Team:IIT Bombay India/PSM
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| Established in 1958, [http://www.iitb.ac.in IIT Bombay] is one of the most recognized centers of academic excellence in the country today. The excellence of its academic programs, a robust research and development program with parallel improvement in facilities and infrastructure have kept it at par with the best institutions in the world. The ideas on which such institutes are built evolve and change with national aspirations, national perspectives, and global trends. At IIT Bombay we are continuously seeking to extend the boundaries of our research in a sustained manner with clear cut executable goals, grounded solidly in national realities. | | Established in 1958, [http://www.iitb.ac.in IIT Bombay] is one of the most recognized centers of academic excellence in the country today. The excellence of its academic programs, a robust research and development program with parallel improvement in facilities and infrastructure have kept it at par with the best institutions in the world. The ideas on which such institutes are built evolve and change with national aspirations, national perspectives, and global trends. At IIT Bombay we are continuously seeking to extend the boundaries of our research in a sustained manner with clear cut executable goals, grounded solidly in national realities. | ||
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+ | Stochastic Modelling for the system | ||
+ | Objective:- To characterize the intrinsic noise present in the system for all the 4 strains. | ||
+ | To compare the lac I expression levels and plasmid concentrations and the errors associated with them for each of the 4 strains, using a simplified phenomenological model. | ||
+ | Model | ||
+ | A simplified model for lacI expression and copy number regulation is developed. | ||
+ | dlacI/dt=K_1*Cn*C1-( μ+β)Cn-K_4*C3 | ||
+ | dCn/dt=K_2*(Cn*C2)/(K_c+ 〖Cn〗^2 )-(μ+β_2 )*Cn | ||
+ | (d(lacI-IPTG))/dt=K_4*C3 | ||
Revision as of 17:29, 21 October 2009
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Phenomenological Stochastic Model |
Established in 1958, [http://www.iitb.ac.in IIT Bombay] is one of the most recognized centers of academic excellence in the country today. The excellence of its academic programs, a robust research and development program with parallel improvement in facilities and infrastructure have kept it at par with the best institutions in the world. The ideas on which such institutes are built evolve and change with national aspirations, national perspectives, and global trends. At IIT Bombay we are continuously seeking to extend the boundaries of our research in a sustained manner with clear cut executable goals, grounded solidly in national realities.
Stochastic Modelling for the system Objective:- To characterize the intrinsic noise present in the system for all the 4 strains. To compare the lac I expression levels and plasmid concentrations and the errors associated with them for each of the 4 strains, using a simplified phenomenological model. Model A simplified model for lacI expression and copy number regulation is developed. dlacI/dt=K_1*Cn*C1-( μ+β)Cn-K_4*C3 dCn/dt=K_2*(Cn*C2)/(K_c+ 〖Cn〗^2 )-(μ+β_2 )*Cn (d(lacI-IPTG))/dt=K_4*C3
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