Dear All,
I am looking for a simple spreadsheet for calculating the feeding regime for biomass production in a fed-batch mode.
Basically, I am growing baker's yeast and looking for a simple spreadsheet that I can provide my volumes, substrate concentrations, specific growth rate, starting biomass and target biomass So I can get feeding rate and time of fermentation required without going through the complex calculations and equations that I am not good at. I am using sucrose and 10L steered/controlled bioreactor. Anyone can help with this? I will be very much grateful.
Dear Abdelrahman,
I assume you want to feed exponentially. Use the following formula to calculate the feed rate at any time in the feeding phase:
F(t) = (µ_set / Y_xs + m) * ((V_0 * X_0 * exp(µ_set(t-t_0))/S_0)
with
F(t) - time-dependent feed rate [mL/h]
µ_set - targeted specific growth rate [1/h]
Y_xs - biomass yield [g dry cell weigth / g substrate]
(m - optional maintenance term [g substrate / g dry cell weight / h]
V_0 - reactor volume at the beginning of the feed phase [mL]
X_0 - biomass concentration at the beginning of the feed phase [g/L]
t-t_0 - time span between feed start and current process time [h]
S_0 - Substrate concentration in the feed medium [g/L]
If you want to calculate the time it takes to reach a certain biomass level just rearrange and solve for t-t_0.
See e.g. Article Improved Production of Medium-Chain-Length Polyhydroxyalkano...
Good luck
Michael
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