Skip to main content

Table 1 List of symbols

From: Versatile modeling and optimization of fed batch processes for the production of secreted heterologous proteins with Pichia pastoris

Symbol

Definition

unit

c

model parameter

h

D

dilution rate

h-1

d

axis intercept

g h-1

F

flow rate

g h-1

F L

flow rate of linear feed

g h-1

k

slope

g h-2

k q

Monod constant for qP

h-1

m S

maintenance coefficient

h-1

p

product concentration

mg L-1

P

product mass

mg

q P

specific product formation rate

mg g-1 h-1

Q P

volumetric productivity

mg L-1 h-1

q Pmax

maximum specific productivity

mg g-1 h-1

S

substrate mass

g

s f

substrate concentration

g L-1

s q

estimated standard deviation of qP

mg g-1 h-1

s Y'

estimated standard deviation of Y'XS

-

t

time

h

t L

time of linear feed

h

T

total feed time

h

V

volume

L

V l

volume of liquid supernatant

L

x

dry biomass concentration

g L-1

X

dry biomass

g

Y' XS

observed biomass yield coefficient

-

Y XS

theoretical biomass yield coefficient

-

Greek symbols

μ

specific growth rate

h-1

ν YDM

specific volume of biomass

L kg-1

ρ f

density of feed medium

kg L-1

τ

average residence time

h