使用递归方法求解耦合微分方程组来模拟胰岛素酰化动力学。
Modeling the kinetics of acylation of insulin using a recursive method for solving the systems of coupled differential equations.
作者信息
Grzybowski B A, Anderson J R, Colton I, Brittain S T, Shakhnovich E I, Whitesides G M
机构信息
Department of Chemistry and Chemical Biology, Harvard University, Cambridge, Massachusetts 02138, USA.
出版信息
Biophys J. 2000 Feb;78(2):652-61. doi: 10.1016/S0006-3495(00)76623-9.
This paper describes a theoretical method for solving systems of coupled differential equations that describe the kinetics of complicated reaction networks in which a molecule having multiple reaction sites reacts irreversibly with multiple equivalents of a ligand (reagent). The members of the network differ in the number of equivalents of reagent that have reacted, and in the patterns of sites of reaction. A recursive algorithm generates series, asymptotic, and average solutions describing this kinetic scheme. This method was validated by successfully simulating the experimental data for the kinetics of acylation of insulin.
本文描述了一种求解耦合微分方程组的理论方法，该方程组描述了复杂反应网络的动力学，其中具有多个反应位点的分子与多个当量的配体（试剂）发生不可逆反应。网络中的成员在已反应的试剂当量数以及反应位点模式方面存在差异。一种递归算法生成了描述该动力学方案的级数解、渐近解和平均解。通过成功模拟胰岛素酰化动力学的实验数据，验证了该方法。
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