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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: http://www.eas.asu.edu/~holbert/eee460/RadioactiveDecay.pdf