局部药代动力学的药物浓度时空方程初探  

Elementary study on local drug concentration-space-time equation of local pharmacokinetics

作　　者：许健健[1] 储成顶[1] 周浩炳[1] 孙昕[1] 刘飞[1] 

机构地区：[1]合肥工业大学控释药物研究室,合肥230009

出　　处：《中国新药杂志》2003年第4期284-287,共4页Chinese Journal of New Drugs

基　　金：国家科学技术部基础研究快速反应支持项目 (国科基字 2 0 0 1-5 1号 )

摘　　要：目的 :建立局部植入给药的药物浓度时空方程。方法 :将局部药物浓度时空方程构建为空间分布函数和时间分布函数 (药物浓度经时方程 )的积函数 ,并以加权平均及多元分析的数学手段予以证明及推导。结果 :四维时空的局部植入给药的药物浓度时空方程的通式为 :C(t,X ,Y ,Z) =F(X ,Y ,Z)·C(t) ,F(X ,Y ,Z) =B0 +B1X +B2 Y +B3 Z +B4r3 +B5r2 +B6r ,C(t) =A1e-Kat+A2 e-Ket+A3 e-Krt。两维变量的简化的药物浓度时空方程为C(t,ρ) =F(ρ)·C(t) ,F(ρ) =D0 +D1ρ+D2 ρ2 +D3 ρ3 ,C(t)同上。结论 :推导基本合理 ,并在初步的动物实验中得以验证。Objective:To set up the local plasma drug concentration space time equation of the local embedding.Methods:The cocal drug concentration space time equation was set up to the product of drug concentration time and concentration space position function,and then proved by mathematical methods of weighted mean and multivariate analysis.Results:The general format of local plasma drug concentration equation in the fourth dimension was as below: C (t,x,y,z)=F(x,y,z)· C (t),F(x,y,z)=B 0+B 1X+B 2Y+B 3Z+B 4r 3+B 5r 2+B 6r, C (t)=A 1e -K at +A 2e -K et +A 3e -K rt .The simplifying local plasma drug concentration space time equation in two dimension was as below: C (t,ρ)=F(ρ)· C (t),F(ρ)=D 0+D 1ρ+D 2ρ 2+D 3ρ 3 , C (t) is ditto.Conclusion:The deduction was rational and proved in the animal 's elementary experimentation.

关 键 词：局部药物浓度时空方程 加权平均 多元回归 

分 类 号：R969.1[医药卫生—药理学]