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It is interesting to analyze the parameter sensitivity of mathematical models that describe physical systems, and it deserves particular attention the sensitivity study of models with uncertainty in the parameter values. Global sensitivity takes into account the entire range of parameter uncertainty because it considers the parameters as random variables. This paper presents the global sensitivity analysis in frequency of a parametric mathematical model of lateral dynamics of a vehicle model, with an approach based on the polynomial chaos expansion of the model response. This technique allows to easily represent the system as a stochastic model, where the parameters become random variables that vary according to their uncertainty. The stochastic model should be a very close approximation of the original model.