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Recent advances in mathematical models for the understanding and treatment of Type 1 Diabetes Mellitus

机译:用于理解和治疗1型糖尿病的数学模型的最新进展

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Type 1 Diabetes Mellitus (T1DM) is a chronic autoimmune disease affecting around 80 million people in the world. Its pathophysiology is based on the malfunction of the glucose homeostasis given the deficiency in the production of the insulin hormone from pancreas. Therefore, after an ingestion of a high-carbohydrate meal, the patient with this condition is not able to recover back the right plasma glucose concentration by itself. Nowadays, there exists an approach to treat this condition from control engineering and it is based on the development of an artificial pancreas able to provide the needed doses of insulin and glucagon at a given time. However, one of the main concerns in the development of such an artificial pancreas is to provide, to the automatic controller, a reliable mathematical model about the physiology of the treated patient in order to perform the right decision making. Although the literature about mathematical modeling of diabetes is quite vast, the purpose of this paper is to provide an update about the recent advances about the diabetes modeling, mainly what is related to the glucose homeostasis. The review is mainly focused on the developments from the last ten years.
机译:1型糖尿病(T1DM)是一种慢性自身免疫性疾病,影响全世界约8000万人。考虑到胰腺分泌胰岛素激素的缺乏,其病理生理是基于葡萄糖稳态的功能障碍。因此,摄入高碳水化合物餐后,患有这种疾病的患者无法自行恢复正确的血浆葡萄糖浓度。如今,存在一种通过控制工程来治疗这种疾病的方法,它基于能够在给定时间提供所需剂量的胰岛素和胰高血糖素的人造胰腺的开发。但是,开发这种人造胰腺的主要问题之一是向自动控制器提供有关所治疗患者生理的可靠数学模型,以便进行正确的决策。尽管有关糖尿病数学建模的文献非常丰富,但本文的目的是提供有关糖尿病建模的最新进展的最新信息,主要是与葡萄糖稳态有关的信息。审查主要集中于最近十年的发展。

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