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The Mathematics and Mechanics of Biological Growth (Hardcover, 1st ed. 2017)
Loot Price: R6,264
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The Mathematics and Mechanics of Biological Growth (Hardcover, 1st ed. 2017)
Series: Interdisciplinary Applied Mathematics, 45
Expected to ship within 10 - 15 working days
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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 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.
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