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Matematisk Model for Mavesækkens Tømning - Danmarks Tekniske ...

Matematisk Model for Mavesækkens Tømning - Danmarks Tekniske ...

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82 t = 0:1:400;<br />

83 Q = (1 + K*(t/tempt)).*exp(−(t/tempt)); % Amount of glucose in stomach [g]<br />

84<br />

85 % Plot of Goetze <strong>Model</strong> and data<br />

86 h3 = figure(3);<br />

87 plot(t,Q,'LineWidth',2)<br />

88 hold on<br />

89 plot(Time,Data,'.r','MarkerSize',20)<br />

90 xlabel('Time [min]','fontsize',14);<br />

91 ylabel('Relative amount of glucose in stomach','fontsize',14);<br />

92 legend('Goetze','Data')<br />

93 set(get(h3,'CurrentAxes'),'fontsize',14)<br />

94 axis([0 400 0 1])<br />

95 print('−depsc', '−tiff', ['goetze stomach fit'])<br />

96 print('−dpng', '−loose', ['goetze stomach fit'])<br />

1 function N = Cfun(x)<br />

2<br />

Listing B.2: Cfun.m<br />

3 load('eks cor.mat') % Time, STc99m<br />

4 Data = STc99m/max(STc99m);<br />

5<br />

6 kabs = 0.013;<br />

7 q0 = [1; 0; 0];<br />

8 [T,Q] = ode15s(@<strong>Model</strong>1,Time',q0,[],x(1),x(2),kabs);<br />

9<br />

10 qsto1 = Q(:,1); % Mass of glucose in stommach in solid phase [g]<br />

11 qsto2 = Q(:,2); % Mass of glucose in stommach in liquid phase [g]<br />

12 qsto = qsto1 + qsto2;<br />

13 Qsto = qsto/max(qsto);<br />

14<br />

15 N = norm(Qsto − Data);<br />

1 function N = Efun(x)<br />

2<br />

Listing B.3: Efun.m<br />

3 load('eks cor.mat') % Time, STc99m<br />

4 Data = STc99m/max(STc99m);<br />

5 N = norm(exp(−(x(1)*Time).ˆx(2)) − Data);<br />

1 function N = Gfun(x)<br />

2<br />

Listing B.4: Gfun.m<br />

3 load('eks cor.mat') % Time, STc99m<br />

4 Data = STc99m/max(STc99m);<br />

5 N = norm((1 + x(1)*Time/x(2)).*exp(−Time/x(2)) − Data);<br />

91

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