?url_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Adc&rft.title=Quantum+Genetics%2C+Quantum+Automata+and+Quantum+Computation+%0A&rft.creator=Baianu%2C+Professor+I.+C.&rft.subject=Dynamical+Systems&rft.subject=Complexity+Theory&rft.subject=Artificial+Intelligence&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+a+previous+publication+(Baianu%2C1971a)+the+formal+concept+of+quantum+automaton+was+introduced+and+its+possible+implications+for+genetic+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).+The+notions+of+topological+semigroup%2C+quantum+automaton%2Cor+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+Lukasiewicz+Logic+Algebras+that+showed+significant+dissimilarities+(Baianu%2C+1977)+from+Bolean+models+of+human+neural+networks+(McCullough+and+Pitts%2C1945).+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%2C2004a).+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.+Other+possible+realizations+in+Molecular+Biology+and+Relational+Biology+of+Organisms+are+here+suggested+in+terms+of+quantum+automata+models+of+Quantum+Genetics+and+Interactomics.++Future+developments+of+this+novel+approach+are+likely+to+also+include%3A+Fuzzy+Relations+in+Biology+and+Epigenomics%2C+Relational+Biology+modeling+of+Complex+Immunological+and+Hormonal+regulatory+systems%2C+n-categories+and+Topoi+of+Lukasiewicz+Logic+Algebras+and+Intuitionistic+Logic+(Heyting)+Algebras+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+Lukasiewicz+Logic+Algebras.+%0A%0A%0A%0A%0A&rft.date=2004-05&rft.type=Preprint&rft.type=NonPeerReviewed&rft.format=application%2Fpdf&rft.identifier=http%3A%2F%2Fcogprints.org%2F3676%2F1%2FQuantumAutnu2_ICB.pdf&rft.identifier=++Baianu%2C+Professor+I.+C.++(2004)+Quantum+Genetics%2C+Quantum+Automata+and+Quantum+Computation.++%5BPreprint%5D+++++&rft.relation=http%3A%2F%2Fcogprints.org%2F3676%2F