Michaelis-Menten反应扩散系统的拟定态约化
Quasi-steady state reduction for the Michaelis-Menten reaction-diffusion system
摘要：
Michaelis-Menten机理可能是酶催化反应最著名的模型。对于空间均匀的浓度，QSS减少是众所周知的，但这不是化学物种时，允许扩散的情况。在后一种情况下，我们将讨论不可逆和可逆Michaelis-Menten反应的QSS减少，给定小的初始酶浓度和缓慢的扩散。我们的工作是基于一个启发式方法来获得一个常微分方程，承认减少Tikhonov-Fenichel理论。我们不会给出收敛性证明，但我们提供的数值结果，支持减少的准确性。
英文摘要：
The Michaelis-Menten mechanism is probably the best known model for an enzyme-catalyzed reaction. For spatially homogeneous concentrations, QSS reductions are well known, but this is not the case when chemical species are allowed to diffuse. We will discuss QSS reductions for both the irreversible and reversible Michaelis-Menten reaction in the latter case, given small initial enzyme concentration and slow diffusion. Our work is based on a heuristic method to obtain an ordinary differential equation which admits reduction by Tikhonov-Fenichel theory. We will not give convergence proofs but we provide numerical results that support the accuracy of the reductions.
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