FILTREX

IN WHICH CONTEXT YOU CAN USE FILTREX ?

In the microbiological context of modelisation of complex microbiological dynamic systems characterised by:

• One or several bacteria species leading eventually to several simultaneous dynamic equations.
• The growth or the inactivation are not directly observable.
• Sophisticated dilution and counting stepwise processes associated to several experimental errors.

FILTREX OBJECTIVES

• Parameter identification of the growth and inactivation models.
• Comparison and selection of these models.
• Optimal sequential sampling of experiments (three options).

FILTREX MATHEMATICAL FRAMEWORK

• A nonlinear particle filtering method based on a new nonlinear particular (nonparametrical) filtering technique using a convolution kernel approach and a particular resampling trick.
• Nonlinear autoregressive dynamic systems simultaneously defined by a stochastic state equation and an observation equation.
• Not directly observable systems.
• Non explicite likelihood function.

FILTREX ADVANTAGES

• No initial guesses for parameters are needed: postulated parameter intervals are only necessary (they can be broad in a first step if only very few information is available on parameters).
• The experimental errors (samplings, countings, ...) are better taken into account, and their coefficients of variation can be also estimated.
• It is based on published theoretical results (convergence, ...).
• In further releases, several species will be simultaneously considered.