{VERSION 4 0 "IBM INTEL NT" "4.0" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 1 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 0 0 1 }{CSTYLE "2D Output" 2 20 "" 0 1 0 0 255 1 0 0 0 0 0 0 0 0 0 1 } {CSTYLE "" -1 256 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }{PSTYLE "Normal " -1 0 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Maple Output" -1 11 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }3 3 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Maple Plot" -1 13 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }3 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Normal " -1 256 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 } 3 1 0 0 0 0 1 0 1 0 2 2 0 1 }} {SECT 0 {EXCHG {PARA 256 "" 0 "" {TEXT -1 52 "Mathematical Model of Pe thidine Flow Throughout Body" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 122 "clinical_data := [[0.5, 0.4 2], [1,0.29],[1.5,0.22],[2,0.18],[2.5,0.15],[3,0.125],[4,0.096],[6,0.0 6],[8,0.038],[10,0.024]]:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 41 "unassign('x1','x2', 'k12', 'k2 1', 'k10');" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 24 "Definition of Vari ables:" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 55 "x1 = the concentration of Pethidine in the Blood Plasma" }}{PARA 0 " " 0 "" {TEXT -1 55 "x2 = the concentration of Pethidine in the Other O rgans" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 47 "Concentration of Pethidine in the blood stream." }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 54 "de1 := diff(x1(t),t) = (-(k10+k12)*x1(t)) +(k21*x2(t));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$de1G/-%%diffG6$-%# x1G6#%\"tGF,,&*&,&%$k10G\"\"\"%$k12GF1F1F)F1!\"\"*&%$k21GF1-%#x2GF+F1F 1" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 47 "Concentration of Pethidine i n the other organs." }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 47 "de2 := diff( x2(t),t) = (k12*x1(t))-(k21*x2(t));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6 #>%$de2G/-%%diffG6$-%#x2G6#%\"tGF,,&*&%$k12G\"\"\"-%#x1GF+F0F0*&%$k21G F0F)F0!\"\"" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 73 "Solving the system of equations for both blood stream and other organs. " }}{PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 66 "sol := dsolve(\{de1, de2, x1(0) = .50, x2(0) = 0\}, \{x1(t), x2(t)\}):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "solx1 := sol[2]:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "solx2 \+ := sol[1]:" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 105 "We now make the as sumption that k12 < k21 < k10 because the drug eventually must clear o ut of the body. " }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 " " 0 "" {TEXT -1 137 "Comparison of concentrations of pethidine in the \+ bloodstream (x1) and the organs (x2) for constants k12 = 0.1, k21 = 0. 2, and k10 = 0.35." }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 68 "subn1 := simplify(subs(\{k12 = 0.05, k21 = \+ 0.2, k10 = 0.35\}, solx1));" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 68 "subn 2 := simplify(subs(\{k12 = 0.05, k21 = 0.2, k10 = 0.35\}, solx2));" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%&subn1G/-%#x1G6#%\"tG,&-%$expG6#,$F) $!+Qky&e\"!#5$\"+q/LAt!#6*&$\"+`pwnUF1\"\"\"-F,6#,$F)$!+iN@9WF1F8F8" } }{PARA 11 "" 1 "" {XPPMATH 20 "6#>%&subn2G/-%#x2G6#%\"tG,&-%$expG6#,$F )$!+Qky&e\"!#5$\"+lZ$)Q))!#6*&$\"+lZ$)Q))F4\"\"\"-F,6#,$F)$!+iN@9WF1F8 !\"\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 166 "plot(\{clinical_d ata, rhs(subn2), rhs(subn1)\}, t = 0..10, Concentration = 0..0.5, titl e = `Concentration of Pethidine vs. Time for k12 = 0.05, k21 = 0.2, k1 0 = 0.35`):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 155 "plot(\{rhs( subn2), rhs(subn1)\}, t = 40..50, Concentration = 0..0.0001, title = ` Concentration of Pethidine vs. Time for k12 = 0.05, k21 = 0.2, k10 = 0 .35`):" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 164 "We proceed to demonstr ate how the solution behaves in comparison to the clinical data for di fferent set of absorption rates (k12, k21, and k10) and for values of \+ t." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 38 "For cases where k21 & k12 are similar." }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 74 "subn_value_1 := simplify(subs(\{k12 = 0.1, k21 = 0.11 , k10 = 0.3\}, solx1));" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 75 "subn_val ue_1_2 := simplify(subs(\{k12 =0.1, k21 = 0.11, k10 = 0.3\}, solx2)); " }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 29 "unassign('k12','k21', 'k10');" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%-subn_value_1G/-%#x1G6#%\"tG,&-%$e xpG6#,$F)$!+I)pWg(!#6$\"+!4XNu%F1*&$\"+!\\Xc_%!#5\"\"\"-F,6#,$F)$!+%/subn_value_1_2G/-%#x2G6 #%\"tG,&-%$expG6#,$F)$!+I)pWg(!#6$\"+!*o*pR\"!#5*&$\"+!*o*pR\"F4\"\"\" -F,6#,$F)$!+ " 0 "" {MPLTEXT 1 0 177 "plot(\{clinical_data, rhs(subn_value_1), rhs(subn_value_1_2)\}, t =0..10, Concentration=0..0.5, title = `Concentration of Pethidine vs. \+ Time for k12 = 0.1, k21 = 0.11, k10 = 0.3`);" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 13 "" 1 "" {GLPLOT2D 963 588 588 {PLOTDATA 2 "6(-%'CURVESG6$7S7$$\"\"!F)$\"3#*******)****** *\\!#=7$$\"3emmm;arz@F,$\"3W$zX0AWPe%F,7$$\"3[LL$e9ui2%F,$\"3uny&eezk 31)Rbh#F,7$$\"33++D1J:w=FD$\"31YiLuE=;CF,7$$\"3oLLL3En$4#FD$\"3aG`\"e1 V)GAF,7$$\"3#pmmT!RE&G#FD$\"3%*)fF2[\\u2#F,7$$\"3D+++D.&4]#FD$\"3w>1f9 O'4#>F,7$$\"3;+++vB_5F,7$$\"3CML$e9Ege%FD$\"3esb!=@ oC`*!#>7$$\"3]LLeR\"3Gy%FD$\"3)Q$HO&opk(*)Ffr7$$\"3emm;/T1&*\\FD$\"3LC &>hkJRU)Ffr7$$\"3=nm\"zRQb@&FD$\"3;ZY2aFD$\"3;a Ip\"eN]Z(Ffr7$$\"3Znm;zXu9cFD$\"33IdY2!4L0(Ffr7$$\"34+++]y))GeFD$\"3?l qDyj0_mFfr7$$\"3H++]i_QQgFD$\"3-$*[X&[u/H'Ffr7$$\"3b++D\"y%3TiFD$\"3Y# 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Gw/9&pFfr7$Fgx$\"3#3En[QSb'oFfr7$F\\y$\"35)*z$4xcfy'Ffr7$Fay$\"37;0PKZ 9%p'Ffr7$Ffy$\"3XUxNOyk6mFfr7$F[z$\"38'eYOC`M_'Ffr7$F`z$\"3I%QT,*e%*Qk Ffr7$Fez$\"3!3vv'4X;[jFfr-Fjz6&F\\[lF][lF][lF(-%+AXESLABELSG6$Q\"t6\"Q .ConcentrationFcil-%&TITLEG6#%coConcentration~of~Pethidine~vs.~Time~fo r~k12~=~0.1,~k21~=~0.11,~k10~=~0.3G-%%VIEWG6$;F(Fez;F($\"\"&F^[l" 1 2 0 1 10 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 1 "Conc. of Pethidin e in Blood Plasma" "Clinical Data for Conc. of Pethidine in Blood Plas ma" "Conc. of Pethidine in Other Organs" }}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 179 "plot(\{clinical_data, rhs(subn_value_1), rhs(subn_va lue_1_2)\}, t=40..50, Concentration=0..0.01, title = `Concentration of Pethidine vs. Time for k12 = 0.1, k21 = 0.11, k10 = 0.3`);" }}{PARA 13 "" 1 "" {GLPLOT2D 916 589 589 {PLOTDATA 2 "6(-%'CURVESG6$7S7$$\"#S \"\"!$\"3?\"*QVH$H]E#!#?7$$\"3Rmm;arz@S!#;$\"3)3;EQj$zFAF-7$$\"35L$e9u i2/%F1$\"33Xv!p[$*e>#F-7$$\"3omm\"z_\"4iSF1$\"3!3fGY(Qcg@F-7$$\"3ummT& phN3%F1$\"3^+jl#>ub7#F-7$$\"3CL$e*=)H\\5%F1$\"3iRJj\"\\884#F-7$$\"3Xm; z/3uCTF1$\"31!pq<+V+1#F-7$$\"3;+]7LRDXTF1$\"3d?cP)*o:G?F-7$$\"3#om\"zR 'ok;%F1$\"3?Sg'\\M*p&*>F-7$$\"37+]i5`h(=%F1$\"3Y%*ojlG'Q'>F-7$$\"3bLL$ 3En$4UF1$\"3\"[)3is\\kJ>F-7$$\"3#pm;/RE&GUF1$\"3K.SZXbq.>F-7$$\"3!)*** *\\K]4]UF1$\"3[&3N'[cts=F-7$$\"3;++]PAvrUF1$\"3t=GgLb9U=F-7$$\"3=++]nH i#H%F1$\"3I!p2,>RJ\"=F-7$$\"3Qm;z*ev:J%F1$\"3_KYleX>(y\"F-7$$\"30LL$34 7TL%F1$\"3!p0vIlEov\"F-7$$\"3?LLLjM?`VF1$\"3S\"R;n80:t\"F-7$$\"3)***\\ 7o7TvVF1$\"3*f.g%R!4Dq\"F-7$$\"3OLLLQ*o]R%F1$\"3]f$z;*zCx;F-7$$\"32+]7 =lj;WF1$\"3'*G_,HO'*\\;F-7$$\"3J+]PaR\\:F-7$$\"3sm;zRQb@XF1$\"3j!GN1rOM_\"F-7$$\"3?+] (=>Y2a%F1$\"3Zdp)Q)QO,:F-7$$\"3%om;zXu9c%F1$\"3QW$*\\,a9F-7$$\"3.++DE&QQg%F1$\"3qipD[8.J9F-7$$\"3C+] 7y%3Ti%F1$\"3hSON!=U\"49F-7$$\"3#)***\\P![hYYF1$\"3Il<-U+B&Q\"F-7$$\"3 iLLLQx$om%F1$\"39qrmM-4k8F-7$$\"3C++]P+V)o%F1$\"34rr=y\\(=M\"F-7$$\"3i m;zpe*zq%F1$\"3&Qe:5Fd?K\"F-7$$\"37++]#\\'QHZF1$\"3ElGjIgs+8F-7$$\"3cL 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SLABELSG6$Q\"t6\"Q.ConcentrationFfhl-%&TITLEG6#%coConcentration~of~Pet hidine~vs.~Time~for~k12~=~0.1,~k21~=~0.11,~k10~=~0.3G-%%VIEWG6$;F(Fez; F`[l$F\\\\l!\"#" 1 2 0 1 10 0 2 9 1 4 2 1.000000 45.000000 40.000000 0 1 "Conc. of Pethidine in Blood Plasma" "Conc. of Pethidine in Other \+ Organs" "Conc. of Pethidine in Other Organs" }}}}{EXCHG {PARA 0 "" 0 " " {TEXT 256 39 "For cases where k21 and k10 are similar" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 75 "subn_value_2 : = simplify(subs(\{k12 = 0.1, k21 = 0.29, k10 = 0.30\}, solx1));" }} {PARA 0 "> " 0 "" {MPLTEXT 1 0 77 "subn_value_2_2 := simplify(subs(\{k 12 = 0.1, k21 = 0.29, k10 = 0.30\}, solx2));" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 29 "unassign('k12','k21', 'k10');" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%-subn_value_2G/-%#x1G6#%\"tG,&-%$expG6#,$F)$!+$)pWg;! #5$\"+5%/subn_value_2_2G/-%#x2G6#%\"tG,&-%$expG6#,$F)$ !+$)pWg;!#5$\"+!*o*pR\"F1*&$\"+!*o*pR\"F1\"\"\"-F,6#,$F)$!+:IbR_F1F7! \"\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 172 "plot(\{rhs(subn_va lue_2), rhs(subn_value_2_2), clinical_data\}, t=0..10, Concentration = 0..0.5, title = `Conc. of Pethidine vs. Time for k12 = 0.1, k21 = 0.2 9, k10 = 0.30`);" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}{PARA 13 "" 1 "" {GLPLOT2D 941 597 597 {PLOTDATA 2 "6(-%'CURVESG6$7X7$$\"\"!F)F(7$ $\"3GLLL3x&)*3\"!#=$\"3%y*344<`[_!#?7$$\"3emmm;arz@F-$\"3V1Q3#Qi6,\"!# >7$$\"3v***\\7y%*z7$F-$\"3t*=()RuQZS\"F67$$\"3[LL$e9ui2%F-$\"3k>(okv%F67$$\"33++D1J:w=Fgn $\"3D,I_6DM.]F67$$\"3oLLL3En$4#Fgn$\"3\"y!=M*H'[._F67$$\"3#pmmT!RE&G#F gn$\"3va#*H[H**R`F67$$\"3D+++D.&4]#Fgn$\"3c`kF)fCXX&F67$$\"3;+++vB_Z@Vr$ybF67$$\"3&om;z*ev:JF gn$\"3K_l#3w#=(f&F67$$\"3_LLL347TLFgn$\"3_SUm)p2af&F67$$\"3nLLLLY.KNFg n$\"3/)Ru?\"p0wbF67$$\"33++D\"o7Tv$Fgn$\"32@\\fMO%e`&F67$$\"3?LLL$Q*o] RFgn$\"3'4-7r.jl[&F67$$\"3m++D\"=lj;%Fgn$\"3B-jVmv!*>aF67$$\"3S++vV&R< P%Fgn$\"3_\"[,/.QgM&F67$$\"3CML$e9Ege%Fgn$\"31\\\"p(Gq*)f_F67$$\"3]LLe R\"3Gy%Fgn$\"3-A>:\"3()R<&F67$$\"3emm;/T1&*\\Fgn$\"3'[P(GK=Jv]F67$$\"3 =nm\"zRQb@&Fgn$\"3#Q!fj9zZn\\F67$$\"3:++v=>Y2aFgn$\"3'))Q2W^*4q[F67$$ \"3Znm;zXu9cFgn$\"3iJ&pP7*4iZF67$$\"34+++]y))GeFgn$\"3_wS4TRB[YF67$$\" 3H++]i_QQgFgn$\"3)*3%G0n#HNXF67$$\"3b++D\"y%3TiFgn$\"3VKBR[o8DWF67$$\" 3+++]P![hY'Fgn$\"3=PB+/;S-VF67$$\"3iKLL$Qx$omFgn$\"3;7R+n$)=#>%F67$$\" 3Y+++v.I%)oFgn$\"3KhmMB=+vSF67$$\"3?mm\"zpe*zqFgn$\"3YC^Zy`bpRF67$$\"3 ;,++D\\'QH(Fgn$\"3c5oOnBPbQF67$$\"3%HL$e9S8&\\(Fgn$\"3%y:wpF8#\\PF67$$ \"3s++D1#=bq(Fgn$\"35v:%F-7$$\"\"\"F)$\"3y**************GF-7$$\"3++++++++:Fgn$\"3-++++++ +AF-7$$\"\"#F)$\"3#**************z\"F-7$$\"3++++++++DFgn$\"3%********* *****\\\"F-7$$\"\"$F)$\"3+++++++]7F-7$$\"\"%F)$\"3?+++++++'*F67$$\"\"' F)$\"3y**************fF67$$\"\")F)$\"3#**************z$F67$F]\\l$\"3/+ ++++++CF6-Fb\\l6&Fd\\lF(Fe\\lF(-F$6$7S7$F($\"3#*******)*******\\F-7$F2 $\"3+F#*=(y.de%F-7$F=$\"3U(G2]\\K\"eUF-7$FG$\"3)>al9],F#RF-7$FQ$\"3e** G&4dDoh$F-7$Fen$\"3q#R@62W3M$F-7$F[o$\"3u5aEY*4y5$F-7$F`o$\"3i\\?\"=.> u)GF-7$Feo$\"3'p02gT*pzEF-7$Fjo$\"3mKo=!*p3\"\\#F-7$F_p$\"3L$=P\"\\4P9 BF-7$Fdp$\"3iQjGX\"[=<#F-7$Fip$\"3X(Q%)oi'pC?F-7$F^q$\"3)[b4oDa(*)=F-7 $Fcq$\"3+C)))>Rt1x\"F-7$Fhq$\"3s0iB]e)4n\"F-7$F]r$\"3e=.mE2$>c\"F-7$Fb r$\"3E/)\\b'Q(oZ\"F-7$Fgr$\"3[i1fl`e&Q\"F-7$F\\s$\"3h!*H!=u%f4%*F67$F_u$\"3s8%*yo7wx *)F67$Fdu$\"3\"3<`mv37a)F67$Fiu$\"3=fu(3*[/?\")F67$F^v$\"3.%HTQD%)[t(F 67$Fcv$\"37&3H55>aQ(F67$Fhv$\"3-D+\\U$4>-(F67$F]w$\"3!f^-=8*\\:nF67$Fb w$\"3Wr%\\w\"zu2kF67$Fgw$\"3>6&fjKi[9'F67$F\\x$\"3=ksIx3^teF67$Fax$\"3 E@M\")[(pBj&F67$Ffx$\"39P6'*Q1\"RR&F67$F[y$\"3QPAj`_Ct^F67$F`y$\"3qGG> 8T[a\\F67$Fey$\"39q_o6E![v%F67$Fjy$\"3Elztw\"*)4c%F67$F_z$\"3kTI)oMZ%y VF67$Fdz$\"3^aS,n-k=UF67$Fiz$\"3(*RGb^R@WSF67$F^[l$\"3!*o`D?)3c*QF67$F c[l$\"3IuCBMwPWPF67$Fh[l$\"3ADF5ZA=1OF67$F]\\l$\"3yLA3?=QkMF6-Fb\\l6&F d\\lFe\\lFe\\lF(-%+AXESLABELSG6$Q\"t6\"Q.ConcentrationFhil-%&TITLEG6#% \\oConc.~of~Pethidine~vs.~Time~for~k12~=~0.1,~k21~=~0.29,~k10~=~0.30G- %%VIEWG6$;F(F]\\l;F($\"\"&Ff\\l" 1 2 0 1 10 0 2 9 1 4 2 1.000000 43.000000 42.000000 0 1 "Conc. of Pethidine in Other Organs" "Conc. of Pethidine in Blood Plasma" "Clinical Data for Conc. of Pethidine in B lood Plasma" }}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 264 "plot(\{rhs (subn_value_2), rhs(subn_value_2_2), [[0.5,.42],[1,0.29],[1.5,0.22],[2 ,0.18],[2.5,0.15],[3,0.125],[4,0.096],[6,0.06],[8,0.038],[10,0.024]]\} , t=40..50, Concentration = 0..0.0003, title = `Conc. of Pethidine vs. Time for k12 = 0.1, k21 = 0.29, k10 = 0.30`);" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}{PARA 13 "" 1 "" {GLPLOT2D 904 571 571 {PLOTDATA 2 "6(-%'CURVESG6$7S7$$\"#S\"\"!$\"3M[zt)>]E#=!#@7$$\"3Rmm;arz@S!#;$\"3 ;3`=pD'yv\"F-7$$\"35L$e9ui2/%F1$\"3mci?DxO.)4W;F-7$$\"3ummT&phN3%F1$\"3s%)4=!\\=le\"F-7$$\"3CL$e*=)H\\5%F1 $\"3ZWJbjZ@J:F-7$$\"3Xm;z/3uCTF1$\"3=Nq!)*zk;[\"F-7$$\"3;+]7LRDXTF1$\" 3F0()*4rZ?V\"F-7$$\"3#om\"zR'ok;%F1$\"3EK#43t![#Q\"F-7$$\"37+]i5`h(=%F 1$\"3gkrUu,yM8F-7$$\"3bLL$3En$4UF1$\"33'pAY*3V(G\"F-7$$\"3#pm;/RE&GUF1 $\"3C0\"*)*e)=rC\"F-7$$\"3!)****\\K]4]UF1$\"3/F*=hSXK?\"F-7$$\"3;++]PA vrUF1$\"3uk6K3Zug6F-7$$\"3=++]nHi#H%F1$\"3ix\\fO%377\"F-7$$\"3Qm;z*ev: J%F1$\"3'Q7'*[jtk3\"F-7$$\"30LL$347TL%F1$\"3/xTG#Qol/\"F-7$$\"3?LLLjM? `VF1$\"3oWBU#H7R,\"F-7$$\"3)***\\7o7TvVF1$\"3eHc*>]`?x*!#A7$$\"3OLLLQ* o]R%F1$\"3'[uV^6Q#e%*Fcq7$$\"32+]7=lj;WF1$\"3XYVRVZ^D\"*Fcq7$$\"3J+]Pa R))Fcq7$$\"3qLLe9EgeWF1$\"3>$=F#)zv7^)Fcq7$$\"35L $eR\"3GyWF1$\"3L(*f$pjnwB)Fcq7$$\"3emmT5k]*\\%F1$\"3aZK)z5'R_zFcq7$$\" 3sm;zRQb@XF1$\"3')Hrm'fMlm(Fcq7$$\"3?+](=>Y2a%F1$\"3l\"Rz#4.2EuFcq7$$ \"3%om;zXu9c%F1$\"3Sd;#=&p#[<(Fcq7$$\"35+++&y))Ge%F1$\"3[#fr)*\\\">CpF cq7$$\"3.++DE&QQg%F1$\"3]%f\")z&4\\*GiFcq7$$\"3iLLLQx$om%F1$\"3q4U)oJ fK-'Fcq7$$\"3C++]P+V)o%F1$\"3&*ys++O86eFcq7$$\"3im;zpe*zq%F1$\"3:h7\\a ^PDcFcq7$$\"37++]#\\'QHZF1$\"3taQcs(z!HaFcq7$$\"3cL$e9S8&\\ZF1$\"3A9Tl l+k]_Fcq7$$\"3#)**\\i?=bqZF1$\"3EDV9&H&Qq]Fcq7$$\"3-LL$3s?6z%F1$\"3DwA m$RP,!\\Fcq7$$\"3y**\\7`Wl7[F1$\"3`@i$eFD!GZFcq7$$\"3%pmmm*RRL[F1$\"3S 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\"3%z$>[#oxsH\"F-7$Fjp$\"3)>[8Cm)zc7F-7$F_q$\"3Bbl>$R)H67F-7$Feq$\"3s' >=\"e#*Rs6F-7$Fjq$\"3$el#))yj:J6F-7$F_r$\"3?+vxEFB$4\"F-7$Fdr$\"35=b;< \"=]0\"F-7$Fir$\"3y]\"[***G5@5F-7$F^s$\"3Em!ebZ>u&)*Fcq7$Fcs$\"3dRE&=m yI]*Fcq7$Fhs$\"3gCP\"H=5]?*Fcq7$F]t$\"3uqd#=[!e$*))Fcq7$Fbt$\"3k>!e(HV !He)Fcq7$Fgt$\"3gaO/AJZ*G)Fcq7$F\\u$\"3Ot(*)=q:^,)Fcq7$Fau$\"3#H6I3)R6 @xFcq7$Ffu$\"3sd1`g/:muFcq7$F[v$\"3f'Q%of#4K?(Fcq7$F`v$\"3)))\\uNr^H(p Fcq7$Fev$\"3cZE,yIjHnFcq7$Fjv$\"3FISJ9vW3lFcq7$F_w$\"3S.KQ)37]G'Fcq7$F dw$\"3a#yqrr!)R2'Fcq7$Fiw$\"3OP)4abQ1'eFcq7$F^x$\"3'zW]Av^Am&Fcq7$Fcx$ \"3U#zUd;;jY&Fcq7$Fhx$\"39P\"=7\")*py_Fcq7$F]y$\"30\"4=(*Q#)>6&Fcq7$Fb y$\"344RYc5PF\\Fcq7$Fgy$\"3wQ. " 0 "" {MPLTEXT 1 0 74 "subn_value_3 := simplify(subs(\{k12 = 0.1, k21 = 0.20, k10 = .35\}, solx1));" }} {PARA 0 "> " 0 "" {MPLTEXT 1 0 77 "subn_value_3_2 := simplify(subs(\{k 12 = 0.1, k21 = 0.20, k10 = 0.35\}, solx2));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%-subn_value_3G/-%#x1G6#%\"tG,&-%$expG6#,$F)$!+\"RTDO \"!#5$\"+NbMV%)!#6*&$\"+[ambTF1\"\"\"-F,6#,$F)$!+5'eu8&F1F8F8" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%/subn_value_3_2G/-%#x2G6#%\"tG,&-%$e xpG6#,$F)$!+\"RTDO\"!#5$\"+dB`C8F1*&$\"+dB`C8F1\"\"\"-F,6#,$F)$!+5'eu8 &F1F7!\"\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 158 "plot(\{rhs(s ubn_value_3), rhs(subn_value_3_2), clinical_data\}, t=0..10, Concentra tion = 0..0.5, title = `Conc. vs. Time for k12 = 0.1, k21 = 0.2, k10 = 0.35`);" }}{PARA 13 "" 1 "" {GLPLOT2D 934 606 606 {PLOTDATA 2 "6(-%'C URVESG6$7,7$$\"3++++++++]!#=$\"3%)*************>%F*7$$\"\"\"\"\"!$\"3y **************GF*7$$\"3++++++++:!#<$\"3-+++++++AF*7$$\"\"#F0$\"3#***** *********z\"F*7$$\"3++++++++DF6$\"3%**************\\\"F*7$$\"\"$F0$\"3 +++++++]7F*7$$\"\"%F0$\"3?+++++++'*!#>7$$\"\"'F0$\"3y**************fFM 7$$\"\")F0$\"3#**************z$FM7$$\"#5F0$\"3/+++++++CFM-%'COLOURG6&% $RGBG$FZ!\"\"$F0F0F]o-F$6$7X7$F]oF]o7$$\"3GLLL3x&)*3\"F*$\"3[l]q$)>-g_ !#?7$$\"3emmm;arz@F*$\"3`&y$[Y!4c,\"FM7$$\"3v***\\7y%*z7$F*$\"3?,kB\"H POT\"FM7$$\"3[LL$e9ui2%F*$\"3Sy\"4sp4qy\"FM7$$\"3z***\\(oMrU^F*$\"33#G -(y$)**y@FM7$$\"3nmmm\"z_\"4iF*$\"3!\\tM_]fIa#FM7$$\"3Unmmm6m#G(F*$\"3 CW,r$fPH)GFM7$$\"39ommT&phN)F*$\"3Y'[;a&>m(>$FM7$$\"3A,+v=ddC%*F*$\"3i dxT@MN([$FM7$$\"3KLLe*=)H\\5F6$\"3]mN+7x\"\\v$FM7$$\"3smm\"z/3uC\"F6$ \"3!ejyPN!z'>%FM7$$\"3!****\\7LRDX\"F6$\"3sm$)H%[^ne%FM7$$\"3%om;zR'ok ;F6$\"3QlA%RWFc#\\FM7$$\"33++D1J:w=F6$\"3p&QEvFYb?&FM7$$\"3oLLL3En$4#F 6$\"35F$o[d],W&FM7$$\"3#pmmT!RE&G#F6$\"3h'4QZYhqg&FM7$$\"3D+++D.&4]#F6 $\"3A!*)z]yabv&FM7$$\"3;+++vB_C%Gv'eFM7$$\"33+++v'Hi#HF6$ \"3GAn;%RxW%fFM7$$\"3&om;z*ev:JF6$\"3[\\P;*\\F6*fFM7$$\"3_LLL347TLF6$ 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