Data-driven modelling of drug tissue trapping using anomalous kinetics
This work revisits the pharmacokinetic models derived from classical differential equations and proposes an extension to fractional differential equations to account for tissue trapping, which modifies the predicted drug concentration profiles. Unlike monotonic decay profiles, an oscillatory behavio...
Saved in:
| Published in | Chaos, solitons and fractals Vol. 102; pp. 441 - 446 |
|---|---|
| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier Ltd
01.09.2017
|
| Subjects | |
| Online Access | Get full text |
| ISSN | 0960-0779 1873-2887 |
| DOI | 10.1016/j.chaos.2017.03.031 |
Cover
| Abstract | This work revisits the pharmacokinetic models derived from classical differential equations and proposes an extension to fractional differential equations to account for tissue trapping, which modifies the predicted drug concentration profiles. Unlike monotonic decay profiles, an oscillatory behaviour is often observed. The phenomenon may be the result of the recirculation of trapped drug molecules due to the heterogeneity of the tissue combined with the local action of the liver or other organs in depositing part of the drug for later release. The proposed model alleviates this limitation in data fitting profiles, without violating mass balance principles and physiological states. The paper also points to new concepts and techniques in modelling drug pharmacokinetic dynamics to account for short- and long-time recirculation effects. As such, it provides a better characterisation of unexplained secondary effects in patients undergoing treatment. It also establishes a link to unbounded drug accumulation models. |
|---|---|
| AbstractList | This work revisits the pharmacokinetic models derived from classical differential equations and proposes an extension to fractional differential equations to account for tissue trapping, which modifies the predicted drug concentration profiles. Unlike monotonic decay profiles, an oscillatory behaviour is often observed. The phenomenon may be the result of the recirculation of trapped drug molecules due to the heterogeneity of the tissue combined with the local action of the liver or other organs in depositing part of the drug for later release. The proposed model alleviates this limitation in data fitting profiles, without violating mass balance principles and physiological states. The paper also points to new concepts and techniques in modelling drug pharmacokinetic dynamics to account for short- and long-time recirculation effects. As such, it provides a better characterisation of unexplained secondary effects in patients undergoing treatment. It also establishes a link to unbounded drug accumulation models. |
| Author | Magin, Richard L. Copot, Dana De Keyser, Robin Ionescu, Clara |
| Author_xml | – sequence: 1 givenname: Dana surname: Copot fullname: Copot, Dana email: dana.copot@ugent.be, robain.dekeyser@ugent.be, claramihaela.ionescu@ugent.be organization: Ghent University, Department of Electrical Energy, Metals, Mechanical Constructions and Systems, Research group on Dynamical Systems and Control, Technologiepark 914, 9052 Ghent, Belgium – sequence: 2 givenname: Richard L. surname: Magin fullname: Magin, Richard L. email: rmagin@uic.edu organization: University of Illinois at Chicago, Department of Bioengineering, (MC 063) 851 S Morgan St, 218 SEO Chicago, IL 60607, USA – sequence: 3 givenname: Robin surname: De Keyser fullname: De Keyser, Robin organization: Ghent University, Department of Electrical Energy, Metals, Mechanical Constructions and Systems, Research group on Dynamical Systems and Control, Technologiepark 914, 9052 Ghent, Belgium – sequence: 4 givenname: Clara surname: Ionescu fullname: Ionescu, Clara organization: Ghent University, Department of Electrical Energy, Metals, Mechanical Constructions and Systems, Research group on Dynamical Systems and Control, Technologiepark 914, 9052 Ghent, Belgium |
| BookMark | eNqFkM9KAzEQh4NUsK0-gZd9gV0nyf49eJBqVSh40XNIk9madZuUJFvw7d21njwo_JiBgW-Y-RZkZp1FQq4pZBRoedNl6l26kDGgVQZ8DD0jc1pXPGV1Xc3IHJoSUqiq5oIsQugAgELJ5mR9L6NMtTdHtMneaex7Y3eJaxPth10STQgDJtHLw2GaD2Gq0rq97N0Qkg9jMRoVLsl5K_uAVz99Sd7WD6-rp3Tz8vi8utukigOPact4CbmUErdUKoQaCqhbqYuyKjSFvNC6aRjf5gyQsyZXqsk1cJSa6aJqW74kzWmv8i4Ej61QJsponB1PNL2gICYhohPfQsQkRAAfQ0eW_2IP3uyl__yHuj1ROL51NOhFUAatQm08qii0M3_yX1u8fqI |
| CitedBy_id | crossref_primary_10_1016_j_mbs_2018_11_001 crossref_primary_10_3390_jcm9030684 crossref_primary_10_2298_JSC231207010M crossref_primary_10_1016_j_ifacol_2021_10_233 crossref_primary_10_1007_s10928_022_09834_8 crossref_primary_10_1007_s40435_018_0493_0 crossref_primary_10_1007_s11071_018_4095_3 crossref_primary_10_1109_TBME_2018_2854917 crossref_primary_10_3390_pharmaceutics15010304 crossref_primary_10_1109_ACCESS_2020_3037725 crossref_primary_10_1016_j_chaos_2022_112810 crossref_primary_10_3390_jcm9061832 crossref_primary_10_1109_ACCESS_2021_3049880 crossref_primary_10_1016_j_ifacol_2020_12_352 crossref_primary_10_1515_fca_2019_0072 crossref_primary_10_1016_j_chaos_2023_113164 crossref_primary_10_1186_s13662_018_1478_1 crossref_primary_10_1016_j_compchemeng_2019_106651 crossref_primary_10_1016_j_cmpb_2019_03_004 crossref_primary_10_1016_j_compbiomed_2020_103932 crossref_primary_10_1016_j_compbiomed_2023_107679 crossref_primary_10_1016_j_bspc_2023_104678 crossref_primary_10_1016_j_jare_2021_04_004 crossref_primary_10_1109_JAS_2023_123027 crossref_primary_10_3390_math7060515 crossref_primary_10_1016_j_ifacol_2018_11_148 |
| Cites_doi | 10.1103/PhysRevE.85.031132 10.1016/j.automatica.2008.06.016 10.1007/s10928-013-9340-2 10.3182/20110828-6-IT-1002.02107 10.1016/j.cnsns.2014.05.014 10.1007/BF01065658 10.1111/j.1365-246X.1967.tb02303.x 10.1016/j.cmpb.2010.06.019 10.1007/s10928-009-9116-x 10.1016/j.ifacol.2015.10.116 10.1016/j.cnsns.2014.08.014 10.1016/j.cnsns.2016.04.003 10.1016/j.cnsns.2010.05.027 10.1103/PhysRevE.91.042124 10.1016/j.isatra.2018.01.026 10.1007/s10928-016-9484-y 10.1007/s10928-010-9170-4 10.1103/PhysRevE.83.021110 10.1007/s10877-013-9535-5 10.1080/17486700903029280 10.1016/j.camwa.2009.08.039 10.1023/A:1020965005254 10.1016/j.sigpro.2010.08.003 10.1007/BF01061903 10.1023/A:1021064101698 |
| ContentType | Journal Article |
| Copyright | 2017 Elsevier Ltd |
| Copyright_xml | – notice: 2017 Elsevier Ltd |
| DBID | AAYXX CITATION |
| DOI | 10.1016/j.chaos.2017.03.031 |
| DatabaseName | CrossRef |
| DatabaseTitle | CrossRef |
| DatabaseTitleList | |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Sciences (General) Mathematics |
| EISSN | 1873-2887 |
| EndPage | 446 |
| ExternalDocumentID | 10_1016_j_chaos_2017_03_031 S0960077917300905 |
| GroupedDBID | --K --M -~X .~1 0R~ 1B1 1RT 1~. 1~5 29B 4.4 457 4G. 5GY 5VS 7-5 71M 8P~ 9JN AABNK AACTN AAEDT AAEDW AAIAV AAIKJ AAKOC AALRI AAOAW AAQFI AAQXK AAXUO ABMAC ABNEU ABTAH ABXDB ABYKQ ACDAQ ACFVG ACGFS ACNNM ACRLP ADBBV ADEZE ADMUD AEBSH AEKER AENEX AFFNX AFKWA AFTJW AGHFR AGUBO AGYEJ AHHHB AIEXJ AIKHN AITUG AIVDX AJBFU AJOXV ALMA_UNASSIGNED_HOLDINGS AMFUW AMRAJ ASPBG AVWKF AXJTR AZFZN BBWZM BKOJK BLXMC CS3 DU5 EBS EFJIC EFLBG EJD EO8 EO9 EP2 EP3 F5P FDB FEDTE FGOYB FIRID FNPLU FYGXN G-Q GBLVA HLZ HMV HVGLF HZ~ IHE J1W KOM LG9 M38 M41 MO0 N9A NDZJH O-L O9- OAUVE OGIMB OZT P-8 P-9 P2P PC. Q38 R2- RIG RNS ROL RPZ SBC SDF SDG SDP SES SEW SPC SPCBC SPD SPG SSQ SSZ T5K WUQ XPP ZY4 ~G- AATTM AAXKI AAYWO AAYXX ABJNI ABWVN ACRPL ACVFH ADCNI ADNMO AEIPS AEUPX AFJKZ AFPUW AGCQF AGQPQ AGRNS AIGII AIIUN AKBMS AKRWK AKYEP ANKPU APXCP BNPGV CITATION SSH |
| ID | FETCH-LOGICAL-c303t-f23604aaaeb1ace080508fad5675d1045dd9923b420e3294cc94d03ead2d57ff3 |
| IEDL.DBID | AIKHN |
| ISSN | 0960-0779 |
| IngestDate | Thu Apr 24 22:54:58 EDT 2025 Tue Jul 01 00:41:25 EDT 2025 Fri Feb 23 02:18:23 EST 2024 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Keywords | Heterogeneous Lag time Drug pharmacokinetics Modelling Fractional order derivative Recirculation Compartmental modelling Diffusion |
| Language | English |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c303t-f23604aaaeb1ace080508fad5675d1045dd9923b420e3294cc94d03ead2d57ff3 |
| PageCount | 6 |
| ParticipantIDs | crossref_citationtrail_10_1016_j_chaos_2017_03_031 crossref_primary_10_1016_j_chaos_2017_03_031 elsevier_sciencedirect_doi_10_1016_j_chaos_2017_03_031 |
| ProviderPackageCode | CITATION AAYXX |
| PublicationCentury | 2000 |
| PublicationDate | 2017-09-01 |
| PublicationDateYYYYMMDD | 2017-09-01 |
| PublicationDate_xml | – month: 09 year: 2017 text: 2017-09-01 day: 01 |
| PublicationDecade | 2010 |
| PublicationTitle | Chaos, solitons and fractals |
| PublicationYear | 2017 |
| Publisher | Elsevier Ltd |
| Publisher_xml | – name: Elsevier Ltd |
| References | Magin, Ortigueira, Podlubny, Trujillo (bib0013) 2011; 91 Copot, Ionescu (bib0005) 2014 Ionescu, Machado, De Keyser, Decruyenaere, Struys (bib0016) 2015; 20 Ionescu, Nascu, De Keyser (bib0017) 2014; 28 Dokoumetzidis, Magin, Macheras (bib0027) 2010; 37 Kiss, Sapi, Kovacs (bib0004) 2013 Pereira (bib0021) 2010; 11 Godfrey (bib0001) 1983 Dokoumetzidis, Macheras (bib0020) 2009; 36 Fedotov, Tan, Zubarev (bib0032) 2015; 91 Kovacs, Benyo, Bokor, Benyo (bib0002) 2011; 102 Machado, Kiryakova, Mainardi (bib0011) 2017 Drexler, Kovacs, Sapi, Harmati, Benyo (bib0003) 2011; 44 Machado, Kiryakova, Mainardi (bib0010) 2011; 16 Copot, Chevalier, Ionescu, De Keyser (bib0018) 2013 Matis, Wehrly (bib0025) 1998; 26 Churilov, Medvedev, Shepeljavyi (bib0007) 2009; 45 Copot, De Keyser, Ionescu (bib0019) 2015; 48 Fedotov (bib0030) 2011; 83 Popovic, Spasic, Tovic, Kolarovic, Malti, Mitic (bib0006) 2015; 22 Padula, Ionescu, Latronico, Paltenghi, Visioli, Vivacqua (bib0015) 2016; 39 De Keyser R, Muresan C, Ionescu C. An efficient algorithm for low-order direct discrete-time implementation of fractional order transfer functions. submitted to ISA Transactions. Magin (bib0009) 2006 Ionescu, Copot, De Keyser (bib0014) 2016 Wise (bib0022) 1985; 13 Ionescu, Copot, De Keyser (bib0029) 2016 Hennion, Hanert (bib0028) 2013; 40 Weiss (bib0026) 1999; 27 Monje, Chen, Vinagre, Xue, Feliu-Batlle (bib0034) 2010 Weiss (bib0023) 1989 Caputo (bib0033) 1967; 13 Magin (bib0012) 2010; 59 Fedotov, Falconer (bib0031) 2012; 85 Losa, Merlini, Nonnenmacher, Weibel (bib0008) 2002 Weiss (bib0024) 2016; 43 Wise (10.1016/j.chaos.2017.03.031_bib0022) 1985; 13 Dokoumetzidis (10.1016/j.chaos.2017.03.031_bib0027) 2010; 37 Fedotov (10.1016/j.chaos.2017.03.031_bib0031) 2012; 85 Matis (10.1016/j.chaos.2017.03.031_bib0025) 1998; 26 Ionescu (10.1016/j.chaos.2017.03.031_bib0014) 2016 Kovacs (10.1016/j.chaos.2017.03.031_bib0002) 2011; 102 Ionescu (10.1016/j.chaos.2017.03.031_bib0029) 2016 Drexler (10.1016/j.chaos.2017.03.031_bib0003) 2011; 44 Machado (10.1016/j.chaos.2017.03.031_bib0010) 2011; 16 Ionescu (10.1016/j.chaos.2017.03.031_bib0017) 2014; 28 Popovic (10.1016/j.chaos.2017.03.031_bib0006) 2015; 22 Hennion (10.1016/j.chaos.2017.03.031_bib0028) 2013; 40 Fedotov (10.1016/j.chaos.2017.03.031_bib0032) 2015; 91 Pereira (10.1016/j.chaos.2017.03.031_bib0021) 2010; 11 Losa (10.1016/j.chaos.2017.03.031_bib0008) 2002 10.1016/j.chaos.2017.03.031_bib0035 Copot (10.1016/j.chaos.2017.03.031_bib0019) 2015; 48 Churilov (10.1016/j.chaos.2017.03.031_bib0007) 2009; 45 Monje (10.1016/j.chaos.2017.03.031_bib0034) 2010 Copot (10.1016/j.chaos.2017.03.031_bib0005) 2014 Magin (10.1016/j.chaos.2017.03.031_bib0013) 2011; 91 Magin (10.1016/j.chaos.2017.03.031_bib0012) 2010; 59 Copot (10.1016/j.chaos.2017.03.031_bib0018) 2013 Padula (10.1016/j.chaos.2017.03.031_bib0015) 2016; 39 Fedotov (10.1016/j.chaos.2017.03.031_bib0030) 2011; 83 Machado (10.1016/j.chaos.2017.03.031_sbref0011) 2017 Kiss (10.1016/j.chaos.2017.03.031_bib0004) 2013 Caputo (10.1016/j.chaos.2017.03.031_bib0033) 1967; 13 Weiss (10.1016/j.chaos.2017.03.031_bib0024) 2016; 43 Godfrey (10.1016/j.chaos.2017.03.031_bib0001) 1983 Ionescu (10.1016/j.chaos.2017.03.031_bib0016) 2015; 20 Dokoumetzidis (10.1016/j.chaos.2017.03.031_bib0020) 2009; 36 Weiss (10.1016/j.chaos.2017.03.031_bib0026) 1999; 27 Weiss (10.1016/j.chaos.2017.03.031_bib0023) 1989 Magin (10.1016/j.chaos.2017.03.031_bib0009) 2006 |
| References_xml | – year: 2017 ident: bib0011 article-title: Que vadis? publication-title: Fract Calculus Anal Appl – volume: 26 start-page: 437 year: 1998 end-page: 456 ident: bib0025 article-title: A general approach to non-markovian compartmental models publication-title: J Pharmacokinet Biopharm – start-page: 1283 year: 2016 end-page: 1288 ident: bib0029 article-title: Modelling doxorubicin effect in various cancer therapies by means of fractional calculus publication-title: Proceedings of the American control conference (ACC) – volume: 48 start-page: 64 year: 2015 end-page: 69 ident: bib0019 article-title: Drug interaction between propofol and remifentanil in individualised drug delivery systems publication-title: Proc IFAC-PapersOnLine – volume: 11 start-page: 161 year: 2010 end-page: 184 ident: bib0021 article-title: Fractal pharmacokinetics publication-title: Comput Math Methods Med – year: 2002 ident: bib0008 article-title: Fractals in biology and medicine – volume: 37 start-page: 507 year: 2010 end-page: 524 ident: bib0027 article-title: Fractional kinetics in multi-compartmental systems publication-title: J Pharmacokinet Pharmacodyn – year: 2010 ident: bib0034 article-title: Fractional-order systems and controls: fundamentals and applications – volume: 22 start-page: 451 year: 2015 end-page: 471 ident: bib0006 article-title: Fractional model for pharmacokinetics of high dose methotrexate in children with acute lymphoblastic leukaemia publication-title: Commun Nonlinear Sci Numer Simulat – year: 1983 ident: bib0001 article-title: Compartmental models and their applications – start-page: 393 year: 1989 end-page: 397 ident: bib0023 article-title: Commentary to “pharmacokinetics from a dynamical system point of view” publication-title: J Pharmacokinet Pharmacodyn – start-page: 2653 year: 2016 end-page: 2658 ident: bib0014 article-title: Modelling for control of depth of hypnosis: a patient friendly approach publication-title: Proceedings of the IEEE international conference on systems, man, and cybernetics – reference: De Keyser R, Muresan C, Ionescu C. An efficient algorithm for low-order direct discrete-time implementation of fractional order transfer functions. submitted to ISA Transactions. – volume: 102 start-page: 105 year: 2011 end-page: 118 ident: bib0002 article-title: Induced l 2-norm minimization of glucoseinsulin system for type i diabetic patients publication-title: Comput Methods Programs Biomed – volume: 44 start-page: 3753 year: 2011 end-page: 3759 ident: bib0003 article-title: Model-based analysis and synthesis of tumor growth under angiogenic inhibition: a case study publication-title: IFAC Proc – volume: 43 start-page: 505 year: 2016 end-page: 512 ident: bib0024 article-title: Comparison of distributed and compartmental models of drug disposition: assessment of tissue uptake kinetics publication-title: J Pharmacokinet Pharmacodyn – volume: 91 start-page: 1 year: 2015 end-page: 6 ident: bib0032 article-title: Persistent random walk of cells involving anomalous effects and random death publication-title: Phys Rev E – start-page: 271 year: 2013 end-page: 275 ident: bib0004 article-title: Imaging method for model-based control of tumor diseases publication-title: Proceedings of the IEEE 11th international symposium on intelligent systems and informatics (SISY) – volume: 28 start-page: 537 year: 2014 end-page: 546 ident: bib0017 article-title: Lessons learned from closed loops in engineering: towards a multivariable approach regulating depth of anaesthesia publication-title: J Clin Monit Comput – volume: 20 start-page: 914 year: 2015 end-page: 926 ident: bib0016 article-title: Nonlinear dynamics of the patients response to drug effect during general anesthesia publication-title: Commun Nonlinear Sci Numer Simul – volume: 16 start-page: 1140 year: 2011 end-page: 1153 ident: bib0010 article-title: Recent history of fractional calculus publication-title: Commun Nonlinear Sci Numer Simul – volume: 36 start-page: 165 year: 2009 end-page: 178 ident: bib0020 article-title: Fractional kinetics in drug absorption and disposition processes publication-title: J Pharmacokinet Biopharm – start-page: 2452 year: 2014 end-page: 2457 ident: bib0005 article-title: Drug delivery system for general anesthesia: where are we? publication-title: Proceedings of the IEEE international conference on systems, man, and cybernetics (SMC) – year: 2006 ident: bib0009 article-title: Fractional calculus in bioengineering – volume: 59 start-page: 1586 year: 2010 end-page: 1593 ident: bib0012 article-title: Fractional calculus models of complex dynamics in biological tissues publication-title: Comput Math Appl – volume: 91 start-page: 350 year: 2011 end-page: 371 ident: bib0013 article-title: On the fractional signals and systems publication-title: Signal Process – volume: 13 start-page: 529 year: 1967 end-page: 539 ident: bib0033 article-title: Linear models of dissipation whose q is almost frequency independent, part ii publication-title: Geophys J R Astron Soc – volume: 40 start-page: 691 year: 2013 end-page: 700 ident: bib0028 article-title: How to avoid unbounded drug accumulation with fractional pharmacokinetics publication-title: J Pharmacokinet Pharmacodyn – volume: 83 start-page: 1 year: 2011 end-page: 6 ident: bib0030 article-title: Subdiffusion, chemotaxis, and anomalous aggregation publication-title: Phys Rev E – volume: 85 start-page: 1 year: 2012 end-page: 6 ident: bib0031 article-title: Subdiffusive master equation with space-dependent anomalous exponent and structural instability publication-title: Phys Rev E – volume: 13 start-page: 309 year: 1985 end-page: 346 ident: bib0022 article-title: Negative power functions of time in pharmacokinetics and their implications publication-title: J Pharmacokinet Biopharm – volume: 45 start-page: 78 year: 2009 end-page: 85 ident: bib0007 article-title: Mathematical model of non-basal testosterone regulation in the male by pulse modulated feedback publication-title: Automatica – start-page: 264 year: 2013 end-page: 269 ident: bib0018 article-title: A two-compartment fractional derivative model for propofol diffusion in anesthesia publication-title: Proceedings of the 2013 IEEE international conference on control applications (CCA) – volume: 27 start-page: 383 year: 1999 end-page: 396 ident: bib0026 article-title: The anomalous pharmacokinetics of amiodarone explained by nonexponential tissue trapping publication-title: J Pharmacokinet Biopharm – volume: 39 start-page: 481 year: 2016 end-page: 494 ident: bib0015 article-title: Inversion-based propofol dosing for intravenous induction of hypnosis publication-title: Commun Nonlinear Sci Numer Simul – volume: 85 start-page: 1 year: 2012 ident: 10.1016/j.chaos.2017.03.031_bib0031 article-title: Subdiffusive master equation with space-dependent anomalous exponent and structural instability publication-title: Phys Rev E doi: 10.1103/PhysRevE.85.031132 – start-page: 264 year: 2013 ident: 10.1016/j.chaos.2017.03.031_bib0018 article-title: A two-compartment fractional derivative model for propofol diffusion in anesthesia – year: 1983 ident: 10.1016/j.chaos.2017.03.031_bib0001 – volume: 45 start-page: 78 year: 2009 ident: 10.1016/j.chaos.2017.03.031_bib0007 article-title: Mathematical model of non-basal testosterone regulation in the male by pulse modulated feedback publication-title: Automatica doi: 10.1016/j.automatica.2008.06.016 – volume: 40 start-page: 691 year: 2013 ident: 10.1016/j.chaos.2017.03.031_bib0028 article-title: How to avoid unbounded drug accumulation with fractional pharmacokinetics publication-title: J Pharmacokinet Pharmacodyn doi: 10.1007/s10928-013-9340-2 – year: 2017 ident: 10.1016/j.chaos.2017.03.031_sbref0011 article-title: Que vadis? publication-title: Fract Calculus Anal Appl – start-page: 2653 year: 2016 ident: 10.1016/j.chaos.2017.03.031_bib0014 article-title: Modelling for control of depth of hypnosis: a patient friendly approach – start-page: 271 year: 2013 ident: 10.1016/j.chaos.2017.03.031_bib0004 article-title: Imaging method for model-based control of tumor diseases – volume: 44 start-page: 3753 issue: 1 year: 2011 ident: 10.1016/j.chaos.2017.03.031_bib0003 article-title: Model-based analysis and synthesis of tumor growth under angiogenic inhibition: a case study publication-title: IFAC Proc doi: 10.3182/20110828-6-IT-1002.02107 – volume: 20 start-page: 914 issue: 3 year: 2015 ident: 10.1016/j.chaos.2017.03.031_bib0016 article-title: Nonlinear dynamics of the patients response to drug effect during general anesthesia publication-title: Commun Nonlinear Sci Numer Simul doi: 10.1016/j.cnsns.2014.05.014 – volume: 13 start-page: 309 issue: 3 year: 1985 ident: 10.1016/j.chaos.2017.03.031_bib0022 article-title: Negative power functions of time in pharmacokinetics and their implications publication-title: J Pharmacokinet Biopharm doi: 10.1007/BF01065658 – volume: 13 start-page: 529 year: 1967 ident: 10.1016/j.chaos.2017.03.031_bib0033 article-title: Linear models of dissipation whose q is almost frequency independent, part ii publication-title: Geophys J R Astron Soc doi: 10.1111/j.1365-246X.1967.tb02303.x – volume: 102 start-page: 105 issue: 2 year: 2011 ident: 10.1016/j.chaos.2017.03.031_bib0002 article-title: Induced l 2-norm minimization of glucoseinsulin system for type i diabetic patients publication-title: Comput Methods Programs Biomed doi: 10.1016/j.cmpb.2010.06.019 – volume: 36 start-page: 165 year: 2009 ident: 10.1016/j.chaos.2017.03.031_bib0020 article-title: Fractional kinetics in drug absorption and disposition processes publication-title: J Pharmacokinet Biopharm doi: 10.1007/s10928-009-9116-x – start-page: 1283 year: 2016 ident: 10.1016/j.chaos.2017.03.031_bib0029 article-title: Modelling doxorubicin effect in various cancer therapies by means of fractional calculus – volume: 48 start-page: 64 issue: 20 year: 2015 ident: 10.1016/j.chaos.2017.03.031_bib0019 article-title: Drug interaction between propofol and remifentanil in individualised drug delivery systems publication-title: Proc IFAC-PapersOnLine doi: 10.1016/j.ifacol.2015.10.116 – volume: 22 start-page: 451 year: 2015 ident: 10.1016/j.chaos.2017.03.031_bib0006 article-title: Fractional model for pharmacokinetics of high dose methotrexate in children with acute lymphoblastic leukaemia publication-title: Commun Nonlinear Sci Numer Simulat doi: 10.1016/j.cnsns.2014.08.014 – volume: 39 start-page: 481 year: 2016 ident: 10.1016/j.chaos.2017.03.031_bib0015 article-title: Inversion-based propofol dosing for intravenous induction of hypnosis publication-title: Commun Nonlinear Sci Numer Simul doi: 10.1016/j.cnsns.2016.04.003 – start-page: 2452 year: 2014 ident: 10.1016/j.chaos.2017.03.031_bib0005 article-title: Drug delivery system for general anesthesia: where are we? – volume: 16 start-page: 1140 issue: 3 year: 2011 ident: 10.1016/j.chaos.2017.03.031_bib0010 article-title: Recent history of fractional calculus publication-title: Commun Nonlinear Sci Numer Simul doi: 10.1016/j.cnsns.2010.05.027 – volume: 91 start-page: 1 year: 2015 ident: 10.1016/j.chaos.2017.03.031_bib0032 article-title: Persistent random walk of cells involving anomalous effects and random death publication-title: Phys Rev E doi: 10.1103/PhysRevE.91.042124 – ident: 10.1016/j.chaos.2017.03.031_bib0035 doi: 10.1016/j.isatra.2018.01.026 – year: 2002 ident: 10.1016/j.chaos.2017.03.031_bib0008 – volume: 43 start-page: 505 year: 2016 ident: 10.1016/j.chaos.2017.03.031_bib0024 article-title: Comparison of distributed and compartmental models of drug disposition: assessment of tissue uptake kinetics publication-title: J Pharmacokinet Pharmacodyn doi: 10.1007/s10928-016-9484-y – volume: 37 start-page: 507 year: 2010 ident: 10.1016/j.chaos.2017.03.031_bib0027 article-title: Fractional kinetics in multi-compartmental systems publication-title: J Pharmacokinet Pharmacodyn doi: 10.1007/s10928-010-9170-4 – volume: 83 start-page: 1 year: 2011 ident: 10.1016/j.chaos.2017.03.031_bib0030 article-title: Subdiffusion, chemotaxis, and anomalous aggregation publication-title: Phys Rev E doi: 10.1103/PhysRevE.83.021110 – volume: 28 start-page: 537 issue: 6 year: 2014 ident: 10.1016/j.chaos.2017.03.031_bib0017 article-title: Lessons learned from closed loops in engineering: towards a multivariable approach regulating depth of anaesthesia publication-title: J Clin Monit Comput doi: 10.1007/s10877-013-9535-5 – volume: 11 start-page: 161 issue: 2 year: 2010 ident: 10.1016/j.chaos.2017.03.031_bib0021 article-title: Fractal pharmacokinetics publication-title: Comput Math Methods Med doi: 10.1080/17486700903029280 – year: 2010 ident: 10.1016/j.chaos.2017.03.031_bib0034 – volume: 59 start-page: 1586 issue: 5 year: 2010 ident: 10.1016/j.chaos.2017.03.031_bib0012 article-title: Fractional calculus models of complex dynamics in biological tissues publication-title: Comput Math Appl doi: 10.1016/j.camwa.2009.08.039 – volume: 27 start-page: 383 issue: 4 year: 1999 ident: 10.1016/j.chaos.2017.03.031_bib0026 article-title: The anomalous pharmacokinetics of amiodarone explained by nonexponential tissue trapping publication-title: J Pharmacokinet Biopharm doi: 10.1023/A:1020965005254 – volume: 91 start-page: 350 issue: 3 year: 2011 ident: 10.1016/j.chaos.2017.03.031_bib0013 article-title: On the fractional signals and systems publication-title: Signal Process doi: 10.1016/j.sigpro.2010.08.003 – year: 2006 ident: 10.1016/j.chaos.2017.03.031_bib0009 – start-page: 393 year: 1989 ident: 10.1016/j.chaos.2017.03.031_bib0023 article-title: Commentary to “pharmacokinetics from a dynamical system point of view” publication-title: J Pharmacokinet Pharmacodyn doi: 10.1007/BF01061903 – volume: 26 start-page: 437 issue: 4 year: 1998 ident: 10.1016/j.chaos.2017.03.031_bib0025 article-title: A general approach to non-markovian compartmental models publication-title: J Pharmacokinet Biopharm doi: 10.1023/A:1021064101698 |
| SSID | ssj0001062 |
| Score | 2.4245396 |
| Snippet | This work revisits the pharmacokinetic models derived from classical differential equations and proposes an extension to fractional differential equations to... |
| SourceID | crossref elsevier |
| SourceType | Enrichment Source Index Database Publisher |
| StartPage | 441 |
| SubjectTerms | Compartmental modelling Diffusion Drug pharmacokinetics Fractional order derivative Heterogeneous Lag time Modelling Recirculation |
| Title | Data-driven modelling of drug tissue trapping using anomalous kinetics |
| URI | https://dx.doi.org/10.1016/j.chaos.2017.03.031 |
| Volume | 102 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV1NT8JAEJ0gXPRgFDXiB9mDB02stLvdlh4JSlADFyXh1my7W0SxJVCu_nZny5ZoYjiY9NJmp2mm0zdv0pm3AFfCFSyIfWpFSRsLFBlIqy25Y3GfKsESzxFczw4Phl5_5D6N-bgC3XIWRrdVGuxfY3qB1uZKy3izNZ9OWy-afNu-j_UGQ6KgdUxrlAUer0Kt8_jcH24AGaue4mcCrre0QSk-VLR5xW8i07Ldjl-InTLn7wT1I-n0DmDfsEXSWT_QIVRUWoe9wUZqdVmHQ_N1Lsm1kZC-OYLevciFJRcaykix2Y2eOidZQuRiNSF54W2SL4RWZ5gQ3fw-ISLNPsUsWy3JB1JPffdjGPUeXrt9y-yYYMWYinIrocyzXSEEIrCIFbJB5F-JkBzLAomFF5cyQEYXudRWjAZuHAeutBlGE5XcTxJ2AtU0S9UpEFto5kcZT5TjRkozNXybmPNUoJwoihtASzeFsZET17tazMKyb-w9LHwbat-GNsPDacDtxmi-VtPYvtwr_R_-CooQ8X6b4dl_Dc9hV5-tm8guoJovVuoSWUceNWHn7stpmtj6BpWU1mo |
| linkProvider | Elsevier |
| linkToHtml | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV1NT4NAEN00elAPxlaN9XMPHjQRCywL5WiqTdW2F9ukt83CLrVaoaH06m93hkLVxPRgwgl2CBmWmTfhzRtCLqUjmR96thFETShQlK-MpuKWwT1bSxa5luTYO9zru52h8zTiowpplb0wSKssYv8ypufRujjTKLzZmE0mjRcE36bnQb3BACigjummw5mHvL7bz2-eB9Q8-a8EWG3g8lJ6KCd5ha8yQdFuy8ulTpn1d3r6kXLae2S3wIr0bvk4VVLRcY3s9FZCq_MaqRbf5pxeFQLS1_ukfS8zaagUAxnNR91gzzlNIqrSxZhmua9plkrUZhhTpL6PqYyTDzlNFnP6DsAT735Ahu2HQatjFPMSjBASUWZENnNNR0oJ8VeGGrAgoK9IKg5FgYKyiyvlA54LHNvUzPadMPQdZTLYS7biXhSxQ7IRJ7E-ItSUiPtsxiNtOYFGnAbvEjKe9rUVBGGd2KWbRFiIieNMi6koWWNvIvetQN8Kk8Fh1cnNymi21NJYv9wt_S9-bQkB0X6d4fF_DS_IVmfQ64ruY__5hGzjlSWd7JRsZOlCnwH-yILzfH99AWC_1zU |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Data-driven+modelling+of+drug+tissue+trapping+using+anomalous+kinetics&rft.jtitle=Chaos%2C+solitons+and+fractals&rft.au=Copot%2C+Dana&rft.au=Magin%2C+Richard+L.&rft.au=De+Keyser%2C+Robin&rft.au=Ionescu%2C+Clara&rft.date=2017-09-01&rft.pub=Elsevier+Ltd&rft.issn=0960-0779&rft.eissn=1873-2887&rft.volume=102&rft.spage=441&rft.epage=446&rft_id=info:doi/10.1016%2Fj.chaos.2017.03.031&rft.externalDocID=S0960077917300905 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0960-0779&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0960-0779&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0960-0779&client=summon |