The Reflection of Life: Functional Entailment and Imminence in Relational Biology (IFSR International Series on Systems Science and Engineering), by A. H. Louie
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The Reflection of Life: Functional Entailment and Imminence in Relational Biology (IFSR International Series on Systems Science and Engineering), by A. H. Louie
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A. 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.
The Reflection of Life: Functional Entailment and Imminence in Relational Biology (IFSR International Series on Systems Science and Engineering), by A. H. Louie- Published on: 2015-05-22
- Released on: 2015-05-22
- Original language: English
- Number of items: 1
- Dimensions: 9.25" h x .63" w x 6.10" l, .86 pounds
- Binding: Paperback
- 243 pages
From the Back Cover
A. 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.
About the Author Dr. Aloisius H. Louie is a mathematical biologist. His 1981 PhD thesis topic was on the abstract formulation of categorical system theory in biology. Robert Rosen, then Killam Professor of Biomathematics at Dalhousie University (Halifax, Nova Scotia, Canada), was his mentor. His other degrees are BSc (1978, Honours Mathematics and Biology) and MA (1979, Pure Mathematics) from the University of Western Ontario (London, Ontario, Canada). Dr. Louie's research subjects have encompassed abstract formulations, mathematical modelling, and computer simulations of various natural and physical phenomena, including dynamic behaviour of protein molecules, enzyme-substrate recognition, processes of irreversible thermodynamics, human-pollutant interactions, the cell biology of senescence, and electromagnetics. His premier interest, however, remains the epistemological aspects of mathematical biology.
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Most helpful customer reviews
5 of 5 people found the following review helpful. Ontology and Imminence By T. Gwinn As the author states, this book is 'Opus II' to his 'Opus I', his previous book, More Than Life Itself: A Synthetic Continuation in Relational Biology (hereafter 'ML'). As in my review of ML, I consider this book as required reading for any reader of Robert Rosen's Life Itself or anyone interested the question "what is life?".Although a brief intro to relational biology is provided in the Exordium, ML is definitely a prerequisite read for this book. Otherwise, some of the discussions may be difficult to follow. Stylistically, this is similar to ML insofar as the reader is first treated to a brief course in the "tools" needed for the ensuing discussions, including set-valued mapping and adjacency matrices. These tools are then used in the discussions of functional entailment and imminence.Relational biology is the study of functions and their interactions, rather than studying the particular physical realizations. Modeled as set-valued mappings, functions can entail other functions which can, in turn, entail still other functions. This functional entailment is imminence, and is central to the book. Indeed, from imminence the near certainty of the genesis of life very neatly arises. I cannot do justice here to a detailed description or the import of this concept.Following these discussions, Louie then turns to the interactions between (M,R)-networks, including discussions of virology, symbiosis, natural selection, biogenesis, pathophysiology, oncology and more. These demonstrate the utility and elegant power of relational biology. Some may find these models too elegant; that is, too abstract or "simplistic". However, the argument from the relational biology perspective is that there is no coherent reason to judge the models based on their lack of difficulty or messiness. As Louie remarks: "I wonder how people can appreciate the ontological beauty of nature but then insist on its epistemological ugliness."As with ML, the reader should expect a deeply mathematical treatment which will require studious attention. It is well worth it.Table of Contents================Exordium: An Introduction to Relational BiologyProlegomenon: CardinalisPART I - Pentateuchus: Becoming Mapping 1) Mapping Origins 2) From Points to Sets 3) Principles of Set-Valued Mappings 4) Censusing Independence 5) Set-Valued Mappings ReduxPART II - Functional Entailment 6) The Logic of Entailment 7) The Imminence Mapping 8) Imminence of Life 9) Imminence in ModelsPART III - Interacting (M,R)-Networks 10) Connections 11) Symbiosis 12) Pathophysiology 13) Relational Virology 14) Therapeutics
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