Question: I need to convert this time domain process model into a Laplace domain transfer function. The time domain process model is a combination of a

I need to convert this time domain process model into a Laplace domain transfer function.

The time domain process model is a combination of a mass balance and Monod kinetics

I need to convert this time domain process model into a Laplace

domain transfer function. The time domain process model is a combination of

The only variables that change with time are the algae specific growth rate (mu), the light intensity (I), and the Algae concentration in the flow cell (C_algae).

Thank you!

- Mass Balance: dtdCAlgae=CAlgaeVFinCAlgae - Monod Light-Limited Growth Kinetics: =maxI+KII - Combine: dtdCAlgae=maxI+KIICAlgaeVFinCAlgae CAlgae : Algae concentration in flow cell [g/mL] : Algae specific growth rate [1/h] Fin : incoming liquid flow in flow cell [mL/h] V: Flow cell volume capacity [mL] max : Maximum algae specific growth rate [1/h] I : Light intensity [\% of maximum] KI : Half-saturation light coefficient

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