For high cell density cultivation of recombinant E. coli using fed batch techniques to maintain a constant specific grow
The principle of genetic engineering explains that vector design and pathway extension enable vitamin production. Hence increased exponentially fits best because it utilizes recombinant DNA and metabolic engineering, as documented in authoritative sources on biotechnology.
Ref: Glick et al., Molecular Biotechnology, 5th Edition, Chapter 4, Molecular Techniques, explains PCR, sequencing, electrophoresis and molecular analysis essential for genetic manipulation.