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Effect of time delay in specific growth rate on the periodic operation of bioreactors with input multiplicities

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Abstract

The effect of time delay in specific growth rate (μ) on the periodic operation of bioreactors with input multiplicities is theoretically analyzed for productivity improvement. A periodic rectangular pulse is applied either in feed substrate concentration (Sf) or in dilution rate (D). Periodic operation under feed substrate concentration cycling gives improvement in productivity at lower value of ¯Sf of the two steady-state multiplicities of Sf only when the time delay in μ is larger. Whereas the larger value of ¯Sf gives improvement in average productivity for all values of time delay. Dilution rate (D) cycling gives an improvement in average productivity particularly for larger time delay in μ. This improvement in average productivity is obtained only at smaller value of dilution rate out of the two steady-state input multiplicities of D.

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Abbreviations

D 1/h:

dilution rate

F:

memory function

g:

dummy variable

Ki g/l:

substrate inhibition constant

Km g/l:

substrate saturation constant

P g/l:

product concentration

Pm g/l:

product saturation constant

Q g/(hl):

product cell produced per unit time

S g/l:

substrate concentration

Sf g/l:

feed substrate concentration

Sf,p g/l:

feed substrate concentration during γ fraction of a period

X g/l:

biomass concentration

YX/S g/g:

cell mass yield

w:

variable either S or Z

Z g/l:

weighted average of substrate concentration

α 1/h:

time delay parameter

β 1 , β 2 :

product yield parameters, g/g and 1/h

γ :

pulse width expressed as a fraction of a period

μ 1/h:

specific growth rate

μ m 1/h:

maximum specific growth rate

τ h:

period of oscillation

−:

average value

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Authors and Affiliations

  1. Department of Chemical Engineering, Indian Institute of Technology, 600 036, Madras, India

    I. V. K. Subrahmanya Sastry, G. Pavan Kumar & M. Chidambaram

Authors
  1. I. V. K. Subrahmanya Sastry
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  2. G. Pavan Kumar
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  3. M. Chidambaram
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Subrahmanya Sastry, I.V.K., Kumar, G.P. & Chidambaram, M. Effect of time delay in specific growth rate on the periodic operation of bioreactors with input multiplicities. Bioprocess Engineering 10, 127–130 (1994). https://doi.org/10.1007/BF00369468

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