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This is a Matlab question 4 Rate equations for interconversion Consider the reversible reaction: The rate equations for this reaction can be written as dt

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4 Rate equations for interconversion Consider the reversible reaction: The rate equations for this reaction can be written as dt and dcp dcA dt dt with the constraint of mass conservation of the form given by CA(t) + CB(t) =co In this case, the long time behavior is nonzero concentrations of both A and B (a) Solve these equations for ca(t) and cB(t) assuming only the molecular species A is present at time t = 0, Make plots of the solutions and demonstrate that the long time behavior is dictated by the ratio k+/k (b) Using the current recording for a single sodimn ion channel as shown in Figure 7.2(A) of the textbook (p. 259), estimate the opening and the closing rate of the channel. Use the result from (a) to plot the probability that the channel is open and the probability it is closed as a function of time. Assume the channel to be closed initially

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