Team:IIT Delhi/Modeling

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Revision as of 11:22, 17 October 2014

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-i have the equations with the data; let x=mRNA, y=protein, z=NOx; then
-dx/dt = 4.56 - 0.00345*x                  x(0)=0
-dy/dt = 0.1*x - 1.148*10^-3*y           y(0)=0
-now i facing problem with NOx rate equation; i want to apply ,"input_rate - output_rate + generation_rate - consumption_rate = accumulation_rate".
-and the equation is; dz/dt= - 770*y*z/(0.00003+z),   z(0)=0; assuming no inlet of 'z';  doing this matlab gives z=0, for all t. thats the problem.
-also dz/dt=1000 - 770*y*z/0.00003+z,z(0)=0', assuming 1000 NOx molecules enter per second in the cell, this doesn't give any explicit solution.
-now if remove 'y' and put any numeric value of protein concentration, solving for 'z' gives a result but it shows all molecules of NOx are converted in less than a second. another error i guess
-graphs for mRNA and protein concentration with time are attached.
-graphs for mRNA and Protein are ok, but NOx levels are giving problem.