title: Analytical expressions for the steady-state concentrations of glucose, oxygen and gluconic acid in a composite membrane for closed-loop insulin delivery.
abstract: The mathematical model of Abdekhodaie and Wu (J Membr Sci 335:21-31, 2009) of glucose-responsive composite membranes for closed-loop insulin delivery is discussed. The glucose composite membrane contains nanoparticles of an anionic polymer, glucose oxidase and catalase embedded in a hydrophobic polymer. The model involves the system of nonlinear steady-state reaction-diffusion equations. Analytical expressions for the concentration of glucose, oxygen and gluconic acid are derived from these equations using the Adomian decomposition method. A comparison of the analytical approximation and numerical simulation is also presented. An agreement between analytical expressions and numerical results is observed.
authors.affiliation: Department of Mathematics, The Madura College, Madurai 625011, Tamilnadu, India. raj_sms@rediffmail.com
authors.forename: L
authors.initials: L
authors.lastname: Rajendran
authors.forename: L K
authors.initials: LK
authors.lastname: Bieniasz
mesh_terms: D005942:Gluconates; D005947:Glucose; D007328:Insulin; D008962:Models, Theoretical; D010100:Oxygen
chemical_list: D005942:Gluconates; D007328:Insulin; D005947:Glucose; C030691:gluconic acid; D010100:Oxygen