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001 978-1-4614-6928-5
003 DE-He213
005 20140220082827.0
007 cr nn 008mamaa
008 130417s2013 xxu| s |||| 0|eng d
020 _a9781461469285
_9978-1-4614-6928-5
024 7 _a10.1007/978-1-4614-6928-5
_2doi
050 4 _aQH323.5
050 4 _aQH324.2-324.25
072 7 _aPDE
_2bicssc
072 7 _aMAT003000
_2bisacsh
082 0 4 _a570.285
_223
100 1 _aLouie, A. H.
_eauthor.
245 1 4 _aThe Reflection of Life
_h[electronic resource] :
_bFunctional Entailment and Imminence in Relational Biology /
_cby A. H. Louie.
264 1 _aNew York, NY :
_bSpringer New York :
_bImprint: Springer,
_c2013.
300 _aXXXII, 243 p. 83 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aIFSR International Series on Systems Science and Engineering,
_x1574-0463 ;
_v29
505 0 _aMapping Origins -- From Points to Sets -- Principles of Set-Valued Mappings -- Censusing Independence -- Set-Valued Mappings Redux -- The Logic of Entailment -- The Imminence Mapping -- Imminence of Life -- Imminence in Models -- Connections -- Symbiosis -- Pathophysiology -- Relational Virology -- Therapeutics.
520 _aA. H. Louie’s The Reflection of Life: Functional Entailment and Imminence in Relational Biology is a continuation of the exploratory journey in relational biology which began with his 2009 monograph More Than Life Itself: A Synthetic Continuation in Relational Biology. The theme of his first book was ‘What is life?’; the theme of this sequel is “How do two life forms interact?” Biology is a subject concerned with organization of relations. Relational biology is the approach that advocates ‘function dictates structure”, rather than ‘structure implies function’. It is mathematics decoded into biological realizations. The book demonstrates some of the powers of the approach of relational biology, and illustrates how pertinent problems in biology can be better addressed this way. In the first volume the theory was developed by using partially ordered sets, lattices, simulations, models, Aristotle’s four causes, graphs, categories, simple and complex systems, anticipatory systems, and metabolism-repair [(M,R)-] systems. Here in the second volume, these tools are expanded to employ set-valued mappings, adjacency matrices, random graphs, and interacting entailment networks. The theory of set-valued mappings culminates in the imminence mapping, which equips the further  investigation of functional entailment in complex relational networks. Imminence in (M,R)-networks that model living systems addresses the topics of biogenesis and natural selection. Interacting (M,R)-networks with mutually entailing processes serve as  models in the study of symbiosis and pathophysiology. The formalism also provides a natural framework for a relational theory of virology and oncology. This book will serve researchers and graduate students in mathematics and biology.
650 0 _aMathematics.
650 0 _aBiological models.
650 0 _aAlgebra.
650 0 _aFunctional analysis.
650 1 4 _aMathematics.
650 2 4 _aMathematical and Computational Biology.
650 2 4 _aFunctional Analysis.
650 2 4 _aGeneral Algebraic Systems.
650 2 4 _aSystems Biology.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9781461469278
830 0 _aIFSR International Series on Systems Science and Engineering,
_x1574-0463 ;
_v29
856 4 0 _uhttp://dx.doi.org/10.1007/978-1-4614-6928-5
912 _aZDB-2-SMA
999 _c95798
_d95798