Mathematical model on Type 1 diabetes and Healthy state: Mechanisms of β cells on the interaction between M1 and M2 Macrophages

[1] L.Ghazarian, J.Diana, Y.Simoni, L.Beaudoin, A.Lehuen, Prevention or acceleration of type 1 diabetes by viruses, Cellular and Molecular Life Sciences 70 (2) (2013) 239–255. Search in Google Scholar

[2] J.Parkin, B.Cohen, An overview of the immune system, The Lancet 357 (9270) (2001) 1777–1789. Search in Google Scholar

[3] T.F.Gajewski, H.Schreiber, Y.Fu, Innate and adaptive immune cells in the tumor microenvironment, Nature immunology 14 (10) (2013) 1014–1022. Search in Google Scholar

[4] I.Messaoudi, R.Estep, B.Robinson, S.W.Wong, Nonhuman primate models of human immunology, Antioxidants & redox signaling 14 (2) (2011) 261–273. Search in Google Scholar

[5] J.J.Collier, S.J.Burke, M.E.Eisenhauer, D.Lu, R.C.Sapp, C.J.Frydman, S.R.Campagna, Pancreatic β -cell death in response to pro-inflammatory cytokines is distinct from genuine apoptosis, PLoS One 6 (7) (2011) e22485. Search in Google Scholar

[6] M.A.Russell, NG4292460.Morgan, The impact of anti-inflammatory cytokines on the pancreatic β -cell, Islets 6 (3) (2014) e950547. Search in Google Scholar

[7] S.Demine, A.A.Schiavo, S.Marín-Cañas, P.Marchetti, M.Cnop, D.L.Eizirik, Pro-inflammatory cytokines induce cell death, inflammatory responses, and endoplasmic reticulum stress in human ipsc-derived beta cells, Stem cell research & therapy 11 (1) (2020) 1–15. Search in Google Scholar

[8] A.Mantovani, P.Romero, A.K.Palucka, F.M.Marincola, Tumour immunity: effector response to tumour and role of the microenvironment, The Lancet 371 (9614) (2008) 771–783. Search in Google Scholar

[9] P. Devaki, S.Sreenadh, K.Vajravelu, KV.Prasad, H.Vaidya, Wall properties and slip consequences on peristaltic transport of a casson liquid in a flexible channel with heat transfer, Applied Mathematics and Nonlinear Sciences (2018). Search in Google Scholar

[10] A.Álvarez-Arenas, J.Belmonte-Beitia, G.F.Calvo, Nonlinear waves in a simple model of high-grade glioma, Applied Mathematics and Nonlinear Sciences (2016). Search in Google Scholar

[11] M.Lombarte, M.Lupo, L.F.Brenda, G.Campetelli, A.B.Marilia, M.Basualdo, A.Rigalli, In vivo measurement of the rate constant of liver handling of glucose and glucose uptake by insulin-dependent tissues, using a mathematical model for glucose homeostasis in diabetic rats, Journal of Theoretical Biology 439 (2018) 205–215. Search in Google Scholar

[12] M.Lombarte, M.Lupo, G.Campetelli, M.Basualdo, A.Rigalli, Mathematical model of glucose–insulin homeostasis in healthy rats, Mathematical biosciences 245 (2) (2013) 269–277. Search in Google Scholar

[13] H. Ali, A.Daneshkhah, A.Boutayeb, N.J.Malunguza, Z.Mukandavire, Exploring dynamical properties of a type 1 diabetes model using sensitivity approaches, Mathematics and Computers in Simulation (2022). Search in Google Scholar

[14] H. Ali, A.Daneshkhah, A.Boutayeb, Z.Mukandavire, Examining type 1 diabetes mathematical models using experimental data, International Journal of Environmental Research and Public Health 19 (2) (2022) 737. Search in Google Scholar

[15] A.F.Marée, R.Kublik, D.T.Finegood, L.Edelstein-Keshet, Modelling the onset of type 1 diabetes: can impaired macrophage phagocytosis make the difference between health and disease?, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 364 (1842) (2006) 1267–1282. Search in Google Scholar

[16] L. Helming., Inflammation: Cell recruitment versus local proliferation., Current Biology 21 (14) (2011) R548–R550. Search in Google Scholar

[17] G. Magombedze, S. Eda, V. Ganusovi, Competition for antigen between Th1 and Th2 responses determines the timing of the immune response switch during mycobaterium avium subspecies paratuberulosis infection in ruminants, PLoS Comput Biol 10 (1) (2014) e1003414. Search in Google Scholar

[18] P. Allavena, A. Mantovani, Immunology in the clinic review series; focus on cancer: tumour-associated macrophages: undisputed stars of the inflammatory tumour microenvironment, Clinical and Experimental Immunology 167 (2012) 195–205. Search in Google Scholar

[19] Y. Wang, T. Yang, Y. Ma, G. halide, J. Zhang, M. L. Lindsey, Y.-F. Jin, Mathematical modeling and stability analysis of macrophage activation in left ventricular remodeling post-myocardial infarction, BMC Genomics 13 (2012) S21. Search in Google Scholar

[20] R. Eftimie, H. Hamam, Modelling and investigation of the CD4⁺ T cells-macrophages paradox in melanoma immunotherapies, Journal of Theoretical Biology 420 (2017) 82–104. Search in Google Scholar

[21] S. J. jenkins, D. Ruckerl, P. C. Cook, L. H. Jones, F. D. Winkelman, N. van Rooijen, A. S. MacDonald, J. E. Allen, Local macrophage proliferation, rather than recruitment from the blood, is a signature of Th2 inflammation, Science 332 (6035) (2011) 1284–1288. Search in Google Scholar

[22] X.Xiao, G.K.Gittes, Concise review: new insights into the role of macrophages in β -cell proliferation, Stem cells translational medicine 4 (6) (2015) 655–658. Search in Google Scholar

[23] Y.Dor, J.Brown, O.I.Martinez, D.A.Melton, Adult pancreatic β -cells are formed by self-duplication rather than stem-cell differentiation, Nature 429 (6987) (2004) 41–46. Search in Google Scholar

[24] M.Blandino-Rosano, G.Perez-Arana, J.Mellado-Gil, C.Segundo, M.Aguilar-Diosdado, Anti-proliferative effect of pro-inflammatory cytokines in cultured b cells is associated with extracellular signal-regulated kinase 1/2 pathway inhibition: protective role of glucagon-like peptide-1, Journal of molecular endocrinology 41 (1) (2008) 35. Search in Google Scholar

[25] C.Wang, Y.Guan, J.Yang, Cytokines in the progression of pancreatic β -cell dysfunction, International journal of endocrinology 2010 (2010). Search in Google Scholar

[26] X.Xiao, I.Gaffar, P.Guo, J.Wiersch, S.Fischbach, L.Peirish, Z.Song, Y.El-Gohary, K.Prasadan, C.Shiota, et al., M2 macrophages promote beta-cell proliferation by up-regulation of smad7, Proceedings of the National Academy of Sciences 111 (13) (2014) E1211–E1220. Search in Google Scholar

[27] J.R.Moore, F.Adler, Mathematical modeling of type 1 diabetes in the nod mouse: separating incidence and age of onset, arXiv preprint arXiv:1412.6566 (2014). Search in Google Scholar

[28] S.-H. Lee, P. M. Starkey, S. Gordon, Quantitative analysis of total macrophage content in adult mouse tissues, J. Exp. Med. 161 (1985) 475–489. Search in Google Scholar

[29] D.T.Finegood, L.Scaglia, S.Bonner-Weir, Dynamics of β -cell mass in the growing rat pancreas: estimation with a simple mathematical model, Diabetes 44 (3) (1995) 249–256. Search in Google Scholar