Article
Mathematical model on Type 1 diabetes and Healthy state: Mechanisms of β cells on the interaction between M1 and M2 Macrophages
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Abstract
Type 1 diabetes (T1D) is a chronic autoimmune disease caused by the immune-mediated reduction of β cells, resulting in lifelong dependence on exogenous insulin administration. We studied the impact of M1/M2 macrophages on the β cell level. We obtained the healthy state (absence of T1D) and unhealthy state (presence of T1D). We found that in the unhealthy state, β cell levels are decreased with a continuous alternative switch between M1 and M2 macrophages. However, in the healthy state, the β cell levels increase with a high level of M2 macrophages.
Keywords
mathematical model, innate Immunity, M1 and M2 macrophages, β cells, T1D
Citation
Hamam, H. (2021). Mathematical model on type 1 diabetes and healthy state: Mechanisms of β cells on the interaction between M1 and M2 macrophages. Applied Mathematics and Nonlinear Sciences, 6(2), 1081–1092. https://doi.org/10.2478/amns.2021.2.00329
H. Hamam, “Mathematical model on type 1 diabetes and healthy state: Mechanisms of β cells on the interaction between M1 and M2 macrophages,” Applied Mathematics and Nonlinear Sciences, vol. 6, no. 2, pp. 1081–1092, 2021, doi: 10.2478/amns.2021.2.00329.
Hamam H. Mathematical model on type 1 diabetes and healthy state: Mechanisms of β cells on the interaction between M1 and M2 macrophages. Applied Mathematics and Nonlinear Sciences. 2021;6(2):1081–1092. doi:10.2478/amns.2021.2.00329.
Hamam, H. (2021), ‘Mathematical model on type 1 diabetes and healthy state: Mechanisms of β cells on the interaction between M1 and M2 macrophages’, Applied Mathematics and Nonlinear Sciences, 6(2), pp. 1081–1092. Available at: https://doi.org/10.2478/amns.2021.2.00329.
Hamam, Haneen. “Mathematical Model on Type 1 Diabetes and Healthy State: Mechanisms of Β Cells on the Interaction Between M1 and M2 Macrophages.” Applied Mathematics and Nonlinear Sciences, vol. 6, no. 2, 2021, pp. 1081–1092. https://doi.org/10.2478/amns.2021.2.00329.
Hamam, Haneen. “Mathematical Model on Type 1 Diabetes and Healthy State: Mechanisms of Β Cells on the Interaction Between M1 and M2 Macrophages.” Applied Mathematics and Nonlinear Sciences 6, no. 2 (2021): 1081–1092. https://doi.org/10.2478/amns.2021.2.00329.
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- DOI: 10.2478/amns.2021.2.00329
- Type: article
- Source: Applied Mathematics and Nonlinear Sciences
- Published: 2023-03-31
- OpenAlex ID: W4386164070
Published by: Engineering Journals


