稀疏状态反馈下的胰岛素治疗实施策略

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2024-10-24 DOI:10.1016/j.aml.2024.109347

Mingzhan Huang, Shouzong Liu

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引用次数: 0

摘要

传统的连续血糖监测往往成本高昂且不方便，因此需要更高效的方法。本文提出了一种利用稀疏监测数据进行胰岛素注射决策的新型糖尿病管理方法。本文建立了一个基于微分方程的模型，利用有限的反馈数据估算血浆葡萄糖水平并优化胰岛素剂量和注射间隔。这种方法可确保血糖水平保持在安全范围内。数值模拟证明了这种方法的有效性，为改善糖尿病管理提供了一种可行的替代方法。

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Implementation strategy of insulin therapy under sparse state feedback

Traditional continuous glucose monitoring is often costly and inconvenient, necessitating more efficient methods. This paper proposes a novel approach to diabetes management by utilizing sparse monitoring data for insulin injection decisions. A differential equation-based model is developed to estimate plasma glucose levels and optimize insulin dosages and injection intervals using limited feedback data. This method ensures that glucose levels remain within a safe range. Numerical simulations demonstrate the effectiveness of this approach, offering a viable alternative for improving diabetes management.

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来源期刊

Applied Mathematics Letters 数学-应用数学

CiteScore

7.70

自引率

5.40%

发文量

347

审稿时长

10 days

期刊介绍： The purpose of Applied Mathematics Letters is to provide a means of rapid publication for important but brief applied mathematical papers. The brief descriptions of any work involving a novel application or utilization of mathematics, or a development in the methodology of applied mathematics is a potential contribution for this journal. This journal''s focus is on applied mathematics topics based on differential equations and linear algebra. Priority will be given to submissions that are likely to appeal to a wide audience.