- 在线时间
- 22 小时
- 最后登录
- 2016-10-27
- 注册时间
- 2014-1-1
- 听众数
- 9
- 收听数
- 0
- 能力
- 0 分
- 体力
- 152 点
- 威望
- 0 点
- 阅读权限
- 20
- 积分
- 88
- 相册
- 0
- 日志
- 0
- 记录
- 0
- 帖子
- 88
- 主题
- 5
- 精华
- 0
- 分享
- 0
- 好友
- 9
升级   87.37% TA的每日心情 | 无聊 2015-10-10 18:19 |
|---|
签到天数: 24 天 [LV.4]偶尔看看III
 |
10体力
function parafit9 \: Y1 p0 k; G! K
% k1->k-1,k2->k1,k3->k2,k4->k3,k5->k46 G9 q, t7 O( b* k$ }$ L
% k6->k6 k7->k7
! `" S; J) X1 J5 k! @, r+ z. _% dGlcdt = k-1*C(Fru)-(k1+k2)*C(Glc);5 O. e) m' o: z" m
% dFrudt = k1*C(Glc)-(k-1+k3+k4)C(Fru);+ V& @3 T" O; K, x( T
% dFadt = k(2)*C(Glc)+k4*C(Fru)+(k6+k7)*C(Hmf);! O! G8 f, P: Y% ~' q. X7 h& X
% dLadt = k(7)*C(Hmf);
2 f# s5 Q# V5 U! d% q Z2 Y4 q%dHmfdt = k(3)*C(Fru)-(k6+k7)*C(Hmf);4 P) _5 ]' y2 k8 L, \6 i
clear all
2 y9 ^& x4 i' u; M1 }. n/ `clc+ F9 z' h$ `! c% u
format long, t1 K" }9 @- _ i& Z
% t/min Glc Fru Fa La HMF/ mol/L
# ~1 Z; @" C& } Kinetics=[0 0.25 0 0 0 03 F% C) A. h- ]
15 0.2319 0.01257 0.0048 0 2.50E-04; [7 t& s4 g& ?( o: t
30 0.19345 0.027 0.00868 0 7.00E-04+ {+ r' D% k$ p1 `; T
45 0.15105 0.06975 0.02473 0 0.00337 }$ x. B7 Y7 q
60 0.13763 0.07397 0.02615 0 0.00428$ y* D `3 f) ^' f1 g, i, q- ~! e% l
90 0.08115 0.07877 0.07485 0 0.01405
/ Z9 S8 o6 |* E 120 0.0656 0.07397 0.07885 0.00573 0.02143
1 P/ I- M; r( Z, B8 G5 { 180 0.04488 0.0682 0.07135 0.0091 0.03623
: |6 E/ z( i$ O' i0 C- ? 240 0.03653 0.06488 0.08945 0.01828 0.05452
( T, G$ D: q( f' ] _7 {( z: Z 300 0.02738 0.05448 0.09098 0.0227 0.0597
# q) K% u# x& f# ]9 }' @ 360 0.01855 0.04125 0.09363 0.0239 0.06495];# ^: c0 b# I; R0 j9 N
k0 = [0.0000000005 0.0000000005 0.0000000005 0.00000000005 0.00005 0.0134 0.00564 0.00001 0.00001 0.00001]; % 参数初值# f( c3 w/ c6 [! X4 S# |
lb = [0 0 0 0 0 0 0 0 0 0]; % 参数下限
: s. ]+ }6 Z# F7 I6 z) W. T6 L* Wub = [1 1 1 1 1 1 1 1 1 1]; % 参数上限
' K' L7 W) g& }6 y) C% hx0 = [0.25 0 0 0 0];7 a* }+ h! M1 Y. S0 y$ p- ]
yexp = Kinetics; % yexp: 实验数据[x1 x4 x5 x6]
5 f2 L5 w) Q$ k' O+ d: c% warning off7 O: W1 @4 Y! k
% 使用函数 ()进行参数估计2 G0 t4 c8 d$ g) p' k Z
[k,fval,flag] = fmincon(@ObjFunc7Fmincon,k0,[],[],[],[],lb,ub,[],[],x0,yexp);
" H$ b: V$ F# N9 K& w2 mfprintf('\n使用函数fmincon()估计得到的参数值为:\n')( w" q. e$ b$ a0 | y
fprintf('\tk1 = %.11f\n',k(1))+ s- n! i* e: s+ ?# [
fprintf('\tk2 = %.11f\n',k(2)) t5 l+ F5 @6 d4 \! b
fprintf('\tk3 = %.11f\n',k(3))
l7 H/ B5 Y0 P$ X/ ?6 V4 gfprintf('\tk4 = %.11f\n',k(4))) `* S$ A$ v% T; X( @
fprintf('\tk5 = %.11f\n',k(5))+ U1 {9 p1 D; K3 \: T
fprintf('\tk6 = %.11f\n',k(6))" r5 o" w, ^& [
fprintf('\tk7 = %.11f\n',k(7))
0 w) X4 g4 n5 G9 Y% u! mfprintf('\tk8 = %.11f\n',k(8)); @. D3 T& j% E
fprintf('\tk9 = %.11f\n',k(9))" N5 P) s+ D/ a4 \
fprintf('\tk10 = %.11f\n',k(10))$ T" N/ n% O+ Y. \5 Q
fprintf(' The sum of the squares is: %.1e\n\n',fval)
0 g& n6 T0 ] p3 e" O9 B' O$ G3 {k_fm= k;
# u4 C1 m8 U$ L9 n: r) g/ k% warning off
- |8 a& i2 I6 D: i% 使用函数lsqnonlin()进行参数估计
( F* F8 p1 R W4 {[k,resnorm,residual,exitflag,output,lambda,jacobian] = ...3 l) {! f C5 F" K2 k
lsqnonlin(@ObjFunc7LNL,k0,lb,ub,[],x0,yexp); % g& n& F' ?# | M& a) L$ H+ R9 @
ci = nlparci(k,residual,jacobian);$ A6 T1 T/ q" S
fprintf('\n\n使用函数lsqnonlin()估计得到的参数值为:\n')
5 _6 R) o0 F) U0 n; L2 Vfprintf('\tk1 = %.11f\n',k(1))
`- _8 D7 v- S# Afprintf('\tk2 = %.11f\n',k(2))6 [# ?$ ~# b* Z% D& }
fprintf('\tk3 = %.11f\n',k(3)). |6 Y3 Z4 J% o% v
fprintf('\tk4 = %.11f\n',k(4))& Z0 ]3 N! {7 t* ~; l4 K
fprintf('\tk5 = %.11f\n',k(5))
; I$ K7 w5 e. ~1 N$ sfprintf('\tk6 = %.11f\n',k(6))! D& y( w; o; s) g6 }- _4 Q# `
fprintf('\tk7 = %.11f\n',k(7))" N4 ]9 D! B2 H* ]! B1 o
fprintf('\tk8 = %.11f\n',k(8))/ o2 Y+ U7 Y; h
fprintf('\tk9 = %.11f\n',k(9))/ _6 h+ Y6 N6 q8 P
fprintf('\tk10 = %.11f\n',k(10))# | h+ w E1 m2 n" h6 N
fprintf(' The sum of the squares is: %.1e\n\n',resnorm)
/ q6 U- c. F5 n: e+ {0 b0 c lk_ls = k;
- J. ^! Z& s# B! h K& ioutput; s; v7 Z- j+ d0 v# X9 \
warning off
1 Q- N9 t4 Y) d$ r% 以函数fmincon()估计得到的结果为初值,使用函数lsqnonlin()进行参数估计( b/ r/ R+ s& v0 W- }( o9 a
k0 = k_fm;
. e0 `! e3 ]. U8 ~* S+ E[k,resnorm,residual,exitflag,output,lambda,jacobian] = ...9 l, B4 ?' A- D
lsqnonlin(@ObjFunc7LNL,k0,lb,ub,[],x0,yexp);
M1 O1 l3 J% D0 X, d6 k* j# fci = nlparci(k,residual,jacobian);% J/ m: O: J6 y8 U) I+ n! T+ ?
fprintf('\n\n以fmincon()的结果为初值,使用函数lsqnonlin()估计得到的参数值为:\n')
' o7 k- z5 B1 j0 \% f+ ~6 E, Y* Q3 Ifprintf('\tk1 = %.11f\n',k(1)), ]* k; s% c" r
fprintf('\tk2 = %.11f\n',k(2))
# r5 O7 J- L, [; R4 X5 Ifprintf('\tk3 = %.11f\n',k(3))
& l5 D/ u' l% \& M+ `1 ]9 ~fprintf('\tk4 = %.11f\n',k(4)), i x9 ^: x8 ^7 j( L
fprintf('\tk5 = %.11f\n',k(5))
9 d- `& }. t+ G7 ~9 G/ Z% Ifprintf('\tk6 = %.11f\n',k(6))
6 Y7 |; G8 W" d0 K9 yfprintf('\tk7 = %.11f\n',k(7))) l1 D* \! i6 v# {
fprintf('\tk8 = %.11f\n',k(8))
. B- o. a; v) d" J% Q3 Mfprintf('\tk9 = %.11f\n',k(9))" ^* I8 m. d0 g, w' ^
fprintf('\tk10 = %.11f\n',k(10))
% e. | o) K+ e3 A) S# p6 R+ I: yfprintf(' The sum of the squares is: %.1e\n\n',resnorm)' P" g1 w) h% e- B+ u! E& Y2 I
k_fmls = k;1 S% V6 c/ y2 P3 P
output" D7 C" E$ e g% A7 V0 }% j1 B! P5 I' P
tspan = [0 15 30 45 60 90 120 180 240 300 360];
5 m" j n2 r) Z$ f) R0 ?7 t[t x] = ode45(@KineticEqs,tspan,x0,[],k_fmls);
$ v/ x6 c7 U' g/ P0 [% t* Lfigure;
- u+ n0 y4 w; }8 u0 |) Z |, q3 Fplot(t,x(:,1),t,yexp(:,2),'*');legend('Glc-pr','Glc-real')
( J* D6 ^) n. m8 U2 tfigure;plot(t,x(:,2:5));8 S, U N* }. W9 H
p=x(:,1:5)* a0 E$ y" |, T
hold on
d1 N6 g* E7 [! x- L5 u. oplot(t,yexp(:,3:6),'o');legend('Fru-pr','Fa-pr','La-pr','HMF-pr','Fru-real','Fa-real','La-real','HMF-real')
: H) W% e( p7 o- x. f7 p! \! l4 v6 ]" m0 I
- i5 @( p# ~) y% E' l& p
: Y, _& U' R) F6 ^function f = ObjFunc7LNL(k,x0,yexp)
# X2 c7 z" }# a: ztspan = [0 15 30 45 60 90 120 180 240 300 360];* o" q1 n5 q: q- q# X1 {2 m2 q
[t, x] = ode45(@KineticEqs,tspan,x0,[],k);
8 _9 n. R4 Q6 a0 m. a3 E' |y(:,2) = x(:,1);
2 o4 s7 R& [8 }8 h, Xy(:,3:6) = x(:,2:5);6 V9 V9 a9 l# F3 c# l
f1 = y(:,2) - yexp(:,2);
8 o; F! N1 }% d/ ]f2 = y(:,3) - yexp(:,3);! C' u1 I, \- D2 X* Z
f3 = y(:,4) - yexp(:,4);6 F' Y: e- a# R9 F& {
f4 = y(:,5) - yexp(:,5);9 N4 P$ i M: n) y+ \
f5 = y(:,6) - yexp(:,6);" a3 r* h& J! s: n. o
f = [f1; f2; f3; f4; f5];
3 |$ G# ^# a; x9 P. z% N7 ?
4 Z$ A( F- C! ?$ B' V* p! V' `8 R0 |: ]& ?
$ z5 I% b: ^( e2 k4 e; _- \! X: vfunction f = ObjFunc7Fmincon(k,x0,yexp)
% M: M4 S+ \- S2 p) n* p6 Q( Ttspan = [0 15 30 45 60 90 120 180 240 300 360]; J+ K' T& T7 i9 v, z* {: e
[t x] = ode45(@KineticEqs,tspan,x0,[],k); ( |" J5 s$ B1 Y& B
y(:,2) = x(:,1);# Z6 v% s8 o1 H K
y(:,3:6) = x(:,2:5);
. ]9 n: s% z! d- x- o) Jf = sum((y(:,2)-yexp(:,2)).^2) + sum((y(:,3)-yexp(:,3)).^2) ...
8 X/ `( ?0 q0 J5 s7 H9 i + sum((y(:,4)-yexp(:,4)).^2) + sum((y(:,5)-yexp(:,5)).^2) ...
. S; b2 K" O+ c/ M# a9 H6 U1 G + sum((y(:,6)-yexp(:,6)).^2) ;$ y' H* ]8 f0 f* @$ o0 ~
; l9 U% t3 y# Q2 A: E& G5 E6 b: P$ I, Y" h) r
. _3 Z& |: j+ g
* r9 P# a" c( |0 Ffunction dxdt = KineticEqs(t,x,k)- r7 X, I7 ]5 ^" B
dGldt = k(1)*x(2)-(k(2)+k(3)+k(8))*x(1);: g/ `8 N* I: e+ [) h
dFrdt = k(2)*x(1)-(k(1)+k(4)+k(5)+k(9))*x(2);1 F$ Y1 R& ], n- C( u% \4 \; b& U
dFadt = k(3)*x(1)+k(5)*x(2)+(k(6)+k(7))*x(5);$ z4 W5 R9 e& H) t1 N# k
dLadt = k(7)*x(5);
6 n7 h( U- n2 M, vdHmdt = k(4)*x(2)-(k(6)+k(7)+k(10))*x(5);/ C! x& k! K6 e) R# h
dxdt = [dGldt; dFrdt; dFadt; dLadt; dHmdt];
* I; Q" F( y9 j5 ?, k7 x4 a; h
1 ]. d- x8 a' B; m" `6 G. q( y. \+ m( S" ^$ t
|
zan
|