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The validity of mathematical model parameters was checked by a frontal chromatography experiment.
In order to design controllers, the induction micromachine must be modeled, and its mathematical model parameters must be identified.
The influence of mathematical model parameters on the dynamics of pressure and temperature fields at non-isothermal gas filtration is investigated in a numerical experiment.
We used simple kinetic equations to describe real chemical reactions and to solve a reverse problem of restoring mathematical model parameters.
Mathematical modelling has shown that Cl− efflux mathematical model parameters (relative membrane permeability, relative rate of exchanger transition, and exchanger efficacy) were the same in control and in the medium in which Na+ had been substituted by D-mannitol.
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The development of metabolic networks models includes several steps which must interconnect with each other, related to biological knowledge, experimental data acquirement, mathematical modeling, parameters estimation, and model evaluation.
Further, we need a statistical model to estimate input parameters from complex mathematical models (parameter estimation and model build up) and under a non-deterministic system, if we need to predict the future behavior of a system based on past observations, then statistical prediction models provide the best option (forecasting).
By iterative cycles of mathematical modeling, parameter estimation, and comparison of simulation and experimental data, we obtained a quantitative model of excitation and adaptation in halobacterial phototaxis and chemotaxis.
As the field is very broad for the purpose of this paper, we will focus on faults that can be represented by a change of either parameters in the mathematical model or parameters of stochastical disturbances of the analyzed system.
If large errors are included in mathematical model structure, model parameters, sink/source terms and boundary conditions, the model cannot produce accurate results.
Then by applying a mathematical model, kinetic parameters were determined.
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