EASY-FIT^ModelDesign is a Windows-based application and callable Fortran subroutines for solving parameter estimation problems. Parameter estimation plays an important role in natural science, engineering and many other disciplines. The key idea is, given measured experimental data, estimate parameters of a mathematical model that describes the experiment.

EASY-FIT^ModelDesign can be used to estimate parameters for several types of models: 

• Explicit model functions
• Laplace Transforms
• Steady state systems
• Ordinary differential equations (ODE)
• Differential algebraic equations (DAE)
• One-dimensional, time-dependent partial differential equations (PDE)
• One-dimensional, partial differential algebraic equations (PDAE)

Trial Version
Technical Support
Pricing and Ordering Information
Features & Benefits
System Requirements
Examples & Additional Resources

Trial Version

A trial version is available containing all features of EASY-FIT^ModelDesign. The trial version is identical to the full version, but data and model sizes are restricted. The trial version runs under Microsoft Windows and comes with a large number of test examples, many of them based on real-life applications.

Download EASY-FIT^ModelDesign Trial version

In addition to the trial version, extensive examples with screenshots are available here.

Technical Support

Technical support is available from the author of EASY-FIT^ModelDesign, Prof. Klaus Schittkowski through a Visual Numerics Forum dedicated to EASY-FIT^ModelDesign. Visit the EASY-FIT^ModelDesign Forum.

For more questions about features, installation or numerical routines, you may also contact Professor Schittkowski at klaus.schittkowski@uni-bayreuth.de.

Pricing and Ordering Information

Single-user licenses are available, with academic and multi-license discounts.

	EASY-FITModelDesign 4.2
	PC – Windows Vista and earlier

Features & Benefits

• Extensive documentation. (378 pages, 554 references)
• Solution of complex identification problems with minimal implementation efforts
• Intuitively understandable and flexible modeling language
• Huge number of test cases to start from
• Sophisticated and up-to-date numerical routines
• Sound scientific background
• New (significance levels) and highly complex (optimum design) statistical tools

  User Interface

• Convenient modeling language with automatic differentiation
• Alternative Fortran interface
• Up to 20 fitting criteria and data sets
• Syntax-highlighting editor
• Extensive report and graphics facilities, also for Gnuplot
• Input and output of data by text files or Excel, Word output

  General

• Arbitrary fitting criteria depending on the parameters to be estimated, and the solution of the dynamic system
• Additional nonlinear equality or inequality constraints
• Second independent model variable called concentration
• Switching points with restart of integration, e.g., for changing the model
• Variable switching times, e.g., for modeling dynamical input functions
• Alternative norms (sum of absolute values, maximum of absolute values)
• Confidence intervals for estimated parameters, correlation and covariance matrix
• Identification of significance levels for estimated parameters
• Computation of optimal experimental designs (A-criterion)

  Ordinary Differential Equations (ODE)

• Explicit and implicit solvers
• Stiff and large ordinary differential equations, band structures
• Shooting method for unstable ordinary differential equations

  Ordinary Differential Algebraic Equations (DAEs)

• Algebraic equations up to index 3
• Consistent index-1-initial values evaluated internally

  One-Dimensional, Time-Dependent Partial Differential Equations (PDEs)

• Coupled ordinary differential equations
• Different integration areas with non-continuous transitions
• Large number of discretization procedures
• Upwind formulae and ENO method for hyperbolic equations
• Boundary conditions in Dirichlet or Neumann form or as implicit algebraic equations

  Please refer to the EASY-FIT^ModelDesign documentation for more information: Easy_fit.pdf

System Requirements

Recommended hardware configuration is at least a Pentium IV processor with 512 MB memory on board and at least 600 MHz. The complete installation requires up to 80 MB on hard disk. EASY-FIT^ModelDesign runs under Windows Vista and earlier.

Examples & Additional Resources

  Books & Documentation

• EASY-FIT^ModelDesign Documentation
• Publications List
• Numerical Data Fitting in Dynamical Systems, Kluwer Academic Publishers
• Terms and Conditions

  Examples

• Explicit Functions
      Linear compartment model with bolus application (LKIN_X)
• Systems of Equations (Steady-State)
      Receptor-ligand binding study (RECLIC19)
      Optimal residence time of a chemostat (CHEMSTAT)
• Laplace Equations
      Linear compartment model with bolus application (LKIN_L)
• Ordinary Differential Equations (ODE)
      Linear compartment model with bolus application (LKIN)
• Ordinary Differential Equations (ODE)
      Linear compartment model with bolus application (LKIN)
      Unstructured growth of trichosporon cutaneum (TRICHO)
• Ordinary Differential Algebraic Equations (DAEs)
      Pendulum (PENDU_I3)
      Batch reactor (BATCHREA)
• One-Dimensional Partial Differential Equations (PDEs)
      Heat equation (HEAT)
      Diffusion of tracer through soil (SOIL)
• One-Dimensional Partial Differential Algebraic Equations (PDEs)
      Heat equation (HEAT_A)
   
  ** Names in brackets refer to database identifiers

  Sample Applications

• Robot design
• Multibody system of a truck
• Nonlinear pharmacokinetics
• Receptor-ligand binding study
• Distillation column
• Chemical reactions, e.g., acetylen reactor
• Diffusion of substances through skin
• Diffusion of water through soil
• Drying maltodextrin in a convection oven
• Battery design
• Fluid dynamics of hydro systems
• MCFC fuel cells
• Drug dissolution