Abstract, "… and other system parameters." is revised to be "… and model parameters." 2. The second sentence of the Abstract, "The framework is built on the generalized polynomial chaos expansions and spectral decomposition." is revised to be "The framework is built via generalized polynomial chaos expansions and spectral decomposition."3. The last sentence of the Abstract, "…, in mars entry dynamics profile, with the same order of accuracy as the Monte-Carlo methods but with more computational efficiency." is revised to be "…, in Mars entry dynamics profile, with higher computational efficiency than Monte-Carlo technique and higher accuracy than generalized polynomial chaos.".4. At the beginning of the second sentence in the second paragraph of section I, "It enabling the assessment …" is revised to be "It enables the assessment …".