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Inverse Problems solved with a Calculus-level (Programming) Language
Collections |
19 Mar 2021 |
Posted by Phil B Brubaker
https://simiode.org/members/5865/collections/calculus-level-programming-language-and-apps
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5-010-S-DNADegradation
21 Apr 2020 | | Contributor(s):: Brian Winkel
We ask students to use the system of first order linear differential equations given in a source paper and estimates of the data from laboratory procedures from a plot to estimate the parameters and complete the modeling process. Then we seek to compare the results of the final model with...
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2006-Jae-Joon Han, Martin H. Plawecki, Peter C. Doerschuk, Vijay A. Ramchandani, and Sean O'Connor - Ordinary differential equation models for ethanol pharmacokinetic based on anatomy and physiology
05 Apr 2020 | | Contributor(s):: Brian Winkel
Jae-Joon Han, Martin H. Plawecki, Peter C. Doerschuk, Vijay A. Ramchandani, and Sean O’Connor. 2006. Ordinary differential equation models for ethanol pharmacokinetic based on anatomy and physiology. Proceedings of the 28th IEEE EMBS Annual International Conference New York City,...
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2019-Radulescu, Anca and Tucker Lundgren - A pharmacokinetic model of lead absorption and calcium competitive dynamics.
05 Apr 2020 | | Contributor(s):: Brian Winkel
Radulescu, Anca and Tucker Lundgren. 2019. A pharmacokinetic model of lead absorption and calcium competitivedynamics. Biology and Medicine Through Mathematics Conference. Virginia Commonwealth University.See https://pubmed.ncbi.nlm.nih.gov/31578386/ .From...
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2011-Koch-Noble, G. A. - Drugs in the Classroom: Using Pharmacokinetics to Introduce Biomathematical Modeling
29 Mar 2020 | | Contributor(s):: Brian Winkel
Koch-Noble, G. A. 2011. Drugs in the Classroom: Using Pharmacokinetics to Introduce Biomathematical Modeling. Math. Model. Nat. Phenom. 6(6): 227-244.See https://www.mmnp-journal.org/articles/mmnp/pdf/2011/06/mmnp201166p227.pdf . Abstract: Pharmacokinetics is an excellent way to...
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2014-Bodine, 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 di erent means for modeling the world around us. Some mathematical toolsare...
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2004-Ledzewicz, 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 25-27, The Shangri-La Hotel, Bangkok, THAILAND. See https://www.siue.edu/~uledzew/papers/pprBangkok.pdf .Abstract: Phase...
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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...
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1-131-S-CaffeineElimination
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...
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1-130-S-AspirinAbsorption
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 ``zero-order 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...
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1971-Boyes, 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): 105-116.See https://europepmc.org/article/med/27297519 .Abstract: Plasma levels of lidocaine were measured in 5 normal male volunteers...
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2014-Wang, L., J. Cao, J. O. Ramsay, D. M. Burger, C. J. L. Laporte, and J. K. Rockstroh - Estimating Mixed-Effects Differential Equation Models.
21 Sep 2017 | | Contributor(s):: Brian Winkel
Wang, L., J. Cao, J. O. Ramsay, D. M. Burger, C. J. L. Laporte, and J. K. Rockstroh. 2014. Estimating Mixed-Effects Differential Equation Models. Statistics and Computing. 24: 111-121.See https://wiki.sfu.ca/research/cao/images/b/b4/MixEffectsODE.pdf .Abstract: Ordinary differential...
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2018-Bourne, David W. A. - 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...
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2004-Rescigno, Aldo - On the use of pharmacokinetic models.
11 Sep 2017 | | Contributor(s):: Brian Winkel
Rescigno, Aldo. 2004. On the use of pharmacokinetic models. Phys. Med. Biol. 49: 4657-4676.See https://tauruspet.med.yale.edu/staff/edm42/courses/ENAS_915_2014/papers/Rescigno-use%20of%20models%20PMB%202004%20%200031-9155_49_19_014.pdf .Abstract: Extensive use of models in...
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2012-Koch, Gilbert - Modeling of Pharmacokinetic and Pharmacodynamics of Cancer and Arthritis. PhD Dissertation.
10 Sep 2017 | | Contributor(s):: Brian Winkel
Koch, Gilbert. 2012. Modeling of Pharmacokinetic and Pharmacodynamics of Cancer and Arthritis. PhD Dissertation. 118 pp.See http://www.math.uni-konstanz.de/numerik/personen/koch/papers/Diss_Koch_Final.pdf .Abstract: Mathematical modeling of pharmacokinetics / pharmacodynamics (PKPD)...
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2017-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...
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2017-AccessPharmacy - Pharmacokinetics Of Drug Absorption
09 Sep 2017 | | Contributor(s):: Brian Winkel
AccessPharmacy (McGraw Ill). Applied Biopharmaceutics & Pharmacokinetics. Chapter 7. Pharmacokinetics of Oral.See https://accesspharmacy.mhmedical.com/book.aspx?bookID=1592 . Accessed 7 September 2017.From the web page.“The pharmacokinetics of drugs...
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2005-Wedenberg, Minna - Pharmacokinetic modeling of gastric emptying and small intestinal transit time in dogs using paracetamol and sulfasalazine as markers
09 Sep 2017 | | Contributor(s):: Brian Winkel
Wedenberg, Minna. 2005. Pharmacokinetic modeling of gastric emptying and small intestinal transit time in dogs using paracetamol and sulfasalazine as markers. Master’s Degree Project. Uppsala Universitet. 41...
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2014-Shafer, Steven. The Pharmacokinetic and Pharmacodynamic Basis of Target Controlled Infusion
09 Sep 2017 | | Contributor(s):: Brian Winkel
Shafer, Steven. The Pharmacokinetic and Pharmacodynamic Basis of Target Controlled Infusion. 60 pp.See https://web.stanford.edu/~sshafer/LECTURES.DIR/Notes/CCIP.DOC . Accessed on 7 September 2017. From the introduction of the paper, “Pharmacokinetics and...
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2015-Billard, Valerie - Pharmacokinetic-pharmacodynamic relationship of anesthetic drugs: from modeling to clinical use
09 Sep 2017 | | Contributor(s):: Brian Winkel
Billard, Valerie 2015. Pharmacokinetic-pharmacodynamic relationship of anesthetic drugs: from modeling to clinical use.See https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4754004/. Accessed on 6 September 2017.Abstract: Anesthesia is a combination of unconsciousness, amnesia, and...