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Mass action type deterministic kinetic models of ion channels are usuallyconstructed in such a way as to obey the principle of detailed balance (or,microscopic reversibility) for two reasons: first, the authors aspire to havemodels harmonizing with thermodynamics, second, the conditions to ensuredetailed balance reduce the number of reaction rate coefficients to bemeasured. We investigate a series of ion channel models which are asserted toobey detailed balance, however, these models violate mass conservation and intheir case only the necessary conditions (the so-called circuit conditions) aretaken into account. We show that ion channel models have a very specificstructure which makes the consequences true in spite of the imprecisearguments. First, we transform the models into mass conserving ones, second, weshow that the full set of conditions ensuring detailed balance (formulated byFeinberg) leads to the same relations for the reaction rate constants in thesespecial cases, both for the original models and the transformed ones.

Microscopic Reversibility or Detailed Balance in Ion Channel Models