朱家壁. 双室模型药物静脉输注方案的数学探讨J. 药学学报, 1980, 15(12): 741-749.
引用本文: 朱家壁. 双室模型药物静脉输注方案的数学探讨J. 药学学报, 1980, 15(12): 741-749.
Zhu Jiabi. MATHEMATICAL ANALYSIS CONCERNING THE DOSAGE REGIMEN OF INTRAVENOUS INFUSION OF TWO-COMPARTMENT MODEL DRUGSJ. Acta Pharmaceutica Sinica, 1980, 15(12): 741-749.
Citation: Zhu Jiabi. MATHEMATICAL ANALYSIS CONCERNING THE DOSAGE REGIMEN OF INTRAVENOUS INFUSION OF TWO-COMPARTMENT MODEL DRUGSJ. Acta Pharmaceutica Sinica, 1980, 15(12): 741-749.

双室模型药物静脉输注方案的数学探讨

MATHEMATICAL ANALYSIS CONCERNING THE DOSAGE REGIMEN OF INTRAVENOUS INFUSION OF TWO-COMPARTMENT MODEL DRUGS

  • 摘要: 静脉输注是临床上广泛用于抢救危重病例的一种有效的给药方法,缺点是开始输注时血药浓度偏低。为了使血药浓度迅即达到临床治疗的最佳有效血药浓度,有一种简便易行的方法是在开始时立即静注一个底药剂量,同时以恒定速度进行静脉输注,以维持该血药浓度。这种静脉输注方案的关键问题在于采用何种底药剂量和以何种速度静脉输注。对于双室模型的药物,1971年及1972年Boyes及Mitenko先后提出了两种不同的静脉输注方案。本文用组合曲线求组合常数的方法推导出了介于上述两种方案之间的一种新的静脉输注方案,给出了这种新方案的“血药浓度一时间”曲线公式,并从理论上证明这种方案的优越性。

     

    Abstract: The time required to obtain steady-state plasma level by intravenous infusion will be quite long for a drug with a long half-life. It may be convenient in such cases to administer an intravenous loading dose to attain immediately the desired drug concentration and then attempt to maintain this concentration by continuous infusion.Equations (1) and (2) describing the dosage regimen of intravenous infusion of two-compartment model drugs were given by Boyes in 1971.X0=Css·Vc (1)k0=Css·Vc·k10 (2)where X0 is the loading dose, k0 is the zero-order rate constant of intravenous infusion, Css is the steadystate plasma level which may be adjusted to the desired plasma concentration for clinical treatment, Vc is the volume of central compartment, and k10 is the first-order elimination rate constant from the central compartment.The plasma level from this dosage regimen is slightly lower than that of the desired plasma level.In 1972, Mitenko presented the following equations:X0=(k10)/β·Css·Vc (3)k0=Css·Vc·k10 (4)In equation (3) and (4) β is the slow disposition rate constant, and the other symbols are defined as previously described.The plasma level of this dosage regimen is higher than that of the desired plasm level.Considering the advantages and shortcomings of these two dosage regimens, the author derived the following equations:X0=((1/α)+(1/β)-((k10)/(αβ)))·k10·Css·Vc (5)K0=Css·Vc·K10 (6)where α is the fast disposition rate constant.From this dosage regimen, the author obtained the equation of plasma level-time curve:where t is the time of intravenous infusion, Ct is the plasma level at time t.The advantage of this dosage regimen was theoretically evaluated.

     

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