Literature DB >> 23117226

Analytical expressions for the steady-state concentrations of glucose, oxygen and gluconic acid in a composite membrane for closed-loop insulin delivery.

L Rajendran1, L K Bieniasz.   

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.

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Year:  2012        PMID： 23117226     DOI： 10.1007/s00232-012-9510-y

Source DB:  PubMed          Journal:  J Membr Biol        ISSN： 0022-2631            Impact factor:   1.843


  6 in total

1.  Modulated insulin permeation across a glucose-sensitive polymeric composite membrane.

Authors:  Kai Zhang; Xiao Yu Wu
Journal:  J Control Release       Date:  2002-04-23       Impact factor: 9.776

2.  On the stability of insulin delivered through a new glucose-responsive polymeric composite membrane.

Authors:  Kai Zhang; Changling Quan; Huiyu Huang; Nicolas Taulier; Xiao Yu Wu
Journal:  J Pharm Pharmacol       Date:  2004-05       Impact factor: 3.765

3.  Glucose-sensitivity of glucose oxidase-containing cationic copolymer hydrogels having poly(ethylene glycol) grafts.

Authors:  K Podual; F J Doyle; N A Peppas
Journal:  J Control Release       Date:  2000-06-15       Impact factor: 9.776

4.  Characterization of glucose-sensitive insulin release systems in simulated in vivo conditions.

Authors:  T Traitel; Y Cohen; J Kost
Journal:  Biomaterials       Date:  2000-08       Impact factor: 12.479

5.  Silicone rubber-hydrogel composites as polymeric biomaterials. I. Biological properties of the silicone rubber-p(HEMA) composite.

Authors:  I Cífková; P Lopour; P Vondrácek; F Jelínek
Journal:  Biomaterials       Date:  1990-08       Impact factor: 12.479

6.  Temperature and pH-responsive polymeric composite membranes for controlled delivery of proteins and peptides.

Authors:  Kai Zhang; Xiao Yu Wu
Journal:  Biomaterials       Date:  2004-10       Impact factor: 12.479
  6 in total
  3 in total

1.  The Mathematical Theory of Diffusion and Reaction in Enzymes Immoblized Artificial Membrane. The Theory of the Non-Steady State.

Authors:  Malinidevi Ramanathan; Rasi Muthuramalingam; Rajendran Lakshmanan
Journal:  J Membr Biol       Date:  2015-08-12       Impact factor: 1.843

2.  The Influence of Synthesis Parameters on Vertically Aligned CNT Sheets: Empirical Modeling and Process Optimization Using Response Surface Methodology.

Authors:  Seyed Mohsen Hosseini; Vahid Pirouzfar; Hamed Azami
Journal:  J Membr Biol       Date:  2017-11-10       Impact factor: 1.843

3.  Part-2: Analytical Expressions of Concentrations of Glucose, Oxygen, and Gluconic Acid in a Composite Membrane for Closed-Loop Insulin Delivery for the Non-steady State Conditions.

Authors:  N Mehala; L Rajendran; V Meena
Journal:  J Membr Biol       Date:  2016-11-30       Impact factor: 1.843
  3 in total

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