Towards new computational tools for predicting toxicity Linnaeus University Dissertations No 243/2016 T OWARDS NEW COMPUTATIONAL TOOLS FOR PREDICTING TOXICITY S WAPNIL C HAVAN LINNAEUS UNIVERSITY PRESS Towards new computational tools for predicting toxicity Doctoral dissertation, Department of Chemistry and Biomedical Sciences, Linnaeus University, Kalmar, Sweden, 2016 ISBN: 978-91-88357-04-5 Published by: Linnaeus University Press, 351 95 Växjö, Sweden Printed by: Elanders Sverige AB, 2016 Abstract Chavan, Swapnil (2016). Towards new computational tools for predicting toxicity, Linnaeus University Dissertation No 243/2016, ISBN: 978-91-88357-04-5. Written in English. The toxicological screening of the numerous chemicals that we are exposed to requires significant cost and the use of animals. Accordingly, more efficient methods for the evaluation of toxicity are required to reduce cost and the number of animals used. Computational strategies have the potential to reduce both the cost and the use of animal testing in toxicity screening. The ultimate goal of this thesis is to develop computational models for the prediction of toxicological endpoints that can serve as an alternative to animal testing. In Paper I, an attempt was made to construct a global quantitative structure-activity relationship (QSAR) model for the acute toxicity endpoint (LD50 values) using the Munro database that represents a broad chemical landscape. Such a model could be used for acute toxicity screening of chemicals of diverse structures. Paper II focuses on the use of acute toxicity data to support the prediction of chronic toxicity. The results of this study suggest that for related chemicals having acute toxicities within a similar range, their lowest observed effect levels (LOELs) can be used in read-across strategies to fill gaps in chronic toxicity data. In Paper III a k-nearest neighbor (kNN) classification model was developed to predict human ether-a-go-go related gene (hERG)-derived toxicity. The results suggest that the model has potential for use in identifying compounds with hERG-liabilities, e.g. in drug development. Keywords Acute toxicity, chronic toxicity, hERG, k-NN, LD50, LOEL, Munro database, QSAR, read-across, toxicity /9:D=G>GFL=FLK 'AKLG>HM:DA;9LAGFK <<ALAGF9DHM:DAK@=<OGJCGMLKA<=L@=K;GH=G>L@AKL@=KAK +GHMD9JK;A=F;=KMEE9JQ ::J=NA9LAGFK @9HL=J$FLJG<M;LAGF AGDG?A;9D9;LANALQL=KLAF? +@9JE9;=MLA;9D<JM?L=KLAF? FNAJGFE=FL9DLGPA;9FLL=KLAF? !GG<K9>=LQL=KLAF? 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AF 9FAE9DK AK <=H=F<=FL MHGF <AJ=;L LGPA;ALQ 9KK=KKE=FL AF O@GD= GJ?9FAKEK O@=J= L@= GJ?9FAKEK 9J= =PHGK=< LG L@= LGPA;9FLK G> AFL=J=KL 9F< G:K=JN=< >GJ 9FQ KA?F G> 9<N=JK= @=9DL@=>>=;LK /@=<MJ9LAGFG>L@==PHGKMJ=<=H=F<KMHGFL@=LQH=G>LGPA;ALQ :=AF? =P9EAF=< /@= KLM<Q <MJ9LAGF >GJ K@GJLL=JE 9;ML= =>>=;LK ;9F := @GMJK LG <9QK KM:;@JGFA; =>>=;LK >JGE >=O O==CK LG >=O EGFL@K 9F< ;@JGFA; =>>=;LK 9J= MKM9DDQ KLM<A=< >GJ 9 KA?FA>A;9FL HGJLAGF G> the organism’s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“lock and key” mechanismAFO@A;@9J=;=HLGJ @9K9;GEHD=E=FL9JQ:AF<AF?KAL=>GJ9<JM?!A?MJ= $>9<JM?@9KL@= ;GJJ=;LK@9H=LG>ALAFL@=J=;=HLGJ:AF<AF?KAL=L@=F9C=Q<JM?;9FGH=F9 DG;CJ=;=HLGJ !A?MJ= 'G;C9F<C=Q E=;@9FAKEG><JM?9;LAGF 9<JM?AFL=J9;LKOAL@ 9 J=;=HLGJ LG >GJE9<JM?J=;=HLGJ;GEHD=P JM?L9J?=LK /@=J= 9J= K=N=J9D LQH=K G> :G<Q ;GEHGF=FLK L@9L K=JN= 9K <JM? L9J?=LK /@= term ‘receptor’ is often used to refer to any target molecule with which a drug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Į9F<ȕ9J=J9L=;GFKL9FL>GJL@=J=;=HLGJ9;LAN9LAGFJ=9;LAGF "=F=J9DDQ L@= :AF<AF? G> 9 DA?9F< LG 9 J=;=HLGJ E9Q D=9< LG 9 H@QKAGDG?A;9D J=KHGFK=L@JGM?@L@=9;LAN9LAGFGJAF9;LAN9LAGFG>L@9LJ=;=HLGJ /@=:AF<AF? of a drug to a receptor is known as ‘<JM?affinity’;O@AD=A>9J=;=HLGJ=DA;ALK9 LAKKM=J=KHGFK=MHGF<JM?:AF<AF?ALis known as ‘<JM?efficacy’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email protected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ı+ …+ k 2@=J= ;GF;=FLJ9LAGFL@9LHJG<M;=K:AGDG?A;9D=>>=;L +G;L9FGDO9L=J;G=>>A;A=FL 9:;;G=>>A;A=FLK C4AFL=J;=HL ı=D=;LJGFA;#9EE=LL;GFKL9FL /@=!J==2ADKGF9HHJG9;@HJGHGK=<L@9LFGH@QKA;G;@=EA;9DH9J9E=L=JK9J= J=IMAJ=<>GJL@=KLJM;LMJ=9;LANALQJ=D9LAGFK@AHAFKL=9<L@=;GFLJA:MLAGFG>=9;@ KLJM;LMJ9D >=9LMJ= O9K G> AFL=J=KL /@= KAEHD=KL =IM9LAGF >GJ 9 :AGDG?A;9D J=KHGFK=->GDDGOK log BR = ∑(substituent contributions) + contribution from base molecule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¾ 2&%*$4*/. /' $)&-*$", 02/0&24*&3 &( -&,4*.( 0/*.4 #/*,*.( 0/*.4,/( ¾ 2&%*$4*/. /' #*/,/(*$", "$4*6*49 &( *.)*#*4/29 $/.$&.42"4*/. /' %25(-54"(&.*$*49 ¾ 2&%*$4*/./'02/0&24*&3/'.&7$)&-*$",&.4*4*&3*.%25( %*3$/6&29 ¾ *3+-"."(&-&.4/'$)&-*$",3#92&(5,"4/29"54)/2*4*&3 ¾ 2&%*$4*/./'4)&&.6*2/.-&.4",#&)"6*/52/'/2(".*$0/,,54".43 ¾ 2&%*$4*/./'4)&$)2/-"4/(2"0)*$2&4&.4*/./'"$)&-*$", ¾ 33&33-&.4/'4)&."./4/8*$*49/'."./-"4&2*",3 )&-*$",$"4&(/29"002/"$) )& 52/0&". )&-*$", (&.$9 (5*%".$& %/$5-&.4 /. ./. ".*-",4&34*.( "002/"$)&3 )"3 &.%/23&% 4&$).*15&3 35$) "3 $)&-*$", (2/50*.(2&"%"$2/33".%7&*()4/'&6*%&.$&!",/.(7*4)3'/2 =PL=F<AF? 9F< =D9:GJ9LAF? L@= =PAKLAF? AF>GJE9LAGF KG 9K LG AEHJGN= F=O L=KLAF? KLJ9L=?A=K >GJ HJ=<A;LAF? @ME9F @9R9J<K 9F< 9KK=KKAF? =FNAJGFE=FL9D JAKCK ;@=EA;9D;9L=?GJQAK<=>AF=<9K9?JGMHG>;@=EA;9DKO@GK=LGPA;GDG?A;9DGJ H@QKA;G;@=EA;9D HJGH=JLA=K 9J= DAC=DQ LG := KAEAD9J :=;9MK= G> L@=AJ KLJM;LMJ9D KAEAD9JALQ The ‘similarity’ rationale;9F:=<=K;JA:=<9K;@=EA;9DKL@9L@9N= ¾ 9;GEEGF>MF;LAGF9D?JGMHK= ? =HGPA<=9D<=@Q<==L; ¾ AF;J=E=FL9DGJ<=;J=E=FL9D;@9F?=KAFKLJM;LMJ== ? ;@9AFD=F?L@ ¾ ;GEEGF;@=EA;9D;D9KK=KGJ;GFKLALM=FLK ¾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linear relationship is established between ‘m’ number of 3K 9F< L@= :AGDG?A;9D 9;LANALQ <9L9 4 L@JGM?@ 9 DAF=9J =IM9LAGF .M;@ 9 J=D9LAGFK@AH;9F:==PHJ=KK=<OAL@9EMDLAHD=DAF=9J=IM9LAGF 4::3:3+ …+ bE3E 2@=J= :4AFL=J;=HL :=KLAE9L=<KDGH=G>9J=?J=KKAGFG>4GF3 /@=('-L=;@FAIM=AK?=F=J9DDQMK=<LGA<=FLA>QL@=:=KLK=LG>AF<=H=F<=FL N9JA9:D=K KG L@9L 9 <=H=F<=FL N9JA9:D= ;9F := HJ=<A;L=< 9K 9;;MJ9L=DQ 9K HGKKA:D= /@= :=KL AF<=H=F<=FL N9JA9:D=K ;9F := A<=FLA>A=< OAL@ L@= @=DH G> KL9LAKLA;9D9HHJG9;@=KKM;@9K:9;CO9J<=DAEAF9LAGFGJKL=HOAK=K=D=;LAGF /@= :9;CO9J< =DAEAF9LAGF 9HHJG9;@ J=EGN=K L@= D=9KL KA?FA>A;9FL N9JA9:D=K >JGE 9 EG<=D 9F< J=>ALK L@= EG<=D /@AK HJG;=<MJ= ;GFLAFM=K MFLAD L@= ‘stopping criteria’ 9J=E=LKM;@9KL@=@A?@=KLJGJDGO=KL=JJGJO@=J=9KL@= KL=HOAK=K=D=;LAGF:=?AFKOAL@GML9FQN9JA9:D=KAF9EG<=D9F<L@=F;GFKLJM;LK L@=EG<=D9<<AF?F=ON9JA9:D=KMFLADFG>MJL@=JN9JA9:D=K9J=KA?FA>A;9FL $LAK HGKKA:D= LG =P;DM<= 9 N9JA9:D=K L@9L AK D=KK KA?FA>A;9FL L@9F L@= N9JA9:D=K 9<<=<D9L=J +JAF;AH9D;GEHGF=FL9F9DQKAK+ +JAF;AH9D ;GEHGF=FL 9F9DQKAK AK 9 E=L@G< >GJ ;GFN=JLAF? 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K;GJ= L@J=K@GD< G> O9K MK=< O@A;@ >ADL=J=<<=K;JAHLGJK /@=K=<=K;JAHLGJKO=J=;GFKA<=J=<>GJ>MJL@=JKLM<A=K 9F<GL@=JAJJ=D=N9FL<=K;JAHLGJKO=J=J=EGN=< $F9<<ALAGF>AN=;@=EA;9DKO=J= A<=FLA>A=< 9K HGL=FLA9D GMLDA=JK AF L@= + K;GJ= HDGL 9F< L@MK L@=Q O=J= =P;DM<=< >JGE >MJL@=J KLM<A=K /@= >AF9D <9L9K=L ;GFKA<=J=< >GJ L@= EG<=D <=N=DGHE=FL;GEHJAK=<G>;@=EA;9DK9DGF?OAL@L@=AJ<=K;JAHLGJK (G<=D<=N=DGHE=FL D9KKA>A;9LAGFK;@=E= /@=IM9FLAL9LAN=LGPA;GDG?A;9DJ=KHGFK=O9K ;D9KKA>A=<AF9IM9DAL9LAN=;D9KKGF L@= :9KAK G> L@= "DG:9DDQ #9JEGFAR=< .QKL=E /@J== ;D9KK=K O=J= >GJE=< D9KK $ ' ≤ 300 E?C?<9Q @A?@DQ LGPA; D9KK $$ ' ≤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e have selected the ‘Euclidean’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“ga_toolbox” and “pca” Matlab modules developed at (AD9FG @=EGE=LJA;K 9F< ,.- -=K=9J;@ "JGMH 0FAN=JKALQ G> (AD9FG A;G;;9(AD9F$L9DQ (G<=DN9DA<9LAGF /@= (MFJG <9L9K=L ;@=EA;9DK O=J= J9F<GEDQ KHDAL C==HAF? G> L@= ;@=EA;9DK >JGE =N=JQ ;D9KK AF L@= LJ9AFAF? K=L 9F< L@= J=E9AFAF? AF L@= L=KLK=L/9:D= /GK=D=;LL@=EGD=;MD9J<=K;JAHLGJK9F<LG;GFKLJM;L L@= ;D9KKA>A;9LAGF EG<=DK L@= LJ9AFAF? 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K=L G> ;@=EA;9DK OAL@ <=K;JAHLGJK O9K 9KKA?F=< >GJ N9JA9:D=K=D=;LAGF:QL@=";GMHD=<OAL@ C));D9KKA>A;9LAGF /@=AFL=JF9D N9DA<9LAGFG>EG<=DKO9K9KK=KK=<:Q>GD<;JGKKN9DA<9LAGF>GMJ?JGMHKO=J= MK=<>GJL=KLAF?L@=;D9KKE=E:=JK@AHG>L@=GEALL=<?JGMHO@=J=L@=;D9KKG> L@=E9BGJALQG>CF=A?@:GJKO9K9KKA?F=<LGL@=E=E:=JG>L@=GEALL=<?JGMH /@=:=KLEG<=D;GFKLJM;L=<GFL@=LJ9AFAF?K=LL@9L@9<9@A?@=J) -;N9F< L@= DGO=KL ;D9KK =JJGJ O9K KM:B=;L=< >GJ =PL=JF9D N9DA<9LAGF /@= L=KL K=L ;GEHJAK=< G> ;@=EA;9DK O9K MK=< >GJ =PL=JF9D N9DA<9LAGF !AF9DDQ H=J>GJE9F;= G> L@= :=KL EG<=D O9K9KK=KK=< :Q E=9FKG> H9J9E=L=JK KM;@9K FGF=JJGJJ9L=) -K=FKALANALQKH=;A>A;ALQHJ=;AKAGF9F<=JJGJJ9L= - /G;D9KKA>Q;@=EA;9DKAFLGL@=LJ9AFAF?9F<L=KLK=LK9KO=DD9KLGH=J>GJEL@= ";GMHD=< C)) ;D9KKA>A;9LAGF the “classification toolbox” Matlab module <=N=DGH=<9L(AD9FG@=EGE=LJA;K9F<,.-J=K=9J;@?JGMHO9KMK=< -=KMDLK9F<<AK;MKKAGF "=F=LA;D?GJAL@EGML;GE= /@="KLJ9L=?QO9K9HHDA=<AFGJ<=JLGK=D=;LKA?FA>A;9FL<=K;JAHLGJKO@A;@ D9L=J O=J= MK=< >GJ L@= ;GFKLJM;LAGF G> L@= C)) EG<=D /@= :=KL C)) EG<=D G:L9AF=< >JGE L@= " KLJ9L=?Q ;GFKAKL=< G> <=K;JAHLGJK 9F< O9K 9KKG;A9L=< OAL@ 9 ) -;N G> 9F< ) ->AL GF L@= LJ9AFAF? 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