EASY-FIT ModelDesign

Version 5.13 (2010)


Interactive software system for parameter estimation and experimental design for dynamical systems based on ...
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)

Proceeding from given experimental data, i.e., observation times and measurements, the minimum least squares distances of measured data from a fitting criterion are computed, which depends on the solution of the dynamic system. Various types of one-dimensional partial differential equations are permitted, also hyperbolic ones describing shock waves. Advection, diffusion, transport, or related equations can be solved successfully by non-oscillatory discretization schemes, even with non-continuous initial or boundary conditions.

A statistical analysis provides confidence intervals for estimated parameters, correlation and covariance matrix, identification of significance levels for estimated parameters, and optimum experimental design. As a by-product, curve and surface fits are available.

The software runs under MS-Windows XP or later. For models based only on algebraic equations, see EASY-FIT Express. For minimizing any nonlinear functions subject to nonlinear constraints, see EASY-OPT Express. In both cases, a free download is offered.

Features

Benefits

Case Studies

Applications

Demo Version

Technical Support

How to Get the Software

Articles and Resources

Do you want to see what other users said?




Features:

    user interface
            extensive database coming with 1.300 examples
            convenient modeling language with automatic differentiation
            alternative Fortran interface
            up to 30 fitting criteria and data sets
            syntax-highlighting editor
            extensive report and graphics facilities, also for Gnuplot
            in- and output of data by text files or Excel
            runs under Windows XP and Vista (contact the author for Windows 2K version )

    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
            s
witching 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

    database with 1.300 examples
            243 explicit model functions
            41 steady state systems
            10 Laplace transforms
            575 ordinary differential equations
            62 differential algebraic equations
            325 one-dimensional, time-dependent partial differential equations
            44 one-dimensional partial differential algebraic equations

... for more information see the documentation (378 pages, 554 references) easy_fit.pdf

 

Benefits:

    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 and highly complex statistical tools (significance levels, optimum design)

   

Case Studies:

    explicit functions
            linear compartment model with bolus application (LKIN_X)
            in-vivo glucose turnover rate (GLU_RATE) 
            surface plot for rational approximation (2D_INTRL)

    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

 

Applications:

Practical applications of EASY-FIT ModelDesign are (among many others):

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

 

Demo Version:

The demo version is identical to the full version, but data and model sizes are restricted. To download the demo version, click here. The full version is activated by license key.

 

Technical Support:

For more questions about features, installation, numerical routines, please contact
Prof. Klaus Schittkowski  
Department of Computer Science phone: (+49)921 553278
University of Bayreuth fax: (+49)921 553238
D-95440 Bayreuth, Germany klaus.schittkowski@uni-bayreuth.de

Attach your data fitting model in mathematical formulation to find out whether it can be treated by EASY-FITModelDesign or not.

 

How to Get the Software:

-  

members/students of an academic institution: check software and license conditions, verify your status, and send e-mail

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commercial institution: send e-mail for obtaining more details (price list and license conditions)

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visit the homepage of Visual Numerics Inc. under affiliated products

 

Articles and Resources:

    book: Numerical Data Fitting in Dynamical Systems, Kluwer Academic Publishers
    documentation
    many more publications

 

Do you want to see what other users said?

Then click here.

 
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