Tags: compartment

All Categories (1-20 of 21)

  1. 1-032-S-DigoxinElimination

    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 ``first-order reaction'' in the language of pharmacokinetics -- the study of how drugs move in the body. This activity can be used to introduce compartmentalized...

  2. 1984-Hays-CompartmentModelsForHumanIodineMetabolism

    07 Mar 2018 | | Contributor(s):: Marguerite Hays

    Hays, Marguerite. 1984. Compartmental Models for Human Iodine Metabolism. Mathematical  Biosciences. 73: 317-335.ABSTRACT: Compartmental models for the various aspects of human iodine metabolism are reviewed, emphasizing the role of Mones Berman in the development of this field. The review...

  3. 1986-Byori-ConnectionsBetweenCompartmentSystems-IntegroDifferentiaoEquations

    26 Nov 2017 | | Contributor(s):: Brian Winkel

    1986. Gyori, Istvan. Connections between compartment systems with pipes and integro-differential equations.  Mathematical Modeling. 7:  1215-1238.Abstract:  Compartmental models are a frequently used tool for the mathematical description of physiologic processes. In the classical...

  4. Math 216 Demonstrations

    12 Sep 2017 | | Contributor(s):: Brian Winkel

    Math 216 Demonstrations. https://instruct.math.lsa.umich.edu/lecturedemos/ma216/docs/ . Accessed 11 September 2017.This site contains many, many applications with good presentation and analysis as well as Matlab files to illustrate the concepts. For example modeling a swinging door with spring...

  5. 2004-Rescigno-Use of Pharmacokinetics Models

    11 Sep 2017 | | Contributor(s):: Brian Winkel

    Rescigno, Aldo. 2004. On the use of pharmacokinetic models. Phys. Med. Biol. 49: 4657-4676.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...

  6. 2012-Misra-Mathematics Model for the Spread of Two Political Parties

    11 Sep 2017 | | Contributor(s):: Brian Winkel

    Misra, Arvind Kumar. 2012. A simple mathematical model for the spread of two political parties. Nonlinear Analysis: Modelling and Control. 17(3):  343–354.Abstract. In this paper, a non-linear mathematical model for the spread of two political parties has been proposed and...

  7. 2005-Howard-Modeling with Differential Equations

    10 Sep 2017 | | Contributor(s):: Brian Winkel

    Howard P. 2005. Modeling with ODE. Notes. 48 pp.Great exposition and lots of Modeling Scenarios almost laid out completely as exercises.From the textOverviewA wide variety of natural phenomena such as projectile motion, the flow of electric current, and the progression of chemical reactions are...

  8. 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/p2418-sample-chapter-1.pdf . Accessed 10 September 2017. American Society of Health-System Pharmacists.This is the introductory Lesson 1 in an online set of materials to introduce...

  9. Katul-ENV264 - Applied DE in Env Sci Models

    10 Sep 2017 | | Contributor(s):: Brian Winkel

    Katul, Gabriel G. ENV264 Applied Differential Equations in Environmental Sciences. Notes.Many environmental problems require the construction and solution to equations (or systems of equations) that involve relations between rates and states of environmental variables. The objective of this...

  10. AccessPharmacy-Pharmacokinetics 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...

  11. 2017-Peletier-Differential 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...

  12. 1999-AllenLoveAndDifferentialEquations

    09 Sep 2017 | | Contributor(s):: Brian Winkel

    Allen, David M. 1999. Love and differential equations:  An Introduction to Modeling. PowerPoint Presentation. 44 slides.This is a set of slides with lots of topics touched upon briefly, but in the end there is an analysis of the Romeo and Juliet relationship.Keywords: differential equation,...

  13. 2011-Koch-Pharmacokinetic 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): 227-244....

  14. Gustafson-2250 Systems Differential Equations Applications

    08 Sep 2017 | | Contributor(s):: Brian Winkel

    Gustafson, G. B. Systems of Differential Equations, Chapter 11. 69 pp.This material is from a wealth of other material authored by Grant B. Gustafson in the Mathematics Department at the University of Utah.  See http://www.math.utah.edu/~gustafso/  for up to date information on his...

  15. 1971-Metzler-Usefulness Of Two Compartment Open Model In Pharmacokinetics

    07 Sep 2017 | | Contributor(s):: Brian Winkel

    Metzler, Carl M. , 1971. Usefulness of the Two-Compartment Open Model in Pharmacokinetics. Journal of the American Statistical Association, 66( 333): 49-53Abstract: Compartment models are widely used in pharmaceutical research to quantitate the kinetics of absorption, distribution, metabolism...

  16. 2014BlomhojEtAl-CompartmentModels

    07 Sep 2017 | | Contributor(s):: Brian Winkel

    Blomhøj, M. , T. H. Kjeldsen, and J. Ottesen. 2014. Compartment models.   http://www4.ncsu.edu/~msolufse/Compartmentmodels.pdf . Accessed 7 September 2017.From the first paragraph, “Background: It is important to master the ability to develop models. Modeling of dynamical...

  17. ShareTechNotes-DEModels-Tanks

    05 Sep 2017 | | Contributor(s):: Brian Winkel

    TechShareNotes.  Differential Equations Modeling:  Example Mixing.  http://www.sharetechnote.com/. Accessed 4 September 2017.TechShareNotes is a web site with rich differential equation modeling html pages and this one is about mixing in one, two, and three tanks, with interesting...

  18. 1996-ErdmanMorelock-StudyOfKinetics

    03 Sep 2017 | | Contributor(s):: Brian Winkel

     Erdman, Donald  (SAS Institute Inc., Cary, NC) and  Maurice M. Morelock, (Boehringer Ingelheim Pharmaceuticals). 1996.   A Study of Kinetics: The Estimation and Simulation of Systems of First-Order Differential...

  19. 1-086-S-MedicinalPill

    31 Aug 2017 | | Contributor(s):: Brian Winkel

    Administration of a medicinal pill in single and multiple doses is modeled.

  20. Compartment Models

    19 Sep 2016 | | Contributor(s):: Brian Winkel

    Blomhøj, M, T.H. Kjeldsen, and J. Ottesen. 2014. Compartment Models.From the Introduction of this 47 page chapter the authors say,"Background: It is important to master the ability to develop models. Modeling of dynamical systems plays a very important role in applied science, and...