Baianu, Professor I.C. (2011) Nonlinear Models of Neural and Genetic Network Dynamics: Natural Transformations of Łukasiewicz Logic LMAlgebras in a ŁukasiewiczTopos as Representations of Neural Network Development and Neoplastic Transformations. [Conference Paper] (In Press)
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Abstract
A categorical and ŁukasiewiczTopos framework for Algebraic Logic models of nonlinear dynamics in complex functional systems such as Neural Networks, Cell Genome and Interactome Networks is introduced. Łukasiewicz Algebraic Logic models of both neural and genetic networks and signaling pathways in cells are formulated in terms of nonlinear dynamic systems with nstate components that allow for the generalization of previous logical models of both genetic activities and neural networks. An algebraic formulation of variable nextstate/transfer functions is extended to a Łukasiewicz Topos with an Nvalued Łukasiewicz Algebraic Logic subobject classifier description that represents nonrandom and nonlinear network activities as well as their transformations in developmental processes and carcinogenesis.
Item Type:  Conference Paper 

Additional Information:  14 pages of .doc.ODT and PDF files; this version is peerreviewed 
Keywords:  Łukasiewicz models of Neural and Genetic Networks; Genome and cell interactomics models in terms of categories of Łukasiewicz logic Algebras and Lukasiewicz Topos;Łukasiewicz Topos with an nvalued Łukasiewicz Algebraic Logic subobject classifier; genetic network transformations in Carcinogenesis, developmental processes and Evolution/ Evolutionary Biology; Relational Biology of Archea, yeast and higher eukaryotic organisms; nonlinear dynamics in nonrandom, hierarchic genetic networks; proteomics coupled genomes via signaling pathways;mechanisms of neoplastic transformations of cells and topological grupoid models of genetic networks in cancer cells; natural transformations of organismic structures in Molecular Biology;Neural and genetic network dynamics, LMlogic algebra, LMTopoi, neural network development, morphogenesis, neoplastic transformations, LMlogic algebra categories, LukasiewiczMoisil Logic Algebras 
Subjects:  Biology > Theoretical Biology Neuroscience > Computational Neuroscience Computer Science > Artificial Intelligence Computer Science > Complexity Theory Computer Science > Dynamical Systems Computer Science > Neural Nets Neuroscience > Neurogenetics Neuroscience > Neural Modelling 
ID Code:  7739 
Deposited By:  Baianu, Professor I. C. 
Deposited On:  16 Dec 2011 00:58 
Last Modified:  16 Dec 2011 00:58 
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