Plotting multiple curves for the same parameter on the same graph.

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Esraa Abdelkhaleq 2017-1-9

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https://ww2.mathworks.cn/matlabcentral/answers/319675-plotting-multiple-curves-for-the-same-parameter-on-the-same-graph

关闭： MATLAB Answer Bot 2021-8-20

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Hello,

Unfortunately, I have asked a question about parameters sensitivity analysis, but I did not receive any answer.

Now, I just want to ask about plotting multiple curves for the same parameter on the same graph.

My problem appears when I try to get the value of "t" in my model equation:

   syms q(t)
q(t) = ((10.925*10^(-6)*4.74*1)\((5.78*10^(-3)+11.31)*(5.78*10^(-3)+2.14)))*exp(5.78*10^(-3)*t)+(((4.74*1)\((5.78*10^(-3)+11.31)*(2.14-11.31)))-((4.74*1)\((5.78*10^(-3)+11.31)*(5.78*10^(-3)+2.14)))-(1\(2.14-11.31)))*(10.925*10^(-6)*exp(-2.14*t))+(7.16*10^(4)*exp(-2.14*t))+(1-((4.74*1)\(5.78*10^(-3)+11.31)))*((10.925*10^(-6)\(2.14-11.31))*exp(-11.31*t))-(3150*3.8)==0 ;
sol = vpasolve(q)

What I obtained is:

sol =

Empty sym: 0-by-1

So, I want to do a sensitivity analysis to the parameters to get a valid solution.

The model equation,

dqidt=(fi_Ri*Nc0*ai\(Kgr+di))*(exp(Kgr*t)-exp(-di*t))+(fi_Ri*Ni0*exp(-di*t))+fih_Rih_Nih-Kei*qi

The solution for qi(t), by taking Laplace Transform,

qi(t) =

(Nih*Rih*fih)/Kei + (exp(Kgr*t)*(Kgr + di))/(Nc0*Ri*ai*fi*(Kei + Kgr)) - (exp(-di*t)*(- Nc0*Ni0*ai*Ri^2*fi^2 + Kgr + di))/(Nc0*Ri*ai*fi*(Kei - di)) + (exp(-Kei*t)*(Nc0*ai*qi0*Kei^3*Ri*fi + Nc0*ai*qi0*Kei^2*Kgr*Ri*fi - Nc0*Ni0*ai*Kei^2*Ri^2*fi^2 - Nc0*ai*qi0*Kei^2*Ri*di*fi - Nc0*Nih*Rih*ai*fih*Kei^2*Ri*fi + Kei*Kgr^2 - Nc0*Ni0*ai*Kei*Kgr*Ri^2*fi^2 - Nc0*ai*qi0*Kei*Kgr*Ri*di*fi - Nc0*Nih*Rih*ai*fih*Kei*Kgr*Ri*fi + 2*Kei*Kgr*di + Nc0*Nih*Rih*ai*fih*Kei*Ri*di*fi + Kei*di^2 + Nc0*Nih*Rih*ai*fih*Kgr*Ri*di*fi))/(Kei*Nc0*Ri*ai*fi*(Kei - di)*(Kei + Kgr))

The parameters:

fi_Ri = 10.925*10^(-6) ;

ai = 4.74 ;

Nc0 = 1 ;

Kgr = 5.78*10^(-3);

di = 11.31 ;

Ni0 = 1 ;

fih*Rih*Nih = 7.16*10^(4) ;

Kei = 2.14

C = 3.8;

I want to plot a graph for each parameter containing multiple curves for different values of the parameter with "t" while the other parameters are fixed.