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

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