Jia, J.F. and Yue, Hong (2012) Measurement set selection of parameter
estimation in biological system modelling - a case study of signal
transduction pathways. Journal- China University of Science and
Technology, 42 (10). 828-835,845. ISSN 0253-2778 ,
This version is available at
https://strathprints.strath.ac.uk/42724/
Strathprints is designed to allow users to access the research output of the University of Strathclyde. Unless otherwise explicitly stated on the manuscript, Copyright © and Moral Rights for the papers on this site are retained by the individual authors and/or other copyright owners. Please check the manuscript for details of any other licences that may have been applied. You may not engage in further distribution of the material for any profitmaking activities or any commercial gain. You may freely distribute both the url (https://strathprints.strath.ac.uk/) and the content of this paper for research or private study, educational, or not-for-profit purposes without prior permission or charge.
Any correspondence concerning this service should be sent to the Strathprints administrator: [email protected]
The Strathprints institutional repository (https://strathprints.strath.ac.uk) is a digital archive of University of Strathclyde research outputs. It has been developed to disseminate open access research outputs, expose data about those outputs, and enable the
!!"#$%&%% %&' &"%&()*&%') %&"+,%*' &"(*% -.%/(0.*1" %&()*&%2
33%&(%&. /% #&&2 -*4%,,%-(+,%*("#.%,$,/1/%5%5(6/
781 0&. -*1/%*&.$ 6,%*% 9
3
3
%&(%&.
781 0&.
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
/%, /&,,&!/%:!/&%",.&!%%/,/%&
#.%,$,/,
22 "2245,,&
3%3%&(%&. 7 0&. ?%, /&,,& (!%%/,/%&& #.%,$,/,
/"&. @ %,, "$(,.&%%&," &!%*=%$A3B3 &%(8&;,$(&%&" >*&.$()*&%
!"CDE
%&' ( ) * +, -./ 01$ 2 3 % & 4 5 6 7 8 9 : ;
<= >& 3?@ ABC DE FG H I J K $ % & . / L M D N O PQR 1S3 ?TU VW C XYZ [ ;\ >& ] ^_ # `a &8 %&
b c$d Z[e fgh ij k l m n 3 ? % & $ " o p q K r s ; t 6
',*VWj <= > &5? uv qK < f w x` y # V z { | } ) ~ R d Z [< 7 h-
!" CX Y<= >&$ %&
?"#%," %&%$,, ( /!: #.% &=9,, % /%5 ! ( & ,$,/, #.$ ?, /*%&, /%*/%% /", ";!"(#.%%&"*,$,/,&%& %"5 ,%# &9&=&!%%/, *;% ,( =** %& #,/%"(/ #,;%&,>* "$&%/, ( * /" (& , ,&,; !%%/,,!%$(* ,%& ,$,/ =** * /" !%%/, % ,/%" !/%$ & = "$ %(( * !(/%&(*/",%, !%%/ ,/%& , *%&.&. ( #!,,, /"&.G%9(< %&%;/%, /&,
("$&%/ ,!&, "%% %&" * /%, /& "%%,(& !"=*&,H */!: &% ( #.% ,$,/, =* *.* "/&,&% &&&% %&" !$ &"," "$&%/,&.&% !(/&.:!/&, #%&*"%%%:!&,;%&"/&, /&. ( , * ,$,/, >* !#/ ( ",.&&. :!/&,.&%((&/%, /&"%% , * , ( !% % /!%& !/% :!/&%",.& 1,%, #5%%( .=&.&,,!% %$&,$,/,#.$ ,& * . :!/&% ((, % < " & /"";!/&% , /*".,*%; #&";!"%&", ,,( $%!!"%#%" %&.(,$,/,&,"%",%&(&"
/!*&,;;=,&:!/&%",.&%&" %!!%&,(.&%,$,/,&+(,AB%&" #.%%&"#*/%,$,/,&+(,AB &" !" %&"&(/%& *"%% :!/&%",.&%& #&,""
(/ = %,!, &, * ",.& (&! ! #%&, $! ;%&" " %& (&! ,.&%, **,"/&=*&%&"=*% 9&" ( #,;%&, ,* " # %9& >* "&(%#$(% !%%/,/%& !#/ %& # /!;" * .* =",.&" :!/&,&.&%&*,!%! 1 =%, !(/"& *,&.* /,, %#, ( #,;%& ;%%#, ( !%%/ ,/%& %, %" /%, /& , ,& & % ! #%&,&/%, /&,,& =
&"&,"&&$*,, ("&(%#$ &*$ # %,*:!/&%,&,& #.$':%/! &%=%#&;&/& &/%$ &$ % ,/% & /# ( !& &&%&,%&#,/ %& ,$/%, "&% /$ (%,*& , *( /!%& "/& =** #,;%# = " !;" / &(/%&(!%%/,/%&C;&%, ( &9&=& !%%/, # ,/%" = %/!&;,.% G * #, /&/ / & /#(/%, /&;%%#,# ,"%&"
H *,(/%, /&;%%#,#*,& >*,(*!%!,.%&I"%,(=, & & * !/&%, & !%%/ ,/%& %&" /"#%," 1 , #($ &" "& & (,$ * .&% "$&%/ /", (/ %" /!; * /! %&% ((&$ %&" (%% ( * %&%$,, *& * /*" "/& * /&/ / /%, /&,,", ,," ,&.* /%:*$ %&"*!,(,%;%%#, % % %" #$ /"#%," 1 8,&. % ,/!("JKL'JK,.&%!%*=%$/"%,%& :%/! *%!!%#$(*",.&/*"
#.% ,$,/, /"&. , ,%" & &'&%$*& ,&,%&"", ,,&, %.;&&&
!
"
#
)&," % .&% "&%$ "((&% < %& /" ",# * "$&%/, ( #.%,$,/,
M ,*,%;=*&%&"&
%&" * & /# ( ,% ;%%#, 1%* /!&&( ,"&"%, =**&/%$ ,%&",( / &&%&,&#*/% ,$,/ /", M ,* !%%/; =* * & /# ( !%%/, >* /!&&,( /,$( 9&%& %, N ,% /& &&&%( &&( ,%,%&,& =**,(&";"(/* &"$&.#*/%/*%&,/,>*; ,&" "!,&*:!/&%",.&
!%%/, M ,* /%, /& ! ; =* O #&. * & /# ( /%, /& ;%%#, %&" N * /%, /& ( && (&. * * ( #,;%#, >* ,.&% , %,, /" # &"!&"&$%&""&%$",# " %""; I/%& C% ,,%& &,-%%/,/%& (,$,/ P%&##%&"#$*%, ,< %%.*/
%./&
Q
N
=* %&" %/%, /& ! %&"/" !"& ! ,!;$ , * /%, /& ;%%& /%: * , #,! &"%,,%/!&./ ,*% & /#(,%/!&. !&,&* "/&,& ( /
& R A S B RA S
B *%,&,;$/%:,",#"%,
T 4T T 4T >* ',* &(/%& /%: '? , !,&" %, % ( && ( % ,&,;$
/%:
'?
Q
8&"*%,, /!&(%"";IU/%& C% ,,%&&,& /%, /& %& 1 !#/ %&#=&%,%.&%!/I%&!#/ %"
%./%:
'?
,*",.&,!%(*:!/&%",.& ; N &"%, * ="$ ," %!*%#%:!/&%",.&%*%% &/%$ ,%%( &&, ( '? , * %, !/% /%:/I&. % '? !/%
/%:/,&. " '? 1!/% /&/I&.
'? 0%N%&""N%
%%&""/&%&(%/%: N,*
/%:/ / .&;% (% /%:>*,% %%"*,I%&",*%!(*&("& *$!!,"(,/%"!%%/, %&" = .;,.*$"((&:!/&%",.&, , =*&*,&."((&%>*",.& ,&. %&$(**% &, #%&;: !/I%& !#/ =*& * '? , %& %!!!%( && (* :!/&% ",.& !%%/,-#/ ,&.&%%&
-*%"!#/ %&"*/! %&%,(* !/I%&!#/"!&",&*/!:$( */", 4"$&%/,
$
$%! &
'%,$,/&%&&.9&=&%&" &9&=& !%%/, * !%%/ ; %& # ,!%%" & = ,, M ( 9&=& !%%/, %&" M ( &9&=& !%%/, =* V R 0,%,&%#%,, /*% */",&%&!%%/, %,="$%!!" #*/% ,$,/, %9&. 9& % ((&,%,!%%/,",#*&";" % %&,& % /" 8&" *, %,, /!&
.* =* * ,!%%& (* 9&=& %&" &9&=&/,& /" %& #( * =&%,(=,(,/!$ ,/"
=* NM %&" NM %&&&%
( &&, %,,%" =* 9&=& %&" &9&=& !%%/, ' % #*/% ,$,/ * &&&%( && N(&&%&,#*&% %&" &&&% /, =* ,! ,!, &&%&, ,%;%%#,E*&%,$,/ *%,%%.& /#(%&, %"&.%*.* "/&,&& /"!%%/, *,!%%&( * &% ,%,/, (/ * &&&% ,%,/, = "/!, * /"& , #. !,=*%" ",I&%*. !>*, =%.$/!;* ((&$ ( & /% % %&,*%(&&;;&.%&!%& ( /%:( &&,'=&.*,"% /"
,( *(/ %"#
=* M ,% !%%/ /%: N
. !,*&&&% ,%,( &&,& N
M
!""# $%
&
'
(
" " # ( # ) " # * + ,
- *
&
.
.
/0
&& /0 # "" ',#
.
" ," " ( " " " , /0 , "1
,
.
//( // %
.
/)+
, " ' 2 ,#
3 4 5" #( , 2
2
" " "" "# # "# " # 6 " " #,
&
' ## /7 ) " " "" , ( " " "
"
9
9
: ; <
< =><<
?
/ @0/A
( 2B
9 C # "
??
/8
#, ( D (
$% "
B C /E
&
?
/ @0
(" " F G%6H
, /!
&
?
@
?
/ @0I #,( " # "# # G%6 G% #
'(J'K
&
!& "
(,"# " LKFFLK# # (" ("M/ " ND O P'
N O ( ("M) Q
(G "/Q$%
#$!&
LKR SS FLK FLK LKRFFLK LKR SSLKR LKRFFLK
SSLKRFFLK LKR
#&
A0 A0 0
!DE !DE 0 A0 *)8DE 00/) !DE 0** ///
/))/ 00/!- 00TE
!DE /AE 0 E8 00TE 000T) 0008- 0)88- 0)88)
' # "## && && && &&
&& "# #
"# 2B& & & & C
#(# -" 2E 2/* 2! 2B &&
& & & C("1 $%
" E
/0"# E
2B/M))/&0M**&0M0/!-& 0M)88-& 0M0/-C
" 2
0M/ SS' U VD/W NO( "0A!0E
"
" " # ,(D # "
#
B& & & & & & & & & C
($%E "/0 "
"
X " #
&%& &
LKFFLK # , -'# , /) "# " 2E G )M) 2 2E, 2 E
"E "# ( E " " #( F
, B& & & & C
"
( # ,
" YA"" B& & CZ
[E"" B& & &
& CZ
\T"" B& & &
& & & CZ
]E""" B& &
& & C
A , " "" " #
,""" " " " (F " B0M0/ /0 C #
F ## "( ("MA ' " " # E T
" A "" E F ""
#&"
Y //-/ 0*EE 00/!) 0)A!/ 00/T8 [ /)0* 0*T- 00/!! 0)8/* 0 0/T-\ /)0* 0*T- 00/!! 0)8)- 0 0/T-] //E- 0*A! 00/E* 0)A/! 00/T0
^ " ^FP # A , *EW M/M8 N_O
( 1)%
!&'&
&'&
" M/M8 ""*EW
""X , "" *EW # #
&'&
(&'&
" M/ M8( " "" " # " "^" # $ ` # ("# ("MA
X
"" K#
ME"# E "" E E F"""E
T
)&'&&
( "
(
&
'
&
" " " # "" " , # F" $% ," " #( "" " "#" " ##" ", " ' " " " "# , # X , , ""#
#
*&+ &X %J(# %a
,
,&
B/Cb $^ '# K
G# B C^"H^" c#
6)000
B)C' '^% ' (" P$
, % G'G B C $,
c#6)00T
BAC#%^% '#,
BCEd HeX#)00/
B8CK,6 aeGaX UG
,H % %#
BC)e#HX#)00E
BEC^ S b K# ,
H ' BeCG G/**E/0 AH
)TAFA08
B!C6V J$,
" BeC '
)00-88)HA0AFA)E
BTCUGF"
,HG
BeC^ G)00-!A/*H
8-8!F8-T)
B-CSV^(eG#"#H,
BeCKGe)00*)T!8H*)AF*8)
B*CdaK aG##
",
##BeCe^
S)00-80//HTA0FT8/
B/0Ca K da , K#
" ,
"##
BeCe P"
^)0/0)8
!H/0E*F/0T-B//CK#Gb"J^, $VBC
^"H^"c#6)008
B/)C#6e ' '6P"
" , B^Cff6
6G# 6G^"
cG')00!HA!AFAT0
B/AC6 %F#
FLK SS BeC P
^K#)00T-/H8*F!)
B/8Ca'J 'G J(
LKFFLK H(
BeCG)00))*-H/)8/F
/)8E
B/EC % " ' ^
$FLK#
,BeCG)008
A0!HT08FT0-B/!CJ ( 6V 6 K ' P
FLK# BeC
e(K#)008))-)H/*EF)/E
B/TC'Ja^'% 6
#FLKF
BeCG)00*A)8E*)8H
)8)F)8!
B/-CedGdaK
"# "
# # B^Cff6 ' ^
^d cG')00TH)T0-F)T/A
*