
1032SDigoxinElimination
17 Aug 2018   Contributor(s):: Therese Shelton
We model the concentration of digoxin eliminated from the human body at a rate proportional to the concentration. This is a ``firstorder reaction'' in the language of pharmacokinetics  the study of how drugs move in the body. This activity can be used to introduce compartmentalized...

1131SCaffeineElimination
15 Aug 2018   Contributor(s):: Therese Shelton
We model the concentration of caffeine eliminated from the human body at a rate proportional to the concentration. This is a reaction in the language of pharmacokinetics  the study of how drugs move in the body. This simple activity can be used to introduce differential equations, and it can...

1130SAspirinAbsorption
15 Aug 2018   Contributor(s):: Therese Shelton
We model the amount of aspirin absorbed by the human body at a constant rate. This is a ``zeroorder reaction'' in the language of pharmacokinetics  the study of how drugs move in the body. This simple activity can be used to introduce differential equations and it can be used to...

1971BoyesEtalLidocaine In Man
09 Oct 2017   Contributor(s):: Brian Winkel
Boyes, R. N., D. B. Scott, P. J. Jebson, M. J. Godman, and D. G. Julian, M.D. 1971. Lidocaine in Man. Clinical Pharmacology and Therapeutics. 12(1): 105116.Abstract: Plasma levels of lidocaine were measured in 5 normal male volunteers following both intravenous and oral administration of...

WangEtAlEstimating MixedEffects Differential Equation Models
21 Sep 2017   Contributor(s):: Brian Winkel
Wang, L., J. Cao 1 , J. O. Ramsay, D. M. Burger , C. J. L. Laporte, and J. K. Rockstroh. Estimating MixedEffects Differential Equation Models. Paper. 30 pp. Abstract: Ordinary differential equations (ODEs) are popular tools for modeling complicated dynamic systems in many areas. When multiple...

Pharmacokinetics – Source Material
12 Sep 2017   Contributor(s):: Brian Winkel
Phamacokinetics –PHAR 7834. https://www.boomer.org/c/p4/?Loc=OUHSC33 . Accessed 11 September 2017.This is a rich source of pharmacokinetics modeling activities and data. These are syllabus notes with homework assignments listed.Online ResourcesBackground Mathematical...

2004RescignoUse of Pharmacokinetics Models
11 Sep 2017   Contributor(s):: Brian Winkel
Rescigno, Aldo. 2004. On the use of pharmacokinetic models. Phys. Med. Biol. 49: 46574676.Abstract: Extensive use of models in pharmacology, in physiology and in radiotherapy raises some questions on the nature and utility of models in general and of compartmental models in particular. In...

2012KochModeling of Pharmacokinetic and Pharmacodynamics of Cancer and Arthritis
10 Sep 2017   Contributor(s):: Brian Winkel
Koch, Gilbert. 2012. Modeling of Pharmacokinetic and Pharmacodynamics of Cancer and Arthritis. PhD Dissertation. 118 pp.Abstract: Mathematical modeling of pharmacokinetics / pharmacodynamics (PKPD) is an important and growing field in drug development. In this work we develop preclinical PKPD...

ASHP  Intro to Pharmacokinetics and Pharmacodynamics
10 Sep 2017   Contributor(s):: Brian Winkel
ASHP. Intro to Pharmacokinetics and Pharmacodynamics . 18 pp. https://www.ashp.org//media/store%20files/p2418samplechapter1.pdf . Accessed 10 September 2017. American Society of HealthSystem Pharmacists.This is the introductory Lesson 1 in an online set of materials to introduce...

AccessPharmacyPharmacokinetics Of Drug Absorption
09 Sep 2017   Contributor(s):: Brian Winkel
AccessPharmacy (McGraw Ill). Applied Biopharmaceutics & Pharmacokinetics. Chapter 7. Pharmacokinetics of Oral. Part of Book series at https://accesspharmacy.mhmedical.com/book.aspx?bookID=1592 . Accessed 7 September 2017.From the web page.“The pharmacokinetics of drugs...

2014ShaferPharmacokinetis Basis Targeted Controlled Infusion
09 Sep 2017   Contributor(s):: Brian Winkel
Shafer, Steven. The Pharmacokinetic and Pharmacodynamic Basis of Target Controlled Infusion. 60 pp. https://web.stanford.edu/~sshafer/LECTURES.DIR/Notes/CCIP.DOC . Accessed on 7 September 2017. From the introduction of the paper, “Pharmacokinetics and pharmacodynamics provide...

2017PeletierDifferential Equations First Order Applications
09 Sep 2017   Contributor(s):: Brian Winkel
Peletier, L. A. Ordinary Differential Equations in Pharmacodynamics. Notes. 23 pp. http://www.math.leidenuniv.nl/~peletier/azcourse04.pdf . Accessed 8 September 2017.Good mix of theory, application, solution technique in a number of areas of applications of differential...

2011KochPharmacokinetic Intro Biomathematical Modeling
09 Sep 2017   Contributor(s):: Brian Winkel
Koch, Gretchen A. 2011. Mathematical Modelling of Natural Phenomena Drugs in the Classroom: Using Pharmacokinetics to Introduce Biomathematical Modeling . Preprint of artile to appear in Mathematical Modelling of Natural Phenomena. 6(6): 227244....

1999KhorashehEtAlDirect Search Parameter Estimation
08 Sep 2017   Contributor(s):: Brian Winkel
Khorasheh, Farhad , Amir Mahbod Ahmadi, and Abbas Gerayeli, 1999. Application of Direct Search Optimization for Pharmacokinetic Parameter Estimation . J Pharm Pharmaceut Sci .2 (3):9298.Abstract:Purpose. For simple pharmacokinetic compartmental models, analytical solution to the governing...

1969MetzlerMathModelOfLSD
07 Sep 2017   Contributor(s):: Brian Winkel
Metzler, Carl M. 1969. A mathematical model for the pharmacokinetics of LSD effect. Clinical Pharmacology and Therapeutics. 10(5): 737740 Contains data on performance scores vs. plasma levels of LSD in the bloodstream for subjects in experiment. Keywords: pharmacokinetics, model,...

1971MetzlerUsefulness Of Two Compartment Open Model In Pharmacokinetics
07 Sep 2017   Contributor(s):: Brian Winkel
Metzler, Carl M. , 1971. Usefulness of the TwoCompartment Open Model in Pharmacokinetics. Journal of the American Statistical Association, 66( 333): 4953Abstract: Compartment models are widely used in pharmaceutical research to quantitate the kinetics of absorption, distribution, metabolism...

1975RoddaEtAlOneCompartmentOpenModel
03 Sep 2017   Contributor(s):: Brian Winkel
Rodda, B. E. , C. B. Sampson, and D. W. Smith. 1975. The OneCompartment Open Model: Some Statistical Aspects of Parameter Estimation. Journal of the Royal Statistical Society. Series C (Applied Statistics). 24(3): 309318. Abstract: A new estimation procedure is proposed for...

2009SuSunLiHartfordComparment Models Pharmacokinetics
03 Sep 2017   Contributor(s):: Brian Winkel
Su, Jing,Peng Sun, Xiaodong Li and Alan H. Hartford (all at Merck & Co., Inc, North Wales, PA). 2009. Fitting Compartmental Models to Multiple Dose Pharmacokinetic Data using SAS PROC NLMIXEDhttp://www.lexjansen.com/pharmasug/2009/sp/sp11.pdfAbstract: Pharmacokinetic (PK)...

2008FoglerGurmen Elements of Chemical Reaction Engineering
20 Jun 2015   Contributor(s):: H. Scott Fogler, M. Nihat Gurmen
Fogler, H. Scott and M. Nihat Gurmen. 2008. Elements of Chemical Reaction Engineering: Strategies for Creative Problem Solving. http://www.umich.edu/~elements/07chap/html/07prof5.htm. Accessed 12 March 2015.This is a website with lots of modeling information, exercises, and lessons. The...

1967WagnerComputers in pharmacokinetics
20 Jun 2015   Contributor(s):: J. G. Wagner
Wagner, J. G. 1967. Computers in pharmacokinetics. Clinical Pharmacology and Therapeutics. 8(1)Part 2: 201218. This is a seminal paper in pharmacokinetics in which the author introduces historic notions and approaches. As can be seen from the abstract there is a...