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All Rights Reserved) readonly def /FullName (LCIRCLE10) readonly def /FamilyName (LaTeX) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /LCIRCLE10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 100 /a100 put readonly def /FontBBox{-2000 -2000 2040 2040}readonly def /UniqueID 5011942 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMMI5 %!PS-AdobeFont-1.1: CMMI5 1.100 %%CreationDate: 1996 Aug 02 08:21:10 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.100) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMMI5) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMMI5 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 105 /i put dup 106 /j put readonly def /FontBBox{37 -250 1349 750}readonly def /UniqueID 5087380 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMSY7 %!PS-AdobeFont-1.1: CMSY7 1.0 %%CreationDate: 1991 Aug 15 07:21:52 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMSY7) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.035 def /isFixedPitch false def end readonly def /FontName /CMSY7 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /minus put dup 50 /element put dup 54 /negationslash put dup 80 /P put readonly def /FontBBox{-15 -951 1252 782}readonly def /UniqueID 5000817 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMEX10 %!PS-AdobeFont-1.1: CMEX10 1.00 %%CreationDate: 1992 Jul 23 21:22:48 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.00) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMEX10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMEX10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 48 /parenlefttp put dup 49 /parenrighttp put dup 56 /bracelefttp put dup 58 /braceleftbt put dup 60 /braceleftmid put dup 62 /braceex put dup 64 /parenleftbt put dup 65 /parenrightbt put dup 80 /summationtext put dup 88 /summationdisplay put readonly def /FontBBox{-24 -2960 1454 772}readonly def /UniqueID 5000774 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMSY10 %!PS-AdobeFont-1.1: CMSY10 1.0 %%CreationDate: 1991 Aug 15 07:20:57 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMSY10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.035 def /isFixedPitch false def end readonly def /FontName /CMSY10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /minus put dup 2 /multiply put dup 20 /lessequal put dup 80 /P put readonly def /FontBBox{-29 -960 1116 775}readonly def /UniqueID 5000820 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMMI7 %!PS-AdobeFont-1.1: CMMI7 1.100 %%CreationDate: 1996 Jul 23 07:53:53 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.100) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMMI7) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMMI7 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 59 /comma put dup 68 /D put dup 100 /d put dup 104 /h put dup 105 /i put dup 106 /j put dup 109 /m put dup 110 /n put dup 116 /t put readonly def /FontBBox{0 -250 1171 750}readonly def /UniqueID 5087382 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMMI10 %!PS-AdobeFont-1.1: CMMI10 1.100 %%CreationDate: 1996 Jul 23 07:53:57 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.100) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMMI10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMMI10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 58 /period put dup 59 /comma put dup 60 /less put dup 62 /greater put dup 67 /C put dup 68 /D put dup 70 /F put dup 83 /S put dup 99 /c put dup 100 /d put dup 101 /e put dup 102 /f put dup 104 /h put dup 105 /i put dup 106 /j put dup 107 /k put dup 109 /m put dup 112 /p put dup 116 /t put dup 120 /x put readonly def /FontBBox{-32 -250 1048 750}readonly def /UniqueID 5087385 def currentdict end currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMBX10 %!PS-AdobeFont-1.1: CMBX10 1.00B %%CreationDate: 1992 Feb 19 19:54:06 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.00B) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMBX10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Bold) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMBX10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 12 /fi put dup 45 /hyphen put dup 46 /period put dup 49 /one put dup 50 /two put dup 51 /three put dup 52 /four put dup 65 /A put dup 67 /C put dup 68 /D put dup 69 /E put dup 70 /F put dup 71 /G put dup 73 /I put dup 77 /M put dup 82 /R put dup 84 /T put dup 97 /a put dup 98 /b put dup 99 /c put dup 100 /d put dup 101 /e put dup 102 /f put dup 103 /g put dup 104 /h put dup 105 /i put dup 108 /l put dup 109 /m put dup 110 /n put dup 111 /o put dup 112 /p put dup 113 /q put dup 114 /r put dup 115 /s put dup 116 /t put dup 117 /u put dup 118 /v put dup 119 /w put dup 120 /x put dup 121 /y put readonly def /FontBBox{-301 -250 1164 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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMTI10 %!PS-AdobeFont-1.1: CMTI10 1.00B %%CreationDate: 1992 Feb 19 19:56:16 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.00B) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. 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All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMBX12) readonly def /FamilyName (Computer Modern) readonly def /Weight (Bold) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMBX12 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 45 /hyphen put dup 49 /one put dup 50 /two put dup 51 /three put dup 52 /four put dup 65 /A put dup 67 /C put dup 68 /D put dup 73 /I put dup 78 /N put dup 82 /R put dup 97 /a put dup 99 /c put dup 100 /d put dup 101 /e put dup 102 /f put dup 103 /g put dup 104 /h put dup 105 /i put dup 107 /k put dup 108 /l put dup 109 /m put dup 110 /n put dup 111 /o put dup 112 /p put dup 114 /r put dup 115 /s put dup 116 /t put dup 117 /u put dup 119 /w put dup 120 /x put dup 121 /y put readonly def /FontBBox{-53 -251 1139 750}readonly def /UniqueID 5000769 def currentdict end currentfile eexec 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EE4A0665A1D9BB2F3AF22E7B4057E8 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMTI9 %!PS-AdobeFont-1.1: CMTI9 1.0 %%CreationDate: 1991 Aug 18 21:08:07 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMTI9) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMTI9 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 12 /fi put dup 38 /ampersand put dup 40 /parenleft put dup 41 /parenright put dup 44 /comma put dup 45 /hyphen put dup 46 /period put dup 57 /nine put dup 58 /colon put dup 65 /A put dup 66 /B put dup 67 /C put dup 68 /D put dup 69 /E put dup 70 /F put dup 71 /G put dup 73 /I put dup 76 /L put dup 77 /M put dup 78 /N put dup 79 /O put dup 80 /P put dup 82 /R put dup 83 /S put dup 84 /T put dup 85 /U put dup 87 /W put dup 97 /a put dup 98 /b put dup 99 /c put dup 100 /d put dup 101 /e put dup 102 /f put dup 103 /g put dup 104 /h put dup 105 /i put dup 107 /k put dup 108 /l put dup 109 /m put dup 110 /n put dup 111 /o put dup 112 /p put dup 113 /q put dup 114 /r put dup 115 /s put dup 116 /t put dup 117 /u put dup 118 /v put dup 119 /w put dup 121 /y put dup 122 /z put readonly def /FontBBox{-35 -250 1148 750}readonly def /UniqueID 5000827 def currentdict end currentfile eexec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All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. 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All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR9) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR9 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 12 /fi put dup 13 /fl put dup 14 /ffi put dup 19 /acute put dup 20 /caron put dup 24 /cedilla put dup 39 /quoteright put dup 40 /parenleft put dup 41 /parenright put dup 42 /asterisk put dup 44 /comma put dup 45 /hyphen put dup 46 /period put dup 47 /slash put dup 48 /zero put dup 49 /one put dup 50 /two put dup 51 /three put dup 52 /four put dup 53 /five put dup 54 /six put dup 55 /seven put dup 56 /eight put dup 57 /nine put dup 58 /colon put dup 61 /equal put dup 65 /A put dup 66 /B put dup 67 /C put dup 68 /D put dup 69 /E put dup 70 /F put dup 71 /G put dup 72 /H put dup 73 /I put dup 74 /J put dup 75 /K put dup 76 /L put dup 77 /M put dup 78 /N put dup 79 /O put dup 80 /P put dup 82 /R put dup 83 /S put dup 84 /T put dup 85 /U put dup 86 /V put dup 87 /W put dup 90 /Z put dup 91 /bracketleft put dup 93 /bracketright put dup 97 /a put dup 98 /b put dup 99 /c put dup 100 /d put dup 101 /e put dup 102 /f put dup 103 /g put dup 104 /h put dup 105 /i put dup 106 /j put dup 107 /k put dup 108 /l put dup 109 /m put dup 110 /n put dup 111 /o put dup 112 /p put dup 113 /q put dup 114 /r put dup 115 /s put dup 116 /t put dup 117 /u put dup 118 /v put dup 119 /w put dup 120 /x put dup 121 /y put dup 122 /z put dup 123 /endash put dup 126 /tilde put readonly def /FontBBox{-39 -250 1036 750}readonly def /UniqueID 5000792 def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA052A014267B7904EB3C0D3BD0B83D891 016CA6CA4B712ADEB258FAAB9A130EE605E61F77FC1B738ABC7C51CD46EF8171 9098D5FEE67660E69A7AB91B58F29A4D79E57022F783EB0FBBB6D4F4EC35014F D2DECBA99459A4C59DF0C6EBA150284454E707DC2100C15B76B4C19B84363758 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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMR6 %!PS-AdobeFont-1.1: CMR6 1.0 %%CreationDate: 1991 Aug 20 16:39:02 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR6) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR6 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 49 /one put dup 50 /two put readonly def /FontBBox{-20 -250 1193 750}readonly def /UniqueID 5000789 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMR7 %!PS-AdobeFont-1.1: CMR7 1.0 %%CreationDate: 1991 Aug 20 16:39:21 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR7) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR7 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 40 /parenleft put dup 41 /parenright put dup 49 /one put dup 50 /two put dup 51 /three put dup 61 /equal put readonly def /FontBBox{-27 -250 1122 750}readonly def /UniqueID 5000790 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMR10 %!PS-AdobeFont-1.1: CMR10 1.00B %%CreationDate: 1992 Feb 19 19:54:52 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.00B) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 11 /ff put dup 12 /fi put dup 13 /fl put dup 14 /ffi put dup 34 /quotedblright put dup 35 /numbersign put dup 37 /percent put dup 39 /quoteright put dup 40 /parenleft put dup 41 /parenright put dup 43 /plus put dup 44 /comma put dup 45 /hyphen put dup 46 /period put dup 48 /zero put dup 49 /one put dup 50 /two put dup 51 /three put dup 52 /four put dup 53 /five put dup 54 /six put dup 55 /seven put dup 56 /eight put dup 57 /nine put dup 58 /colon put dup 59 /semicolon put dup 61 /equal put dup 65 /A put dup 66 /B put dup 67 /C put dup 68 /D put dup 69 /E put dup 70 /F put dup 71 /G put dup 72 /H put dup 73 /I put dup 74 /J put dup 76 /L put dup 77 /M put dup 78 /N put dup 80 /P put dup 83 /S put dup 84 /T put dup 85 /U put dup 86 /V put dup 87 /W put dup 91 /bracketleft put dup 92 /quotedblleft put dup 93 /bracketright put dup 95 /dotaccent put dup 97 /a put dup 98 /b put dup 99 /c put dup 100 /d put dup 101 /e put dup 102 /f put dup 103 /g put dup 104 /h put dup 105 /i put dup 106 /j put dup 107 /k put dup 108 /l put dup 109 /m put dup 110 /n put dup 111 /o put dup 112 /p put dup 113 /q put dup 114 /r put dup 115 /s put dup 116 /t put dup 117 /u put dup 118 /v put dup 119 /w put dup 120 /x put dup 121 /y put dup 122 /z put dup 123 /endash put dup 124 /emdash put readonly def /FontBBox{-251 -250 1009 969}readonly def /UniqueID 5000793 def currentdict end currentfile eexec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Fq(and)h(another)f(molecule)g(is)h (sup)r(erior)f(to)h Fh(D)2445 4842 y Fg(i)2472 4830 y Fq(,)g(then)h(the)f(lympho)r(cyte)p eop end %%Page: 3 3 TeXDict begin 3 2 bop 1801 232 a Fn(Computing)26 b(with)g(Idiot)n(ypic) f(Net)n(w)n(orks)237 b(3)523 448 y Fq(is)38 b(activ)-5 b(ated.)38 b(This)h(means)e(that)i(it)f(is)h(stim)n(ulated)f(to)g (clone)g(itself)g(and)h(start)e(an)523 548 y(imm)n(une)28 b(resp)r(onse.)523 804 y Fi(2.2)95 b(Dynamics)523 976 y Fq(F)-7 b(ollo)n(wing)18 b([FPP86)n(])h(w)n(e)g(mo)r(del)g(the)g(v)-5 b(ariation)18 b(on)g(the)i(concen)n(tration)d(of)i(lympho)r(cyte)523 1076 y(sp)r(ecies)40 b(as)f(a)h(dynamic)f(system.)h(The)g(concen)n (tration)f(of)g(lympho)r(cyte)h(sp)r(ecies)g Fh(i)p Fq(,)523 1176 y(denoted)28 b(b)n(y)f Fh(x)999 1188 y Fg(i)1027 1176 y Fq(,)h(is)f(describ)r(ed)h(b)n(y)f(the)h(follo)n(wing)e (non-linear)h(di\013eren)n(tial)g(equation:)1063 1361 y(_)-38 b Fh(x)1095 1373 y Fg(i)1146 1361 y Fq(=)23 b Fh(x)1281 1373 y Fg(i)1323 1361 y Fq(\()p Fh(k)1398 1373 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(ageing)e(of)h(cells.)h(The)f(constan)n(ts)523 1946 y Fh(k)566 1958 y Fp(1)604 1946 y Fh(;)14 b(k)684 1958 y Fp(2)721 1946 y Fq(,)29 b(and)g Fh(k)979 1958 y Fp(3)1045 1946 y Fq(allo)n(w)f(us)h(to)f(\014ne)h(tune)h(the)f(relativ)n(e)f (in\015uence)h(of)g(eac)n(h)f(part)g(in)i(the)523 2046 y(equation.)c(V)-7 b(alue)27 b Fh(c)1150 2058 y Fg(min)1305 2046 y Fq(is)f(the)i(initial)f(concen)n(tration)e(of)i(eac)n(h)f (lympho)r(cyte)h(sp)r(ecies.)523 2147 y Fi(Idiot)m(ypic)41 b(in)m(teractions.)35 b Fq(Niels)h(Jerne)e(h)n(yp)r(othesis)h(is)g(a)g (cen)n(tral)g(notion)g(in)h(our)523 2246 y(w)n(ork)22 b(and)i(pro)n(vides)e(imp)r(ortan)n(t)h(in)n(tuitions)h(on)g(ho)n(w)f (the)h(imm)n(une)g(system)f(regulates)523 2346 y(itself)32 b(via)e(idiot)n(ypic)h(in)n(teractions.)e(The)i(idiot)n(ypic)g(in)n (teraction)f(measures)g(the)h(sup-)523 2446 y(pression)e(co)r (e\016cien)n(t)h(of)g(one)g(sp)r(ecies)g(relativ)n(ely)f(to)i(another.) e(Its)h(in)n(tensit)n(y)g(re\015ects)523 2545 y(the)f(pattern)f (recognition)f(in)n(tersection)h(b)r(et)n(w)n(een)g(sp)r(ecies.)g (Therefore,)g(w)n(e)g(mo)r(del)g(it)523 2645 y(as)20 b(a)g(function)h(of)g(the)g(activ)-5 b(ation)20 b(threshold)g(and)h(of) f(the)h(hamming)g(distance)f(\()p Fh(d)p Fq(\()p Fh(i;)14 b(j)5 b Fq(\)\))523 2744 y(b)r(et)n(w)n(een)28 b(the)g(bit)g(strings)e (represen)n(ting)g(sp)r(ecies.)648 2845 y(The)h(suppression)f(that)h (lympho)r(cyte)g(sp)r(ecies)g Fh(j)32 b Fq(exerts)27 b(on)g Fh(i)f Fq(is)h(denoted)h(b)n(y)e Fh(m)3228 2857 y Fg(ij)523 2945 y Fq(and)h(computed)h(as)899 3257 y Fh(m)972 3269 y Fg(ij)1054 3257 y Fq(=)1141 3062 y Fe(8)1141 3136 y(>)1141 3161 y(<)1141 3311 y(>)1141 3336 y(:)1215 3139 y Fq(0)p Fh(;)491 b Fq(if)29 b Fh(D)1917 3151 y Fg(i)1962 3139 y Fq(+)18 b Fh(D)2114 3151 y Fg(j)2168 3139 y Ff(\000)g Fh(d)p Fq(\()p Fh(i;)c(j)5 b Fq(\))23 b Ff(\024)f Fq(0)1225 3218 y Fg(d)p Fp(\()p Fg(i;j)s Fp(\))p Fd(\000)p Fg(D)1491 3226 y Fc(i)1518 3218 y Fd(\000)p Fg(D)1624 3226 y Fc(j)p 1225 3241 431 4 v 1383 3289 a Fp(2)p Fg(D)1470 3297 y Fc(i)1665 3260 y Fh(;)83 b Fq(if)29 b(0)22 b Fh(<)h(D)2069 3272 y Fg(i)2115 3260 y Fq(+)18 b Fh(D)2267 3272 y Fg(j)2320 3260 y Ff(\000)g Fh(d)p Fq(\()p Fh(i;)c(j)5 b Fq(\))23 b Ff(\024)g Fq(2)p Fh(D)2837 3272 y Fg(i)1215 3381 y Ff(\000)p Fq(1)p Fh(;)426 b Fq(if)29 b(2)p Fh(D)1959 3393 y Fg(i)2008 3381 y Fh(<)23 b(D)2165 3393 y Fg(i)2211 3381 y Fq(+)18 b Fh(D)2363 3393 y Fg(j)2416 3381 y Ff(\000)g Fh(d)p Fq(\()p Fh(i;)c(j)5 b Fq(\))2887 3257 y Fh(:)648 3574 y Fq(The)39 b(suppression)g(is)g(minimal)h(\(0\))g (when)g(sp)r(ecies)f Fh(i)g Fq(and)h Fh(j)45 b Fq(do)39 b(not)h(in)n(terfere)523 3674 y(\(recognise\))34 b(eac)n(h)h(other,)g (and)h(is)f(maximal)g(\(-1\))h(when)g(sp)r(ecies)f Fh(i)g Fq(is)h(totally)f(o)n(v)n(er-)523 3774 y(come)c(b)n(y)g(sp)r(ecies)h Fh(j)5 b Fq(.)31 b(When)h(sp)r(ecies)g(in)n(tersect)e(with)j(eac)n(h)d (other,)h(the)h(suppression)523 3873 y(co)r(e\016cien)n(t)27 b(is)h(prop)r(ortional)e(to)h(the)h(in)n(tersecting)f(area)f Fh(d)p Fq(\()p Fh(i;)14 b(j)5 b Fq(\))19 b Ff(\000)f Fh(D)2725 3885 y Fg(i)2771 3873 y Ff(\000)g Fh(D)2923 3885 y Fg(j)2957 3873 y Fq(.)648 3974 y(Notice)33 b(that)g(the)h (suppression)e(v)-5 b(alue)33 b(is)g(not)g(symmetric.)g(The)h(sp)r (ecies)f(with)g(a)523 4074 y(bigger)26 b(activ)-5 b(ation)27 b(threshold)h(exerts)e(more)h(suppression)g(o)n(v)n(er)e(the)j(other)f (one.)648 4175 y(The)18 b(idiot)n(ypic)g(suppression)f(that)i(the)g (net)n(w)n(ork)e(exercises)g(on)h(lympho)r(cyte)g(sp)r(ecies)523 4274 y Fh(i)27 b Fq(is)h(giv)n(en)f(b)n(y)1625 4390 y Fh(S)1676 4402 y Fg(i)1727 4390 y Fq(=)1814 4311 y Fe(X)1822 4490 y Fg(j)s Fd(6)p Fp(=)p Fg(i)1948 4390 y Fh(m)2021 4402 y Fg(ij)2079 4390 y Fh(x)2126 4402 y Fg(j)2162 4390 y Fh(;)523 4629 y Fq(where)g Fh(x)810 4641 y Fg(j)873 4629 y Fq(is)h(the)g(concen)n(tration)e(of)h(sp)r(ecies)h Fh(j)5 b Fq(.)523 4730 y Fi(Fitness.)32 b Fq(The)i(\014tness)g (measures)e(the)i(adaptabilit)n(y)f(of)h(a)f(lympho)r(cyte)h(sp)r (ecies)f(to)523 4830 y(the)22 b(an)n(tigenic)g(en)n(vironmen)n(t.)f (The)h(balance)f(b)r(et)n(w)n(een)h(the)g(activ)-5 b(ation)22 b(threshold)f(and)p eop end %%Page: 4 4 TeXDict begin 4 3 bop 523 232 a Fn(4)237 b(Martins)27 b(and)e(Slani)523 448 y Fq(the)f(distance)g(to)f(self)h(material)f (seems)g(a)g(reasonable)f(\014tness)i(v)-5 b(alue,)23 b(since)h(the)g(mo)r(del)523 548 y(rejects)j(auto-imm)n(une)g(sp)r (ecies.)648 648 y(Let)i Fh(p)840 660 y Fg(i)896 648 y Fq(denotes)g(the)h(bit)f(string)g(that)g(co)r(des)g(the)g(receptor)f (for)h(sp)r(ecies)f Fh(i)h Fq(and)g Fh(e)3252 660 y Fg(j)523 747 y Fq(the)d(co)r(ding)g(of)g(a)g(self)g(elemen)n(t.)g(The)g (\014tness)g Fh(f)9 b Fq(\()p Fh(i;)14 b(j)5 b Fq(\))26 b(b)r(et)n(w)n(een)g Fh(p)2589 759 y Fg(i)2642 747 y Fq(and)g Fh(e)2841 759 y Fg(j)2902 747 y Fq(is)g(giv)n(en)f(b)n(y)1575 968 y Fh(f)9 b Fq(\()p Fh(i;)14 b(j)5 b Fq(\))23 b(=)2010 912 y Fh(D)2079 924 y Fg(i)p 1914 949 288 4 v 1914 1025 a Fh(d)p Fq(\()p Fh(p)2031 1037 y Fg(i)2059 1025 y Fh(;)14 b(e)2135 1037 y Fg(j)2170 1025 y Fq(\))2212 968 y Fh(:)523 1191 y Fq(The)28 b(\014tness)f(of)h(a)f(lympho)r(cyte)h(sp)r(ecies)f Fh(i)g Fq(is)h(computed)g(as)1562 1422 y Fh(F)1615 1434 y Fg(i)1666 1422 y Fq(=)1763 1291 y Fe(P)1851 1378 y Fg(j)s Fd(2P)1997 1353 y Fh(f)9 b Fq(\()p Fh(i;)14 b(j)5 b Fq(\))p 1763 1403 452 4 v 1922 1479 a(#)p Ff(P)2225 1422 y Fh(:)523 1637 y Fq(where)27 b Ff(P)34 b Fq(denotes)28 b(the)g(set)f(of)h(self)g(material.)523 1880 y Fi(2.3)95 b(Meta-dynamics)523 2040 y Fq(An)31 b(essen)n(tial)e(asp)r(ect)i(of)f (the)h(imm)n(une)g(system)f(is)g(the)h(constan)n(t)f(adjustmen)n(t)g (of)h(its)523 2140 y(imm)n(une)40 b(rep)r(ertoire,)e(since)i(the)g(div) n(ersit)n(y)e(of)i(the)g(an)n(tigenic)f(en)n(vironmen)n(t)g(is)g(b)n(y) 523 2240 y(far)27 b(sup)r(erior)f(than)i(the)g(recognition)e(capacit)n (y)g(of)h(the)h(imm)n(une)g(system.)f(Therefore,)523 2339 y(b)r(esides)37 b(the)g(v)-5 b(ariation)35 b(in)i(the)g(concen)n (tration)f(of)g(the)h(sp)r(ecies,)g(the)g(imm)n(unologic)523 2439 y(rep)r(ertoire)26 b(is)i(itself)g(dynamic.)f(This)h(phenomenon)f (is)h(referred)e(as)h Fj(meta-dynamics)p Fq(.)648 2538 y(The)k(meta-dynamics)g(of)g(an)g(idiot)n(ypic)g(net)n(w)n(ork)f (consists)h(in)h(the)f(study)h(of)g(the)523 2638 y(top)r(ological)h(v) -5 b(ariations)33 b(induced)i(b)n(y)f(inclusion|)p Fj(r)l(e)l (cruitment)8 b Fq(|and)33 b(exclusion)h(of)523 2738 y(lympho)r(cyte)29 b(sp)r(ecies.)g(The)g(impact)g(in)g(the)h(dynamics)e(includes)h(the)h (c)n(hange)e(of)h(the)523 2837 y(n)n(um)n(b)r(er)i(of)h(equations)f (that)h(describ)r(e)f(the)h(concen)n(tration)f(\015o)n(w)g(and)g(the)h (idiot)n(ypic)523 2937 y(in)n(teractions.)648 3037 y(T)-7 b(o)23 b(exploit)i(this)f(double)g(plasticit)n(y)g(of)h(the)f(imm)n (une)h(system)f(the)h(meta-dynamic)523 3136 y(phase)33 b(should)g(o)r(ccur)f(sparsely)g(when)i(compared)e(to)h(dynamics)g(v)-5 b(ariation.)32 b(Hence,)523 3236 y(p)r(ermitting)23 b(the)g(dynamic)f (system)h(to)f(acquire)f(some)h(stabilit)n(y)h(b)r(efore)f(su\013ering) g(new)523 3335 y(p)r(erturbations)39 b(caused)g(b)n(y)g(the)h(v)-5 b(ariation)39 b(of)h(its)f(p)r(opulation.)h(The)g(stabilisation)523 3435 y(of)32 b(the)g(system)g(is)f(imp)r(ortan)n(t,)h(since)f(it)i (quan)n(titativ)n(ely)e(re\015ects)g(eac)n(h)g(lympho)r(cyte)523 3535 y(sp)r(ecies')26 b(\014tness)g(and)f(the)h(suppression)f(from)g (the)i(idiot)n(ypic)e(net)n(w)n(ork)g(in)h(its)g(concen-)523 3634 y(tration.)523 3734 y Fi(Recruitmen)m(t.)j Fq(The)g(genesis)g(of)g (new)h(lympho)r(cyte)g(sp)r(ecies)f(copies)g(the)h(biological)523 3834 y(pro)r(cesses)24 b(of)i(the)h(imm)n(une)f(system:)g(\(a\))g(b)r (one)g(marro)n(w)e(pro)r(duction)h(and)h(\(b\))h(clonal)523 3933 y(selection.)c(Bone)g(marro)n(w)e(pro)r(duction)i(of)g(lympho)r (cyte)h(sp)r(ecies)f(is)g(sim)n(ulated)g(b)n(y)h(the)523 4033 y(generation)f(of)h(random)f(sequences)h(that)g(represen)n(t)f (their)h(receptors.)f(The)h(goal)f(is)h(to)523 4132 y(main)n(tain)j(a)g (div)n(erse)g(rep)r(ertoire)f(and)i(to)f(unco)n(v)n(er)f(new)i(ev)n (olutionary)d(streams.)648 4232 y(Clonal)38 b(selection,)g(asso)r (ciated)f(with)i(high)g(m)n(utation)f(rates,)g(is)h(an)f(imp)r(ortan)n (t)523 4332 y(mec)n(hanism)23 b(in)g(the)h(plasticit)n(y)f(of)g(the)h (imm)n(une)f(system.)h(W)-7 b(e)23 b(use)g(pro)r(cesses)f(inspired)523 4431 y(in)e(biological)d(pro)r(cedures)h(\(genetic)i(algorithms\))e(to) h(mate)h(and)f(pro)r(duce)g(new)g(sp)r(ecies)523 4531 y(from)j(the)h(imm)n(une)g(rep)r(ertoire,)e(namely)-7 b(,)22 b(selection)g(tec)n(hniques,)h(crosso)n(v)n(er,)c(and)j(m)n(u-) 523 4631 y(tation.)648 4730 y(The)29 b(generation)e(of)i(new)h(sp)r (ecies,)f(either)g(b)n(y)f(random)h(means)f(or)g(using)h(genetic)523 4830 y(op)r(erators,)36 b(aims)i(at)g(the)h(re\014nemen)n(t)f(of)g(the) h(imm)n(une)f(rep)r(ertoire,)f(searc)n(hing)f(for)p eop end %%Page: 5 5 TeXDict begin 5 4 bop 1801 232 a Fn(Computing)26 b(with)g(Idiot)n(ypic) f(Net)n(w)n(orks)237 b(5)523 448 y Fq(new)31 b(sp)r(ecies)f(that)g(are) g(more)g(suitable)g(to)g(cop)r(e)g(with)h(the)g(an)n(tigenic)f(en)n (vironmen)n(t.)523 548 y(The)k(selection)f(b)r(et)n(w)n(een)g(b)r(oth)h (repro)r(duction)f(pro)r(cesses)f(is)i(random,)e(but)j(w)n(e)e(giv)n(e) 523 648 y(priorit)n(y)26 b(to)i(the)g(repro)r(duction)e(using)i (genetic)f(op)r(erators.)648 747 y(New)36 b(lympho)r(cyte)g(sp)r(ecies) f(undergo)g(a)g(maturation)g(phase)h(that)g(\014lters)f(those)523 847 y(that)20 b(are)f(auto-imm)n(une.)g(W)-7 b(e)20 b(test)g(new)g(sp)r (ecies)f(against)g(self)g(material)g(and)h(eliminate)523 946 y(the)28 b(ones)f(that)h(react)f(with)h(self)f(fragmen)n(ts)g (\(mimic)n(king)h(ap)r(optose\).)523 1046 y Fi(Elimination.)k Fq(The)i(elimination)g(of)h(lympho)r(cyte)f(sp)r(ecies)g(allo)n(ws)f (the)i(system)f(to)523 1146 y(disp)r(ose)22 b(sp)r(ecies)g(that)g(w)n (ere)f(o)n(v)n(ercome)f(b)n(y)i(new)g(ones.)f(There)h(are)f(t)n(w)n(o)g (w)n(a)n(ys)g(in)h(whic)n(h)523 1245 y(a)34 b(lympho)r(cyte)h(sp)r (ecies)f(ma)n(y)g(b)r(e)h(eliminated:)g(\(a\))g(it)g(rev)n(eals)e(as)h (auto-imm)n(une)g(or)523 1345 y(\(b\))h(it)g(p)r(ossesses)e(a)g(n)n (ull)i(concen)n(tration.)e(The)h(former)f(mo)r(dels)i(the)f(remo)n (ving)f(\(b)n(y)523 1445 y(ap)r(optose\))26 b(of)g(the)g(agen)n(ts)f (that)h(in)n(terfere)g(with)g(self)h(material.)e(There)h(ma)n(y)f(b)r (e)h(some)523 1544 y(auto-imm)n(une)34 b(agen)n(ts)f(in)h(the)h(p)r (opulation)f(b)r(ecause)f(the)i(recruitmen)n(t)f(phase)f(only)523 1644 y(sho)n(ws)24 b(a)h(fragmen)n(t)f(of)h(self)h(material.)e(So,)h (when)h(w)n(e)e(detect)i(an)f(auto-imm)n(une)g(agen)n(t)523 1743 y(it)j(is)f(remo)n(v)n(ed)f(immediately)h(from)g(the)h(p)r (opulation.)f(The)g(latter)g(con)n(tributes)g(to)g(an)523 1843 y(optimisation)c(in)g(the)h(computational)f(algorithm,)f(since)h (a)g(sp)r(ecies)g(with)g(no)g(\(or)g(v)n(ery)523 1943 y(lo)n(w\))k(concen)n(tration)f(has)h(no)h(in\015uence)g(in)f(the)h (system.)523 2187 y Fk(3)112 b(An)37 b(exp)s(erimen)m(t)i(with)e(the)g (imm)m(une)i(system)523 2365 y Fq(This)19 b(section)f(de\014nes)g(the)h (problem)f(w)n(e)g(w)n(an)n(t)g(to)g(address)g(and)g(explains)g(the)h (decisions)523 2465 y(w)n(e)27 b(made)h(when)f(planning)h(the)g (computer)f(sim)n(ulation.)523 2693 y Fi(3.1)95 b(The)32 b(m)m(useum)e(problem)523 2837 y Fq(The)f(problem)f(w)n(e)h(prop)r(ose) f(is)g(an)h(instance)g(of)f(a)h(class)f(of)h(NP-hard)e(problems)i(that) 523 2937 y(can)e(b)r(e)h(suitable)g(addressed)e(using)h(tec)n(hniques)h (inspired)f(in)h(the)g(imm)n(une)g(system.)648 3037 y(The)20 b Fj(museum)i(pr)l(oblem)28 b Fq(is)21 b(de\014ned)g(as)e(follo)n(ws.)h (Imagine)g(that)h(w)n(e)f(w)n(an)n(t)g(to)g(install)523 3136 y(a)33 b(surv)n(eillance)g(system)g(on)h(a)f(m)n(useum)h(visited)g (regularly)e(b)n(y)i(di\013eren)n(t)f(groups)g(of)523 3236 y(p)r(eople.)28 b(A)h(classical)e(approac)n(h)g(implies)h(the)h (recruitmen)n(t)f(of)g(w)n(ell-trained)g(securit)n(y)523 3335 y(o\016cers,)f(help)r(ed)j(with)f(surv)n(eillance)e(devices)h(suc) 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Fq(sim)n(ulation)i(parameter)f Fh(D)1393 1888 y Fg(d)1431 1876 y Fq(.)i(In)f(the)h(sim)n(ulation)f(w)n(e)g(use)g Fh(D)2466 1888 y Fg(d)2528 1876 y Fq(=)c(4.)k(As)g(for)g(m)n(utation) 523 1975 y(\(\014gure)33 b(2\(b\)\),)h(w)n(e)f(apply)g(it)h(sim)n (ultaneously)f(with)h(crosso)n(v)n(er.)c(When)k(cloning)f(the)523 2075 y(paren)n(t)d(strings)g(w)n(e)g(mak)n(e)g(some)g(\\mistak)n(es")f (and)i(cop)n(y)e(a)i(00)f(as)g(11)f(or)h(vice-v)n(ersa.)523 2175 y(The)40 b(probabilit)n(y)g(of)g(a)g(m)n(utation)g(that)h(w)n(e)f (use)g(is)g(0)p Fh(:)p Fq(02,)f(whic)n(h)i(corresp)r(onds)d(to)523 2274 y(around)28 b(eigh)n(t)h(fragmen)n(ts)f(p)r(er)h(crosso)n(v)n(er.) d(Mutation)j(is)g(needed)h(to)f(bring)f(div)n(ersit)n(y)523 2374 y(to)g(the)f(p)r(opulation.)523 2477 y Fi(Recruitmen)m(t)33 b(tests.)28 b Fq(W)-7 b(e)30 b(run)f(a)g Fj(r)l(e)l(cruitment)g(test)37 b Fq(to)29 b(ev)-5 b(aluate)29 b(the)g(plausibilit)n(y)523 2577 y(of)g(brand)f(new)g(agen)n(ts)g(either)g(in)h(what)g(concerns)e (the)i(recognition)e(of)i(self)g(material)523 2676 y(or)23 b(its)g(acceptance)g(b)n(y)g(the)h(idiot)n(ypic)f(net)n(w)n(ork.)f(W)-7 b(e)23 b(p)r(erform)g(a)g(test)h(similar)f(to)g(what)523 2776 y(happ)r(ens)i(in)h(the)f(th)n(ym)n(us)g(\()p Fj(c.f.)i Fq([BS93)o(]\).)f(So,)f(ev)n(ery)f(time)i(a)e(new)i(agen)n(t)e(is)h (generated)523 2876 y(w)n(e)j(test)g(it)g(against)f(self)h(elemen)n (ts.)g(If)g(the)g(agen)n(t)f(recognises)f(some)h(self)h(material,)f(it) 523 2975 y(fails)22 b(the)h(test)g(and)g(is)f(eliminated.)h(The)g (inclusion)f(of)g(this)h(test)g(impro)n(v)n(ed)e(the)i(results)523 3075 y(w)n(e)k(obtained.)523 3178 y Fi(Elimination)21 b(of)h(agen)m(ts.)e Fq(The)g(elimination)f(of)h(an)g(agen)n(t)f(happ)r (ens)g(when)h(it)h(rev)n(eals)523 3278 y(auto-imm)n(une)k(or)f(when)i (its)f(concen)n(tration)f(falls)i(b)r(elo)n(w)f(some)f(minim)n(um)i (threshold)523 3377 y(\(de\014ned)36 b(b)n(y)g Fh(C)1032 3389 y Fg(min)1196 3377 y Fh(>)g Fq(0\).)f(In)h(an)n(y)f(case,)g(the)h (suppression)e(of)i(some)f(sp)r(ecies)g(from)523 3477 y(the)40 b(idiot)n(ypic)f(net)n(w)n(ork)f(remo)n(v)n(es)f(all)i(the)h (in)n(teraction)e(b)r(oth)i(with)g(the)g(an)n(tigenic)523 3577 y(en)n(vironmen)n(t)27 b(and)g(the)h(idiot)n(ypic)f(net)n(w)n (ork.)523 3844 y Fi(3.3)95 b(The)32 b(imm)m(une)e(algorithm)523 4029 y Fq(The)38 b(imm)n(une)f(algorithm)g(describ)r(es)g(the)g(in)n (terpla)n(y)g(b)r(et)n(w)n(een)g(the)h(dynamics)f(and)523 4129 y(meta-dynamics)43 b(of)g(the)h(system.)g(The)f(algorithm)g(is)g (inspired)g(b)n(y)h(the)g(imm)n(une)523 4228 y(metaphor)29 b(and)g(com)n(bines)g(ideas)h(from)f(the)h(John)f(Holland's)g Fj(classi\014er)k(system)j Fq(de-)523 4328 y(scrib)r(ed)g(in)h([Gol89)n (,Hol75)o(].)g(Moreo)n(v)n(er,)d(F)-7 b(armer)35 b Fj(et)i(al)46 b Fq([FPP86)n(])37 b(settle)f(a)g(parallel)523 4428 y(b)r(et)n(w)n(een) 28 b(the)g(imm)n(une)g(system)f(and)g(the)h(classi\014er)f(system.)648 4531 y(Figure)c(3)g(depicts)h(the)g(imm)n(une)g(algorithm)f(w)n(e)g (use)h(in)g(the)g(sim)n(ulation)g(soft)n(w)n(are.)523 4631 y(There)h(is)g(a)h(generation)e(of)h(an)g(initial)h(p)r(opulation) g(b)r(efore)f(the)h(iterativ)n(e)e(pro)r(cess)h(b)r(e-)523 4730 y(gins,)g(observing)f(the)h(assumptions)g(of)g(the)h(clonal)e (selection)h(and)g(idiot)n(ypic)g(net)n(w)n(ork)523 4830 y(theories.)p eop end %%Page: 9 9 TeXDict begin 9 8 bop 1801 232 a Fn(Computing)26 b(with)g(Idiot)n(ypic) f(Net)n(w)n(orks)237 b(9)p 1267 374 771 4 v 1267 581 4 208 v 1331 496 a(Imm)n(une)25 b(Algorithm)p 2034 581 V 1267 584 771 4 v 702 706 V 702 913 4 208 v 793 828 a(Initial)h(p)r(opulation)p 1469 913 V 702 916 771 4 v 1831 706 754 4 v 1831 913 4 208 v 552 w(Iterativ)n(e)f(pro)r(cess)p 2582 913 V 1831 916 754 4 v 2014 1038 381 4 v 2014 1245 4 208 v 2136 1157 a(step)p 2391 1245 V 2014 1248 381 4 v 1250 1370 422 4 v 1250 1577 4 208 v 1357 1495 a(Meta)1529 1503 y Fo(1)p 1669 1577 V 1250 1580 422 4 v 1715 1370 472 4 v 1715 1577 4 208 v 1789 1492 a Fn(E\016ciency)p 2183 1577 V 1715 1580 472 4 v 2230 1370 V 2230 1577 4 208 v 189 w(Dynamics)p 2698 1577 V 2230 1580 472 4 v 2745 1370 422 4 v 2745 1577 4 208 v 2852 1495 a(Meta)3024 1503 y Fo(2)p 3163 1577 V 2745 1580 422 4 v 1601 639 4 59 v 1079 641 524 4 v 1078 706 4 67 v 1684 639 4 59 v 1685 641 524 4 v 2207 706 4 67 v 2207 1303 4 59 v 1461 1305 1495 4 v 1460 1370 4 67 v 1949 1370 V 2464 1370 V 2954 1370 V 2207 1038 4 125 v 2225 1013 a Fn(G)2333 1129 y(*)p 1209 1743 505 4 v 1209 1951 4 208 v 1316 1873 a(Creation)p 1710 1951 V 1209 1954 505 4 v 2703 1743 V 2703 1951 4 208 v 1154 w(Elimination)p 3205 1951 V 2703 1954 505 4 v 1460 1743 4 167 v 1677 1777 a Fb(d)1478 1702 y Fn(s)h(mo)r(d)f(k)h(=)f(0)p 2954 1743 V 3171 1777 a Fb(d)2516 1702 y Fn(s)g(mo)r(d)h(k)f(=)h(0)745 2150 y Fm(Fig.)14 b(3.)29 b Fn(Mic)n(hael)e(Jac)n(kson's)g(diagram)g (describing)f(the)f(imm)n(une)h(algorithm.)648 2400 y Fq(The)20 b(iterativ)n(e)g(pro)r(cess)g(amoun)n(ts)g(four)h(ma)5 b(jor)19 b(steps.)i(Meta-dynamics)f(is)h(divided)523 2500 y(in)n(to)g Fj(Meta)867 2512 y Fp(1)926 2500 y Fq(and)g Fj(Meta)1263 2512 y Fp(2)1322 2500 y Fq(steps)g(that)g(p)r(erform)g(in) n(tro)r(duction)g(and)g(elimination)g(of)g(new)523 2599 y(sp)r(ecies,)33 b(resp)r(ectiv)n(ely)-7 b(.)32 b(Notice)h(that)h(the)f (meta-dynamics)f(runs)h(only)g(on)g(eac)n(h)f Fh(k)3219 2569 y Fg(th)523 2699 y Fq(step.)i(Pro)r(cesses)e Fj(e\016ciency)42 b Fq(and)34 b Fj(dynamics)42 b Fq(carry)32 b(out,)i(as)f(their)h(names) f(suggest,)523 2799 y(the)28 b(up)r(dating)g(of)f(e\016ciency)h(and)f (of)h(the)g(concen)n(tration)e(of)i(eac)n(h)e(sp)r(ecies.)648 2898 y(This)j(straigh)n(tforw)n(ard)e(algorithm)i(is)h(the)g(core)f(of) h(the)g(sim)n(ulation)f(soft)n(w)n(are)f(w)n(e)523 2998 y(use)f(to)h(test)g(the)g(mo)r(del.)g(Next)g(section)f(presen)n(ts)g (the)g(results.)648 3097 y(The)21 b(pattern)f(learning)g(that)h(to)r (ok)g(place)f(during)h(the)g(training)f(phase)h(is)g(based)f(on)523 3197 y(a)35 b(tec)n(hnique)g(called)g Fj(ne)l(gative)i(sele)l(ction)42 b Fq([FP)-7 b(A)n(C95)o(,D'h95)o(,DFH96,D'h96],)35 b(where)523 3297 y(the)26 b(agen)n(ts)f(that)h(recognise)e(giv)n(en)h(patterns)g (are)g(discarded.)f(Therefore,)h(the)h(agen)n(ts)523 3396 y(are)38 b(trained)h(not)g(to)g(recognise)f(an)n(y)g(self)h (material)g(instead)g(of)g(b)r(eing)g(trained)g(to)523 3496 y(recognise)30 b(non-self)i(material.)g(This)g(tec)n(hnique)g (allo)n(ws)f(for)h(the)g(learning)f(phase)h(to)523 3596 y(b)r(e)c(p)r(erformed)f(in)h(an)g(an)n(tigen)f(free)g(en)n(vironmen)n (t,)g(meaning)h(that,)g(in)g(the)g(case)f(of)g(a)523 3695 y(surv)n(eillance)e(system,)h(the)h(agen)n(ts)e(are)g(trained)h (in)g(their)h(securit)n(y)e(task)h(without)h(the)523 3795 y(presence)g(of)g(in)n(truders.)523 4047 y Fk(4)112 b(Conclusions)523 4232 y Fq(The)38 b(results)f(w)n(e)g(presen)n(t)g (corresp)r(ond)f(to)h(a)g(sim)n(ulation)g(for)g(the)h(parameters)e(de-) 523 4332 y(scrib)r(ed)22 b(ab)r(o)n(v)n(e,)f(with)i(7500)d (meta-dynamic)i(steps.)g(The)h(meta-dynamics)e(only)h(tak)n(es)523 4431 y(place)h(when)h(t)n(w)n(o)f(\(arti\014cial\))h(stabilit)n(y)f (conditions)h(are)e(met:)j(\(a\))f(the)g(maximal)f(v)-5 b(ari-)523 4531 y(ation)20 b(in)g(the)g(concen)n(tration)f(of)h(the)g (sp)r(ecies)g(is)g(inferior)f(to)h(a)f(giv)n(en)h(threshold)f (\(0.001\))523 4631 y(or)27 b(\(2\))g(after)h(a)f(\014nite)h(n)n(um)n (b)r(er)f(of)h(ten)n(tativ)n(es)f(to)g(stabilise)h(the)g(dynamic)f (system.)648 4730 y(W)-7 b(e)32 b(discuss)g(the)h(ev)n(olution)f(and)g (the)h(adaptation)e(of)i(the)f(imm)n(une)h(p)r(opulation)523 4830 y(during)27 b(the)h(training)f(phase,)g(and)h(the)g (classi\014cation)e(abilit)n(y)h(of)h(the)g(p)r(opulation.)p eop end %%Page: 10 10 TeXDict begin 10 9 bop 523 232 a Fn(10)199 b(Martins)27 b(and)e(Slani)523 448 y Fi(4.1)95 b(Analysis)31 b(of)g(the)h(imm)m(une) f(rep)s(ertoire)523 618 y Fq(The)40 b(imm)n(une)h(rep)r(ertoire)d (starts)h(with)i(150)e(lympho)r(cyte)h(sp)r(ecies)g(and)g(stabilises) 523 717 y(around)26 b(90)h(sp)r(ecies.)g(The)g(existence)g(of)g(an)g 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JcC<$JcC`0J,~> JcC<$JcC`0J,~> JcC<$JcC`0J,~> JcC<$JcC`0J,~> JcC<$JcC`0J,~> JcC<$JcC`0J,~> JcC<$JcC`0J,~> JcC<$JcC`0J,~> JcC<$JcC`0J,~> %%EndData showpage %%Trailer end %%EOF %%EndDocument @endspecial 1334 2365 a Fm(Fig.)14 b(4.)29 b Fn(Non-self)d (recognition)h(rates.)648 2642 y Fq(As)k(time)h(passes,)f(the)h (classi\014cation)e(of)i(the)g(non-self)f(material)g(increases.)f(The) 523 2742 y(qualitativ)n(e)i(ev)n(olution)g(of)g(the)h(rep)r(ertoire)f (is)g(in)n(teresting)g(in)h(the)g(class)f([10],)g(whic)n(h)523 2841 y(con)n(tains)d(the)i(same)e(n)n(um)n(b)r(er)h(of)g(relev)-5 b(an)n(t)29 b(p)r(oin)n(ts)h(as)g(the)g(n)n(um)n(b)r(er)g(of)g (visitors.)f(The)523 2941 y(\014gure)k(rev)n(eals)e(a)i(v)n(ery)f(go)r (o)r(d)h(ev)n(olution)f(in)i(the)g(selection)e(of)i(the)f(adequate)g(p) r(opu-)523 3040 y(lation.)h(Notice)h(that)g(the)g(results)f(for)g (recognition)f(of)h(non-self)h(material)e(are)h(near)523 3140 y(100\045)26 b(for)i(all)f(the)h(an)n(tigenic)f(space.)648 3246 y(As)e(an)h(o)n(v)n(erall)e(w)n(e)h(conclude)h(that)g(the)g(mo)r (del)g(is)g(suited)g(for)f(NP-hard)g(problems)523 3346 y(with)38 b(this)g(kind)g(of)g(con\014guration.)e(Both)h(the)h (qualitativ)n(e)f(and)h(the)g(quan)n(titativ)n(e)523 3446 y(b)r(eha)n(viours)33 b(allo)n(w)f(us)i(to)g(conclude)g(that)g(it) h(is)e(p)r(ossible)h(to)g(select)g(a)f(stable)h(set)g(of)523 3545 y(arti\014cial)24 b(agen)n(ts)g(that)h(co)n(v)n(ers)e(an)h(an)n (tigenic)g(space,)h(in)g(the)g(presen)n(t)f(case)g(a)h(m)n(useum)523 3645 y(exhibition,)34 b(and)f(that)h(w)n(e)f(are)f(able)i(to)f (distinguish)g(b)r(et)n(w)n(een)h(normal)e(b)r(eha)n(viours)523 3745 y(\(the)c(guided)g(tour)f(to)g(the)h(m)n(useum\))g(and)g(an)n(y)f (non)g(plausible)g(b)r(eha)n(viour.)523 4044 y Fk(References)523 4268 y Fn([AN87])42 b(Gordon)24 b(L.)f(Ada)f(e)h(Sir)g(Gusta)n(v)g (Nossal.)31 b(The)24 b(clonal-selection)h(theory)-6 b(.)29 b Fl(Scienti\014c)624 4360 y(A)n(meric)l(an)p Fn(,)e(257\(2\):50{57,)i (1987.)523 4458 y([BS93])43 b(Hugues)21 b(Bersini)h(e)f(Gregory)h (Seron)n(t.)k(Optimizing)c(with)f(the)f(imm)n(une)h(recruitmen)n(t)624 4549 y(mec)n(hanism.)53 b(T)-6 b(ec)n(h.)32 b(rep)r(ort)f (TR/IRIDIA/93-6,)h(Institut)f(de)g(Rec)n(herc)n(hes)g(In)n(terdisci-) 624 4640 y(plinaires)c(et)f(de)f(D)n(\023)-36 b(ev)n(elopp)r(emen)n(ts) 25 b(en)h(In)n(telligence)g(Arti\014cielle,)h(1993.)523 4739 y([Bur59])43 b(F)-6 b(rank)29 b(MacF)-6 b(arlane)31 b(Burnet.)47 b Fl(The)31 b(Clonal)g(Sele)l(ction)h(The)l(ory)h(of)d(A)l (c)l(quir)l(e)l(d)j(Im-)624 4830 y(munity)p Fn(.)i(V)-6 b(anderbilt)25 b(Univ)n(ersit)n(y)f(Press,)j(Nash)n(ville,)g(T)-6 b(ennessee,)26 b(1959.)p eop end %%Page: 12 12 TeXDict begin 12 11 bop 523 232 a Fn(12)199 b(Martins)27 b(and)e(Slani)523 448 y([DFH96])42 b(P)n(atrik)26 b(D'haeseleer,)h (Stephanie)e(F)-6 b(orrest)25 b(e)h(P)n(aul)f(Helman.)34 b(An)25 b(imm)n(unological)624 540 y(approac)n(h)k(to)f(c)n(hange)h (detection:)f(Algorithms,)i(analysis)f(and)f(implications.)44 b(In)27 b Fl(IEEE)624 631 y(Symp)l(osium)h(on)g(R)l(ese)l(ar)l(ch)h(in) f(Se)l(curity)h(and)f(Privacy)p Fn(,)e(1996.)523 722 y([D'h95])43 b(P)n(atrik)32 b(D'haeseleer.)55 b(A)31 b(c)n(hange-detection)h(metho)r(d)g(inspired)g(b)n(y)f(the)h(imm)n(une) 624 814 y(system:)f(Theory)-6 b(,)30 b(algorithms)i(and)d(tec)n (hniques.)47 b(T)-6 b(ec)n(h.)30 b(rep)r(ort)g(CS95-6,)h(Departmen)n(t) 624 905 y(of)c(Computer)f(Science,)g(Univ)n(ersit)n(y)e(of)j(New)f (Mexico,)h(1995.)523 996 y([D'h96])43 b(P)n(atrik)24 b(D'haeseleer.)32 b(An)23 b(imm)n(unological)j(approac)n(h)e(to)g(c)n (hange)g(detection:)g(The-)624 1088 y(oretical)35 b(results.)55 b(In)32 b Fl(The)j(9th)f(IEEE)g(Computer)h(Se)l(curity)g(F)-6 b(oundations)36 b(Workshop)p Fn(,)624 1179 y(Dromquinna)25 b(Manor,)i(Coun)n(t)n(y)e(Kerry)-6 b(,)25 b(Ireland,)h(1996.)523 1270 y([FP)-6 b(A)n(C95])43 b(Stephanie)18 b(F)-6 b(orrest,)19 b(Alan)g(S.)f(P)n(erelson,)i(La)n(wrence)g(Allen)e(e)h(Ra)t(jesh)g (Cherukuri.)624 1362 y(A)28 b(c)n(hange-detection)h(algorithm)g 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Fn(edition,)g(1975.)523 2183 y([Jer55])44 b(N.K.)18 b(Jerne.)k(The)c(natural)h(selection)g(theory)f(of)g(an)n(tib)r(o)r(dy) g(formation.)23 b Fl(Pr)l(o)l(c)l(e)l(e)l(dings)624 2275 y(of)k(the)i(National)f(A)l(c)l(ademy)g(of)f(Scienc)l(es)i(USA)p Fn(,)d(41:849{856,)k(1955.)523 2366 y([Jer74])44 b(N.K.)30 b(Jerne.)48 b(T)-6 b(o)n(w)n(ards)31 b(a)f(net)n(w)n(ork)g(theory)g(of) h(the)e(imm)n(une)h(system.)48 b Fl(A)n(nn.)31 b(Im-)624 2457 y(munol.)c(\(Inst.)h(Pasteur\))p Fn(,)g(125\(C\):373{389,)j(1974.) 523 2549 y([Mar00])44 b(F)-6 b(rancisco)20 b(Martins.)k(Computation)19 b(with)g(the)f(Imm)n(une)g(System.)23 b(Masters)d(thesis,)624 2640 y(Univ)n(ersidade)26 b(dos)g(A\030)-34 b(cores,)26 b(2000.)p eop end %%Trailer userdict /end-hook known{end-hook}if %%EOF