An Example of Fitting ODE Parameters to Data Using Excel Narrated by Kerry Braxton-Andrew And Josh Katzenstein.

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Presentation transcript:

An Example of Fitting ODE Parameters to Data Using Excel Narrated by Kerry Braxton-Andrew And Josh Katzenstein

Modeling Radioactive Decay Rates Model Equation dN/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.

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

Based experimental data on research from the following source: