000 04261nam a22005535i 4500
001 978-0-387-87710-5
003 DE-He213
005 20181204134419.0
007 cr nn 008mamaa
008 170531s2017 xxu| s |||| 0|eng d
020 _a9780387877105
_9978-0-387-87710-5
024 7 _a10.1007/978-0-387-87710-5
_2doi
040 _aISI Library, Kolkata
050 4 _aQH323.5
050 4 _aQH324.2-324.25
072 7 _aPDE
_2bicssc
072 7 _aMAT003000
_2bisacsh
072 7 _aPDE
_2thema
082 0 4 _a570.285
_223
100 1 _aGoriely, Alain.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 4 _aThe Mathematics and Mechanics of Biological Growth
_h[electronic resource] /
_cby Alain Goriely.
264 1 _aNew York, NY :
_bSpringer New York :
_bImprint: Springer,
_c2017.
300 _aXXII, 646 p. 341 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aInterdisciplinary Applied Mathematics,
_x0939-6047 ;
_v45
505 0 _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.
520 _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.
650 0 _aDevelopmental biology.
650 0 _aCell physiology.
650 0 _aMechanics.
650 1 4 _aMathematical and Computational Biology.
_0http://scigraph.springernature.com/things/product-market-codes/M31000
650 2 4 _aBiological and Medical Physics, Biophysics.
_0http://scigraph.springernature.com/things/product-market-codes/P27008
650 2 4 _aDevelopmental Biology.
_0http://scigraph.springernature.com/things/product-market-codes/L18000
650 2 4 _aCell Physiology.
_0http://scigraph.springernature.com/things/product-market-codes/L33010
650 2 4 _aClassical Mechanics.
_0http://scigraph.springernature.com/things/product-market-codes/P21018
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9780387877099
776 0 8 _iPrinted edition:
_z9780387877617
776 0 8 _iPrinted edition:
_z9781493979110
830 0 _aInterdisciplinary Applied Mathematics,
_x0939-6047 ;
_v45
856 4 0 _uhttps://doi.org/10.1007/978-0-387-87710-5
912 _aZDB-2-SMA
942 _cEB
950 _aMathematics and Statistics (Springer-11649)
999 _c427128
_d427128