EdwardRyanTalatala Week 14/15
- 1 Purpose
- 2 Methods
- 3 Results
- 4 Acknowledgments
- 5 References
The purpose of this assignment was use MATLAB models to improve our understanding of the experiment and analysis of the Tai et al. (2007) paper. We also investigated the glucose efficiency/waste constant for glucose-limited and ammonium-limited conditions.
Determining temperature dependence using Arrhenius equation
Arrhenius equation: rate = A*e^(-B/(R*T))
- Figure out the constants A and B from the rate data in the TaiParamsRevised.m file.
- Simulate the chemostat for T = 15,20, 25 °C conditions and graph the time courses of the biomass and nutrients.
Investigating glucose efficiency/waste constant
Investigate the glucose efficiency/waste constant (that is not really a constant?) for the glucose-limited and ammonium-limited conditions.
- Note the values of E for glucose-limited and ammonium-limited conditions.
- For each temperature (12, 30), find a function E(y) that matches the two points of (y,E) data.
- Modify the chemostat_2nutrient_dynamics.m file to use the functions you've created.
- Compare the resulting simulation to the previous one.
Determining A & B Constants
Variables calculated using Arrhenius equation:
B = 69,840.59
- found using B = (Rln(k1/k2))/(1/T1-1/T2)
A = 4.979 * 10^11
- found by plugging in all the variables in Arrhenius equation
r(15°C) = (4.979 x 10^11)e^(-69840.59)/((8.314)(288.15)) = 0.1087
r(20°C) = (4.979 x 10^11)e^(-69840.59)/((8.314)(293.15)) = 0.1787
r(25°C) = (4.979 x 10^11)e^(-69840.59)/((8.314)(298.15)) = 0.289
Temperature Dependence Graphs
We used the glucose-limited conditions for the 15, 20, & 25°C graphs. We changed the values for the residual concentrations in the Params file until the SSE value was close to 0.
Efficiency Constant Investigation
Original: E = 1/Y
New equation: where E = my + b
- y = residual glucose
- use point intercept m = (y-y)/(x-x) to determine m
- plug new value into E = my + b to determine b
12°C: E = 0.363y + 14.11
- m = (14.3-20)/(0.5045-16.22) = 0.363
30°C: E = 0.7y + 14.25
- m = (14.3-25)/(.0541-15.33) = 0.7
Efficiency Constant Graphs
I would like to acknowledge my homework partner, Fatimah with whom I worked with to complete the assignment.
I worked with Austin to work on the efficiency constant investigation.
Dahlquist, K. and Fitzpatrick, B. (2019). BIOL388/S19:Week 14/15. [online] openwetware.org. Available at:Week 14/15 Assignment Page [Accessed May 8 2019].
Tai, S. L., Boer, V. M., Daran-Lapujade, P., Walsh, M. C., de Winde, J. H., Daran, J. M., and Pronk, J. T. (2005). Two-dimensional transcriptome analysis in chemostat cultures: combinatorial effects of oxygen availability and macro- nutrient limitation in Saccharomyces cerevisiae. J. Biol. Chem. 280, 437–447.
Tai, S. L., Daran-Lapujade, P., Walsh, M. C., Pronk, J. T., & Daran, J. M. (2007). Acclimation of Saccharomyces cerevisiae to low temperature: a chemostat-based transcriptome analysis. Molecular Biology of the Cell, 18(12), 5100-5112. DOI: 10.1091/mbc.e07-02-0131
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