Regalbuto M C, Strieder W, Varma A
Bull Math Biol. 1989;51(3):325-35. doi: 10.1007/BF02460111.
Analytical bounding functions for diffusion problems with Michaelis-Menten kinetics were recently presented by Anderson an Arthurs, 1985 (Bull. math. Biol. 47, 145-153). Their method, successful to some extent for a small range of parameters, has the disadvantage of providing a weak upper bound. The optimal approach for the use of one-line bounding kinetics is presented. The use of two-line bounding kinetics is also shown, in order to give sufficient accuracy in those cases where the one-line approach does not provide satisfactory results. The bounding functions provide excellent upper and lower bounds on the true solution for the entire range of kinetic and transport parameters.
安德森和阿瑟斯于1985年（《数学生物学公报》47卷，第145 - 153页）最近提出了具有米氏动力学的扩散问题的解析边界函数。他们的方法在一定程度上适用于小范围的参数，但存在提供的上界较弱的缺点。本文给出了使用单线边界动力学的最优方法。还展示了使用双线边界动力学的情况，以便在单线方法不能提供满意结果的情形下给出足够的精度。这些边界函数为整个动力学和传输参数范围内的真实解提供了出色的上下界。
