
2014BodineDiscreteDifferenceEquations
26 Mar 2020  Contributor(s):: Brian Winkel
2014BodineDiscreteDifferenceEquationsBodine, Erin N. Discrete Difference Equations. Rhodes College. Notes. 37 pp. From, An Introduction to Discrete Mathematical Modeling"The field of mathematics provides many dierent means for modeling the...

2000ErdmanStudyOfKineticsFirstOrderODE
25 Mar 2020  Contributor(s):: Brian Winkel
2000ErdmanStudyOfKineticsFirstOrderODEErdman, Donald and Maurice M. Morelock. 2000. A Study of Kinetics: The Estimation and Simulation of Systems of FirstOrder Differential Equations. Notes. 8 pp. Abstract: This paper introduces new and old features of the SAS System...

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 be...

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...

1999DeuflhardDifferentialEquationsInTechnologyAndMedicine
28 Nov 2017   Contributor(s):: Brian Winkel
Deuflhard, Peter. 1999. Differential Equations in Technology and Medicine. Computational Concepts, Adaptive Algorithms, and Virtual Labs.CIME Lectures. Preprint SC 9934. (September 1999). Notes: 66 pp.Abstract: This series of lectures has been given to a class of mathematics postdocs...

IDEA  Internet Differential Equations Activities
08 Nov 2017   Contributor(s):: Brian Winkel
Cooper, Kevin. IDEA  Internet Differential Equations Activities. Washington State University, Pullman WA USA.We quote from the home page of IDEA  Internet Differential Equations Activities, www.math.wsu.edu/idea/ .“IDEA is Internet Differential Equations Activities, an...

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...

2006LoydWodarz Drug Resistance in Acute Viral Infections
18 Sep 2017   Contributor(s):: Brian Winkel
Loyd, Alun L. and Dominik Wodarz. 2006. Drug Resistance in Acute Viral Infections: Rhinovirus as a Case Study. Preprint. 21 pp. http://www4.ncsu.edu/~allloyd/pdf_files/resistance_preprint.pdf . Accessed 18 September 2017.Abstract: The emergence and spread of drug resistant...

2011NguyenShiModeling the absorption, circulation, and metabolism of tirapazamine
11 Sep 2017   Contributor(s):: Brian Winkel
Nguyen, Olivia and Xiaoyu Shi. 2011. Modeling the absorption, circulation, and metabolism of tirapazamine. http://www.isn.ucsd.edu/courses/beng221/problems/2011/project02.pdf . Accessed 10 Sept 2017.This apparently is a student project and it develops the kinetic model, uses Matlab...

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...

Ten DE Application Problems
10 Sep 2017   Contributor(s):: Brian Winkel
Ten Application Problems of Differential EquationA list of 10 applications anonymous list with these instructions, “For each problem, set up a differential equation modeling the situation. Be sure to define your variables, state the units being used, and determine the initial condition. You...

2012JemhekarBreenExtravascular Routes Of Drug Administration
09 Sep 2017   Contributor(s):: Brian Winkel
Jambhekar, Sunil S and Philip J. Breen. 2012. Chapter 2: Extravascular Routes Of Drug Administration in Basic Pharamacokinetics, Second Edition. Pharmaceutical Press....

1115SModelingWithFirstOrderODEs
04 Sep 2017   Contributor(s):: Michael Grayling
Several models using first order differential equations are offered with some questions on formulating a differential equations model

7010SMultipleDoses
12 Oct 2016   Contributor(s):: Brian Winkel
Two possible multiple dose drug administration regimens are offered for modeling. A drug is to maintain a certain level (above a set minimum and below a set maximum) in the blood stream and one regimen involves bolus injections and the other involves steady drip flow over short periods of time....

5011ASModelingIbuprofren
19 Sep 2015   Contributor(s):: Brian Winkel

1016SDogDrugs
04 Jun 2015   Contributor(s):: Brian Winkel
We offer a problem of determining the necessary drug administration in order to keep a dogsedated with specific information on halflife for an exponentially decaying presence of the drug in the body.