LEADER 04095nam 22006735 450 001 9910254278903321 005 20251202121223.0 010 $a0-387-87710-X 024 7 $a10.1007/978-0-387-87710-5 035 $a(CKB)3710000001389940 035 $a(DE-He213)978-0-387-87710-5 035 $a(MiAaPQ)EBC4867945 035 $a(PPN)201469227 035 $a(EXLCZ)993710000001389940 100 $a20170531d2017 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 14$aThe Mathematics and Mechanics of Biological Growth /$fby Alain Goriely 205 $a1st ed. 2017. 210 1$aNew York, NY :$cSpringer New York :$cImprint: Springer,$d2017. 215 $a1 online resource (XXII, 646 p. 341 illus.) 225 1 $aInterdisciplinary Applied Mathematics,$x2196-9973 ;$v45 311 08$a0-387-87709-6 320 $aIncludes bibliographical references and index. 327 $aBasic 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. 330 $aThis monograph presents a general mechanical theory for biological growth. It provides both a conceptual and a technical foundation for the understanding and analysis of problems arising in biology and physiology. The theory and methods is illustrated on a wide range of examples and applications. A process of extreme complexity, growth plays a fundamental role in many biological processes and is considered to be the hallmark of life itself. Its description has been one of the fundamental problems of life sciences, but until recently, it has not attracted much attention from mathematicians, physicists, and engineers. The author herein presents the first major technical monograph on the problem of growth since D?Arcy Wentworth Thompson?s 1917 book On Growth and Form. The emphasis of the book is on the proper mathematical formulation of growth kinematics and mechanics. Accordingly, the discussion proceeds in order of complexity and the book is divided into fiveparts. First, a general introduction on the problem of growth from a historical perspective is given. Then, basic concepts are introduced within the context of growth in filamentary structures. These ideas are then generalized to surfaces and membranes and eventually to the general case of volumetric growth. The book concludes with a discussion of open problems and outstanding challenges. Thoughtfully written and richly illustrated to be accessible to readers of varying interests and background, the text will appeal to life scientists, biophysicists, biomedical engineers, and applied mathematicians alike. 410 0$aInterdisciplinary Applied Mathematics,$x2196-9973 ;$v45 606 $aBiomathematics 606 $aBiophysics 606 $aDevelopmental biology 606 $aCytology 606 $aMechanics 606 $aMathematical and Computational Biology 606 $aBiophysics 606 $aDevelopmental Biology and Stem Cells 606 $aCell Biology 606 $aClassical Mechanics 615 0$aBiomathematics. 615 0$aBiophysics. 615 0$aDevelopmental biology. 615 0$aCytology. 615 0$aMechanics. 615 14$aMathematical and Computational Biology. 615 24$aBiophysics. 615 24$aDevelopmental Biology and Stem Cells. 615 24$aCell Biology. 615 24$aClassical Mechanics. 676 $a570.151 700 $aGoriely$b Alain$4aut$4http://id.loc.gov/vocabulary/relators/aut$0532712 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910254278903321 996 $aMathematics and mechanics of biological growth$91560430 997 $aUNINA