Splines and compartment models : an introduction

Pt. 1. Spline models. 1. Why spline functions? --
2. Interpolating splines of degree n --
3. Interpolating cubic splines. 3.1. Interpolating cubic splines with other extreme characteristics --
4. Smoothing natural cubic splines and the choice of the smoothing parameter. 4.1. Estimating the smoothing parameters --
5. Interpolating quadratic splines --
6. Interpolating quadratic splines and parabolas --
7. Smoothing quadratic splines. 7.1. Smoothing quadratic splines and the integral of the quadratic first derivative. 7.2. Quadratic splines smoothing the predefined first derivatives --
8. Splines and averaged functions. 8.1. Averaged splines in the case of common knots. 8.2. Averaged kinetics and reference ranges. 8.3. Growth curves and averaged splines without common knots --
pt. 2. Compartment models. 9. Concept of a context related mathematical pharmacokinetical model --
10. Compartment models. 10.1. One-compartment model. 10.2. Two-compartment models. 10.3. More-compartment models --
11. Other deterministic models. 11.1. Compartment models with delay. 11.2. Nonlinear kinetics --
12. Calculability and identifiability --
13. Compartment models and associated residence time distributions. 13.1. Unbounded residence times. 13.2. Properties of distributions of unbounded residence times. 13.3. Truncations --
14. Other stochastic models. 14.1. Stochastic differential equations. 14.2. Stochastic processes. 14.3. Regression attempts --
15. Calculation methods related to compartment models. 15.1. Method of least squares parameter calculations. 15.2. Statistical parameter estimation for an individual kinetics. 15.3. The varied minimum-[symbol]-method applied to population kinetics --
16. Selection of pharmacokinetic models --
17. Pharmacokinetics for multiple applications --
pt. 3. Mathematica programs for selected problems.