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中药复方网络药效动力学数学模型的建立及参数测算

The Establishment of Mathematical Model and Parameter Determination of Network Pharmacodynamics for Chinese Materia Medica Formula

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【作者】 贺福元; 邓凯文; 刘文龙; 石继连; 邹欢; 唐宇; 刘平安;

【Author】 HE Fuyuan~(1,2,3) DENG Kaiwen~4 LIU Wenglong~(1,2) SHI Jilian~(1,2) ZOU Huan~(1,2) Tang Yu~2 LIU Pingan~2 1 Department of Pharmaceutics,Hunan University of Tradition Chinese Medicine,Changsha (410208);2 Property and pharmacodaynamic Key laboratory of TCMM,State Administration of Traditional Chinese Medicine,Changsha(410208);3 Pharmaceutical Preparation Technology and Evaluation Laboratory of TCM,Hunan University of Tradition Chinese Medicine Changsha(410208); 4 The First Affinity Hospital,Hunan University of Tradition Chinese Medicine Changsha(410007),

【机构】 湖南中医药大学药学院; 中药药性与药效国家中医药管理局重点实验室; 湖南中医药大学现代中药制剂制备技术与评价实验室; 湖南中医药大学第一附属医院;

【摘要】 目的:创立中药复方多成分的网络药效动力学数学模型及参数测算方法。方法:利用网络动力学原理建模并结合拉氏变换与线性代数求得方程的通解及参数测算方法。结果:建立了中药复方网络药效动力学的线性数学模型,其特征为e的幂指数多项式;各节点的平衡常数可通过建立AUC与节点初始量的线性方程求得,注射与口服均有相似的体内节点平衡常数求算方法,但口服还可求出吸收平衡常数。据此可进行中药复方的量-比、量-时、量-效网络药效动力学研究;结论:中药复方的网络药效学参数可由AUC构成线性方程组求得;其作用强弱体现初始值与平衡常数乘积代数和的网络生物守恒原理。

【Abstract】 AIM:To establish the mathematical model and determination method of network pharmacodynamics for Chinese Materia Medica Formula.METHODS:By network pharmacokinetic principle,combining with the Laplace Transform,as well as Linear Algebra,the general solution for equation of network pharmacodynamics were obtained and their parameters were analysed. RESULTS:The CMMs fomula network pharmacodynamic model was established with e power polynomial. The equilibrium constants of each nodals in network were obtained by solving linear equation established with AUC and initiate quantitation for network nodal.The equilibrium constants for injection was similar with for oral administration,only supernumerary of the absorption equilibrium constants.That suggested the network pharmacodynamics for dose-ratios,dose-chrono and dose-effect of the CMMs formula was carried out.CONCLUSION:The network pharmacodynamic parameters key for CMMs fomula could be obtained from linear equation consisted of AUC;There is network biologic principle of conservation that the interaction degree is decided the initiate value for each nodals in network is equal to the summation of producet quilibrium constant versus AUC.

  • 【会议录名称】 全国中药药理学会联合会学术交流大会论文摘要汇编
  • 【会议名称】全国中药药理学会联合会学术交流大会
  • 【会议时间】2012-11-01
  • 【会议地点】中国江苏南京
  • 【分类号】R285
  • 【主办单位】中国药理学会中药药理专业委员会
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