Mean-field cooperativity in chemical kinetics

Details Mean-field cooperativity in chemical kinetics Mean-field cooperativity in chemical kinetics

2011-04-19

arxiv.org/abs/1104.3783v1

Biology

Quantitative Biology

Quantitative Methods

25 pages, 4 figures

Scientific paper

We consider cooperative reactions and we study the effects of the interaction strength among the system components on the reaction rate, hence realizing a connection between microscopic and macroscopic observables. Our approach is based on statistical mechanics models and it is developed analytically via mean-field techniques. First of all, we show that, when the coupling strength is set positive, the model is able to consistently recover all the various cooperative measures previously introduced, hence obtaining a single unifying framework. Furthermore, we introduce a criterion to discriminate between weak and strong cooperativity, based on a measure of "susceptibility". We also properly extend the model in order to account for multiple attachments phenomena: this is realized by incorporating within the model $p$-body interactions, whose non-trivial cooperative capability is investigated too.

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