Sahil Patel Week 11

Electronic Lab Notebook

Purpose

The purpose of this assignment was to prepare a chemostat simulation in MATLAB and compare the computations to a steady state outcome.

Methods

The parameter values used were:
- q = 0.10 (1/hr)
- u = 5 (g/L)
- E=1.5
- r=0.8 (1/hr)
- K = 8 (g)
The formulas y = qK/(r-q) and x = (u-y)/E were taken from the document provided and were used to solve for cell biomass and nutrient mass at equilibrium
The MATLAB files chemostat_script.m and chemostat_dynamics.m that were provided were used to simulate the system dynamics
- Files were analyzed and compared to original results

Results

What are the steady states of cell biomass and nutrient mass?
- cell biomass: 2.57g
- nutrient mass: 1.14g
Assuming a 2 liter chemostat, what are the steady state concentrations of cells and nutrient?
- cell concentration: 1.29 g/L
- nutrient concentration: 0.57 g/L
Simulation of system dynamics using MATLAB

The graph reached a steady state equilibrium at around the 50 hr mark.
The steady states were around the same as the calculated results.

Conclusion

MATLAB was used to create a graph simulating the system dynamics of a chemostat which analyzed the cell biomass and nutrient mass. The steady state was reached at around 50 hours into the experiment nearly matching our calculations. These results show that a chemostat can be used to create a useful environment for a culture which includes a balanced inflow and outflow.

Acknowledgments

My homework partner, Desiree, and I communicated via text about our assignment.
Except for what is noted above, this individual journal entry was completed by me and not copied from another source.

References

Dahlquist, K. & Fitpatrick, B. (2019). "BIOL388/S19: Week 11" Biomathematical Modeling, Loyola Marymount University. Accessed from:Week 11 Assignment Page