LEADER 03847nam 2200577Ia 450 001 9910733708403321 005 20251112100014.0 010 $a9781461469285$b(ebook) 010 $a1461469287$b(ebook) 010 $z9781461469278$b(print) 024 7 $a10.1007/978-1-4614-6928-5 035 $a(OCoLC)841233303 035 $a(MiFhGG)GVRL6WRY 035 $a(CKB)2670000000369974 035 $a(MiAaPQ)EBC1205366 035 $a(MiFhGG)9781461469285 035 $a(EXLCZ)992670000000369974 100 $a20130207d2013 uy 0 101 0 $aeng 135 $aurun#---uuuua 181 $ctxt 182 $cc 183 $acr 200 14$aThe reflection of life $efunctional entailment and imminence in relational biology /$fA. H.Louie 205 $a1st ed. 2013. 210 $aHoboken, N.J. $cSpringer$d2013 215 $a1 online resource (xxxii, 243 pages) $cillustrations 225 1 $aIFSR International Series in Systems Science and Systems Engineering,$x1574-0463 ;$v29 300 $a"ISSN: 1574-0463." 311 08$a9781489989055 311 08$a1489989056 311 08$a9781461469278 311 08$a1461469279 320 $aIncludes bibliographical references and index. 327 $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. 330 $aA. H. Louie?s The Reflection of Life: Functional Entailment and Imminence in Relational Biology is a continuation of the exploratory journey in relational biology which began with his 2009 monograph More Than Life Itself: A Synthetic Continuation in Relational Biology. The theme of his first book was ?What is life??; the theme of this sequel is ?How do two life forms interact?? Biology is a subject concerned with organization of relations. Relational biology is the approach that advocates ?function dictates structure?, rather than ?structure implies function?. It is mathematics decoded into biological realizations. The book demonstrates some of the powers of the approach of relational biology, and illustrates how pertinent problems in biology can be better addressed this way. In the first volume the theory was developed by using partially ordered sets, lattices, simulations, models, Aristotle?s four causes, graphs, categories, simple and complex systems, anticipatory systems, and metabolism-repair [(M,R)-] systems. Here in the second volume, these tools are expanded to employ set-valued mappings, adjacency matrices, random graphs, and interacting entailment networks. The theory of set-valued mappings culminates in the imminence mapping, which equips the further  investigation of functional entailment in complex relational networks. Imminence in (M,R)-networks that model living systems addresses the topics of biogenesis and natural selection. Interacting (M,R)-networks with mutually entailing processes serve as  models in the study of symbiosis and pathophysiology. The formalism also provides a natural framework for a relational theory of virology and oncology. This book will serve researchers and graduate students in mathematics and biology. 410 0$aIFSR international series on systems science and engineering ;$vv. 29. 606 $aBiological models 606 $aBiology$xResearch 615 0$aBiological models. 615 0$aBiology$xResearch. 676 $a570.1 676 $a570.1/51 700 $aLouie$b Aloisius Ho- Yin$01370230 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910733708403321 996 $aThe reflection of life$94203292 997 $aUNINA