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Mathematics of the Genome
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نویسنده
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Rajapakse Indika ,Smale Steve
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منبع
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foundations of computational mathematics - 2017 - دوره : 17 - شماره : 5 - صفحه:1195 -1217
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چکیده
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This work gives a mathematical foundation for bifurcation from a stable equilibrium in the genome. we construct idealized dynamics associated with the genome. for this dynamics, we investigate the two main bifurcations from a stable equilibrium. finally, we give mathematical proofs of existence and points of bifurcation for the repressilator and the toggle gene circuits.
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کلیدواژه
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Genome dynamics ,Gene networks ,Pitchfork bifurcation ,Hopf bifurcation ,37G15 ,92D10
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آدرس
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University of Michigan, USA, City University of Hong Kong, Hong Kong. University of California, USA
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Authors
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