Austindias Week 14/15

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Background on Tai et al. (2007)

This study evaluated the acclimation of Saccharomyces cerevisiae to low temperature using a two nutrient chemostat method. Prior to this paper the authors mention the common use of batch cultures. The authors suggest the superiority of the two nutrient chemostat in comparison to the batch cultures utilized in previous studies because of its ability to separate the effects of growth rate and temperature on gene expression at low temperatures. The main findings of the Tai et al. (2007) were:

  • It is not possible to only change a single parameter without an effect on any others, even using the chemostat culture approach
  • The only indistinguishable group of genes that was similarly regulated in low-temperature chemostats and batch culture studies on low-temperature adaptation were related to lipid metabolism
  • Trehalose is not involved in steady-state low-temperature adaptation
  • Transcript levels of environmental stress response genes were reduced at 12 C
  • Significant differences between transcriptional response to low temperature occur between long term exposure in comparison to abrupt temperature change
  • Transcriptional responses to low temperature and low specific growth rate can be separated by using chemostat cultures instead of batch cultures
  • It is highly important to differentiate phases of physiological adaptation in response to environmental change
  • Response to low temperatures by S. cerevisiae is not entirely dependent on changes in transcription


The objective of this assignment was to develop a MATLAB code that could model the chemostat used in Tai et al. (2007). The previous objective was to discover paramaters from this paper that could be applied to our MATLAB model. After performing this step, our next goal was to identify the activation energy and frequency factor constant, in addition to constructing a fuction of E (efficiency) in terms of y (residual glucose).

Mathematical Reasoning: Solving for 'A' and 'B'

  • Graphed ln K versus 1/T

lnK versus 1/T Plot

  • The slope of this graph was calculated to help solve for 'B'
    • slope = -8400.36 = -Ea/R
    • Ea = B = 69,840.59
  • Used Arrhenius equation (rate = A*exp(-B/(R*T)) to solve for 'A'
    • A = 4.979 x 10^11
  • Solved for the rate at 15, 20, and 25 C
    • 15 C
      • r = (4.979 x 10^11)e^(-69840.59)/((8.314)(288.15)) = 0.1087
    • 20 C
      • r = (4.979 x 10^11)e^(-69840.59)/((8.314)(293.15)) = 0.17874
    • 25 C
      • r = (4.979 x 10^11)e^(-69840.59)/((8.314)(298.15)) = 0.289

Mathematical Reasoning: Investigate the glucose efficiency/waste constant

m = (y-y)/(x-x)

12 C

  • m = (14.3-20)/(0.5045-16.22)
  • m = 0.363

30 C

  • m = (14.3-25)/(.0541-15.33)
  • m = 0.7004

E = my + b

12 C

  • 14.29 = (0.363)(0.5045) + b
  • b = 14.107

30 C

  • 14.29 = (0.7004)(0.0541) + b
  • b = 14.252

Overall Equations:

12 C

E = 0.363y + 14.107

30 C

E = 0.7004y + 14.252


Original Modeling of Two Nutrient Chemostat:

-Glucose 12 C -Glucose 15 C

-Glucose 20 C -Glucose 25 C -Glucose 30 C

Adjusted Model for E = myEff(y) Comaprisons

Comparison of Original Efficiency Versus Efficiency as a Function of Residual Glucose at 12 C

Comparison of Original Efficiency Versus Efficiency as a Function of Residual Glucose at 30 C

MATLAB files

Chemostat MATLAB Files

Final Presentation

Temperature Dependence and Nutrient Use Efficiency of Chemostat Reaction


  • Met with my homework partner Sahil Patel on several occasions to work through the assignment
  • Met with Edward Ryan R. Talatala once in person to help create a function of E (efficiency) in terms of y (residual glucose)
  • Alison S. King Helped with inputting specific growth rate values at 15, 20, and 25 C into MATLAB model

Austindias (talk) 07:10, 9 May 2019 (PDT)


Activation Energy. (n.d.). Retrieved from

Dahlquist, K. and Fitzpatrick, B. (2019). BIOL388/S19:Week 14/15. [online] Available at:Week 14/15 Assignment Page [Accessed 6 May 2019].

Dias, A. (2019). BIOL388/S19:Week 14/15. [online] Available at: Week 9 Assignment Page [Accessed 8 May 2019].

Tai, S. L., Boer, V. M., Daran-Lapujade, P., Walsh, M. C., de Winde, J. H., Daran, J. M., & Pronk, J. T. (2005). Two-dimensional transcriptome analysis in chemostat cultures combinatorial effects of oxygen availability and macronutrient limitation in Saccharomyces cerevisiae. Journal of Biological Chemistry, 280(1), 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.