Domain-Specific Applications

Ready-to-use fitting workflows for specific scientific domains.

Overview

These guides provide complete workflows for common curve fitting applications in specific scientific domains. Each guide includes:

  • Common model functions

  • Recommended parameter bounds

  • Initial guess estimation strategies

  • Domain-specific tips and pitfalls

Spectroscopy

Spectroscopy Applications

  • Peak fitting (Gaussian, Lorentzian, Voigt)

  • Fluorescence lifetime analysis

  • Absorption spectroscopy

  • Raman/IR spectra deconvolution

Imaging

Imaging Applications

  • 2D Gaussian fitting (PSF characterization)

  • Spot detection and quantification

  • Background estimation

  • Multi-spot fitting

Kinetics

Kinetics Applications

  • Michaelis-Menten enzyme kinetics

  • Binding isotherms (Langmuir, Hill)

  • Pharmacokinetics (1/2-compartment models)

  • Chemical reaction kinetics

Materials Science

Materials Science Applications

  • Stress-strain curves

  • Thermal analysis (DSC, TGA)

  • Relaxation phenomena

  • Creep and fatigue

General Tips

  1. Start with known physics: Use models derived from theory

  2. Validate with standards: Test on known samples first

  3. Document your workflow: Keep records of fitting parameters

  4. Report uncertainties: Always include parameter errors

See Also