飲酒駕車模型的數值分析

信息計算科學論文編號:XXLW031 論文字數:7689,頁數:25

目  錄
中文摘要 I
英文摘要 II
目錄 III
前言 1
第一章    研究背景 2
1.1  現狀 2
1.2  已有研究方法 2
1.3  本文研究方法 2
第二章    MATLAB軟件 3
2.1  MATLAB的簡介 3
2.2  MATLAB函數lsqcurvefit 3
2.2.1基本函數原理 3
2.2.2有關函數介紹 3
第三章    飲酒的模型 6
3.1  飲酒的基本原理 6
3.2  房室模型（compartment model） 6
3.3  飲酒模型 7
3.3.1模型假設 7
3.3.2符號說明 7
3.3.3模型建立 8
3.3.4參數估計 10
第四章 酒后駕車數值分析 11
4.1  模型例證 11
4.2  模型方法 11
4.3  模型參數估計 11
4.3  模型分析與檢驗 15
第五章    結果分析 17
致  謝 18
參考文獻 19

摘     要
 本文從生物學角度出發，通過對酒精進入人體后的生理代謝過程進行分析，利用藥物動力學的房室模型，針對不同的飲酒方式，分別建立了在短時間內喝酒和長時間喝酒兩種情況下，血液中酒精的濃度隨時間變化的模型。結合給定的數據，根據Matlab的最小二乘法，用非線性曲線擬合的方法確定參數，準確地模擬出酒精濃度變化趨勢的曲線，擬合結果與原始數據吻合程度較高。繼而，對不同喝酒方式下，血液中酒精濃度進行分析，對一些實際問題給出了合理的分析。為司機安排飲酒與開車的關系提供了借鑒。最后，結合以上模型的分析及所得結果，對Matlab語言在微分方程的應用做了客觀的評價，同時也指出本文中的優缺點。
 
關鍵詞： 房室模型；微分方程；擬合；Matlab
 

Abstract

 This article from the biological point of view, set up in a short period of time to drink alcohol and a long time both cases, the model about the ralation of alcohol in body and time, using the compartment model pharmacokinetics for different ways of drinking, after the analysis process of that alcohol enters the body through metabolism. Using the given data, the least squares method based on Matlab, and non-linear curve fitting method to determine the parameters, we accurately simulate changes in the trend of alcohol concentration curve, fitting results with a higher degree of raw data. Then, on different modes of alcohol, by the analysis of blood alcohol concentration, some practical problems are given a reasonable analysis. It provide the benchmark for the drivers to deal with the relationship between drinking and driving. Finally, combining the analysis and the outcome of the above model, we give an objective eva luation of the Matlab language in the application of differential equations, but also point out the advantages and disadvantages of this article.
 
Keywords: compartment model; differential equation; fitting; Matlab