did you mean behavioral reproduction in animal lab if you mean that it started by male sniff to the genital organ of female ad releasing special material (pheromones) detectted by female and response and rect ith male behavior
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System modelling plays an important role in engineering sciences as well in many other fields such as meteorology, economics, biology etc. It consists in constructing a mathematical model which represents the time evolution of the system behavior as well as the sequence of its operations.
Mathematically, it allows to develop mathematical relations between the input variables, the output variables and the parameters of the system to be modeled.
A mathematical model can be used for different purposes:
Study / Prediction of the behavior of a system under the effect of various setpoints or disturbances (parameter variations, sensor noise and actuators, etc.)
Design of control systems : It well known that modern control system synthesis methods are based on the use of the model of the system to be controlled.
Diagnosis, detection and fault detection.
Training of operators based on simulators .
Determination of quantities for which no easurement is available.
This model can be constructed using the physical modelling approach which leads to the white box models. This approach consists in decomposing the considered system in different parts (electrical part, mechanical part, heat conduction par t etc.) and then applying the appropriate first principles that govern each part. This approach can clearly be very complex since it requires detailed specialist knowledge in many different domains of science. In addition, the first principle models are often nonlinear and non-stationary and consequently the obtained models are too complex for most practical purposes. System identification represents an interesting solution of constructing models, known as black box models, since it allows to overcome most of these problems. Furthermore, it can be applied to all physical systems. This approach consists in constructing mathematical models from observed input and output data based on five main steps: data collection, model class selection, model structure estimation, model parameter estimation and model validation.
For the validation step, several approaches can be used which depends on the model purpose, the model structure, and so on. Among them, we cite the following the validation method based on a new set of experimental data. In this case, we can use the Time domain validation which consists in comparing the model output (identified from the first set of data) with the measured output (from the validation data). In addition we can use frequency domain validation which allows to compare the computed frequency response of the model with the identified nonparametric model (obtained by spectral analysis) in the Bode diagram.