Applied Mathematics and Nonlinear Sciences
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Journal

Applied Mathematics and Nonlinear Sciences


Volume
& Issue

Volume 6, Issue 2


Published
on

March 31, 2023


Pages

1081-1092


DOI

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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Authors

Haneen Hamam Affiliation:
Mathematics Department, Umm Al-Qura University, Makkah, Saudi Arabia


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
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