Abstract: In classical kinetics, the enzymatic reaction takes place in homogeneous phase and the rate constant has not any time dependence. However, the reactants are spatially constrained on the microscopic level. The catalytic reaction carries out in the heterogeneous environment and is diffusionlimited. Using fractal theory in enzyme kinetics, series of fractal equations for steady-state enzyme catalysis are given. The final result is following:
v^e =k^e₂［ES］= V_m[S]/([S]+K_m)*t^(ds/2)-1?
From this equation, the ds can be given using computer calculation, it is the spectral dimension of enzyme structure which reflects the characterization of enzyme surface. D which is the fractal dimension of the enzyme surface could be obtained by ds. To some extent, it displays different sensibility and selectivity of enzyme to different substrates or products. So the fractal theory provides a new method to enzyme study.

Key words: enzyme, fractal, kinetics

摘要： 应用分形理论推导了酶催化的基元反应动力学方程，并对方程的物理意义做了简单的讨论。

关键词: 酶, 分形, 动力学