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Volumn 34, Issue 6, 2007, Pages 807-827

One-compartment model with Michaelis-Menten elimination kinetics and therapeutic window: An analytical approach

Author keywords

Analytical solution; Compartment model; Lambert W function; Michaelis Menten elimination kinetics; Pharmacokinetics; Therapeutic window

Indexed keywords

ANALYTIC METHOD; ARTICLE; COMPARTMENT MODEL; COMPUTER PROGRAM; DRUG ELIMINATION; DRUG HALF LIFE; DRUG METABOLISM; MICHAELIS CONSTANT; PRIORITY JOURNAL;

EID: 36448991175     PISSN: 1567567X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10928-007-9070-4     Document Type: Article
Times cited : (45)

References (26)
  • 1
    • 33745792813 scopus 로고    scopus 로고
    • Pharmacokinetic-pharmacodynamic modelling: History and perspectives
    • Csajka C and Verotta D (2006). Pharmacokinetic-pharmacodynamic modelling: history and perspectives. J Pharmacokin Biopharm 33: 227-279
    • (2006) J Pharmacokin Biopharm , vol.33 , pp. 227-279
    • Csajka, C.1    Verotta, D.2
  • 2
    • 0015743080 scopus 로고
    • A modern view of pharmacokinetics
    • Wagner JG (1973). A modern view of pharmacokinetics. J Pharmacokin Biopharm 1: 363-401
    • (1973) J Pharmacokin Biopharm , vol.1 , pp. 363-401
    • Wagner, J.G.1
  • 5
    • 0004412467 scopus 로고
    • Complete solution of the three-compartment model in steady state after single injection of radioactive tracer
    • Skinner SM, Clark RE, Baker N and Shipley RA (1959). Complete solution of the three-compartment model in steady state after single injection of radioactive tracer. Am J Physiol 196: 238-244
    • (1959) Am J Physiol , vol.196 , pp. 238-244
    • Skinner, S.M.1    Clark, R.E.2    Baker, N.3    Shipley, R.A.4
  • 7
    • 0030815416 scopus 로고    scopus 로고
    • Use of a five-compartment closed model to describe the effects of ethanol inhalation on the transport and elimination of injected pyruvate in the rat
    • Wu G (1997). Use of a five-compartment closed model to describe the effects of ethanol inhalation on the transport and elimination of injected pyruvate in the rat. Alcohol Alcohol 32: 555-561
    • (1997) Alcohol Alcohol , vol.32 , pp. 555-561
    • Wu, G.1
  • 8
    • 0001382855 scopus 로고
    • The kinetics of alcohol elimination in man
    • Lundquist F and Wolthers H (1958). The kinetics of alcohol elimination in man. Acta Pharmacol Toxicol 14: 265-289
    • (1958) Acta Pharmacol Toxicol , vol.14 , pp. 265-289
    • Lundquist, F.1    Wolthers, H.2
  • 9
    • 34250442331 scopus 로고
    • Properties of the Michaelis-Menten equation and its integrated form which are useful in pharmacokinetics
    • Wagner JG (1973). Properties of the Michaelis-Menten equation and its integrated form which are useful in pharmacokinetics. J Pharmacokin Biopharm 1: 103-121
    • (1973) J Pharmacokin Biopharm , vol.1 , pp. 103-121
    • Wagner, J.G.1
  • 10
    • 0020072824 scopus 로고
    • On the solution to the Michaelis-Menten equation
    • Beal SL (1982). On the solution to the Michaelis-Menten equation. J Pharmacokin Biopharm 10: 109-119
    • (1982) J Pharmacokin Biopharm , vol.10 , pp. 109-119
    • Beal, S.L.1
  • 11
    • 0020900427 scopus 로고
    • Computation of the explicit solution to the Michaelis-Menten equation
    • Beal SL (1983). Computation of the explicit solution to the Michaelis-Menten equation. J Pharmacokin Biopharm 11: 641-657
    • (1983) J Pharmacokin Biopharm , vol.11 , pp. 641-657
    • Beal, S.L.1
  • 12
    • 0021163097 scopus 로고
    • On the identification of Michaelis-Menten elimination parameters from a single dose-response curve
    • Godfrey KR and Fitch WR (1984). On the identification of Michaelis-Menten elimination parameters from a single dose-response curve. J Pharmacokin Biopharm 12: 193-221
    • (1984) J Pharmacokin Biopharm , vol.12 , pp. 193-221
    • Godfrey, K.R.1    Fitch, W.R.2
  • 14
    • 0017074754 scopus 로고
    • Monitoring plasma concentrations of neurolepties
    • Lader M (1975). Monitoring plasma concentrations of neurolepties. Pharmakopsychiatr Neuropsychopharmakol 9: 170-177
    • (1975) Pharmakopsychiatr Neuropsychopharmakol , vol.9 , pp. 170-177
    • Lader, M.1
  • 15
    • 0015425955 scopus 로고
    • Physiologic and clinical effects of chropromazine and their relationship to plasma level
    • Sakalis G, Gurry SH, Mould GP and Lader MH (1972). Physiologic and clinical effects of chropromazine and their relationship to plasma level. Clin Pharmacol Ther 13: 931-946
    • (1972) Clin Pharmacol Ther , vol.13 , pp. 931-946
    • Sakalis, G.1    Gurry, S.H.2    Mould, G.P.3    Lader, M.H.4
  • 17
    • 0038740695 scopus 로고    scopus 로고
    • Estimation of population pharmacokinetic parameters in the presence of non-compliance
    • Mu S and Ludden TM (2003). Estimation of population pharmacokinetic parameters in the presence of non-compliance. J Pharmacokin Biopharm 30: 53-81
    • (2003) J Pharmacokin Biopharm , vol.30 , pp. 53-81
    • Mu, S.1    Ludden, T.M.2
  • 18
    • 28444470848 scopus 로고    scopus 로고
    • The population pharmacokinetics of citalopram after deliberate self-poisoning: A bayesian approach
    • Friberg LE, Isbister GK, Hackett LP and Duffull SB (2005). The population pharmacokinetics of citalopram after deliberate self-poisoning: a bayesian approach. J Pharmacokin Biopharm 32: 571-605
    • (2005) J Pharmacokin Biopharm , vol.32 , pp. 571-605
    • Friberg, L.E.1    Isbister, G.K.2    Hackett, L.P.3    Duffull, S.B.4
  • 19
    • 0042254036 scopus 로고
    • Usefulness of the two-compartment open model in Pharmacokinetics
    • Metzler CM (1971). Usefulness of the two-compartment open model in Pharmacokinetics. J Amer Sta Assoc 66: 49-53
    • (1971) J Amer Sta Assoc , vol.66 , pp. 49-53
    • Metzler, C.M.1
  • 20
    • 0021442687 scopus 로고
    • Parameter estimation in approximate enzyme kinetics models
    • Srinivasan V and Aiken RC (1984). Parameter estimation in approximate enzyme kinetics models. Math Biosci 69: 235-242
    • (1984) Math Biosci , vol.69 , pp. 235-242
    • Srinivasan, V.1    Aiken, R.C.2
  • 21
    • 0021161825 scopus 로고
    • The deterministic identifiability of nonlinear pharmacokinetic models
    • Godfrey KR and Fitch WR (1984). The deterministic identifiability of nonlinear pharmacokinetic models. J Pharmacokin Biopharm 12: 177-191
    • (1984) J Pharmacokin Biopharm , vol.12 , pp. 177-191
    • Godfrey, K.R.1    Fitch, W.R.2
  • 23
    • 0031582628 scopus 로고    scopus 로고
    • Closed form solution for time-dependent enzyme kinetics
    • Schnell S and Mendoza C (1997). Closed form solution for time-dependent enzyme kinetics. J Theor Biol 187: 207-212
    • (1997) J Theor Biol , vol.187 , pp. 207-212
    • Schnell, S.1    Mendoza, C.2
  • 24
    • 5644245248 scopus 로고    scopus 로고
    • Progress curve analysis for enzyme and microbial kinetic reactions using explicit solutions based on the Lambert W function
    • Goudar CT, Harris KS, McInerney MJ and Suflita JM (2004). Progress curve analysis for enzyme and microbial kinetic reactions using explicit solutions based on the Lambert W function. J Microbiological Methods 59: 317-326
    • (2004) J Microbiological Methods , vol.59 , pp. 317-326
    • Goudar, C.T.1    Harris, K.S.2    McInerney, M.J.3    Suflita, J.M.4
  • 25
    • 15244363365 scopus 로고    scopus 로고
    • State-dependent impulsive models of integrated pest management (IPM) strategies and their dynamic consequences
    • Tang SY and Cheke RA (2005). State-dependent impulsive models of integrated pest management (IPM) strategies and their dynamic consequences. J Math Biol 50: 257-292
    • (2005) J Math Biol , vol.50 , pp. 257-292
    • Tang, S.Y.1    Cheke, R.A.2
  • 26
    • 13244265933 scopus 로고    scopus 로고
    • Integrated pest management models and their dynamical behavior
    • Tang SY, Xiao YN, Chen LS and Cheke RA (2005). Integrated pest management models and their dynamical behavior. Bull Math Biol 67: 115-135
    • (2005) Bull Math Biol , vol.67 , pp. 115-135
    • Tang, S.Y.1    Xiao, Y.N.2    Chen, L.S.3    Cheke, R.A.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.