THE SPECIFIC OBJECTIVES OF THE PROPOSED WORK ARE SUMMARIZED BELOW. 1. IDENTIFY KEY NON-EQUILIBRIUM PROCESSES USING SENSITIVITY ANALYSIS. 2. CONSTRUCT A HIGH FIDELITY KINETICS AND RADIATIVE DATABASE TO ANALYZE THE NON-EQUILIBRIUM RADIATION TRANSFER AND CHEMICAL RELAXATION PROCESSES USING A STATE-TO-STATE DESCRIPTION. 3. CONSTRUCT A REDUCED ORDER MODEL FOR RADIATION AND KINETICS 4. VALIDATION AND UNCERTAINTY QUANTIFICATION BASED ON THE SOLUTION OF THE INVERSE PROBLEM USING BAYES THEOREM USING EAST EXPERIMENTAL DATA.