?url_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Adc&rft.title=Quantum+Genetics+in+terms+of+Quantum+Reversible+Automata+and%0AQuantum+Computation+of+Genetic+Codes+and+Reverse+Transcription+%0A&rft.creator=Baianu%2C+Professor+I.C.&rft.subject=Dynamical+Systems&rft.subject=Complexity+Theory&rft.subject=Theoretical+Biology&rft.description=The+concepts+of+quantum+automata+and+quantum+computation+are+studied+in+the+context+of+quantum+genetics+and+genetic+networks+with+nonlinear+dynamics.+In+previous+publications+(Baianu%2C1971a%2C+b)+the+formal+concept+of+quantum+automaton+and+quantum+computation%2C+respectively%2C+were+introduced+and+their+possible+implications+for+genetic+processes+and+metabolic+activities+in+living+cells+and+organisms+were+considered.+This+was+followed+by+a+report+on+quantum+and+abstract%2C+symbolic+computation+based+on+the+theory+of+categories%2C+functors+and+natural+transformations+(Baianu%2C1971b%3B+1977%3B+1987%3B+2004%3B+Baianu+et+al%2C+2004).+The+notions+of+topological+semigroup%2C+quantum+automaton%2C+or+quantum+computer%2C+were+then+suggested+with+a+view+to+their+potential+applications+to+the+analogous+simulation+of+biological+systems%2C+and+especially+genetic+activities+and+nonlinear+dynamics+in+genetic+networks.+Further%2C+detailed+studies+of+nonlinear+dynamics+in+genetic+networks+were+carried+out+in+categories+of+n-valued%2C+%C5%81ukasiewicz+Logic+Algebras+that+showed+significant+dissimilarities+(Baianu%2C+1977%3B+2004a%3B+Baianu+et+al%2C+2004b)+from+Boolean+models+of+human+neural+networks+(McCullough+and+Pitts%2C+1943).+Molecular+models+in+terms+of+categories%2C+functors+and+natural+transformations+were+then+formulated+for+uni-molecular+chemical+transformations%2C+multi-molecular+chemical+and+biochemical+transformations+(Baianu%2C+1983%2C+1987%2C+2004a).+Previous+applications+of+computer+modeling%2C+classical+automata+theory%2C+and+relational+biology+to+molecular+biology%2C+oncogenesis+and+medicine+were+extensively+reviewed+and+several+important+conclusions+were+reached+regarding+both+the+potential+and+limitations+of+the+computation-assisted+modeling+of+biological+systems%2C+and+especially+complex+organisms+such+as+Homo+sapiens+sapiens+(Baianu%2C1987).++Novel+approaches+to+solving+the+realization+problems+of+Relational+Biology+models+in+Complex+System+Biology+are+introduced+in+terms+of+natural+transformations+between+functors+of+such+molecular+categories.+Several+applications+of+such+natural+transformations+of+functors+were+then+presented+to+protein+biosynthesis%2C+embryogenesis+and+nuclear+transplant+experiments.+Topoi+of+%C5%81ukasiewicz+Logic+Algebras+and+Intuitionistic+Logic+(Heyting)+Algebras+are+being+considered+for+modeling+nonlinear+dynamics+and+cognitive+processes+in+complex+neural+networks+that+are+present+in+the+human+brain%2C+as+well+as+stochastic+modeling+of+genetic+networks+in+%C5%81ukasiewicz+Logic+Algebras.+%0A&rft.date=2004-06&rft.type=Preprint&rft.type=PeerReviewed&rft.format=application%2Fpdf&rft.identifier=http%3A%2F%2Fcogprints.org%2F3697%2F1%2FQuantAutomRevers_RevTranscription.pdf&rft.identifier=++Baianu%2C+Professor+I.C.++(2004)+Quantum+Genetics+in+terms+of+Quantum+Reversible+Automata+and+Quantum+Computation+of+Genetic+Codes+and+Reverse+Transcription.++%5BPreprint%5D+++++&rft.relation=http%3A%2F%2Fcogprints.org%2F3697%2F