Yildirim Necmettin, Kazanci Caner
Division of Natural Sciences, New College of Florida, Sarasota, Florida, USA.
Methods Enzymol. 2011;487:371-95. doi: 10.1016/B978-0-12-381270-4.00012-3.
A brief introduction to mathematical modeling of biochemical regulatory reaction networks is presented. Both deterministic and stochastic modeling techniques are covered with examples from enzyme kinetics, coupled reaction networks with oscillatory dynamics and bistability. The Yildirim-Mackey model for lactose operon is used as an example to discuss and show how deterministic and stochastic methods can be used to investigate various aspects of this bacterial circuit.
本文简要介绍了生化调控反应网络的数学建模。涵盖了确定性和随机建模技术,并列举了酶动力学、具有振荡动力学和双稳态的耦合反应网络等示例。以乳糖操纵子的Yildirim-Mackey模型为例,讨论并展示了如何使用确定性和随机方法来研究该细菌回路的各个方面。