Cameron M. Rehmani Seraji Week 7
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Purpose
- The purpose of this weeks assignment was to create a presentation on the mathematical models of nitrogen metabolism that were generated in the week 6 assignment.
Methods
- Created new differential equations from week 6 and modeled them in Matlab. The function and script are shown below.
- Created the function 'YeastGrowthCR.m'
function dx = YeastGrowthCR(t,x) global D u1 u2 u3 V1 K R dx = zeros(size(x)); dx(1) = ((D*u1) - (D*x(1)) - (x(3))*(V1)*((x(1)/x(1)+K)*(x(2)/x(2)+K))); dx(2) = ((D*u2) - (D*x(2)) - (x(3))*(V1)*((x(1)/x(1)+K)*(x(2)/x(2)+K))); dx(3) = (x(3))*(R)*(V1)*((x(1)/x(1)+K)*(x(2)/x(2)+K)) - (D*x(3)); dx(4) = (D*u3) - (D*x(4)) -((x(3)*x(4)*V1)/K+x(4)); dx(5) = ((x(3)*x(4)*V1)/(K+x(4))) - (D*x(5)); end
- created the script 'YeastGrowthCRscript.m'
global D u1 u2 u3 V1 K R D=0.15; u1=120; u2=60; u3=40; V1=0.5; K=5; R=1.0; t0=0; t1=100; tt = [t0:t1]; x0 = [1.5;9.5;5;0;2.6]; [t,x] = ode45('YeastGrowthCR',tt,x0); plot(t,x) xlabel('time') ylabel('concentrations') title('Nitrogen Metabolism Model') legend('Ammonia','Glucose','Yeast','O2','CO2')
Results
Conclusion
- The systems of equations were modeled and a presentation was made to present the results that were found while modeling the system of equations.
Acknowledgments
- I worked with Lauren M. Kelly and Margaret J. O'Neil in Seaver 120 on Wednesday, March 1, 2017.
- Except for what is noted above, this individual journal entry was completed by me and not copied from another source.
- Cameron M. Rehmani Seraji 02:44, 2 March 2017 (EST):
References
- Dahlquist, Kam D. (2017) BIOL398-05/S17:Week 7. Retrieved from http://www.openwetware.org/wiki/BIOL398-05/S17:Week_7 on 28 March 2017.
- Schure, E. G., Sillje, H. H., Raeven, L. J., Boonstra, J., Verkleij, A. J., & Verrips, C. T. (1995). Nitrogen-regulated transcription and enzyme activities in continuous cultures of Saccharomyces cerevisiae. Microbiology, 141(8), 2019-2019. doi:10.1099/13500872-141-8-2019
- Cameron M. Rehmani Seraji
- Weekly Journal Entries
- Cameron M. Rehmani Seraji Week 2
- Cameron M. Rehmani Seraji Week 3
- Cameron M. Rehmani Seraji Week 4
- Cameron M. Rehmani Seraji Week 5
- Cameron M. Rehmani Seraji Week 6
- Cameron M. Rehmani Seraji Week 7
- Cameron M. Rehmani Seraji Week 7 Redo
- Cameron M. Rehmani Seraji Week 9
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