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计算机技术21年17期

基于 MATLAB 非线性拟合的血压微分方程模型研究
李鑫,王慧
(黑龙江工业学院,黑龙江 鸡西 158100)

摘  要:过对一级高血压患者在短时间内服用降压药后血压变化的研究,建立血压与时间关系的模型。该模型基于微分方程,并利用 MATLAB 非线性曲线拟合对给出的数据进行处理,然后确定降压药从胃进入血液和排出体外的速度系数以及血液中降压药含量与血压的比例系数,根据模型得出的结果基本符合实际,最后对于一级高血压患者给出建议并做出合理的解释,为通过微分方程解决实际问题提供借鉴参考。


关键词:MATLAB;曲线拟合;微分方程;降压药;血压



DOI:10.19850/j.cnki.2096-4706.2021.17.025


中图分类号:TP39                                    文献标识码:A                                          文章编号:2096-4706(2021)17-0103-04


Research on Blood Pressure Differential Equation Model Based on MATLAB Nonlinear Fitting

LI Xin, WANG Hui

(Heilongjiang University of Technology, Jixi 158100, China)

Abstract: Through the study on the changes of blood pressure in patients with primary hypertension after taking antihypertensive drugs in a short time, a model of the relationship between blood pressure and time is established. The model is based on differential equations and uses MATLAB nonlinear curve fitting to process the given data, and then determines the speed coefficient of antihypertensive drugs from the stomach into the blood and out of the body and the proportional coefficient of antihypertensive drug content in the blood and blood pressure. The results obtained according to the model are basically in line with the reality. Finally, suggestions and reasonable explanations are given for patients with primary hypertension. It provides a reference for solving practical problems through differential equations.

Keywords: MATLAB; curve fitting; differential equation; antihypertensive drug; blood pressure


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作者简介:李鑫(1991.06—),男,汉族,黑龙江鸡西人,助教,硕士,研究方向:应用数学;王慧(1985.10—),女,汉族, 河北肃宁人,讲师,党政综合办公室主任,硕士研究生,研究方向: 数学机械化。