Fractional kinetics in drug absorption and disposition processes

Journal of Pharmacokinetics and Pharmacodynamics

Volumn 36, Issue 2, 2009, Pages 165-178

  Dokoumetzidis, Aristides ^a   MacHeras, Panos ^b  

^a QUEEN'S UNIVERSITY BELFAST   (United Kingdom)

^b UNIVERSITY OF ATHENS   (Greece)

Author keywords

Anomalous kinetics; Fractional kinetics; Power law

Indexed keywords

AMIODARONE; REMOXIPRIDE;

ARTICLE; CONTROLLED STUDY; DRUG ABSORPTION; DRUG DISPOSITION; DRUG RELEASE; DRUG SOLUBILITY; KINETICS; MATHEMATICAL MODEL; PARAMETERS OF MEASUREMENT AND ANALYSIS; PHARMACOKINETICS; PRIORITY JOURNAL;

ABSORPTION; HUMANS; MODELS, BIOLOGICAL; MODELS, STATISTICAL; PHARMACEUTICAL PREPARATIONS; PHARMACOKINETICS; SOLUBILITY; TISSUE DISTRIBUTION;

EID: 67349234502     PISSN: 1567567X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10928-009-9116-x     Document Type: Article

References (27)

1. BJ West W Deering 1994 Fractal physiology for physicists: Levy statistics Phys Rep 246 1 100 10.1016/0370-1573(94)00055-7
2. R Kopelman 1988 Fractal reaction kinetics Science 241 1620 1626 10.1126/science.241.4873.1620
3. ME Wise 1985 Negative power functions of time in pharmacokinetics and their implications J Phamacokinet Biopharmaceut 13 309 346 10.1007/BF01065658
4. GT Tucker PR Jackson GC Storey DW Holt 1984 Amiodarone disposition: polyexponential, power and gamma functions Eur J Clin Pharmacol 26 655 656 10.1007/BF00543506
5. J Fuite R Marsh J Tuszynski 2002 Fractal pharmacokinetics of the drug Miberfradil in the liver Phys Rev E Stat Nonlinear Soft Matter Phys 66 021904 10.1103/PhysRevE.66.021904
6. RE Marsh JA Tuszyński 2006 Fractal Michaelis-Menten kinetics under steady state conditions: application to Mibefradil Pharm Res 23 2760 2767 10.1007/s11095-006-9090-6
7. P Macheras 1996 A fractal approach to heterogeneous drug distribution: calcium pharmacokinetics Pharm Res 13 663 670 10.1023/A:1016031129053
8. K Kosmidis V Karalis P Argyrakis P Macheras 2004 Michaelis-Menten kinetics under spatially constrained conditions: application to Mibefradil pharmacokinetics Biophys J 87 1498 1506 10.1529/biophysj.104.042143
9. P Macheras 1995 Carrier-mediated transport can obey fractal kinetics Pharm Res 12 541 548 10.1023/A:1016201929304
10. M Weiss 1999 The anomalous pharmacokinetics of amiodarone explained by nonexponential tissue trapping J Pharmacokinet Biopharm 27 383 396 10.1023/A:1020965005254
11. G Phan B Le Gall JR Deverre E Fattal H Bénech 2006 Predicting plutonium decorporation efficacy after intravenous administration of DTPA formulations: Study of pharmacokinetic-pharmacodynamic relationships in rats Pharm Res 23 2030 2035 10.1007/s11095-006-9046-x
12. P Macheras A Dokoumetzidis 2000 On the heterogeneity of drug dissolution and release Pharm Res 17 108 112 10.1023/A:1007596709657
13. D Farin D Avnir 1992 Use of fractal geometry to determine effects of surface morphology on drug dissolution J Pharm Sci 81 54 57 10.1002/jps. 2600810111
14. IM Sokolov J Klafter A Blumen 2002 Fractional kinetics Phys Today 55 11 48 55 10.1063/1.1535007
15. Podlubny I (1999) Fractional differential equations. Academic Press, San Diego
16. RL Magin 2004 Fractional calculus in bioengineering Crit Rev Biomed Eng 32 1 104 10.1615/CritRevBiomedEng.v32.10
17. RL Magin 2004 Fractional calculus in bioengineering, Part 2 Crit Rev Biomed Eng 32 105 193 10.1615/CritRevBiomedEng.v32.i2.10
18. RL Magin 2004 Fractional calculus in bioengineering, Part 3 Crit Rev Biomed Eng 32 195 377 10.1615/CritRevBiomedEng.v32.i34.10
19. A Dokoumetzidis P Macheras 2006 A century of dissolution research: from Noyes and Whitney to the biopharmaceutics classification system Int J Pharm 321 1 11 10.1016/j.ijpharm.2006.07.011
20. P Macheras P Argyrakis 1997 Gastrointestinal drug absorption: is it time to consider heterogeneity as well as homogeneity? Pharm Res 14 842 847 10.1023/A:1012183313218
21. SK Chandrasekaran DR Paul 1982 Dissolution-controlled transport from dispersed matrixes J Pharm Sci 71 1399 1402 10.1002/jps.2600711222
22. L Ritger NA Peppas 1987 A simple equation for description of solute release. I. Fickian and non-Fickian release from non-swellable devices in the form of slabs, spheres, cylinders or discs J Control Release 5 23 37 10.1016/0168-3659(87)90034-4
23. L Ritger NA Peppas 1987 A simple equation for description of solute release. II. Fickian and anomalous release from swellable devices J Control Release 5 37 42 10.1016/0168-3659(87)90035-6
24. F Langenbucher 1972 Linearization of dissolution rate curves by the Weibull distribution J Pharm Pharmacol 24 979 981
25. M Niclasson C Graffner MI Nillson 1987 Assessment of in vivo drug dissolution by means of numerical deconvolution considering gastrointestinal availability Intern J Pharmacol 40 165 171
26. Podlubny I, Kacenak M (2005) Matlab implementation of the Mittag-Leffler function. MATLAB Central, Available online: http://www.mathworks.com/ matlabcentral/fileexchange/loadFile.do?objectId=8738
27. GM Blake I Fogelman 2006 Theoretical model for the interpretation of BMD scans in patients stopping strontium ranelate treatment J Bone Miner Res 21 1417 1424 10.1359/jbmr.060616