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How to determine steady state of X given code

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Justin Lee
Justin Lee el 12 de Ag. de 2021
Comentada: Justin Lee el 16 de Ag. de 2021
I have the code below, but I need to determine the Steady state of total SA reached, and need a graph
Question:
  1. The total SA concentration is approximated by adding SA1 and SA2, and division by 140 dL (for a normal person). When is a steady state of total SA reached? Support by a graph (extend the time if needed).
STARTTIME = 0;
STOPTIME = 24;
% initial values
SA1 = 0;
SA2 = 0;
ASA1 = 0;
ASA2 = 0;
y0 = [SA1; SA2; ASA1; ASA2];
% solve ode
[t,y] = ode45(@odefun,[STARTTIME STOPTIME],y0);
% Plot results
yyaxis left
plot(t,y(:,[1,3]))
ylabel("SA1,ASA1")
yyaxis right
plot(t,y(:,[2,4]))
ylabel("SA2,ASA2")
legend(["SA1","ASA1","SA2","ASA2"])
function ddt = odefun(t,y)
SA1 = y(1);
SA2 = y(2);
ASA1 = y(3);
ASA2 = y(4);
% Constants
Vnf = 1;
Cnf = SA1/Vnf;
Qnf = 1;
Vf = 1;
Cf = SA2/Vf;
Qf = 1;
Vb = 1;
Cb = ASA1/Vb;
Pf = 20;
Cfv = Cf/Pf;
Vl = 1;
Cl = ASA2/Vl;
Ql = 1;
vmax = 1;
Km = 1;
Pl = 2;
Clv = Cl/Pl;
Pb = 18;
% Benzene conc in inhaled air
Ci = 0.32;
% alveolar ventilation rate
Qp = 5.74;
% Flows
Jnf = Qnf*(Cb-Cnf);
Jf = Qf*(Cb-Cfv);
Jl = Ql*(Cb - Clv);
Jmetab = vmax*Cl/(Km + Cl);
% Replace squarepulse with " IF t>6h Jresp=0 "
if t<=6
Jresp = Qp*(Ci - (Cb/Pb));
else
Jresp = 0;
end
% Reservoirs Blood, Fat, NonFat and Liver
ddt(1,1) = Jnf;
ddt(2,1) = Jf;
ddt(3,1) = -Jnf - Jf - Jl + Jresp;
ddt(4,1) = Jl - Jmetab;
end
  2 comentarios
darova
darova el 15 de Ag. de 2021
The code is too long, can't handle
You didn't attach original formulas
Justin Lee
Justin Lee el 16 de Ag. de 2021
This is the original forumla. Berkeley Madonna Code converted to Matlab

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