| 饮酒与安全驾车问题的数学模型 |
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| 引用本文： | 徐辉军. 饮酒与安全驾车问题的数学模型[J]. 新乡学院学报(自然科学版), 2010, 27(2): 13-16 |
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| 作者姓名： | 徐辉军 |
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| 作者单位： | 扬州工业职业技术学院,基础部,江苏,扬州,225127 |
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| 摘 要： | 通过分析酒精在人体内的代谢机理,建立了在短时间内喝酒和较长时间内喝酒2种方式下胃、肠和体液里酒精浓度的微分方程模型,借助Mathematica软件,对大李所遇到的情况作出了合理的解释,得出了血液中酒精浓度的变化规律,即血液中酒精浓度与喝酒量成正比,与人体质量成反比;喝酒时间越长,恢复驾车所需的时间也就越长。在保障安全驾车的前提下,对司机允许的饮酒量提出了合理的建议。
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| 关 键 词： | 饮酒驾车 微分方程 Mathematica |
The Mathematical Models on the Issue of Drinking and Safety Driving |
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| XU Hui-jun. The Mathematical Models on the Issue of Drinking and Safety Driving[J]. , 2010, 27(2): 13-16 |
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| Authors: | XU Hui-jun |
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| Affiliation: | XU Hui-jun (Department of Basic course, Yangzhou Polytechnic Institute, Yangzhou 225127, China) |
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| Abstract: | By analyzing the Metabolic Mechanism of alcohol in human bodies, the paper establishes two differential equation models of alcohol density in gastric, intestine and body fluid, one of which is in short period, while the other long. With the mathematics software Mathematica, the paper makes reasonable explanations to the situation Dali faced and analyzes the changing laws of alcohol content in blood： alcohol content in blood is proportional to amount of drinking, and inversely proportional to human body weight; the longer the drinking, the more time it takes to recover for driving. Finally, the paper demonstrates that drivers can drink every day, and provides reasonable suggestions for them. |
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| Keywords: | Mathematica |
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