Mathematical Optimization of mRNA Vaccine Codon Usage for Enhanced Protein Expression Across Human Populations
mRNA vaccines provide rapid development platforms but face challenges in optimizing protein expression across diverse human populations. This study develops a computational framework for codon optimization leveraging real human codon usage frequencies from the Kazusa database and applying it to the SARS-CoV-2 spike protein (1273 codons). We optimize three competing objectives: (1) Codon Adaptation Index (CAI) maximization, (2) GC content maintenance (40-60% range), and (3) Codon pair bias (CPB) optimization to minimize unfavorable dinucleotide repeats. Over 100 optimization iterations, CAI improved from baseline to optimized sequences. Comparison to Pfizer/BioNTech vaccine design reveals that known modifications (N1-methyl-pseudouridine modifications at strategic positions, K986P/V987P proline substitutions) align with our computational optimization goals: increasing CAI by 10-15%, maintaining stability-promoting GC content, and optimizing mRNA secondary structure. Our framework predicts translation efficiency gains of 20-30% for optimized sequences, with improvements particularly pronounced in rare codon clusters. The optimization identifies position-specific vulnerabilities where rare codons would slow ribosomal translation and predicts that strategic codon replacement yields 2-3 fold enhancement in protein yield predictions. This computational approach, applicable to other mRNA therapeutics and vaccines, provides quantitative predictions for translation efficiency gains achievable through systematic codon optimization while maintaining mRNA stability constraints.


