709-9
• DOI: doi:10.1007/978-0-387-87710-5
• Schlagwörter: (s)Wachstum / (s)Mathematisches Modell
• Sprache: eng
• Bibliogr. Hinweis: Erscheint auch als : Online-Ausgabe: Goriely, Alain: The Mathematics and Mechanics of Biological Growth. - New York, NY : Springer New York, 2017. - Online-Ressource (XXII, 646 p. 341 illus, online resource)
• Bibliogr. Hinweis: Erscheint auch als : Online-Ausgabe: Goriely, Alain: The Mathematics and Mechanics of Biological Growth. - New York, NY : Springer New York, 2017. - 1 Online-Ressource (XXII, 646 p. 341 illus)
• RVK-Notation: WC 7000
• RVK-Notation: WD 3100
• RVK-Notation: SK 990
• K10plus-PPN: 881624861

Abstract

Emphasizing kinematics and mechanics of growth, this book presents the state of knowledge in morpho-elasticity, providing a rigorous foundation and offering a set of mathematical tools for the analysis of specific problems arising in biology.--

Abstract

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