# Falghane Week 11

## Purpose

The purpose of this assignment is to make a graph through MatLab that shows the stimulation of chemostat through multiple equations and comparing it to values found by hand.

## Methods

- The parameter values q = 0.10 (1/hr), u = 5 (g/L), E=1.5, r=0.8 (1/hr), K = 8 (g) were used in the formulas given in the following document this document. Additionally, the steady states of cell biomass and nutrient mass were found from it too.
- Assuming a 2-liter chemostat, the steady-state concentrations of cells and nutrient were found.
- The system dynamics were simulated using the MATLAB files and the parameters of (1).
- The Graph was then saved and uploaded to the 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

Steady states:

- Nutrition mass: 1.1428
- Cell biomass:2.57

Steady State Concentrations of Cells and Nutrient at 2L Chemostat:

- Nutrition mass: 1.1428/2 = 0.5714
- Cell biomass:2.57/2 = 1.28

Simulation of the system dynamics using the MATLAB files and the parameters of (1)

- The graph showed that the system was going to steady state.
- The steady state is similar to my (1) calculations.
- Below is the graph

Figure1: the graph above shows the states of both cells and food over time.

## Scientific Conclusion

The graph went to equilibrium between 40 and 50 hours and showed values similar to those I found by hand calculations.

## Acknowledgments

- I met with Dr.Fitzpatrick when I was confused about how to use MatLab.

Except for what is noted above, this individual journal entry was completed by me and not copied from another source.

Falghane (talk) 16:28, 10 April 2019 (PDT)