A Simple Analytical Solution to the Three-Compartment Pharmacokinetic Model Suitable for Computer-Controlled Infusion Pumps

IEEE Transactions on Biomedical Engineering

Volumn 38, Issue 6, 1991, Pages 522-525

  Bailey, James M ^a   Shafer, Steven L ^b  

^a EMORY UNIVERSITY SCHOOL OF MEDICINE   (United States)

^b VA PALO ALTO HEALTH CARE SYSTEM   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BIOMEDICAL EQUIPMENT--CONTROL; CONTROL SYSTEMS, DIGITAL--MEDICAL APPLICATIONS; MATHEMATICAL MODELS;

INFUSION PUMPS; INTRAVENOUS DRUGS; PHARMACOKINETIC MODELS;

DRUG PRODUCTS;

ARTICLE; COMPUTER; INFUSION PUMP; PHARMACOKINETICS;

INFUSION PUMPS; MODELS, BIOLOGICAL; PHARMACOKINETICS; SUPPORT, U.S. GOV'T, NON-P.H.S.; THERAPY, COMPUTER-ASSISTED;

EID: 0026174235     PISSN: 00189294     EISSN: 15582531     Source Type: Journal    
DOI: 10.1109/10.81576     Document Type: Article

References (16)

1. E. Krüger-Thiemer, “Continuous intravenous infusion and multicompartment accumulation.” Eur. J. Clin. Pharmacol., vol. 4, pp. 317–324, Oct. 1968.
2. H. Schwilden, “A general method for calculating the dosage scheme in linear pharmacokinetics,” Eur. J. clin. Pharmacol., vol. 20, pp. 379–383, May 1981.
3. J. M. Alvis, J. G. Reves, A. V. Govier, P. G. Menkhaus, C. E. Henling, J. A. Spain, and E. Bradley, ”Computer assisted continuous infusions of fentanyl during cardiac anesthesia; comparison with a manual method,” Anesthesiology, vol. 63. pp. 41–49, July 1985.
4. J. M. Alvis, J. G. Reves, J. A. Spain, and L. C. Sheppard, ”Computer-assisted continuous infusion of the intravenous analgesic fentanyl during general anesthesia-an interactive system, IEEE Trans. Biomed. Eng., vol. BME-33, pp. 323–329, May 1985.
5. M. E. Ausems, D. R. Stanski, C. C. Hug, ”An evaluation of the accuracy of pharmacokinetic data for the computer assisted infusion of alfentanil,” Bril. J. Anaesth., vol. 57, pp. 1217–1225, Dec. 1985.
6. S. L. Shafer, L. C. Siegel, J. E. Cooke, and J. C. Scott, ”Testing computer controlled infusion pumps by simulation,” Anesthesiology, vol. 68, pp. 261–266. Feb. 1988.
7. D. L. Raemer, A. Buschman. J. R. Varvel, B. K. Philip, M. D. Johnson, D. A. Stein, and S. L. Shafer, ”The prospective use of population pharmacokinetics in a computer-driven infusion system tor alfentanil,” Anesthesiology, to be published.
8. P. O. Maitre, M. E. Ausems, S. Vozeh, and D. R. Stanski, ”Evaluating the accuracy of using population pharmacokinetic data to predict plasma concentrations of alfentanil,” Anesthesiology, vol. 68, pp. 59–67, Jan. 1988.
9. J. R. Jacobs, “Analytical solution to the three-compartment pharmacokinetic model,” IEEE Trans. Biomed. Eng., vol. 35, pp. 763– 765, Sept. 1988.
10. —, “Algorithm for optimal linear model-based control with application to pharmacokinetic model-driven drug delivery.” IEEE Trans. Biomed. Eng., vol. 37, pp. 107–109. Jan. 1990.
11. S. L. Shafer, J. R. Varvel, N. Aziz, and J. C. Scott, “Pharmacokinetic of fentanyl administered by computer controlled infusion pump,” Anesthesiology, to be published.
12. L. B. Sheiner, D. R. Stanski. S. Vozeh, R. D. Miller, and J. Ham, “Simultaneous modeling of pharmacokinetic and pharmacodynamics: Application to d-tubocurarine.” Clin. Pharmacol. Ther., vol. 25. pp. 358–371, Mar. 1979.
13. J. C. Scott and D. R. Stanski, “Decreased fentanyl and alfentanil dose requirements with age. A simultaneous pharamcokinetic and pharmacodynamic evaluation,” J. Pharm. Exp. Ther., vol. 240, pp. 159–166, Jan. 1987.
14. L. E. Mather, R. L. Ringrose, and K. Austin, “Determination of pharmacokinetic constants after multiple infusions of drugs.” Eur. J. Clin. Pharmacol., vol. 23. pp. 353–358, Oct. 1982.
15. R. Suverkrup, “Segmentally continuous input functions in linear multicompartment systems.” J. Pharm. Sci., vol. 74, pp. 136–141. Feb. 1985.
16. D. E. Wurster, R. P. Shrewsbury, “Simulation package for multiple intravenous infusions of two compartment pharmacokinetic drugs.” Int. J. Biomed. Compul., vol. 12, pp. 455–470. Nov. 1981.