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TY - INPR N1 - 14 pages of .doc.ODT and PDF files; this version is peer-reviewed ID - cogprints7739 UR - http://cogprints.org/7739/ A1 - Baianu, Professor I.C. Y1 - 2011/11/21/ N2 - A categorical and ?ukasiewicz-Topos framework for Algebraic Logic models of nonlinear dynamics in complex functional systems such as Neural Networks, Cell Genome and Interactome Networks is introduced. ?ukasiewicz 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 ?ukasiewicz Topos with an N-valued ?ukasiewicz Algebraic Logic subobject classifier description that represents non-random and nonlinear network activities as well as their transformations in developmental processes and carcinogenesis. PB - Springer KW - ?ukasiewicz models of Neural and Genetic Networks; Genome and cell interactomics models in terms of categories of ?ukasiewicz logic Algebras and Lukasiewicz Topos;?ukasiewicz Topos with an n-valued ?ukasiewicz Algebraic Logic subobject classifier; genetic network transformations in Carcinogenesis KW - developmental processes and Evolution/ Evolutionary Biology; Relational Biology of Archea KW - yeast and higher eukaryotic organisms; nonlinear dynamics in non-random KW - 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 KW - LM-logic algebra KW - LM-Topoi KW - neural network development KW - morphogenesis KW - neoplastic transformations KW - LM-logic algebra categories KW - Lukasiewicz-Moisil Logic Algebras TI - Nonlinear Models of Neural and Genetic Network Dynamics: Natural Transformations of ?ukasiewicz Logic LM-Algebras in a ?ukasiewicz-Topos as Representations of Neural Network Development and Neoplastic Transformations SP - 1 AV - public EP - 14 ER -