Bánsági, T. and Taylor, A.F. (2014) Role of differential transport in an oscillatory enzyme reaction. Journal of Physical Chemistry B, 118 (23), 6092–6097. (doi:10.1021/jp5019795).
Abstract
As a result of the bell-shaped pH-rate characteristic of enzymatic processes, feedback may arise in enzyme reactions having non-neutral products. This special type of product activation has been shown to lead to self-sustained pH oscillations in an enzyme-loaded membrane. We investigate the possibility of oscillations in a model of the urea–urease reaction, prompted by the recent experimental discovery of feedback in this reaction. An open system is considered in which acid and urea are transported to a cell containing the enzyme. Using linear stability analysis we determine the range of transport coefficients limit cycles may exist for and show that differential transport is required for oscillations in a class of compartmentalized enzyme processes similar to the urea–urease system. We demonstrate that although the transport rate of acid (kH) must be greater than that of urea (kS) for oscillations in a urease-loaded membrane, bistability is possible for kS ≥ kH.
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