TABLE 2.

Summary of the parameters used in the general mathematical model

Parameter	Units	Description	Value
μmax	Per hour	Maximal growth rate of cells	0.2785 h−1
βmax	Miller units per hour	Maximal rate of expression of fusion protein	1.0387 × 104 Miller units/h
kmax	Per hour	Maximal rate of degradation of fusion protein	0.1270 h−1
KMXS	Grams of malate per liter	Saturation constant of malate for cell growth	1.58 × 10−2 g of malate/liter
KIXS	Grams of malate per liter	Inhibition constant of malate for cell growth	7.805 × 103 g of malate/liter
KMXG	Percent	Saturation constant of DO2 for cell growth	0.1533%
KIXG	Percent	Inhibition constant of DO2 for cell growth	6.1583 × 103%
KMPS	Grams of malate per liter	Saturation constant of malate for fusion protein expression	5.7782 × 10−4 g of malate/liter
KBPG	Percent	Background expression constant of fusion protein	0.0056%
KMPG	Percent	Saturation constant of DO2 for fusion protein expression	7.6233%
KIPG	Percent	Inhibition constant of DO2 for fusion protein expression	0.6527%
Kk	Percent	Saturation constant of DO2 for degradation of fusion protein	0.4781%
YXS	OD578 units per gram of malate	Yield coefficient for biomass on carbon substrate	0.3282 OD578 unit/g of malate
YUS	Miller units per gram of malate	Yield coefficient for GUS activity on carbon substratea	2.7181 × 104 Miller units/g of malate

^aGUS, β-glucuronidase.