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A process of extreme complexity, growth plays a fundamental role in many biological processes and is considered to be the hallmark of life itself. Its description has been one of the fundamental problems of life sciences, but until recently, it has not attracted much attention from mathematicians, physicists, and engineers. The author herein presents the first major technical monograph on the problem of growth since D¿Arcy Wentworth Thompson¿s 1917 book On Growth and Form.
The emphasis of the book is on the proper mathematical formulation of growth kinematics and mechanics. Accordingly, the discussion proceeds in order of complexity and the book is divided into five parts. First, a general introduction on the problem of growth from a historical perspective is given. Then, basic concepts are introduced within the context of growth in filamentary structures. These ideas are then generalized to surfaces and membranes and eventually to the general case of volumetric growth. The book concludes with a discussion of open problems and outstanding challenges.
Thoughtfully written and richly illustrated to be accessible to readers of varying interests and background, the text will appeal to life scientists, biophysicists, biomedical engineers, and applied mathematicians alike.
A process of extreme complexity, growth plays a fundamental role in many biological processes and is considered to be the hallmark of life itself. Its description has been one of the fundamental problems of life sciences, but until recently, it has not attracted much attention from mathematicians, physicists, and engineers. The author herein presents the first major technical monograph on the problem of growth since D¿Arcy Wentworth Thompson¿s 1917 book On Growth and Form.
The emphasis of the book is on the proper mathematical formulation of growth kinematics and mechanics. Accordingly, the discussion proceeds in order of complexity and the book is divided into five parts. First, a general introduction on the problem of growth from a historical perspective is given. Then, basic concepts are introduced within the context of growth in filamentary structures. These ideas are then generalized to surfaces and membranes and eventually to the general case of volumetric growth. The book concludes with a discussion of open problems and outstanding challenges.
Thoughtfully written and richly illustrated to be accessible to readers of varying interests and background, the text will appeal to life scientists, biophysicists, biomedical engineers, and applied mathematicians alike.
Presents a mathematical theory to quantify and model biological growth processes
Shows how mechanics and geometry are coupled during growth and how complex forms and morphological patterns may arise due to instabilities
Illustrated with simple examples and detailed biological applications
Includes supplementary material: [...]
| Erscheinungsjahr: | 2017 |
|---|---|
| Fachbereich: | Allgemeines |
| Genre: | Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Buch |
| Reihe: | Interdisciplinary Applied Mathematics |
| Inhalt: |
xxii
646 S. 341 s/w Illustr. 646 p. 341 illus. |
| ISBN-13: | 9780387877099 |
| ISBN-10: | 0387877096 |
| Sprache: | Englisch |
| Herstellernummer: | 978-0-387-87709-9 |
| Ausstattung / Beilage: | HC runder Rücken kaschiert |
| Einband: | Gebunden |
| Autor: | Goriely, Alain |
| Auflage: | 1st ed. 2017 |
| Hersteller: |
Springer US
Springer New York Springer US, New York, N.Y. Interdisciplinary Applied Mathematics |
| Maße: | 241 x 160 x 42 mm |
| Von/Mit: | Alain Goriely |
| Erscheinungsdatum: | 31.05.2017 |
| Gewicht: | 1,156 kg |
Presents a mathematical theory to quantify and model biological growth processes
Shows how mechanics and geometry are coupled during growth and how complex forms and morphological patterns may arise due to instabilities
Illustrated with simple examples and detailed biological applications
Includes supplementary material: [...]
| Erscheinungsjahr: | 2017 |
|---|---|
| Fachbereich: | Allgemeines |
| Genre: | Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Buch |
| Reihe: | Interdisciplinary Applied Mathematics |
| Inhalt: |
xxii
646 S. 341 s/w Illustr. 646 p. 341 illus. |
| ISBN-13: | 9780387877099 |
| ISBN-10: | 0387877096 |
| Sprache: | Englisch |
| Herstellernummer: | 978-0-387-87709-9 |
| Ausstattung / Beilage: | HC runder Rücken kaschiert |
| Einband: | Gebunden |
| Autor: | Goriely, Alain |
| Auflage: | 1st ed. 2017 |
| Hersteller: |
Springer US
Springer New York Springer US, New York, N.Y. Interdisciplinary Applied Mathematics |
| Maße: | 241 x 160 x 42 mm |
| Von/Mit: | Alain Goriely |
| Erscheinungsdatum: | 31.05.2017 |
| Gewicht: | 1,156 kg |
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