Storing output of function file in workspace
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I am attemtping to fit a system of differntial equations to empirical data in the file below. In doing this however, the workspace does not store any variables used throughout the function. I am seeking, in the code below, to have the variable Cfit stored in the workspace for later usage. Thank you in advance.
function ParameterEstimates
function C=kinetics(theta,t)
c0=[0;0;1;18632080.08];
[T,Cv]=ode15s(@DifEq,t,c0);
function dC=DifEq(t,c)
dcdt=zeros(4,1);
dcdt(1)= 20.*c(3)-0.33.*c(1);
dcdt(2)= 20.*c(3)-theta(1).*c(2)-theta(2).*c(4).*c(2);
dcdt(3)= 0.02.*c(1)+0.02.*c(2)-40.*c(3);
dcdt(4)= theta(3).*c(4)-0.01.*c(4);
dC=dcdt;
end
C=Cv;
end
t = [
0.3,
0.4,
0.5,
0.6,
0.7,
0.8,
0.9,
1,
1.1,
1.2,
1.3,
1.4,
1.5,
1.6,
1.7,
1.8,
1.9,
2,
2.1,
2.2,
2.3,
2.4,
2.5,
2.6,
2.7,
2.8,
2.9,
3,
3.1,
3.2,
3.3,
3.4,
3.5,
3.6,
3.7,
3.8,
3.9,
4,
4.1,
4.2,
4.3,
4.4,
4.5,
4.6,
4.7,
4.8,
4.9,
5,
5.1,
5.2,
5.3,
5.4,
5.5,
5.6,
5.7,
5.8,
5.9,
6];
Liver = [1348.29506832772;2005.14924465480;3254.48028488375;5124.72602075486;7829.13399421537;12328.2869399683;18834.1405923453;31035.1405834789;37215.9680323785;43957.3958719222;51919.9890262101;63209.6174575039;75798.1777562693;89528.5191319988;107358.640668647;130703.005426235;154378.995580650;185124.463958724;235847.504315023;319220.389375715;406684.943474129;526015.488352822;680360.307874421;907037.705438451;1173183.04804904;1517421.43993357;1962667.15198536;2500426.68428754;2738116.52311521;2953362.53283321;3137679.85208163;3333500.28045675;3595549.98787599;3878199.67831042;4120235.43661992;4377376.48920232;4721486.32323604;5092646.95512564;5410475.54007316;5748139.58785559;6200006.43137868;6687394.98234579;7104750.69204894;7548153.26643603;8141520.95463497;8781533.85537407;9329583.30669371;9911836.16785702;10530427.0286059;11358234.1390003;12251115.9996602;13015699.7017134;13828000.5135698;14915033.1171122;16087518.4135442;17091529.3055869;18158199.8644633;19512934.2423026]
Spleen = [5296.69267490515;10227.3087507503;19289.1179170183;37685.2809190182;73625.9897448358;138861.593923331;261898.581983822;493951.316193815;632183.081414251;762935.125052513;953763.591782546;1151026.92014362;1389089.47590313;1676389.61586326;2023110.96075868;2499597.23736815;3016579.51143867;3640487.28042792;3555935.91071807;3275173.79878704;3052232.23024447;2844466.32094523;2682173.17053339;2499597.23736815;2302239.29364786;2170883.31625475;2023110.96075868;1885397.49183905;1599424.62057788;1325314.76389575;1124293.98711175;953763.591782546;771952.194224899;654864.213353809;555535.875329819;460327.975433029;381436.833112652;323581.348079842;268125.882529280;227457.148844088;188475.476517165;158020.308745250;132486.296784471;112391.071847443;95343.8456474215;77168.9037907287;65464.0971997401;55534.6494722643;46017.1049869811;38130.6802376093;32347.1040114341;26803.4479174991;22737.9609345979;18841.1225760795;15612.1255088756;13244.1132580966;11235.2758049230;9201.02479406369]
Blood = [0;0;0;0;0;0;0;0;0;0;52.2014133300000;101.212603400000;100.332610600000;158.349065400000;168.029595700000;211.000025000000;236.931893500000;262.698760300000;305.810229500000;315.198283900000;373.497283200000;372.632137200000;421.480608400000;451.089518400000;473.650283900000;519.348867100000;522.308799600000;583.994896000000;583.601187900000;730.737827100000;1243.55573200000;1759.05491500000;2273.82061800000;2788.50042700000;3302.89718600000;3816.87852900000;4330.43718800000;4855.66067000000;5361.42520000000;5872.68671900000;6390.09304900000;6906.84082300000;7417.25482000000;7946.45088800000;8445.36977700000;8986.19744300000;9478.10745500000;10020.6616800000;10516.9369500000;11049.6286300000;11557.1411400000;12076.6875300000;12593.0145500000;13108.4890300000;13622.8341400000;14136.5140900000;14649.9922200000;15163.7253500000]
Tcell = [18632080.0800000;18632080.0800000;18456466.6800000;18456466.6800000;18456466.6800000;18456466.6800000;18456466.6800000;18456466.6800000;18368660;18280853.2800000;18280853.2800000;18280853.2800000;18280853.2800000;18280853.2800000;18105239.8800000;18105239.8800000;18105239.8800000;18193046.5800000;19246726.9900000;20124794;21178474.4100000;22319961.5100000;23110221.8200000;24251708.9300000;25393196.0400000;26183456.3500000;27324943.4500000;28115203.7600000;29256690.8700000;30310371.2800000;31188438.2900000;32242118.6900000;33120185.7000000;34173866.1100000;35315353.2200000;36105613.5300000;37247100.6400000;38388587.7400000;39178848.0500000;40320335.1600000;41110595.4700000;42252082.5800000;43305762.9800000;44183829.9900000;45237510.4000000;46115577.4100000;47169257.8200000;48398551.6300000;49188811.9300000;50330299.0400000;51383979.4500000;52262046.4600000;53315726.8700000;54193793.8700000;55247474.2800000;56388961.3900000;57179221.7000000;58320708.8100000]
c = [Liver, Spleen, Blood, Tcell];
theta0=[1;1;1];
[theta,Rsdnrm,Rsd,ExFlg,OptmInfo,Lmda,Jmat]=lsqcurvefit(@kinetics,theta0,t,c);
fprintf(1,'\tRate Constants:\n')
for k1 = 1:length(theta)
fprintf(1, '\t\tTheta(%d) = %8.5f\n', k1, theta(k1))
end
tv = linspace(min(t), max(t));
Cfit = kinetics(theta, tv);
figure(1)
plot(t, c, '+')
hold on
hlp = plot(tv, Cfit);
hold off
grid
xlabel('Time')
ylabel('Concentration')
legend(hlp, 'Liver(t)', 'Spleen(t)', 'Blood(t)', 'Tcell(t)', 'Location','N')
end
0 个评论
采纳的回答
Voss
2022-6-27
Have the ParameterEstimates function return whatever outputs you need. In this case, I made it return Cfit.
Then assign the output(s) to variable(s) when you call ParameterEstimates.
% Assign the return value from ParameterEstimates to the variable iCfit:
% (If this function call happens in the base workspace (e.g., by calling
% from the command line), then iCfit is a variable in the base workspace
% after the function returns. In general, iCfit is a variable in whatever
% workspace ParameterEstimates is called from.)
iCfit = ParameterEstimates()
function Cfit = ParameterEstimates % define ParameterEstimates to return Cfit
function C=kinetics(theta,t)
c0=[0;0;1;18632080.08];
[T,Cv]=ode15s(@DifEq,t,c0);
function dC=DifEq(t,c)
dcdt=zeros(4,1);
dcdt(1)= 20.*c(3)-0.33.*c(1);
dcdt(2)= 20.*c(3)-theta(1).*c(2)-theta(2).*c(4).*c(2);
dcdt(3)= 0.02.*c(1)+0.02.*c(2)-40.*c(3);
dcdt(4)= theta(3).*c(4)-0.01.*c(4);
dC=dcdt;
end
C=Cv;
end
t = [
0.3,
0.4,
0.5,
0.6,
0.7,
0.8,
0.9,
1,
1.1,
1.2,
1.3,
1.4,
1.5,
1.6,
1.7,
1.8,
1.9,
2,
2.1,
2.2,
2.3,
2.4,
2.5,
2.6,
2.7,
2.8,
2.9,
3,
3.1,
3.2,
3.3,
3.4,
3.5,
3.6,
3.7,
3.8,
3.9,
4,
4.1,
4.2,
4.3,
4.4,
4.5,
4.6,
4.7,
4.8,
4.9,
5,
5.1,
5.2,
5.3,
5.4,
5.5,
5.6,
5.7,
5.8,
5.9,
6];
Liver = [1348.29506832772;2005.14924465480;3254.48028488375;5124.72602075486;7829.13399421537;12328.2869399683;18834.1405923453;31035.1405834789;37215.9680323785;43957.3958719222;51919.9890262101;63209.6174575039;75798.1777562693;89528.5191319988;107358.640668647;130703.005426235;154378.995580650;185124.463958724;235847.504315023;319220.389375715;406684.943474129;526015.488352822;680360.307874421;907037.705438451;1173183.04804904;1517421.43993357;1962667.15198536;2500426.68428754;2738116.52311521;2953362.53283321;3137679.85208163;3333500.28045675;3595549.98787599;3878199.67831042;4120235.43661992;4377376.48920232;4721486.32323604;5092646.95512564;5410475.54007316;5748139.58785559;6200006.43137868;6687394.98234579;7104750.69204894;7548153.26643603;8141520.95463497;8781533.85537407;9329583.30669371;9911836.16785702;10530427.0286059;11358234.1390003;12251115.9996602;13015699.7017134;13828000.5135698;14915033.1171122;16087518.4135442;17091529.3055869;18158199.8644633;19512934.2423026];
Spleen = [5296.69267490515;10227.3087507503;19289.1179170183;37685.2809190182;73625.9897448358;138861.593923331;261898.581983822;493951.316193815;632183.081414251;762935.125052513;953763.591782546;1151026.92014362;1389089.47590313;1676389.61586326;2023110.96075868;2499597.23736815;3016579.51143867;3640487.28042792;3555935.91071807;3275173.79878704;3052232.23024447;2844466.32094523;2682173.17053339;2499597.23736815;2302239.29364786;2170883.31625475;2023110.96075868;1885397.49183905;1599424.62057788;1325314.76389575;1124293.98711175;953763.591782546;771952.194224899;654864.213353809;555535.875329819;460327.975433029;381436.833112652;323581.348079842;268125.882529280;227457.148844088;188475.476517165;158020.308745250;132486.296784471;112391.071847443;95343.8456474215;77168.9037907287;65464.0971997401;55534.6494722643;46017.1049869811;38130.6802376093;32347.1040114341;26803.4479174991;22737.9609345979;18841.1225760795;15612.1255088756;13244.1132580966;11235.2758049230;9201.02479406369];
Blood = [0;0;0;0;0;0;0;0;0;0;52.2014133300000;101.212603400000;100.332610600000;158.349065400000;168.029595700000;211.000025000000;236.931893500000;262.698760300000;305.810229500000;315.198283900000;373.497283200000;372.632137200000;421.480608400000;451.089518400000;473.650283900000;519.348867100000;522.308799600000;583.994896000000;583.601187900000;730.737827100000;1243.55573200000;1759.05491500000;2273.82061800000;2788.50042700000;3302.89718600000;3816.87852900000;4330.43718800000;4855.66067000000;5361.42520000000;5872.68671900000;6390.09304900000;6906.84082300000;7417.25482000000;7946.45088800000;8445.36977700000;8986.19744300000;9478.10745500000;10020.6616800000;10516.9369500000;11049.6286300000;11557.1411400000;12076.6875300000;12593.0145500000;13108.4890300000;13622.8341400000;14136.5140900000;14649.9922200000;15163.7253500000];
Tcell = [18632080.0800000;18632080.0800000;18456466.6800000;18456466.6800000;18456466.6800000;18456466.6800000;18456466.6800000;18456466.6800000;18368660;18280853.2800000;18280853.2800000;18280853.2800000;18280853.2800000;18280853.2800000;18105239.8800000;18105239.8800000;18105239.8800000;18193046.5800000;19246726.9900000;20124794;21178474.4100000;22319961.5100000;23110221.8200000;24251708.9300000;25393196.0400000;26183456.3500000;27324943.4500000;28115203.7600000;29256690.8700000;30310371.2800000;31188438.2900000;32242118.6900000;33120185.7000000;34173866.1100000;35315353.2200000;36105613.5300000;37247100.6400000;38388587.7400000;39178848.0500000;40320335.1600000;41110595.4700000;42252082.5800000;43305762.9800000;44183829.9900000;45237510.4000000;46115577.4100000;47169257.8200000;48398551.6300000;49188811.9300000;50330299.0400000;51383979.4500000;52262046.4600000;53315726.8700000;54193793.8700000;55247474.2800000;56388961.3900000;57179221.7000000;58320708.8100000];
c = [Liver, Spleen, Blood, Tcell];
theta0=[1;1;1];
[theta,Rsdnrm,Rsd,ExFlg,OptmInfo,Lmda,Jmat]=lsqcurvefit(@kinetics,theta0,t,c);
fprintf(1,'\tRate Constants:\n')
for k1 = 1:length(theta)
fprintf(1, '\t\tTheta(%d) = %8.5f\n', k1, theta(k1))
end
tv = linspace(min(t), max(t));
Cfit = kinetics(theta, tv);
figure(1)
plot(t, c, '+')
hold on
hlp = plot(tv, Cfit);
hold off
grid
xlabel('Time')
ylabel('Concentration')
legend(hlp, 'Liver(t)', 'Spleen(t)', 'Blood(t)', 'Tcell(t)', 'Location','N')
end
0 个评论
更多回答(2 个)
Jan
2022-6-27
Nested nested functions - brrr.
What about: t = 0.3:0.1:6; ?
You store the variable Cfit in the workspace of the function ParameterEstimates . There it is available. In which workspace do you search this variable? In the "base" workspace, which is the workspace of the conmmand window? Then:
% In the command window:
Cfit = ParameterEstimates
% In the file ParameterEstimates.m :
function Cfit = ParameterEstimates
...
end
0 个评论
Yatharth
2022-6-27
Hey since your cfit variable is wrapped inside the ParameterEstimates function it cannot be saved to the workspace unless you specify it as the return variable ... you can simply define your ParameterEstimates function like mentioned below and your cfit variable will show up in workspace
function Cfit = ParameterEstimates
function C = kinetics(theta,t)
c0=[0;0;1;18632080.08];
[T,Cv]=ode15s(@DifEq,t,c0);
.
.
.
end
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