Overview
- Presents an algebraic approach to biological models
- Offers a non-reductionist take on living systems
- Supports investigation of the Rashevsky-Rosen school of relational biology
- Includes supplementary material: sn.pub/extras
Part of the book series: Anticipation Science (ANTISC, volume 2)
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Table of contents (14 chapters)
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Potestas The Power Set Functor
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Sicut: Natural Law and the Modelling Relation
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Dimissio: From Invertibility to Adjunction
Keywords
About this book
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Relational biology is the approach that hails ‘function dictates structure’; it is mathematics decoded into biological realizations. Therefore, the work begins with a concise introduction to category theory, equiping the reader with the mathematical metalanguage of relation biology. The book is organized around three parts:
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Part I is a comprehensive study of the most important functor in relational biology, the power set functor. Â The author lays the s
et-theoretic foundations of the functorial connections in relational biology, exploring relations, mappings, and set-valued mappings.Â
In Part II, Natural Law receives a new mathematical formulation founded on two axioms: ‘Everything is a set.’ and ‘Every process is a set-valued mapping.’ The reader sees how Metabolism–Repair networks, equipped with set-valued processors, expand their role from models of biological entities to generic models of all natural systems. Â
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Part III expounds the various shades of invertibility in general, and the inversion of encoding to decoding in particular. Â A plethora of mathematical and biological examples illustrate the category-theoretic concepts of equivalence and adjunction.
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This book's algebraic approach to biological models will appeal to researchers and graduate students in mathematics, biology, and the philosophy of science.
Authors and Affiliations
About the author
Bibliographic Information
Book Title: Intangible Life
Book Subtitle: Functorial Connections in Relational Biology
Authors: A.H. Louie
Series Title: Anticipation Science
DOI: https://doi.org/10.1007/978-3-319-65409-6
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing AG 2017
Hardcover ISBN: 978-3-319-65408-9Published: 20 December 2017
Softcover ISBN: 978-3-319-88021-1Published: 31 August 2018
eBook ISBN: 978-3-319-65409-6Published: 05 December 2017
Series ISSN: 2522-039X
Series E-ISSN: 2522-0403
Edition Number: 1
Number of Pages: XXIII, 264
Number of Illustrations: 4 b/w illustrations
Topics: Mathematical and Computational Biology, Philosophy of Biology, Category Theory, Homological Algebra, Life Sciences, general, Applications of Graph Theory and Complex Networks