4 Misc_Start 4 Platform @
x H H L Xg( H H ( d h 1 0 IGOR ' H H X L L 9 ~
com.apple.print.PageFormat.PMHorizontalRes
com.apple.print.ticket.creator
com.apple.printingmanager
com.apple.print.ticket.itemArray
com.apple.print.PageFormat.PMHorizontalRes
72
com.apple.print.ticket.client
com.apple.printingmanager
com.apple.print.ticket.modDate
2007-08-09T02:08:54Z
com.apple.print.ticket.stateFlag
0
com.apple.print.PageFormat.PMOrientation
com.apple.print.ticket.creator
com.apple.printingmanager
com.apple.print.ticket.itemArray
com.apple.print.PageFormat.PMOrientation
1
com.apple.print.ticket.client
com.apple.printingmanager
com.apple.print.ticket.modDate
2003-03-09T23:47:12Z
com.apple.print.ticket.stateFlag
0
com.apple.print.PageFormat.PMScaling
com.apple.print.ticket.creator
com.apple.printingmanager
com.apple.print.ticket.itemArray
com.apple.print.PageFormat.PMScaling
1
com.apple.print.ticket.client
com.apple.printingmanager
com.apple.print.ticket.modDate
2003-03-09T23:47:12Z
com.apple.print.ticket.stateFlag
0
com.apple.print.PageFormat.PMVerticalRes
com.apple.print.ticket.creator
com.apple.printingmanager
com.apple.print.ticket.itemArray
com.apple.print.PageFormat.PMVerticalRes
72
com.apple.print.ticket.client
com.apple.printingmanager
com.apple.print.ticket.modDate
2007-08-09T02:08:54Z
com.apple.print.ticket.stateFlag
0
com.apple.print.PageFormat.PMVerticalScaling
com.apple.print.ticket.creator
com.apple.printingmanager
com.apple.print.ticket.itemArray
com.apple.print.PageFormat.PMVerticalScaling
1
com.apple.print.ticket.client
com.apple.printingmanager
com.apple.print.ticket.modDate
2003-03-09T23:47:12Z
com.apple.print.ticket.stateFlag
0
com.apple.print.subTicket.paper_info_ticket
com.apple.print.PageFormat.PMAdjustedPageRect
com.apple.print.ticket.creator
com.apple.printingmanager
com.apple.print.ticket.itemArray
com.apple.print.PageFormat.PMAdjustedPageRect
0.0
0.0
768
588
com.apple.print.ticket.client
com.apple.printingmanager
com.apple.print.ticket.modDate
2007-08-09T02:08:54Z
com.apple.print.ticket.stateFlag
0
com.apple.print.PageFormat.PMAdjustedPaperRect
com.apple.print.ticket.creator
com.apple.printingmanager
com.apple.print.ticket.itemArray
com.apple.print.PageFormat.PMAdjustedPaperRect
-12
-12
780
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com.apple.print.ticket.client
com.apple.printingmanager
com.apple.print.ticket.modDate
2007-08-09T02:08:54Z
com.apple.print.ticket.stateFlag
0
com.apple.print.PaperInfo.PMConstrainedPaper
com.apple.print.ticket.creator
CUPS_CPL
com.apple.print.ticket.itemArray
com.apple.print.PaperInfo.PMConstrainedPaper
com.apple.print.ticket.client
CUPS_CPL
com.apple.print.ticket.modDate
2007-08-08T22:30:37Z
com.apple.print.ticket.stateFlag
1
com.apple.print.PaperInfo.PMPaperName
com.apple.print.ticket.creator
CUPS_CPL
com.apple.print.ticket.itemArray
com.apple.print.PaperInfo.PMPaperName
8 1/2x11
com.apple.print.ticket.client
CUPS_CPL
com.apple.print.ticket.modDate
2007-08-08T22:30:37Z
com.apple.print.ticket.stateFlag
1
com.apple.print.PaperInfo.PMUnadjustedPageRect
com.apple.print.ticket.creator
CUPS_CPL
com.apple.print.ticket.itemArray
com.apple.print.PaperInfo.PMUnadjustedPageRect
0.0
0.0
768
588
com.apple.print.ticket.client
CUPS_CPL
com.apple.print.ticket.modDate
2007-08-08T22:30:37Z
com.apple.print.ticket.stateFlag
1
com.apple.print.PaperInfo.PMUnadjustedPaperRect
com.apple.print.ticket.creator
CUPS_CPL
com.apple.print.ticket.itemArray
com.apple.print.PaperInfo.PMUnadjustedPaperRect
-12
-12
780
600
com.apple.print.ticket.client
CUPS_CPL
com.apple.print.ticket.modDate
2007-08-08T22:30:37Z
com.apple.print.ticket.stateFlag
1
com.apple.print.PaperInfo.ppd.PMPaperName
com.apple.print.ticket.creator
CUPS_CPL
com.apple.print.ticket.itemArray
com.apple.print.PaperInfo.ppd.PMPaperName
8.5x11
com.apple.print.ticket.client
CUPS_CPL
com.apple.print.ticket.modDate
2007-08-08T22:30:37Z
com.apple.print.ticket.stateFlag
1
com.apple.print.ticket.APIVersion
00.20
com.apple.print.ticket.privateLock
com.apple.print.ticket.type
com.apple.print.PaperInfoTicket
com.apple.print.ticket.APIVersion
00.20
com.apple.print.ticket.privateLock
com.apple.print.ticket.type
com.apple.print.PageFormatTicket
com.apple.print.PrintSettings.PMColorMode
com.apple.print.ticket.creator
com.apple.printingmanager
com.apple.print.ticket.itemArray
com.apple.print.PrintSettings.PMColorMode
1
com.apple.print.ticket.client
com.apple.printingmanager
com.apple.print.ticket.modDate
2003-03-09T23:47:12Z
com.apple.print.ticket.stateFlag
0
com.apple.print.PrintSettings.PMCopies
com.apple.print.ticket.creator
com.apple.printingmanager
com.apple.print.ticket.itemArray
com.apple.print.PrintSettings.PMCopies
1
com.apple.print.ticket.client
com.apple.printingmanager
com.apple.print.ticket.modDate
2003-03-09T23:47:12Z
com.apple.print.ticket.stateFlag
0
com.apple.print.PrintSettings.PMDestinationType
com.apple.print.ticket.creator
com.apple.printingmanager
com.apple.print.ticket.itemArray
com.apple.print.PrintSettings.PMDestinationType
1
com.apple.print.ticket.client
com.apple.printingmanager
com.apple.print.ticket.modDate
2003-03-09T23:47:12Z
com.apple.print.ticket.stateFlag
0
com.apple.print.PrintSettings.PMFirstPage
com.apple.print.ticket.creator
com.apple.printingmanager
com.apple.print.ticket.itemArray
com.apple.print.PrintSettings.PMFirstPage
1
com.apple.print.ticket.client
com.apple.printingmanager
com.apple.print.ticket.modDate
2003-03-09T23:47:12Z
com.apple.print.ticket.stateFlag
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com.apple.print.PrintSettings.PMLastPage
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com.apple.printingmanager
com.apple.print.ticket.itemArray
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2147483647
com.apple.print.ticket.client
com.apple.printingmanager
com.apple.print.ticket.modDate
2003-03-09T23:47:12Z
com.apple.print.ticket.stateFlag
0
com.apple.print.PrintSettings.PMPageRange
com.apple.print.ticket.creator
com.apple.printingmanager
com.apple.print.ticket.itemArray
com.apple.print.PrintSettings.PMPageRange
1
2147483647
com.apple.print.ticket.client
com.apple.printingmanager
com.apple.print.ticket.modDate
2003-03-09T23:47:12Z
com.apple.print.ticket.stateFlag
0
com.apple.print.ticket.APIVersion
00.20
com.apple.print.ticket.privateLock
com.apple.print.ticket.type
com.apple.print.PrintSettingsTicket
x H H (Fg( H H ( d h .@ . IGOR ' H HF ( ( ~ ^
com.apple.print.PageFormat.PMHorizontalRes
com.apple.print.ticket.creator
com.apple.printingmanager
com.apple.print.ticket.itemArray
com.apple.print.PageFormat.PMHorizontalRes
7.200000000000000e+01
com.apple.print.ticket.client
com.apple.printingmanager
com.apple.print.ticket.modDate
2003-03-09T23:47:12Z
com.apple.print.ticket.stateFlag
0
com.apple.print.PageFormat.PMOrientation
com.apple.print.ticket.creator
com.apple.printingmanager
com.apple.print.ticket.itemArray
com.apple.print.PageFormat.PMOrientation
1
com.apple.print.ticket.client
com.apple.printingmanager
com.apple.print.ticket.modDate
2003-03-09T23:47:12Z
com.apple.print.ticket.stateFlag
0
com.apple.print.PageFormat.PMScaling
com.apple.print.ticket.creator
com.apple.printingmanager
com.apple.print.ticket.itemArray
com.apple.print.PageFormat.PMScaling
1.000000000000000e+00
com.apple.print.ticket.client
com.apple.printingmanager
com.apple.print.ticket.modDate
2003-03-09T23:47:12Z
com.apple.print.ticket.stateFlag
0
com.apple.print.PageFormat.PMVerticalRes
com.apple.print.ticket.creator
com.apple.printingmanager
com.apple.print.ticket.itemArray
com.apple.print.PageFormat.PMVerticalRes
7.200000000000000e+01
com.apple.print.ticket.client
com.apple.printingmanager
com.apple.print.ticket.modDate
2003-03-09T23:47:12Z
com.apple.print.ticket.stateFlag
0
com.apple.print.PageFormat.PMVerticalScaling
com.apple.print.ticket.creator
com.apple.printingmanager
com.apple.print.ticket.itemArray
com.apple.print.PageFormat.PMVerticalScaling
1.000000000000000e+00
com.apple.print.ticket.client
com.apple.printingmanager
com.apple.print.ticket.modDate
2003-03-09T23:47:12Z
com.apple.print.ticket.stateFlag
0
com.apple.print.subTicket.paper_info_ticket
com.apple.print.PageFormat.PMAdjustedPageRect
com.apple.print.ticket.creator
com.apple.printingmanager
com.apple.print.ticket.itemArray
com.apple.print.PageFormat.PMAdjustedPageRect
0.000000000000000e+00
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7.300000000000000e+02
5.520000000000000e+02
com.apple.print.ticket.client
com.apple.printingmanager
com.apple.print.ticket.modDate
2003-03-09T23:47:12Z
com.apple.print.ticket.stateFlag
0
com.apple.print.PageFormat.PMAdjustedPaperRect
com.apple.print.ticket.creator
com.apple.printingmanager
com.apple.print.ticket.itemArray
com.apple.print.PageFormat.PMAdjustedPaperRect
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7.610000000000000e+02
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com.apple.print.ticket.client
com.apple.printingmanager
com.apple.print.ticket.modDate
2003-03-09T23:47:12Z
com.apple.print.ticket.stateFlag
0
com.apple.print.PaperInfo.PMMatchPaper
com.apple.print.ticket.creator
com.apple.printingmanager
com.apple.print.ticket.itemArray
com.apple.print.PaperInfo.PMMatchPaper
com.apple.print.ticket.client
com.apple.printingmanager
com.apple.print.ticket.modDate
2003-03-09T23:47:12Z
com.apple.print.ticket.stateFlag
0
com.apple.print.PaperInfo.PMUnadjustedPageRect
com.apple.print.ticket.creator
com.apple.printingmanager
com.apple.print.ticket.itemArray
com.apple.print.PaperInfo.PMUnadjustedPageRect
0.000000000000000e+00
0.000000000000000e+00
7.300000000000000e+02
5.520000000000000e+02
com.apple.print.ticket.client
com.apple.printingmanager
com.apple.print.ticket.modDate
2003-03-09T23:47:12Z
com.apple.print.ticket.stateFlag
0
com.apple.print.PaperInfo.PMUnadjustedPaperRect
com.apple.print.ticket.creator
com.apple.printingmanager
com.apple.print.ticket.itemArray
com.apple.print.PaperInfo.PMUnadjustedPaperRect
-3.100000000000000e+01
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7.610000000000000e+02
5.820000000000000e+02
com.apple.print.ticket.client
com.apple.printingmanager
com.apple.print.ticket.modDate
2003-03-09T23:47:12Z
com.apple.print.ticket.stateFlag
0
com.apple.print.ticket.APIVersion
00.20
com.apple.print.ticket.privateLock
com.apple.print.ticket.type
com.apple.print.PaperInfoTicket
com.apple.print.ticket.APIVersion
00.20
com.apple.print.ticket.privateLock
com.apple.print.ticket.type
com.apple.print.PageFormatTicket
com.apple.print.PrintSettings.PMColorMode
com.apple.print.ticket.creator
com.apple.printingmanager
com.apple.print.ticket.itemArray
com.apple.print.PrintSettings.PMColorMode
1
com.apple.print.ticket.client
com.apple.printingmanager
com.apple.print.ticket.modDate
2003-03-09T23:47:12Z
com.apple.print.ticket.stateFlag
0
com.apple.print.PrintSettings.PMCopies
com.apple.print.ticket.creator
com.apple.printingmanager
com.apple.print.ticket.itemArray
com.apple.print.PrintSettings.PMCopies
1
com.apple.print.ticket.client
com.apple.printingmanager
com.apple.print.ticket.modDate
2003-03-09T23:47:12Z
com.apple.print.ticket.stateFlag
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com.apple.print.PrintSettings.PMDestinationType
com.apple.print.ticket.creator
com.apple.printingmanager
com.apple.print.ticket.itemArray
com.apple.print.PrintSettings.PMDestinationType
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com.apple.print.ticket.client
com.apple.printingmanager
com.apple.print.ticket.modDate
2003-03-09T23:47:12Z
com.apple.print.ticket.stateFlag
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com.apple.print.PrintSettings.PMFirstPage
com.apple.print.ticket.creator
com.apple.printingmanager
com.apple.print.ticket.itemArray
com.apple.print.PrintSettings.PMFirstPage
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com.apple.print.ticket.client
com.apple.printingmanager
com.apple.print.ticket.modDate
2003-03-09T23:47:12Z
com.apple.print.ticket.stateFlag
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com.apple.print.PrintSettings.PMLastPage
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com.apple.print.ticket.itemArray
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2147483647
com.apple.print.ticket.client
com.apple.printingmanager
com.apple.print.ticket.modDate
2003-03-09T23:47:12Z
com.apple.print.ticket.stateFlag
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com.apple.print.PrintSettings.PMPageRange
com.apple.print.ticket.creator
com.apple.printingmanager
com.apple.print.ticket.itemArray
com.apple.print.PrintSettings.PMPageRange
1
2147483647
com.apple.print.ticket.client
com.apple.printingmanager
com.apple.print.ticket.modDate
2003-03-09T23:47:12Z
com.apple.print.ticket.stateFlag
0
com.apple.print.ticket.APIVersion
00.20
com.apple.print.ticket.privateLock
com.apple.print.ticket.type
com.apple.print.PrintSettingsTicket
x H H (Fg( H H ( d h .@ . IGOR ' H HF ( ( ~ ^
com.apple.print.PageFormat.PMHorizontalRes
com.apple.print.ticket.creator
com.apple.printingmanager
com.apple.print.ticket.itemArray
com.apple.print.PageFormat.PMHorizontalRes
7.200000000000000e+01
com.apple.print.ticket.client
com.apple.printingmanager
com.apple.print.ticket.modDate
2003-03-09T23:47:12Z
com.apple.print.ticket.stateFlag
0
com.apple.print.PageFormat.PMOrientation
com.apple.print.ticket.creator
com.apple.printingmanager
com.apple.print.ticket.itemArray
com.apple.print.PageFormat.PMOrientation
1
com.apple.print.ticket.client
com.apple.printingmanager
com.apple.print.ticket.modDate
2003-03-09T23:47:12Z
com.apple.print.ticket.stateFlag
0
com.apple.print.PageFormat.PMScaling
com.apple.print.ticket.creator
com.apple.printingmanager
com.apple.print.ticket.itemArray
com.apple.print.PageFormat.PMScaling
1.000000000000000e+00
com.apple.print.ticket.client
com.apple.printingmanager
com.apple.print.ticket.modDate
2003-03-09T23:47:12Z
com.apple.print.ticket.stateFlag
0
com.apple.print.PageFormat.PMVerticalRes
com.apple.print.ticket.creator
com.apple.printingmanager
com.apple.print.ticket.itemArray
com.apple.print.PageFormat.PMVerticalRes
7.200000000000000e+01
com.apple.print.ticket.client
com.apple.printingmanager
com.apple.print.ticket.modDate
2003-03-09T23:47:12Z
com.apple.print.ticket.stateFlag
0
com.apple.print.PageFormat.PMVerticalScaling
com.apple.print.ticket.creator
com.apple.printingmanager
com.apple.print.ticket.itemArray
com.apple.print.PageFormat.PMVerticalScaling
1.000000000000000e+00
com.apple.print.ticket.client
com.apple.printingmanager
com.apple.print.ticket.modDate
2003-03-09T23:47:12Z
com.apple.print.ticket.stateFlag
0
com.apple.print.subTicket.paper_info_ticket
com.apple.print.PageFormat.PMAdjustedPageRect
com.apple.print.ticket.creator
com.apple.printingmanager
com.apple.print.ticket.itemArray
com.apple.print.PageFormat.PMAdjustedPageRect
0.000000000000000e+00
0.000000000000000e+00
7.300000000000000e+02
5.520000000000000e+02
com.apple.print.ticket.client
com.apple.printingmanager
com.apple.print.ticket.modDate
2003-03-09T23:47:12Z
com.apple.print.ticket.stateFlag
0
com.apple.print.PageFormat.PMAdjustedPaperRect
com.apple.print.ticket.creator
com.apple.printingmanager
com.apple.print.ticket.itemArray
com.apple.print.PageFormat.PMAdjustedPaperRect
-3.100000000000000e+01
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7.610000000000000e+02
5.820000000000000e+02
com.apple.print.ticket.client
com.apple.printingmanager
com.apple.print.ticket.modDate
2003-03-09T23:47:12Z
com.apple.print.ticket.stateFlag
0
com.apple.print.PaperInfo.PMMatchPaper
com.apple.print.ticket.creator
com.apple.printingmanager
com.apple.print.ticket.itemArray
com.apple.print.PaperInfo.PMMatchPaper
com.apple.print.ticket.client
com.apple.printingmanager
com.apple.print.ticket.modDate
2003-03-09T23:47:12Z
com.apple.print.ticket.stateFlag
0
com.apple.print.PaperInfo.PMUnadjustedPageRect
com.apple.print.ticket.creator
com.apple.printingmanager
com.apple.print.ticket.itemArray
com.apple.print.PaperInfo.PMUnadjustedPageRect
0.000000000000000e+00
0.000000000000000e+00
7.300000000000000e+02
5.520000000000000e+02
com.apple.print.ticket.client
com.apple.printingmanager
com.apple.print.ticket.modDate
2003-03-09T23:47:12Z
com.apple.print.ticket.stateFlag
0
com.apple.print.PaperInfo.PMUnadjustedPaperRect
com.apple.print.ticket.creator
com.apple.printingmanager
com.apple.print.ticket.itemArray
com.apple.print.PaperInfo.PMUnadjustedPaperRect
-3.100000000000000e+01
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7.610000000000000e+02
5.820000000000000e+02
com.apple.print.ticket.client
com.apple.printingmanager
com.apple.print.ticket.modDate
2003-03-09T23:47:12Z
com.apple.print.ticket.stateFlag
0
com.apple.print.ticket.APIVersion
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com.apple.print.ticket.privateLock
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00.20
com.apple.print.ticket.privateLock
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com.apple.print.PageFormatTicket
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com.apple.printingmanager
com.apple.print.ticket.itemArray
com.apple.print.PrintSettings.PMColorMode
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com.apple.print.ticket.client
com.apple.printingmanager
com.apple.print.ticket.modDate
2003-03-09T23:47:12Z
com.apple.print.ticket.stateFlag
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com.apple.print.PrintSettings.PMCopies
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com.apple.print.ticket.client
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com.apple.print.ticket.modDate
2003-03-09T23:47:12Z
com.apple.print.ticket.stateFlag
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com.apple.print.ticket.client
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com.apple.print.ticket.modDate
2003-03-09T23:47:12Z
com.apple.print.ticket.stateFlag
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com.apple.print.ticket.client
com.apple.printingmanager
com.apple.print.ticket.modDate
2003-03-09T23:47:12Z
com.apple.print.ticket.stateFlag
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com.apple.print.ticket.client
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2003-03-09T23:47:12Z
com.apple.print.ticket.stateFlag
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2147483647
com.apple.print.ticket.client
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2003-03-09T23:47:12Z
com.apple.print.ticket.stateFlag
0
com.apple.print.ticket.APIVersion
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com.apple.print.ticket.privateLock
com.apple.print.ticket.type
com.apple.print.PrintSettingsTicket
x
H H (Fg( H H ( d h .@ .
IGOR ' H HF ( ( ~ ^
com.apple.print.PageFormat.PMHorizontalRes
com.apple.print.ticket.creator
com.apple.printingmanager
com.apple.print.ticket.itemArray
com.apple.print.PageFormat.PMHorizontalRes
7.200000000000000e+01
com.apple.print.ticket.client
com.apple.printingmanager
com.apple.print.ticket.modDate
2003-03-09T23:47:12Z
com.apple.print.ticket.stateFlag
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com.apple.print.PageFormat.PMOrientation
com.apple.print.ticket.creator
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com.apple.print.ticket.client
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com.apple.print.ticket.modDate
2003-03-09T23:47:12Z
com.apple.print.ticket.stateFlag
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com.apple.print.ticket.creator
com.apple.printingmanager
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1.000000000000000e+00
com.apple.print.ticket.client
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com.apple.print.ticket.modDate
2003-03-09T23:47:12Z
com.apple.print.ticket.stateFlag
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com.apple.print.ticket.creator
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com.apple.print.PageFormat.PMVerticalRes
7.200000000000000e+01
com.apple.print.ticket.client
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com.apple.print.ticket.modDate
2003-03-09T23:47:12Z
com.apple.print.ticket.stateFlag
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com.apple.print.ticket.client
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2003-03-09T23:47:12Z
com.apple.print.ticket.stateFlag
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m d WMT0IGR0 Instructions Notebook0 Notebook0:Instructions K? 9 H H L Xg( H H ( d h 5 5 $ Normal
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B H H H H $ $ Z 4 This experiment provides a simulation of the two state crossbridge model of muscle as proposed by Sir Andrew Huxley in 1957. (Progress in Biophysics and Biophysical Chemistry, vol 7, p255-318)
The rate constant curves are set from Huxley's fitted variables in the Rate Constants window. "f" is the rate constant for attachment, and "g" is the rate constant for detachment. The basic equation then is dn/dt=f*(1-n)-g*n, where n is a function of x, representing the probability of cross-bridges with a distortion x being attached. A menu item in Macros sets these to Huxley's values. Other functions can be entered from the command line, and will only be overwritten if the parameters in the Rate Constants window are changed. Another Macro modifies the detachment rate constant for large crossbridge extensions, to reduce tension during stretch, which is higher in the Huuxley model than in real muscle. This has no effect on isometric or shortening performance.
The progress window is the main controller. The Go button causes the simulation to run up to the "Stop at" time. You can then change the conditions, increment "Stop at" and resume the simulation. The tension variable is used only for Isotonic contractions, and the velocity variable for isokinetic contractions. Reset can set the attachment distribution to zero (relaxed) or to the steady sate isometric distribution.
"Power out" is the mechanical work done by the muscle. "Power in" is the rate of detachment of crossbridges, scaled to match the power out units. Z " * 8 @ Geneva d
TEXTIGR0 " dWindows Windows #pragma rtGlobals=1 // Use modern global access method.
Window RateConsts() : Graph
PauseUpdate; Silent 1 // building window...
Display /W=(5,42,400,250) f,g as "rate constants"
Modify lStyle(f)=1,lStyle(g)=3
Label bottom "x (h)"
Legend/J /A=MC/X=4.50161/Y=23.5669 "\s(f) f\r\s(g) g"
EndMacro
Window Distribution() : Graph
PauseUpdate; Silent 1 // building window...
Display /W=(244,62,639,270) n as "Distribution"
Modify mode=4
Modify marker=19
Modify msize=1
SetAxis left 0,1
EndMacro
Window progress() : Graph
PauseUpdate; Silent 1 // building window...
Display /W=(11,50,514,320) tension,stiffness vs times as "Progress"
Append /R length vs times
Modify marker(stiffness)=8,marker(length)=13
Modify lStyle(stiffness)=1,lStyle(length)=3
Modify msize=2
Label left "Tension, Stiffness"
Label bottom "Time"
Label right "Length change (h/hs)"
SetAxis left 0,1
Legend/J /A=MC/X=-24.8344/Y=30.9677 "\s(tension) tension\r\s(stiffness) stiffness"
AppendText "\s(length) length"
EndMacro
Window Tesion_contributions() : Graph
PauseUpdate; Silent 1 // building window...
Display /W=(5,42,400,250) nx
EndMacro
Window Progress_Table() : Table
PauseUpdate; Silent 1 // building window...
Edit /W=(5,42,432,251) tension.y,stiffness.y,times.y,length.y
Modify width(Point)=64
EndMacro
R H
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R W R MPSR WMT1 * Cf8 LCgt Cg // Platform=Macintosh, IGORVersion=6.020, architecture=PowerPC
Silent 101 // use | as bitwise or -- not comment.
DefaultFont "Geneva"
MoveWindow/P 340,111,881,652
OpenProc/W=(5,44,505,339)/J=164311/V=0 "Windows"
MoveWindow/C 14,547,508,691
progress()
RateConsts()
Distribution()
Tension_contributions()
Powers()
OpenNotebook/N=Notebook0/W=(331,222,831,517)/J=161634 "Instructions"
Window Powers() : Graph
PauseUpdate; Silent 1 // building window...
Display /W=(13,339,504,526) PowerOut vs times as "Powers"
AppendToGraph PowerIn vs times
ModifyGraph rgb(PowerIn)=(0,0,65535)
Legend/C/N=text0/J/F=0/A=MC/X=-34.41/Y=28.66 "\\s(PowerOut) PowerOut\r\\s(PowerIn) PowerIn"
EndMacro
Window Tension_contributions() : Graph
PauseUpdate; Silent 1 // building window...
Display /W=(544,419,971,574) nx as "Tension Contributions:nx"
Cursor/P A nx 293
EndMacro
Window Distribution() : Graph
PauseUpdate; Silent 1 // building window...
Display /W=(546,245,969,396) n as "Distribution"
ModifyGraph mode=4
ModifyGraph marker=19
ModifyGraph msize=1
Label left "Probability of attachment"
SetAxis left 0,1
EndMacro
Window RateConsts() : Graph
PauseUpdate; Silent 1 // building window...
Display /W=(547,44,970,220) f,g as "rate constants"
ModifyGraph lStyle(f)=1,lStyle(g)=3
Label left "Rates (/s)"
Label bottom "x (h)"
Legend/C/N=text0/J/A=MC/X=4.50/Y=23.57 "\\s(f) f\r\\s(g) g"
ControlBar 25
SetVariable setvar0,pos={6,4},size={120,15},proc=SetRates,title="g1/(f1+g1)"
SetVariable setvar0,limits={0.02,10,0.02},value= g1overf1plusg1
SetVariable g1,pos={132,4},size={62,15},proc=SetRates,title="g1",value= g1
SetVariable g2over,pos={202,4},size={120,15},proc=SetRates,title="g2/(f1+g1)"
SetVariable g2over,value= g2overf1plusg1
SetVariable setvar1,pos={332,4},size={89,15},proc=SetRates,title="w/e"
SetVariable setvar1,value= wovere
EndMacro
Window progress() : Graph
PauseUpdate; Silent 1 // building window...
Display /W=(14,44,543,316) tension,stiffness vs times as "Progress"
AppendToGraph/R length vs times
ModifyGraph marker(stiffness)=8,marker(length)=13
ModifyGraph lStyle(stiffness)=1,lStyle(length)=3
ModifyGraph rgb(stiffness)=(3,52428,1),rgb(length)=(0,0,65535)
ModifyGraph msize=2
Label left "Tension, Stiffness"
Label bottom "Time"
Label right "Length change (h/hs)"
Cursor/P A length 10
Legend/C/N=text0/J/A=MC/X=-34.16/Y=39.12 "\\s(tension) tension\r\\s(stiffness) stiffness\r\\s(length) length"
ShowTools/A
ControlBar 25
PopupMenu reset,pos={7,1},size={59,20},proc=Reset,title="Reset"
PopupMenu reset,mode=0,value= #"\"Relaxed;Isometric\""
PopupMenu State,pos={71,1},size={106,20},proc=SetState,title="State"
PopupMenu State,mode=1,popvalue="Isometric",value= #"\"Isometric;Isokinetic;Isotonic\""
SetVariable StopT,pos={389,5},size={80,15},title="Stop at"
SetVariable StopT,limits={-inf,inf,0.1},value= StopT
Button Go,pos={472,2},size={50,20},proc=Go,title="Go"
SetVariable Velocity,pos={181,5},size={122,15},title="Velocity(h/hs/s)"
SetVariable Velocity,help={"Units of h per half-sarcomere per second"}
SetVariable Velocity,value= Velocity
SetVariable IsoTen,pos={306,5},size={80,15},title="Tension"
SetVariable IsoTen,help={"Units of h per half-sarcomere per second"}
SetVariable IsoTen,limits={-inf,inf,0.05},value= IsoTen
EndMacro
//Set of macros to simulate the original Huxley model.
//Generates stiffness as well as force
//All lengths are in units of Huxley's h
//Energetics added
Macro SetHuxleyRates()
g1overf1plusg1=0.1875
g1=10
g2overf1plusg1=3.91
wovere=0.75 //Only used for energetics
SetRates("",0,"","") //Call SetVariableControl to generate rates as finctions of x
End
Macro IncreaseDetachmentAtLargex()
//Modifies the detachment rate constant for large crossbridge extensions, to reduce tension during stretch
//Has no effect on isometric or shortening performance
g=g+200*(x-2)*(x>2)
End
Function SetRates(ctrlName,varNum,varStr,varName) : SetVariableControl
String ctrlName
Variable varNum
String varStr
String varName
WAVE f,g
NVAR f1, g1, g2, g1overf1plusg1, g2overf1plusg1
f1=g1*(1-g1overf1plusg1)/g1overf1plusg1
g2=g2overf1plusg1*(f1+g1)
make /o /n=301 /o n=0, nx=0,dndt,tempn,f,g //Set resolution of distribution waves
SetScale x -2,4,"h", n,nx,dndt,tempn,f,g //Set range of distribution waves
f=f1*x*(x>0)*(x<=1) //Attachment rate constant
g=g2*(x<0)+g1*x*(x>0) //Detachment rate constant
End
Function SetState(ctrlName,popNum,popStr) : PopupMenuControl
String ctrlName //From State menu
Variable popNum
String popStr
NVAR State
State=popnum //1 for Isometric, 2 for Isokinetic, 3 for Isotonic
End
Function Reset(ctrlName,popNum,popStr) : PopupMenuControl
String ctrlName
Variable popNum
String popStr
WAVE Tension, Stiffness, Times, Length, PowerIn, PowerOut //Output waves
WAVE n //distribution of attached bridges
NVAR PntNum //Global counter for output waves
tension=0;stiffness=0;times=NaN;length=0;PowerIn=0; PowerOut=0
pntnum=0
Times[0]=0
If(Popnum==1) //relaxed
n=0 //All bridges detached.
Print "Reset to all bridges detached"
Else //Isometric
NVAR f1,g1
n=(f1/(f1+g1))*(x>0)*(x<=1) //Solution for steady state
FindTenStif() //Get moments from distribution
Print "Reset to the steady state isometric condition"
EndIf
End
Function Go(ctrlName) : ButtonControl
String ctrlName
WAVE n, Times
WAVE Tension, Length, PowerOut
NVAR PntNum, StopT, State
Variable PlotInterval, Overflow //Time interval per plotted point
switch(State)
case 1: // Isometric
PlotInterval=0.01 //Suitable value for Huxley parameters
Print "Isometric till",StopT
do
If ((Times[PntNum]+PlotInterval)-StopT>0) //If proposed time step overshoots stop time....
PlotInterval=StopT-Times[PntNum] +0.0001 //...reduce interval
EndIf
IncPntNum(PlotInterval) //Increment the output wave counter and time and check for overflow
Timelapse(PlotInterval) //Let distribution evolve
length[pntnum]=length[pntnum-1] //Preserve length. units of h
PowerOut[pntnum]=0 // No work done in isometric
FindTenStif() //Get moments from distribution
DoUpdate //Redraw graphs
while ((Times[PntNum]0.01) //If very slow, including zero...
PlotInterval=0.01 //Keep interval reasonable
EndIf
Print "isokinetic with velocity of ",Velocity, "h/hs/s till",StopT
do
If ((Times[PntNum]+PlotInterval)-StopT>0) //If proposed time step overshoots stop time....
PlotInterval=StopT-Times[PntNum] +0.0001 //...reduce interval
EndIf
IncPntNum(PlotInterval) //Increment the output wave counter and time and check for overflow
Shiftx(Velocity*PlotInterval) //Shift the distribution,usually by 1
timelapse(PlotInterval) //Let distribution evolve
FindTenStif() //Get tension and stiffness from new distribution
PowerOut[pntnum]=-Tension[pntnum]*Velocity //mechanical power output
DoUpdate //Update plots
while ((Times[PntNum]0) //Remove any negative values from overshooting dettachment
Step+=1 //Next substep
while(Step<(steps+.5))
PowerIn[PntNum]=DetachRate/WoverE //Convert detachments to units of work
end
Function IncPntNum(PlotInterval) //Increment point counter for output waves
Variable PlotInterval
NVAR PntNum, StopT
WAVE Times
If(PntNum<(numpnts(Times)-1)) //Room for more points
PntNum=PntNum+1
times[pntnum]=times[pntnum-1]+PlotInterval //Increment time
Else
DoAlert 0, "You have exceeded the allowable record length. Please take any measurements that you need from the windows, and then do a reset before continuing"
Times[pntNum]=StopT+0.1
EndIf
End
Function FindTenStif()
WAVE n, nx, tempn //Distribution waves
WAVE Tension, Stiffness , PowerIn //Recording waves
NVAR PntNum //PntNum is a global variable so that it persists beyonf the end of a timeinterval
nx=n*x
Integrate nx
tension[pntnum]=nx[numpnts(n)]-nx[0] //Units of kh per myosin head
tempn=n
integrate Tempn
stiffness[pntnum]=Tempn[numpnts(n)]-Tempn[0] //units of k per myosin
End
Function Shiftx(dx) //Shift distribution. dx in units of h
Variable dx //Distance to shift distribution, +ve to right
WAVE n, TempN
WAVE Length, Tension, PowerOut
NVAR PntNum //Global counter for output waves
TempN=n //Need to store in TempN to avoid zeros on right shift
n=Tempn(x-dx)
length[pntnum]=length[pntnum-1]+dx //Update length. units of h
End