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An Example of Fitting ODE Parameters to Data Using Excel

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

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An Example of Fitting ODE Parameters to Data Using Excel

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

  2. 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.

  3. 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 λand 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

  4. Based experimental data on research from the following source: http://www.eas.asu.edu/~holbert/eee460/RadioactiveDecay.pdf

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