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This study aims to determine DNA hybridization reaction kinetics, constants, and equations for forward and reverse reactions across different scenarios, including steady-state approximation. It includes analysis of initial conditions and solutions for various cases.
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Hybridization Reaction Analysis 2003.2.6 Eun-Jeong Lee
Purpose • To know the time and the concentration of initial amonut of DNA that composes the final strand
Kinetic constant of reactions • Hybridization kinetic constants of all case are k for forward reaction and k` for reverse reaction.
Hybridization reaction equation using substituted characters
Case I • If no reverse reaction, consider only forward reaction rate
Steady-state approximation • The steady-state approximation assumes that, after an initial induction period, an interval during which the concentrations of intermediates rise from zero, and during the major part of the reaction, the rates of change of concentrations of all reaction intermediates are negligibly small.
Apply to eqs about intermediate • de/dt=df/dt=dg/dt=dh/dt=dl/dt=dm/dt=dn/dt=do/dt=dp/dt=0
Initial conditions and Solution • a=b=c=x=y="" , at t=0 • q=fct(t) The concentration of final double strand, Ae1Be2C is expected to be derived to the form of function of time and concentrations of initial strands.
Case Ⅱ • There is a reverse reaction only for reactions that is related with final ds, i.e. Ae1Be2C.
Case Ⅲ • There is a reverse reaction for all reactions.
Finding kinetic constant, k • How?