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  • 标题:Enhanced modelling of the glucose–insulin system and its applications in insulin therapies
  • 本地全文:下载
  • 作者:Haiyan Wang ; Jiaxu Li ; Yang Kuang
  • 期刊名称:Journal of Biological Dynamics
  • 印刷版ISSN:1751-3758
  • 电子版ISSN:1751-3766
  • 出版年度:2008
  • 卷号:3
  • 期号:1
  • 页码:22-38
  • DOI:10.1080/17513750802101927
  • 出版社:Taylor & Francis
  • 摘要:It is well known that Michaelis–Menten kinetics is suitable for the response function in chemical reaction, when the reaction rate does not increase indefinitely when an excess of resource is available. However, the existing models for insulin therapies assume that the response function of insulin clearance is proportional to the insulin concentration. In this paper, we propose a new model for insulin therapy for both type 1 and type 2 diabetes mellitus, in which the insulin degradation rate assumes Michaelis–Menten kinetics. Our analysis shows that it is possible to mimic pancreatic insulin secretion by exogenous insulin infusions, and our numerical simulations provide clinical strategies for insulin–administration practices.
  • 关键词:diabetes ; glucose–insulin regulator system ; insulin therapy ; time delay ; periodic solution
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