Week 2

This page contains the code, lecture notes, and data for Week 2.

Tuesday July 16th:

    - Review the differences between the exponential, logistic, modified logistic growth models (from Week 1).

        -- Spend more time with the modified logistic growth model (ModifiedLogisticGrowth.m) from last week.

        -- Spend more time practicing how to find parameters with the group data provided by the tutors.

        -- Finish analyzing the group data for Modified Logistic Model.

    - Analyze your data collected from the experimental lab.

        -- Plot your experimental data with the control data and label your figures.

        -- What changes do you see from your data compared to the control data?

        -- As we have done with practice data sets, assume a model type, work out the parameters by hand.

        -- What parameters have changed comparing your data to your control? Did your findings make sense?. 

    - Curve Fitting to assist with finding parameters for your data.   

            --- Modified Logistic Growth Model: Download the following three files to curve fit from "W2 - Curve Fitting".

             --- 1) CurveFit_ModLog2024.m (Finds a parameter set that fits data using fminsearch with the provided error function)

             --- 2) CF_Error_ModLog2024.m (Computes the "error" between two given data sets).

             --- 3) CF_Sim_ModLog2024.m (Simulates an outcome for a given parameter set.)

            ---- Searches through the parameters that produce a simulation that minimizes the error between your data.

        -- Curve fitting codes for Exponential Growth and Logistic Growth can also be found in Curve Fitting. 

  - Compare models with synthetic data, and experimental data using the corrected Akaike Information Criterion (AIC) 

   -- read the paper about AIC

Thursday July 18th:

    - Introduction to Therapy Models:

        -- ExpPopGrowthWithTherapy.m (Exponential growth with therapy).

        -- LogPopGrowthWithTherapy.m (Logistic growth with therapy).

        -- ModLogPopGrowthWithTherapy.m (Modified Logistic growth with therapy)

    - Go over variations to the therapy models.

        -- ModLogPopGrowthWithTherapyPlusInfusion.m (Modified Logistic growth with therapy plus infusion).

        -- ModLogPopGrowthWithTherapyTwoApplications.m (Modified Logistic growth with therapy, two applications)

    - Work on group projects.