书目名称 | The Mathematics and Mechanics of Biological Growth |
编辑 | Alain Goriely |
视频video | http://file.papertrans.cn/914/913749/913749.mp4 |
概述 | 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 d |
丛书名称 | Interdisciplinary Applied Mathematics |
图书封面 |  |
描述 | .This monograph presents a general mathematical 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 are illustrated on a wide range of examples and applications..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 gener |
出版日期 | Book 2017 |
关键词 | Biological growth; Filament growth; Balance laws; Volumetric growth; Evolution laws; Mathematical biology |
版次 | 1 |
doi | https://doi.org/10.1007/978-0-387-87710-5 |
isbn_softcover | 978-1-4939-7911-0 |
isbn_ebook | 978-0-387-87710-5Series ISSN 0939-6047 Series E-ISSN 2196-9973 |
issn_series | 0939-6047 |
copyright | Springer Science+Business Media LLC 2017 |