
1984Brunner, Walter and Dennis D. Focht  Deterministic ThreeHalfOrder Kinetic Model for Microbial Degradation of Added Carbon Substrates in Soil
05 Apr 2020  Contributor(s):: Brian Winkel
BRUNNER, WALTER AND DENNIS D. FOCHT. 1984. Deterministic ThreeHalfOrder Kinetic Model for Microbial Degradation of Added Carbon Substrates in Soil. APPLIED AND ENVIRONMENTAL MICROBIOLOGY. 47(1): 167172.See https://pubmed.ncbi.nlm.nih.gov/16346454/ .Abstract: The...

3015SStyrofoamBallFall
24 Mar 2020   Contributor(s):: Brian Winkel
We are given data on a falling Styrofoam ball and we seek to model this motion.

2011Winkel, Brian  Parameter estimates in differential equation models for chemical kinetics.
16 Mar 2020   Contributor(s):: Brian Winkel
Winkel, Brian. 2011. Parameter estimates in differential equation models for chemical kinetics. International Journal of Mathematical Education in Science and Technology. 42(1): 3751.See https://www.tandfonline.com/doi/abs/10.1080/0020739X.2010.500806. Abstract: We discuss...

2005TextSLinearizeItAll
09 Dec 2019   Contributor(s):: Don Hickethier
Linear approximations are often used to simplify nonlinear ordinary differential equations (ODEs) for ease in analysis. The resulting linear approximation produces an ODE where closed form solutions may be obtained. A simple model using Torricelli's Law will compare the exact solution to...

6019SEnablingEpidemicExploration
17 Sep 2018   Contributor(s):: Brian Winkel
We offer several strategies for estimating parameters in models of epidemics, one using a MichaelisMenten saturation infected rate.

6070SBeerBubbles
24 Apr 2018   Contributor(s):: Michael Karls
The goal of this project is to set up and numerically solve a firstorder nonlinear ordinary differential equation (ODE) system of three equations in three unknowns that models beer bubbles that form at the bottom of a glass and rise to the top. The system solution is then used to verify...

1999Khorasheh, Farhad , Amir Mahbod Ahmadi, and Abbas Gerayeli  Application of Direct Search Optimization for Pharmacokinetic 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.See https://europepmc.org/article/med/10953255 .Purpose. For simple pharmacokinetic...

1061SPotatoCooling
05 Oct 2016   Contributor(s):: Brian Winkel
We model the cooling of a baked potato and compare it to studentcollected data.

2015Sullivan, Eric and Brian Winkel  Parameter Estimation
15 Jul 2015   Contributor(s):: Brian Winkel
We offer a file related to the effort to estimate parameters in differential equation or function models. The file shows the MatLab code and the comparable Mathematica code for the same results.

1991Lobry, J. R. and J. P. Flandois  Comparison of Estimates of Monod's Growth Model Parameters from the Same Data Set
25 Jun 2015   Contributor(s):: J. P. Flandois, J. R. Lobry
Lobry, J. R. and J. P. Flandois. 1991. Comparison of Estimates of Monod's Growth Model Parameters from the Same Data Set. Binary. 3: 2023.The paper obtains the parameters in Monod's Growth model using a minimization of the sum of square errors with a given data set and obtains...

8002STextTrigSumRepresentation
04 Jun 2015   Contributor(s):: Brian Winkel
Students discover how to represent functions as sums of trigonometric functions and the value of such representations in many fields.

1015STorricelli
03 Jun 2015   Contributor(s):: Brian Winkel
We model the height of a falling column of water in a right circular cylinder (radius = 4.17 cm) emptying through a small hole on the side of the cylinder. Indeed, in all the videos below where are referred to in this Modeling Scenario the cylinder is a 2 liter soda pop...

1012SSublimationCarbonDioxide
03 Jun 2015   Contributor(s):: Brian Winkel
We offer data on the sublimation of dry ice (carbon dioxide) with data collected in a classroom setting so that students can model the rate of change in the mass of a small solid carbon dioxide block with a differential equation model, solve the differential equation, estimate the parameters in...

1030SIntraocularGasBubbles
01 Jun 2015   Contributor(s):: Brian Winkel
SPANISH LANGUAGE VERSION We have placed in Supporting Docs both Student and Teacher Version (LaTeX and PDF Versions) with a Spanish LaTeX Class file, SIMIODESPANISH.cls. Names will be xySTitleStudentVersionSpanish and xyTTitleTeacherVersionSpanish

1002STossing
11 May 2015   Contributor(s):: Brian Winkel
We offer students simulation experience or data from a simulation and ask them to model the simulation using several approaches, to include exponential decay fit, difference equation, and differential equation.We add a Hand Out Working Version which can be used in class authored by Rachel ...