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药物动力学总室线性乳突数学模型建立及参数分析 被引量:8

Studies on Kinetics Model as a Whole Compartment of Pharmacokinetics
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摘要 目的:对药物动力学总室线性乳突数学模型及参数进行分析进行研究。方法:运用隔室理论及动力学方法建立药物动力学数学模型,用拉氏变换法求解,研究总室与单独隔室(中央室)的数学模型的关系,并对总室模型中各参数的求算进行分析。结果:药物总室与各隔室(中央室)一样遵循一级线性乳突模型,cT为e的幂指数多项式形式,总室与各室e的指数都相等,总室e前面的系数为各室前面系数之和。各参数(转运常数)由其与iα的关系方程组算得。结论:总室与单独室(中央室)一样可求得各动力学参数。 Objective. To establish a new kinetic model as a whole compartment of pharmacokinetics. Methods: The model has been set up by way of compartment and kinetic theories, and the solutions have obtained by laplace transform. The relations between the center and a whole compartment have been comparatively dealt with completely. Results: The whole compartment pharmacokinetic carry out the linear mammary model with one-order kinetics in accordance with the signal or center compartments, being as similar as the expressions and exponents ,difference of coefficients before exponents, of which the whole compartment model summed up the signal (center). The kinetics parameters of which has been calculated out according to the expressions groups consisting of ai and the parameters. Conclusion: The kinetic model as a whole compartment of pharmacokinetic has been in accordance with linear mammary, with one-order kinetics. The parameters have obtained by the whole compartment model as same as by the center compartment.
出处 《数理医药学杂志》 2006年第6期561-564,共4页 Journal of Mathematical Medicine
基金 国家自然科学基金(30472199) 国家中医药管理局中医药科研基金(02-03ZP41)资助
关键词 总室模型 数学模型 拉氏变换 药物动力学 whole compartmental model kinetics model linear mammary model with one-order kinetics mathematics expressions
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参考文献3

  • 1Toseph G.Fleiskaker Randall B.Smith Compartmental analysis in pharmacokinetics J.clin.pharmacol,1987,27:922~926.
  • 2D.D.Mooney,R.J.Swift.A course IN Mathematical Modeling.The Mathematical Association of America,1998,134.
  • 3《数学手册》编写组.数学手册.第8版.北京:高等教育出版社,2000,115.

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