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4. Suppose you have an RNA molecule that can exist in 3 distinct conformational states, A,B, and C. Using single-molecule experiments, one can monitor the

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4. Suppose you have an RNA molecule that can exist in 3 distinct conformational states, A,B, and C. Using single-molecule experiments, one can monitor the state of the molecule as a function of time. um B . time The kinetics of the molecule's interconversion among the states is described by the scheme below: ki k2 A B C k.1 k-2 A. What are the mean times, (ta), (tp), (tc) that the molecule spends in A, B, or C before making a transition to another state? = = AB -1 B* (10). In the class we showed that, if there are only two possible states, A and B, then (tp)/(t)= K 18 = k /k_,. Does the same relationship hold for the above three-state system? If not, explain why this does not violate the principle of detailed balance. Also explain how one could measure the equilibrium constant Kab from a single-molecule experiment performed on the above three-state system

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