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2014 ; 4
(3
): 20130077
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A queueing approach to multi-site enzyme kinetics
#MMPMID24904740
Hochendoner P
; Ogle C
; Mather WH
Interface Focus
2014[Jun]; 4
(3
): 20130077
PMID24904740
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Multi-site enzymes, defined as where multiple substrate molecules can bind
simultaneously to the same enzyme molecule, play a key role in a number of
biological networks, with the Escherichia coli protease ClpXP a well-studied
example. These enzymes can form a low latency 'waiting line' of substrate to the
enzyme's catalytic core, such that the enzyme molecule can continue to collect
substrate even when the catalytic core is occupied. To understand multi-site
enzyme kinetics, we study a discrete stochastic model that includes a single
catalytic core fed by a fixed number of substrate binding sites. A natural
queueing systems analogy is found to provide substantial insight into the
dynamics of the model. From this, we derive exact results for the probability
distribution of the enzyme configuration and for the distribution of substrate
departure times in the case of identical but distinguishable classes of substrate
molecules. Comments are also provided for the case when different classes of
substrate molecules are not processed identically.