Tracking Micronutrients in Anaerobic Bioreactor System

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Jovany
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How can we make a mathematical model for tracking micronutrients in an anaerobic system (Bioreactor) that has different chambers. The feeding ( Sargassum spp.) inters in the first chamber and should pass through the system 'til the last chamber. We know the concentration of micronutrients( Fe, Ni, Co, Mo, Zinc, Mg, Mn) in the feeding. And we have data (measure the concentration of micronutrient at the end of the system) on the effluent(out). We know normally how long takes(times) take the feeding comes from the first chamber to the last chamber. How can we make a math model for this system if it is not stable(we never reach the steady state? Thank you for your help!
 
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I would love to help you out! But I need some more information.

  1. Could you please draw a picture of the bioreactor?
  2. What's happening in each chamber?
  3. Which chambers are feeding which chambers?
  4. Do you have the reaction rates for every reaction occurring?
  5. Is your target variable the concentration of every nutrient in every chamber?