an example of fitting ode parameters to data using excel narrated by kerry braxton-andrew and josh...
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![Page 1: An Example of Fitting ODE Parameters to Data Using Excel Narrated by Kerry Braxton-Andrew And Josh Katzenstein](https://reader036.vdocuments.site/reader036/viewer/2022062407/56649d615503460f94a438e0/html5/thumbnails/1.jpg)
An Example ofFitting ODE Parameters to Data
Using ExcelNarrated by
Kerry Braxton-AndrewAnd
Josh Katzenstein
![Page 2: An Example of Fitting ODE Parameters to Data Using Excel Narrated by Kerry Braxton-Andrew And Josh Katzenstein](https://reader036.vdocuments.site/reader036/viewer/2022062407/56649d615503460f94a438e0/html5/thumbnails/2.jpg)
Modeling Radioactive Decay Rates
• Model EquationdN/dt = −λ * N(t)
• Decay Constant — λ — the inverse of the average lifetime of any given particle
• Number of Particles — N(t) — the total number of particles at a given time.
![Page 3: An Example of Fitting ODE Parameters to Data Using Excel Narrated by Kerry Braxton-Andrew And Josh Katzenstein](https://reader036.vdocuments.site/reader036/viewer/2022062407/56649d615503460f94a438e0/html5/thumbnails/3.jpg)
The Setup in Excel• Tabulate your experimental data
In this case time (t) and amount remaining (N)• Numerically determine dN/dt• Using the model equation guess a value for the
decay constant λ and determine dN/dt• Calculate the square of the residuals between
the dN/dt values for each time t• Sum the square of the residuals• Goal seek to minimize sum of square residuals
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Based experimental data on research from the following source: http://www.eas.asu.edu/~holbert/eee460/RadioactiveDecay.pdf
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