Tracking Micronutrients in Anaerobic Bioreactor System

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A mathematical model for tracking micronutrients in an anaerobic bioreactor system with multiple chambers can be developed by considering the known concentrations of micronutrients in the feed and the measured effluent concentrations. Key factors include the flow dynamics between chambers and the reaction rates for each biochemical process occurring within them. Understanding the interactions and nutrient transfer between chambers is crucial, as is defining the target variables for micronutrient concentrations. The system's instability and lack of steady state present challenges that require detailed data on each chamber's function and nutrient cycling. Additional information on chamber interactions and reaction kinetics will enhance model accuracy and effectiveness.
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?
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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