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Dynamics of a two-receptor binding model: How affinities and capacities translate into long and short time behaviour and physiological corollaries
1. | Mathematical Institute, Leiden University, PB 9512, 2300 RA Leiden, Netherlands |
2. | Advanced Modeling & Simulation; Clinical Pharmacology, Janssen Research & Development, a division of Janssen Pharmaceutica N.V., Turnhoutseweg 30, 2340 Beerse, Belgium, Belgium |
References:
[1] |
L. Gibiansky, E. Gibiansky, T. Kakkar and P. Ma, Approximations of the target-mediated drug disposition model and identifying of model parameters,, J. Pharmacokinetics Phamacodynamics, 35 (2008), 573.
doi: 10.1007/s10928-008-9102-8. |
[2] |
L. Gibiansky and E. Gibiansky, Target-mediated drug disposition model for drugs that bind to more than one target,, J. Pharmacokinetics Phamacodynamics, 37 (2010), 323.
doi: 10.1007/s10928-010-9163-3. |
[3] |
D. Mager and W. J. Jusko, General pharmacokinetic model for drugs exhibiting target-mediated drug disposition,, J. Pharmacokinetics and Phamacodynamics, 28 (2001), 507.
doi: 10.1023/A:1014414520282. |
[4] |
D. Mager and W. Krzyzanski, Quasi-equilibrium pharmacokinetic model for drugs exhibiting target-mediated drug disposition,, Pharm. Research, 22 (2005), 1589.
doi: 10.1007/s11095-005-6650-0. |
[5] |
L. Michaelis and M. L. Menten, Die Kinetik der Invertinwirkung,, Biochem. Z., 49 (1913), 333. Google Scholar |
[6] |
L. A. Peletier and J. Gabrielsson, Dynamics of target-mediated drug disposition,, European Journal of Pharmaceutical Sciences, 38 (2009), 445.
doi: 10.1016/j.ejps.2009.09.007. |
[7] |
L. A. Peletier, N. Benson and P. H. van der Graaf, Impact of plasma-protein binding on receptor occupancy: An analytical description,, J. Theor. Biology, 256 (2009), 253.
doi: 10.1016/j.jtbi.2008.09.014. |
[8] |
E. Snoeck, Ph. Jacqmin, A. van Peer and M. Danhof, A combined specific target site binding and pharmacokinetic model to explore the non-linear disposition of draflazine,, J. Pharmacokinetics and Biopharmaceutics, 27 (1999), 257.
doi: 10.1023/A:1020943029130. |
[9] |
L. A. Segel, On the validity of the steady state assumption of enzyme kinetics,, Bull. Math. Biol., 50 (1988), 579.
doi: 10.1016/S0092-8240(88)80057-0. |
[10] |
L. A. Segel and M. Slemrod, The quasi-steady state assumption: A case study in perturbation,, SIAM Review, 31 (1989), 446.
doi: 10.1137/1031091. |
[11] |
Y. Sugiyama and M. Hanano, Receptor-mediated transport of peptide hormones and its importance in the overall hormone disposition in the body,, Pharm. Research {\bf 6} (1989), 6 (1989), 192. Google Scholar |
show all references
References:
[1] |
L. Gibiansky, E. Gibiansky, T. Kakkar and P. Ma, Approximations of the target-mediated drug disposition model and identifying of model parameters,, J. Pharmacokinetics Phamacodynamics, 35 (2008), 573.
doi: 10.1007/s10928-008-9102-8. |
[2] |
L. Gibiansky and E. Gibiansky, Target-mediated drug disposition model for drugs that bind to more than one target,, J. Pharmacokinetics Phamacodynamics, 37 (2010), 323.
doi: 10.1007/s10928-010-9163-3. |
[3] |
D. Mager and W. J. Jusko, General pharmacokinetic model for drugs exhibiting target-mediated drug disposition,, J. Pharmacokinetics and Phamacodynamics, 28 (2001), 507.
doi: 10.1023/A:1014414520282. |
[4] |
D. Mager and W. Krzyzanski, Quasi-equilibrium pharmacokinetic model for drugs exhibiting target-mediated drug disposition,, Pharm. Research, 22 (2005), 1589.
doi: 10.1007/s11095-005-6650-0. |
[5] |
L. Michaelis and M. L. Menten, Die Kinetik der Invertinwirkung,, Biochem. Z., 49 (1913), 333. Google Scholar |
[6] |
L. A. Peletier and J. Gabrielsson, Dynamics of target-mediated drug disposition,, European Journal of Pharmaceutical Sciences, 38 (2009), 445.
doi: 10.1016/j.ejps.2009.09.007. |
[7] |
L. A. Peletier, N. Benson and P. H. van der Graaf, Impact of plasma-protein binding on receptor occupancy: An analytical description,, J. Theor. Biology, 256 (2009), 253.
doi: 10.1016/j.jtbi.2008.09.014. |
[8] |
E. Snoeck, Ph. Jacqmin, A. van Peer and M. Danhof, A combined specific target site binding and pharmacokinetic model to explore the non-linear disposition of draflazine,, J. Pharmacokinetics and Biopharmaceutics, 27 (1999), 257.
doi: 10.1023/A:1020943029130. |
[9] |
L. A. Segel, On the validity of the steady state assumption of enzyme kinetics,, Bull. Math. Biol., 50 (1988), 579.
doi: 10.1016/S0092-8240(88)80057-0. |
[10] |
L. A. Segel and M. Slemrod, The quasi-steady state assumption: A case study in perturbation,, SIAM Review, 31 (1989), 446.
doi: 10.1137/1031091. |
[11] |
Y. Sugiyama and M. Hanano, Receptor-mediated transport of peptide hormones and its importance in the overall hormone disposition in the body,, Pharm. Research {\bf 6} (1989), 6 (1989), 192. Google Scholar |
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