?url_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Adc&rft.title=%C5%81ukasiewicz-Topos+Models+of+Neural+Networks%2C+Cell+Genome+and+Interactome+Nonlinear+Dynamic+Models+%0A&rft.creator=Baianu%2C+Professor+I.C.&rft.subject=Dynamical+Systems&rft.subject=Complexity+Theory&rft.subject=Neural+Nets&rft.subject=Theoretical+Biology&rft.description=A+categorical+and+%C5%81ukasiewicz-Topos+framework+for+Algebraic+Logic+models+of+nonlinear+dynamics+in+complex+functional++systems+such+as+Neural+Networks%2C+Cell+Genome+and+Interactome+Networks+is+introduced.+%C5%81ukasiewicz+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+functions'+is+extended+to+a+%C5%81ukasiewicz+Topos+with+an+n-valued+%C5%81ukasiewicz+Algebraic+Logic+subobject+classifier+description+that+represents+non-random+and+nonlinear+network+activities+as+well+as+their+transformations+in+developmental+processes+and+carcinogenesis.%0A&rft.date=2004-06&rft.type=Preprint&rft.type=PeerReviewed&rft.format=application%2Fpdf&rft.identifier=http%3A%2F%2Fcogprints.org%2F3701%2F1%2FANeuralGenNetworkLuknTopos_oknu4.pdf&rft.identifier=++Baianu%2C+Professor+I.C.++(2004)+%C5%81ukasiewicz-Topos+Models+of+Neural+Networks%2C+Cell+Genome+and+Interactome+Nonlinear+Dynamic+Models.++%5BPreprint%5D+++++&rft.relation=http%3A%2F%2Fcogprints.org%2F3701%2F