Brianna N. Samuels-Week 11

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Purpose

  • to use MATLAB to simulate a chemostat and compare the computations to a steady state outcome using the chemostat_script.m and chemostat_dynamics.m files provided

Methods

  • Use the parameter values q = 0.10 (1/hr), u = 5 (g/L), E=1.5, r=0.8 (1/hr), K = 8 (g). Using the formulae in the document (linked above), what are the steady states of cell biomass and nutrient mass?
    • x = 2.57g
    • y = 1.14g
  • Assuming a 2 liter chemostat, what are the steady state concentrations of cells and nutrient?
    • [x] = 1.5 gL
    • [y] = 0.5g/L
  • Simulate the system dynamics using the MATLAB files and the parameters of (1).
    • see Figure 1 in results
  • Do the graphs show the system going to steady state?
    • Yes, it starts to reach steady state around 40-50 hours
  • Do the steady states match your (1) calculations?
    • Yes, they are consistent
  • Be sure to save the graphs and upload them to your journal.
  • BONUS: can you get two y-axes, with the second one to the right of the picture like in the journal articles you’ve read?

Results

Figure 1 depicts the system dynamics that were simulated on MATLAB using the given parameters of steps 1 in the Methods section

Acknowledgments

  • Homework Partner: Austin Dias
  • All files provided by Dr. Dahlquist and Dr. Fitzpatrick
  • Except for what is noted above, this individual journal entry was completed by me and not copied from another source.

Scientific Conclusion

The purpose of this assignment was to use MATLAB to simulate a chemostat and compare the computations to a steady state outcome using the chemostat_script.m and chemostat_dynamics.m files provided. This was achieved and overall seemed to match the calculated values. I got a little bit more familiar with MATLAB but still am having trouble understanding how to work it.

References

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