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| 001 | 16080 | ||
| 009 | 201469227 | ||
| 003 | http://www.sudoc.fr/201469227 | ||
| 005 | 20250630092557.0 | ||
| 010 | _a9780387877105 | ||
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_a10.1007/978-0-387-87710-5 _2DOI |
| 090 | _a16080 | ||
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| 181 |
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_6z01 _ab |
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| 183 | 1 |
_6z01 _aceb _2RDAfrCarrier |
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| 200 | 1 |
_aThe Mathematics and Mechanics of Biological Growth _fby Alain Goriely. |
|
| 214 | 0 |
_aNew York, NY _cSpringer New York _cImprint: Springer _d2017 |
|
| 225 | 0 |
_aInterdisciplinary Applied Mathematics _v45 _x0939-6047 |
|
| 230 | _aDonnées textuelles | ||
| 327 | 1 |
_aBasic aspects of growth _aMechanics and growth _aDiscrete computational models _aGrowing on a line _aElastic rods _aMorphoelastic rods _aAccretive growth _aMembranes and shells _aGrowing membranes _aMorphoelastic plates _aNonlinear elasticity _aThe kinematics of growth _aBalance laws _aEvolution laws and stability _aGrowing spheres _aGrowing cylinders _aTen challenges _aReferences _aIndex. |
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| 330 | _aThis monograph presents a general mechanical 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 is 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. | ||
| 337 | _aNécessite un lecteur de fichier PDF | ||
| 371 | 0 | _aL'accès complet à la ressource est réservé aux usagers des établissements qui en ont fait l'acquisition | |
| 410 |
_0013577921 _tInterdisciplinary applied mathematics _x0939-6047 _v45 |
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| 452 |
_0219889465 _tThe Mathematics and Mechanics of Biological Growth _fby Alain Goriely _p1 vol. (646p.) _sInterdisciplinary Applied Mathematics |
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| 606 |
_aMathematics. _2lc |
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| 606 |
_aBiomathematics. _2lc |
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| 606 |
_aCell physiology. _2lc |
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| 606 |
_aDevelopmental biology. _2lc |
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| 606 |
_aMechanics. _2lc |
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| 615 |
_aMathematics and Statistics _n11649 _2Springer |
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| 676 |
_a570.285 _v23 |
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| 680 | _aQH323.5 | ||
| 680 | _aQH324.2-324.25 | ||
| 700 | 1 |
_3219893756 _aGoriely _bAlain _f19..-.... _cmathématicien _4070 |
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| 856 | 4 |
_qPDF _uhttp://dx.doi.org/10.1007/978-0-387-87710-5 _wDonnées éditeur |
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| 856 | 4 |
_qPDF _uhttps://doi.org/10.1007/978-0-387-87710-5 _wDonnées éditeur |
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