Fitting Models to Biological Data Using Linear and Nonlinear Regression

Fitting data with nonlinear regression; 1 An example of nonlinear regression; 2 Preparing data for nonlinear regression; 3 Nonlinear regression choices; 4 The first five questions to ask about nonlinear regression results; 5 The results of nonlinear regression; 6 Troubleshooting bad fits; Fitting data with linear regression; 7 Choosing linear regression; 8 Interpreting the results of linear regression; Models; 9 Introducing models; 10 Tips on choosing a model; 11 Global models; 12 Compartmental models and defining a model with a differential equation; How nonlinear regression works; 13 Modeling experimental error; 14 Unequal weighting of data points; 15 How nonlinear regression minimized the sum-of-squares; Confidence intervals of the parameters; 16 Asymptotic standard errors and confidence intervals; 17 Generating confidence intervals by Monte Carlo simulations; 18 Generating confidence intervals via model comparison; 19 comparing the three methods for creating confidence intervals; 20 Using simulations to understand confidence intervals and plan experiments; Comparing models; 21 Approach to comparing models; 22 Comparing models using the extra sum-of-squares F test; 23 Comparing models using Akaike's Information Criterion; 24 How should you compare modes-AICe or F test?; 25 Examples of comparing the fit of two models to one data set; 26 Testing whether a parameter differs from a hypothetical value; How does a treatment change the curve?; 27 Using global fitting to test a treatment effect in one experiment; 28 Using two-way ANOVA to compare curves; 29 Using a paired t test to test for a treatment effect in a series of matched experiments; 30 Using global fitting to test for a treatment effect in a series of matched experiments; 31 Using an unpaired t test to test for a treatment effect in a series of unmatched experiments; 32 Using global fitting to test for a treatment effect in a series of unmatched experiments; Fitting radioligand and enzyme kinetics data; 33