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- This is a contributed topic on [[../SystemsBiology/|abstract relational biology]] and its close connections to the theory of [[../Cod/|categories]], especi ...ract relational biology (ARB)'' is an area of mathematical or theoretical biology in which networks of linked physiological and biochemical [[../Bijective/|f ...10 KB (1,421 words) - 04:34, 12 September 2020
- ''Mathematical Biology'' (also known as ''theoretical biology'' ) is the study of biological principles and laws, together with the formu ...physics has dominated for over half a century developments in mathematical biology ...16 KB (2,297 words) - 05:58, 5 October 2023
- ''Mathematical biology'' (also known as ''theoretical biology'' ) is the study of biological ...physics has dominated for over half a century developments in mathematical biology ...16 KB (2,245 words) - 05:58, 5 October 2023
- ...ovide a unified conceptual framework for [[../RSystemsCategory/|relational biology]] that utilizes flexible, algebraic and [[../TrivialGroupoid/|topological s dimensional algebra applications to [[../SystemsBiology/|complex systems biology]] (<ref name='Bgg2'/>, <ref name='BBGG1'/> and references cited therein.) ...6 KB (790 words) - 04:57, 12 September 2020
- ===Categorical dynamics and mathematical representations in functional biology=== ...cs]] are important for understanding physiological dynamics and functional biology in terms of [[../ModuleAlgebraic/|algebraic topology]] [[../PreciseIdea/|co ...9 KB (1,147 words) - 16:09, 12 September 2020
Page text matches
- ''Complex systems biology (<math>CSB</math>)'' is generally described as a non-reductionist, mathema ...biology] in entries that should be described in fact as ''complex systems biology'' . ...4 KB (438 words) - 14:12, 6 May 2023
- ...tability; biological [[../CosmologicalConstant/|energy]] transfer; quantum biology; [[../SimilarityAndAnalogousSystemsDynamicAdjointnessAndTopologicalEquivale ...cademy of Sciences, the Franklin Institute, the Society for Supramolecular Biology and the Society for Vascular [[../GenericityInOpenSystems/|system dynamics] ...3 KB (464 words) - 17:10, 7 May 2016
- ...s biology]] and contributed a series of articles to Journal of Theoretical Biology.[2] [3] [4] [5] [6] [7] [8] The final version of his thoughts on this subje ...n an odd relationship to the [[../CosmologicalConstant/|field]] of systems biology he helped to found. Central to Elsasser's biological thought is the notion ...5 KB (738 words) - 16:18, 10 February 2018
- ...nisms. The latter, mechanistic view prevails even today in most of general biology, but not in sociology or psychology.\\ ...[../QuantumComputers/|quantum automata]]''. Rosen's relational approach to Biology is an extension and amplification of Nicolas Rashevsky's treatment of <math ...7 KB (1,054 words) - 16:03, 12 September 2020
- ===Organismic Set Theory and Relational Biology=== ...S]]) theory is part of [[../AbstractRelationalBiology/|abstract relational biology]]. At the next level of biological organization, cells are considered as '' ...3 KB (387 words) - 15:48, 12 September 2020
- ===Organismic Set Theory and Relational Biology=== ...S]]) theory is part of [[../AbstractRelationalBiology/|abstract relational biology]]. At the next level of biological organization, cells are considered as '' ...3 KB (392 words) - 15:48, 12 September 2020
- ...\L ukasiewicz Algebras: The Non-linear Theory. ''Bulletin of Mathematical Biology'' , '''39''' : 249-258. Baianu, I. C.: 1986--1987a, Computer Models and Automata Theory in Biology and Medicine., in M. Witten (ed.), ...3 KB (418 words) - 05:22, 12 September 2020
- #Biotopology and Topology applications in biology, Non-random Networks: cellular, neural and genetic .../CategoricalPhysics2/|categorical physics]] and [[../Cod/|categories/]] in biology ...5 KB (444 words) - 14:10, 6 May 2023
- ...tion Systems Set-Categorical approach to [[../RSystemsCategory/|relational biology]] based on the [[../PreciseIdea/|concepts]] of [[../ChemicalTransformations I.C. Baianu: 1983, Natural Transformation Models in Molecular Biology., in ''Proceedings of the SIAM Natl. Meet'' ., Denver, CO.; [http://cogprin ...4 KB (621 words) - 15:45, 12 September 2020
- ...ovide a unified conceptual framework for [[../RSystemsCategory/|relational biology]] that utilizes flexible, algebraic and [[../TrivialGroupoid/|topological s dimensional algebra applications to [[../SystemsBiology/|complex systems biology]] (<ref name='Bgg2'/>, <ref name='BBGG1'/> and references cited therein.) ...6 KB (790 words) - 04:57, 12 September 2020
- ...organismic set theory is part of [[../SystemsBiology/|abstract relational biology]]. ''First order organismic sets'' , <math>S_1</math>, are then simple math ===Further Developments of OSR and Relational Biology Mathematical Models=== ...9 KB (1,336 words) - 16:12, 12 September 2020
- ...y and other natural sciences :: Mathematical biology in general :: General biology and biomathematics) Biology., in ''Proceedings of the SIAM Natl. Meet'' ., Denver, ...6 KB (832 words) - 03:15, 13 September 2020
- ===Categorical dynamics and mathematical representations in functional biology=== ...cs]] are important for understanding physiological dynamics and functional biology in terms of [[../ModuleAlgebraic/|algebraic topology]] [[../PreciseIdea/|co ...9 KB (1,147 words) - 16:09, 12 September 2020
- This is a contributed topic on [[../SystemsBiology/|abstract relational biology]] and its close connections to the theory of [[../Cod/|categories]], especi ...ract relational biology (ARB)'' is an area of mathematical or theoretical biology in which networks of linked physiological and biochemical [[../Bijective/|f ...10 KB (1,421 words) - 04:34, 12 September 2020
- ...ystems in mathematical biology ([[../SystemsBiology/|''abstract relational biology'']]) in 1957 (<ref name='RRosen1, RRosen2'/>); such [[../SimilarityAndAnalo ...ossible organism, called the ''primordial'' . Mathematicians interested in biology and this important question of the minimal living organism have attempted t ...12 KB (1,809 words) - 16:00, 12 September 2020
- ...Transforms in Physics, Engineering and Mathematical Biophysics/Theoretical Biology==== ...9 KB (1,286 words) - 07:03, 23 October 2023
- ...lation]] to relational models in Quantum [[../RSystemsCategory/|relational biology]] (''loc.cit'' ). ...lassical [[../LQG2/|automata theory]], and relational biology to molecular biology, oncogenesis and medicine were extensively reviewed and several important c ...15 KB (2,076 words) - 15:54, 12 September 2020
- ''Mathematical biology'' (also known as ''theoretical biology'' ) is the study of biological ...physics has dominated for over half a century developments in mathematical biology ...16 KB (2,245 words) - 05:58, 5 October 2023
- from the standpoint of super-complex [[../SystemsBiology/|systems biology]]. ...2 KB (250 words) - 15:45, 20 August 2020
- ''Mathematical Biology'' (also known as ''theoretical biology'' ) is the study of biological principles and laws, together with the formu ...physics has dominated for over half a century developments in mathematical biology ...16 KB (2,297 words) - 05:58, 5 October 2023