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三种复苏液治疗失血性休克的血气指标定量分析数学模型
引用本文:李冬梅,刘金锋,田广悦.三种复苏液治疗失血性休克的血气指标定量分析数学模型[J].数学的实践与认识,2009,39(11).
作者姓名:李冬梅  刘金锋  田广悦
作者单位:1. 哈尔滨理工大学,应用数学系,黑龙江,哈尔滨,150080
2. 哈尔滨医科大学第二医院,麻醉科,黑龙江,哈尔滨,150086
基金项目:黑龙江省自然科学基金,国家自然科学基金 
摘    要:针对三种复苏液治疗失血性休克的血气指标,利用机理分析方法建立了血气指标的微分模型,给出血气指标的指数曲线表达式,并结合试验数据进行了曲线拟合,得到了指数曲线的具体形式,结果与试验数据高度吻合同时分析了用药的效果.利用统计分析方法给出三种复苏液治疗失血性休克的动脉血、静脉血和肠系膜静脉血的血气指标间的回归曲线关系式.

关 键 词:失血性休克  复苏液  血气指标  指数曲线  回归曲线

Bloodgas Quantitative Analysis Model of Three Kinds of Resusitation Liquid Treating Hemorrhagic Shock
LI Dong-mei,LIU Jin-feng,TIAN Guang-yue.Bloodgas Quantitative Analysis Model of Three Kinds of Resusitation Liquid Treating Hemorrhagic Shock[J].Mathematics in Practice and Theory,2009,39(11).
Authors:LI Dong-mei  LIU Jin-feng  TIAN Guang-yue
Abstract:According bloodgas index of three kinds of resusitation liquid treating hemorrhagic shock, bloodgas index differential model was developed and exponential curve expression was setup with the methods of analysis of mathematical mechanism. The curve fitting engaged in experimental data and special exponential curve was obtained. It is high degree coincidenc of experimental data and analyses the curative effects of taking medicine. Regression curve equation of artery, vein and mesenteric vein bloodgas index of three kinds of resusitation liquid treating hemorrhagic shock was got with statistical analysis.
Keywords:hemorrhagic shock  resusitation liquid  bloodgas index  exponential curve  regression curve
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