Numerical Computation of Hard Excitation in an Autocatalytic Biochemical System  

作　　者：Faisal Nasser Mohammed AI-Showaikh 

机构地区：[1]Department of Matheman'cs, College of Science, University of Bahrain, Sakhir3 2038, Bahrain

出　　处：《Journal of Mathematics and System Science》2012年第7期454-463,共10页数学和系统科学（英文版）

摘　　要：An autocatalytic biochemical system in the presence of recycling enzyme is solved numerically using two numerical methods based on finite difference schemes. The first method is the well known Euler method which is an explicit method, whereas the second method is implicit. Although the implicit method, method 2, is first-order accurate in time it converges to the fixed point（s） for large time step, L Numerical results show the existence of hard excitation and birhythmicity.

关 键 词：Autocatalytic biochemical system recycling enzyme implicit method finite-difference method hard excitation birhythmicity. 

分 类 号：O241[理学—计算数学] X703[理学—数学]