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Two-Compartment Pharmacokinetic Drug Infusion Calculator

Many drugs exhibit biphasic distribution kinetics: rapid equilibration between plasma and vessel-rich organs (central compartment) followed by slower distribution into tissues (peripheral compartment).

Zero-order constant intravenous drug delivery rate.

Systemic hepatic/renal clearance.

Initial volume of distribution (blood and well-perfused organs).

Apparent tissue volume of distribution.

Distribution clearance between central and peripheral compartments.

Calculated Result
5.00 mg/L

Steady-State Concentration

Terminal Elimination Half-Life

5.8 hr

Distribution Half-Life

0.48 hr

Central Compartment Vc

25.0 L

Calculation Breakdown

  1. Steady-State Plasma Concentration (Css)k0 / CL = 60 / 12 = 5.00 mg/L
  2. Rapid Distribution Half-Life (t_1/2,alpha)ln(2) / alpha = 0.48 hr
  3. Terminal Elimination Half-Life (t_1/2,beta)ln(2) / beta = 5.78 hr

What Is the Two-Compartment Pharmacokinetic Drug Infusion Calculator?

The two-compartment pharmacokinetic model represents drug distribution between blood (central) and peripheral tissue reservoirs.

How Does the Two-Compartment Pharmacokinetic Drug Infusion Calculator Work?

Micro-rate constants (k10, k12, k21) define an algebraic quadratic characteristic equation whose roots yield distribution rate alpha and elimination rate beta.

Two-Compartment Pharmacokinetic Drug Infusion Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

C_{ss} = rac{k_0}{ ext{CL}}, quad r^2 + (k_{10} + k_{12} + k_{21}) r + k_{10} k_{21} = 0, quad t_{1/2,eta} = rac{ln(2)}{eta}

Two-compartment open model characteristic roots and steady-state concentration equations.

How to Use the Two-Compartment Pharmacokinetic Drug Infusion Calculator

  1. Enter constant infusion rate in mg/hr, systemic clearance in L/hr, central volume Vc, peripheral volume Vp, and distribution clearance Q.

Step-by-Step Example Calculation

Intravenous Anesthetic Infusion (e.g., Propofol)

Input Values:

infusionRateMgHr:60
clearanceLHr:12
centralVolumeVc:25
peripheralVolumeVp:50
intercompartmentalClQ:18
Worked Steps: Steady-state Css = 5.00 mg/L, Distribution t_1/2,alpha = 0.45 hr, Elimination t_1/2,beta = 3.82 hr.

Understanding Your Result

Displays steady-state plasma concentration Css, rapid alpha distribution half-life, and terminal beta elimination half-life.

Factors That Affect the Result

  • High tissue binding expands peripheral volume Vp, prolonging terminal elimination half-life.

When Should You Use This Calculator?

  • Target-controlled infusion (TCI) anesthesia, therapeutic drug monitoring of antibiotics (vancomycin, aminoglycosides), and chemotherapy regimen design.

Assumptions & Limitations

  • Assumes first-order linear elimination and distribution kinetics without metabolic enzyme saturation.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Standard classical two-compartment pharmacokinetic formulation.

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