title: Nonlinear Models of Neural and Genetic Network Dynamics:    Natural Transformations of Łukasiewicz Logic LM-Algebras in a Łukasiewicz-Topos as Representations of Neural Network Development and Neoplastic Transformations   
creator: Baianu, Professor I.C.
subject: Theoretical Biology
subject: Computational Neuroscience
subject: Artificial Intelligence
subject: Complexity Theory
subject: Dynamical Systems
subject: Neural Nets
subject: Neurogenetics
subject: Neural Modelling
description: A categorical and Łukasiewicz-Topos 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 n-state components that allow for the generalization of previous logical models of both genetic activities and neural networks. An algebraic formulation of variable next-state/transfer functions is extended to a Łukasiewicz Topos with an N-valued Łukasiewicz Algebraic Logic subobject classifier description that represents non-random and nonlinear network activities as well as their transformations in developmental processes and carcinogenesis.  
publisher: Springer
contributor: Iantovics, Dr. Barna
date: 2011-11-21
type: Conference Paper
type: PeerReviewed
format: text/html
identifier: http://cogprints.org/7739/37/NeuralGenNets_Lukn9.doc
format: text/html
identifier: http://cogprints.org/7739/44/NeuralGenNets_Lukn9DOC.docx
format: text/html
identifier: http://cogprints.org/7739/53/NeuralGenNets_Lukn10b.doc
format: application/pdf
identifier: http://cogprints.org/7739/54/NeuralGenNetsB_Lukn10b.pdf
identifier:   Baianu, Professor I.C.  (2011) Nonlinear Models of Neural and Genetic Network Dynamics: Natural Transformations of Łukasiewicz Logic LM-Algebras in a Łukasiewicz-Topos as Representations of Neural Network Development and Neoplastic Transformations.  [Conference Paper]    (In Press)  
relation: http://cogprints.org/7739/