A derivation based on combinatorial analysis is presented for the equations of the kinetics of reactions of sites on a long chain molecule, wherein the first-order kinetics depend on the states of the nearest neighbors, The derivation results in a set of differential equations practically identical to those recently developed by r B. Keller; however, a more fundamental hypothesis has replaced KeJler's hypothesis concerning the distribution of reacted sites. The analysis admits a greater choice of initial conditions, and also yields directly the distribution of sequences of k unreacted sites.
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