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³õʼÊý¾ÝŨ¶ÈºÍʱ¼ä t=[0,10,30,50,70,90,110,130,150,160]; c=[0,0.23211,0.45906,0.68601,0.92328,1.21213,1.32561,1.34624,1.39782,1.398]; ΢·Ö·½³Ì£¬dc/dt=[4.41/96485-(4.41*k+L*4.41/96485)c]/(1+4.41*k*t) ÒªÇó£º 1.µÃµ½ÄâºÏ²ÎÊý£ºk ºÍL ÒÔ¼°Ïà¶ÔÆ«²î 2.µÃµ½ÄâºÏÇúÏߺÍÊý¾ÝµãµÄͼ 3.×îºÃ¸½ÉÏÔº³ÌÐò |
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±¾È˱àдµÄ³ÌÐòÈçϵ«ÊÇÎÞ·¨ÔËÐУ¬ÓÉÓÚÊÇÐÂÊÖ£¬Ï£Íû¸ßÊÖ°ïæµ÷ÊÔһϣº function PenicilliumEst clear all; t=[0,10,30,50,70,90,110,130,150,160]; y=[0,0.23211,0.45906,0.68601,0.92328,1.21213,1.32561,1.34624,1.39782,1.398]; y0=0; % Nonlinear least square estimate using lsqnonlin() beta0=[0.005 0.001]; lb=[0 0];ub=[inf inf]; [beta,resnorm,residual,exitflag,output,lambda,jacobian] = ... lsqnonlin(@Func,beta0,lb,ub,[],t,y); ci = nlparci(beta,residual,jacobian); % ======================================= function f = Func(beta,t,y,y0) % Define objective function tspan = [0 max(x)]; [tt yy] = ode45(@ModelEqs,tspan,y0,[],beta); yc= spline(tt,yy,x); f1=y-yc % ================================== function dydt = ModelEqs(t,y,beta) % Model equations dydt = [4.41/96485-(4.41*beta(1)+beta(2)*4.41/96485)*y]/(1+4.41*beta(1)*t) % result fprintf('\n Estimated Parameters by Lsqnonlin():\n') fprintf('\t k1 = %.4f ¡À %.4f\n',beta(1),ci(1,2)-beta(1)) fprintf('\t k2 = %.4f ¡À %.4f\n',beta(2),ci(2,2)-beta(2)) fprintf(' The sum of the residual squares is: %.1e\n\n',sum(residual.^2)) % plot of fit results tspan = [0 max(t)]; [tt yc] = ode45(@modeleqs,tspan,c0,[],beta); tc=linspace(0,max(t),200); yc = spline(tt,yc,tc); plot(t,c,'ro',tc,yca,'r-'); hold on xlabel('Time'); ylabel('Concentration'); hold off |
2Â¥2011-12-16 16:49:37
dbb627
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cenwanglai(½ð±Ò+5, ¼ÆËãÇ¿Ìû+1): лл¸øÓè°ïÖú~ 2011-12-20 09:07:46
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258190169(½ð±Ò+20): ¶àл´óÏÀ ÄãµÄQQÊǶàÉÙ¿ÉÒÔºÍÄãÁªÏµÒ»ÏÂÂï 2011-12-16 22:12:03
cenwanglai(½ð±Ò+5, ¼ÆËãÇ¿Ìû+1): лл¸øÓè°ïÖú~ 2011-12-20 09:07:46
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3Â¥2011-12-16 17:31:51
dingd
Ìú¸Ëľ³æ (Ö°Òµ×÷¼Ò)
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dbb627(½ð±Ò+1): ¸Ðл²ÎÓë 2011-12-17 11:40:34
dbb627(½ð±Ò+1): ¸Ðл²ÎÓë 2011-12-17 11:40:34
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4Â¥2011-12-17 09:52:26
sui2066
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5Â¥2011-12-17 19:37:49
|
Title "model"; Parameters k, L; Variable t,c; ODEFunction c'=(4.41/96485-(4.41*k+L*4.41/96485)*c)/(1+4.41*k*t); Data; 0 0.02063 600 0.23211 1800 0.45906 3000 0.68601 4200 0.92328 5400 1.21213 6600 1.32561 7800 1.34624 9000 1.39782 9600 1.398 µ«ÊÇûÓмÆËã³ö½á¹û£¬ÎÒµÄÑ¡ÔñµÄÓÅ»¯Ëã·¨ÊǵÚÒ»ÖÖ£¬ °æ±¾ÊÇ1.5£¬ÇëÎÊΪʲô |
6Â¥2011-12-19 21:45:05
dingd
Ìú¸Ëľ³æ (Ö°Òµ×÷¼Ò)
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7Â¥2011-12-19 22:12:17
8Â¥2011-12-20 09:27:31
dingd
Ìú¸Ëľ³æ (Ö°Òµ×÷¼Ò)
- ¼ÆËãÇ¿Ìû: 4
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- Ìû×Ó: 3410
- ÔÚÏß: 1223.7Сʱ
- ³æºÅ: 291104
- ×¢²á: 2006-10-28
9Â¥2011-12-20 14:10:09
dingd
Ìú¸Ëľ³æ (Ö°Òµ×÷¼Ò)
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- ½ð±Ò: 15037.3
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- Ìû×Ó: 3410
- ÔÚÏß: 1223.7Сʱ
- ³æºÅ: 291104
- ×¢²á: 2006-10-28
10Â¥2011-12-20 14:18:57













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