title: Enhanced modelling of the glucose–insulin system and its applications in insulin therapies.
abstract: 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.
authors.affiliation: Department of Mathematical Sciences and Applied Computing, Arizona State University, Phoenix, AZ, USA. wangh@asu.edu
authors.forename: Haiyan
authors.initials: H
authors.lastname: Wang
authors.forename: Jiaxu
authors.initials: J
authors.lastname: Li
authors.forename: Yang
authors.initials: Y
authors.lastname: Kuang
mesh_terms: D003922:Diabetes Mellitus, Type 1 / Q000188:drug therapy*; D003924:Diabetes Mellitus, Type 2 / Q000188:drug therapy*; D025461:Feedback, Physiological; D005947:Glucose / Q000378:metabolism*; D006801:Humans; D007328:Insulin / Q000493:pharmacokinetics / Q000627:therapeutic use*; D008954:Models, Biological
chemical_list: D007328:Insulin; D005947:Glucose