Mathematical models of subcutaneous injection of insulin analogues: a mini-review

DOI10.3934/DCDSB.2009.12.401zbMath1170.92008OpenAlexW2029679825WikidataQ37875678 ScholiaQ37875678MaRDI QIDQ841343

James D. Johnson, Jiaxu Li

Publication date: 16 September 2009

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2009.12.401

zbMATH Keywords

differential equationsinsulintype 1 diabetesinsulin analogues

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical applications (general) (92C50) Physiology (general) (92C30)

Related Items (7)

Exploring dynamical properties of a type 1 diabetes model using sensitivity approaches ⋮ Nonlinear Robust Control and Regulation Problems for Biomedical Dynamical Systems ⋮ Incorporating bolus and infusion pharmacokinetics into the ICING insulin model ⋮ Time-delay model-based control of the glucose-insulin system; by means of a state observer ⋮ Two-phase modeling of fluid injection inside subcutaneous layer of skin ⋮ The regulatory system for diabetes mellitus: modeling rates of glucose infusions and insulin injections ⋮ A methodical survey of mathematical model-based control techniques based on open and closed loop control approach for diabetes management

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