
2011KochNoble, G. A.  Drugs in the Classroom: Using Pharmacokinetics to Introduce Biomathematical Modeling
29 Mar 2020  Contributor(s):: Brian Winkel
KochNoble, G. A. 2011. Drugs in the Classroom: Using Pharmacokinetics to Introduce Biomathematical Modeling. Math. Model. Nat. Phenom. 6(6): 227244.See https://www.mmnpjournal.org/articles/mmnp/pdf/2011/06/mmnp201166p227.pdf . Abstract: Pharmacokinetics is an excellent way to...

2014Bodine, Erin N.  Discrete Difference Equations.
26 Mar 2020  Contributor(s):: Brian Winkel
Bodine, 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 world around us. Some mathematical toolsare...

2000Erdman, Donald and Maurice M. Morelock  A Study of Kinetics: The Estimation and Simulation of Systems of FirstOrder Differential Equations. Notes.
25 Mar 2020  Contributor(s):: Brian Winkel
Erdman, Donald and Maurice M. Morelock. 2000. A Study of Kinetics: The Estimation and Simulation of Systems of FirstOrder Differential Equations. Notes. 8...

2004Ledzewicz, Urszula and Heinz Schattler  Application of Control Theory in Modelling Cancer Chemotherapy.
20 Mar 2020  Contributor(s):: Brian Winkel
Ledzewicz, Urszula and Heinz Schattler. 2004. Application of Control Theory in Modelling Cancer Chemotherapy. Paper at ICCAS2004 August 2527, The ShangriLa Hotel, Bangkok, THAILAND. See https://www.siue.edu/~uledzew/papers/pprBangkok.pdf .Abstract: Phase...

1138SInnerEarDrugDelivery
20 Aug 2018   Contributor(s):: Jue Wang
Hearing loss is difficult to treat due to the inner ear location and structure. Drawing from this challenging case, this scenario guides students to transform a treatment protocol into a mathematical model. Students engage in preclinical studies to examine local drug delivery to the cochlea. The...

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 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...

2008Huangi, Y. and T. Lu  Modeling longterm longitudinal HIV dynamics with applications to an AIDS clinical study.
01 Dec 2017   Contributor(s):: Brian Winkel
Huangi, Y. and T. Lu. 2008. Modeling longterm longitudinal HIV dynamics with applications to an AIDS clinical study. The Annals of Applied Sciences. 2(4):...

1999Deuflhard, Peter  Differential Equations in Technology and Medicine. Computational Concepts, Adaptive Algorithms, and Virtual Labs. Notes.
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...

2017Cooper, Kevin  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...

1971Boyes, R. N., D. B. Scott, P. J. Jebson, M. J. Godman, and D. G. Julian  Lidocaine 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. 1971. Lidocaine in Man. Clinical Pharmacology and Therapeutics. 12(1): 105116.See https://europepmc.org/article/med/27297519 .Abstract: Plasma levels of lidocaine were measured in 5 normal male volunteers...

2006Loyd, Alun L. and Dominik Wodarz  Drug Resistance in Acute Viral Infections: Rhinovirus as a Case Study.
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.See http://www4.ncsu.edu/~allloyd/pdf_files/resistance_preprint.pdf . Accessed 18 September 2017.Abstract: The emergence and spread...

2011Nguyen, Olivia and Xiaoyu Shi  Modeling 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...

2017ASHP  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...

2017Unknown  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....

2012Jambhekar, Sunil S and Philip J. Breen  Chapter 2: Extravascular Routes Of Drug Administration in Basic Pharamacokinetics
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

1994Everingham, Susan S. and C. Peter Rydell  Modeling the Demand for Cocaine
25 Jun 2017   Contributor(s):: Susan S. Everingham, C. Peter Rydell
Everingham, Susan S. and C. Peter Rydell. 1994 Modeling the Demand for Cocaine. Rand Corporation: Santa Monica CA. See https://www.rand.org/pubs/monograph_reports/MR332.html .Keywords: Cocaine, difference equation, model, two compartment, drugs, data, parameter...

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....