Before revision:  Both mis-reading of mRNA codon and prior mis-charging of a tRNA can lead to "mis-sense" error, i. e,. erroneous substitution of a correct amino acid monomer by an incorrect one during the synthesis of a protein. We develop a theoretical model of protein synthesis that allows for both types of contributions to the "mis-sense" error. We report exact analytical formulae for several quantities that characterize the interplay of mis-charging of tRNA and mis-reading of mRNA. The average rate of elongation of a protein is given by a generalized Michaelis-Menten-like formula.
After revision:  Both mis-reading of mRNA codon and prior mis-charging of a tRNA . By a combination of analytical and numerical methods we obtain the distribution of the times taken for incorporation of the successive amino acids in the growing protein in this mathematical model. The corresponding exact analytical expression for the average rate of elongation of a protein is given by a generalized Michaelis-Menten-like formula.