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gmax

rsCs rb7b YsS"

rbCb

If equation 13 is substituted into equation 12, one obtains np = 1 -

Equation 14 indicates that the product yield is a function of the biomass true growth yield, which depends on the growth yield with respect to ATP and the efficiency with which ATP is formed through substrate phosphorylation. The product yield also depends on the values of the maintenance coefficient and specific growth rate. Table 4 shows

The true growth yield in equation 7 must satisfy the relationship (2)

(ffbCb/12) YvTP

where YXtp is the true growth yield based on ATP, d is the equivalents of available electrons transferred to products to produce 1 mol of ATP from ADP, and rb is the weight fraction carbon in biomass. Information on the theoretical maximum yield with respect to ATP and the value of d for a particular fermentation allows one to estimate the range of values of the growth-associated kinetic term in the product formation model. For d = 12 equivalents of available electrons per mole of ATP generated, Yatp = 28.8 g cells

Table 4. Effect of ATP Yield, True Growth Yield, Maintenance Coefficient, and Specific Growth Rate on Biomass Yield and Product Yield

wmax YATP

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