fa997d6cd7df67553e4dc83b18f2927f pmc_29200499.pdf ab1c87c1879308452def1741b314f4a44802b81b pmc_29200499.pdf df3e95315e06bec04a600adb477e49ff0b50a73e32911e5a118de3953c98414e pmc_29200499.pdf Title: Coarse-graining and hybrid methods for efficient simulation of stochastic multi-scale models of tumour growth Subject: Journal of Computational Physics, 350 (2017) 974–991. 10.1016/j.jcp.2017.09.019 Author: Roberto de la Cruz Creator: Elsevier Producer: Acrobat Distiller 9.5.5 (Windows) CreationDate: Fri Sep 29 15:33:22 2017 CEST ModDate: Fri Sep 29 15:33:22 2017 CEST Tagged: yes UserProperties: no Suspects: no Form: none JavaScript: no Pages: 18 Encrypted: no Page size: 544.252 x 742.677 pts Page rot: 0 File size: 940240 bytes Optimized: yes PDF version: 1.7 name type encoding emb sub uni object ID ------------------------------------ ----------------- ---------------- --- --- --- --------- DBAEBH+Gulliver Type 1C Custom yes yes yes 880 0 DBAEDH+Univers Type 1C WinAnsi yes yes no 881 0 DBAEDI+Helvetica Type 1C WinAnsi yes yes no 882 0 DBAEFI+MTMI Type 1C Custom yes yes yes 883 0 DBAEFJ+MTSYN Type 1C Custom yes yes yes 884 0 DBAEFK+Gulliver-Italic Type 1C Custom yes yes yes 885 0 DBAEFL+GulliverSCOsF Type 1C Custom yes yes yes 906 0 DBAEGM+Symbol Type 1C Custom yes yes yes 912 0 DBAEHM+Gulliver-Bold Type 1C Custom yes yes yes 339 0 DBAFHH+CMSY7 Type 1C Custom yes yes yes 360 0 DBAFHI+CMSY5 Type 1C Custom yes yes yes 355 0 DBAFII+MTEX Type 1C Custom yes yes yes 350 0 DBAFJJ+CMSY9 Type 1C Custom yes yes yes 345 0 DBAFMJ+CMSY6 Type 1C Custom yes yes yes 365 0 DBAFMK+MSBM7 Type 1C Custom yes yes yes 369 0 Jhove (Rel. 1.6, 2011-01-04) Date: 2018-04-20 04:56:08 CEST RepresentationInformation: pmc_29200499.pdf ReportingModule: PDF-hul, Rel. 1.8 (2009-05-22) LastModified: 2018-02-08 07:40:11 CET Size: 940240 Format: PDF Version: 1.7 Status: Well-Formed and valid SignatureMatches: PDF-hul MIMEtype: application/pdf Profile: Linearized PDF PDFMetadata: Objects: 962 FreeObjects: 280 IncrementalUpdates: 1 DocumentCatalog: PageLayout: SinglePage PageMode: UseOutlines Language: en Outlines: Item: Title: Coarse-graining and hybrid methods for efficient simulation of stochastic multi-scale models of tumour growth Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@11028347 Children: Item: Title: 1 Introduction Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@14899482 Item: Title: 2 Summary of the stochastic multi-scale model Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@21588809 Children: Item: Title: 2.1 General setting Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@2aae9190 Item: Title: 2.2 Resource layer: dynamics of diffusible substances Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@2f333739 Item: Title: 2.3 Intracellular layer: oxygen-dependent birth rate Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@77468bd9 Item: Title: 2.4 Cellular scale: age-structured birth-and-death with diffusion Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@12bb4df8 Item: Title: 2.5 Linking scales together Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@4cc77c2e Item: Title: 3 Separation of time scales and coarse-graining of the age structure Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@7a7b0070 Children: Item: Title: 3.1 Mean-field model Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@39a054a5 Children: Item: Title: 3.1.1 Early evolution Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@71bc1ae4 Item: Title: 3.1.2 Intermediate regime Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@6ed3ef1 Item: Title: 3.1.3 Long-time behaviour Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@2437c6dc Item: Title: 3.1.4 Coarse-grained mean-field description Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@1f89ab83 Item: Title: 3.2 Stochastic system Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@e73f9ac Children: Item: Title: 3.2.1 Early evolution Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@61064425 Item: Title: 3.2.2 Intermediate regime Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@7b1d7fff Item: Title: 3.2.3 Long-time behaviour Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@299a06ac Item: Title: 3.2.4 Stochastic coarse-grained model Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@383534aa Item: Title: 4 Hybrid method for stochastic multi-scale models of tumour growth Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@6bc168e5 Children: Item: Title: 4.1 Coupling the mean-field and the stochastic models at the interface: fluxes, reactions and age-structure at the interface Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@7b3300e5 Item: Title: 4.2 Moving the interface Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@2e5c649 Item: Title: 5 Assessing the accuracy of the coarse-grained and hybrid descriptions: travelling wave solutions Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@136432db Item: Title: 6 Discussion and conclusions Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@7382f612 Item: Title: Acknowledgements Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@1055e4af Item: Title: Appendix A Supplementary material Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@3caeaf62 Item: Title: References Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@e6ea0c6 Info: Title: Coarse-graining and hybrid methods for efficient simulation of stochastic multi-scale models of tumour growth Author: Roberto de la Cruz Subject: Journal of Computational Physics, 350 (2017) 974 991. 10.1016/j.jcp.2017.09.019 Creator: Elsevier Producer: Acrobat Distiller 9.5.5 (Windows) CreationDate: Fri Sep 29 15:33:22 CEST 2017 ModDate: Fri Sep 29 15:33:22 CEST 2017 ID: 0x104393048f2feaca8d0dccebfbf3507d, 0xc89e6347584a0146aa76a854e914d224 Filters: FilterPipeline: FlateDecode FilterPipeline: DCTDecode Images: Image: NisoImageMetadata: CompressionScheme: JPEG ImageWidth: 236 ImageHeight: 298 ColorSpace: RGB BitsPerSample: 8 BitsPerSampleUnit: integer Image: NisoImageMetadata: CompressionScheme: JPEG ImageWidth: 246 ImageHeight: 272 ColorSpace: RGB BitsPerSample: 8 BitsPerSampleUnit: integer Image: NisoImageMetadata: CompressionScheme: JPEG ImageWidth: 90 ImageHeight: 89 ColorSpace: RGB BitsPerSample: 8 BitsPerSampleUnit: integer Image: NisoImageMetadata: ImageWidth: 8 ImageHeight: 34 BitsPerSample: 8 BitsPerSampleUnit: integer Filter: FlateDecode Image: NisoImageMetadata: CompressionScheme: JPEG ImageWidth: 1918 ImageHeight: 917 ColorSpace: RGB BitsPerSample: 8 BitsPerSampleUnit: integer Fonts: Type1: Font: BaseFont: DBAFHI+CMSY5 FontSubset: true FirstChar: 76 LastChar: 76 FontDescriptor: FontName: DBAFHI+CMSY5 Flags: Symbolic, Italic FontBBox: 20, -944, 1448, 791 FontFile3: true EncodingDictionary: Differences: true ToUnicode: true Font: BaseFont: DBAFHH+CMSY7 FontSubset: true FirstChar: 76 LastChar: 83 FontDescriptor: FontName: DBAFHH+CMSY7 Flags: Symbolic, Italic FontBBox: -15, -951, 1251, 782 FontFile3: true EncodingDictionary: Differences: true ToUnicode: true Font: BaseFont: DBAEFL+GulliverSCOsF FontSubset: true FirstChar: 97 LastChar: 116 FontDescriptor: FontName: DBAEFL+GulliverSCOsF Flags: Serif, Symbolic FontBBox: -115, -251, 1407, 986 FontFile3: true EncodingDictionary: Differences: true ToUnicode: true Font: BaseFont: DBAFMJ+CMSY6 FontSubset: true FirstChar: 76 LastChar: 76 FontDescriptor: FontName: DBAFMJ+CMSY6 Flags: Symbolic, Italic FontBBox: -4, -948, 1329, 786 FontFile3: true EncodingDictionary: Differences: true ToUnicode: true Font: BaseFont: DBAEGM+Symbol FontSubset: true FirstChar: 2 LastChar: 2 FontDescriptor: FontName: DBAEGM+Symbol Flags: Symbolic FontBBox: -180, -293, 1090, 1010 FontFile3: true EncodingDictionary: Differences: true ToUnicode: true Font: BaseFont: DBAEBH+Gulliver FontSubset: true FirstChar: 2 LastChar: 246 FontDescriptor: FontName: DBAEBH+Gulliver Flags: Serif, Symbolic FontBBox: -115, -251, 1042, 986 FontFile3: true EncodingDictionary: Differences: true ToUnicode: true Font: BaseFont: DBAEDH+Univers FontSubset: true FirstChar: 46 LastChar: 119 FontDescriptor: FontName: DBAEDH+Univers Flags: Nonsymbolic FontBBox: -168, -250, 992, 947 FontFile3: true Encoding: WinAnsiEncoding Font: BaseFont: DBAFMK+MSBM7 FontSubset: true FirstChar: 2 LastChar: 2 FontDescriptor: FontName: DBAFMK+MSBM7 Flags: Symbolic FontBBox: 77, 3, 814, 615 FontFile3: true EncodingDictionary: Differences: true ToUnicode: true Font: BaseFont: DBAEDI+Helvetica FontSubset: true FirstChar: 32 LastChar: 32 FontDescriptor: FontName: DBAEDI+Helvetica Flags: Nonsymbolic FontBBox: -166, -225, 1000, 931 FontFile3: true Encoding: WinAnsiEncoding Font: BaseFont: DBAEFI+MTMI FontSubset: true FirstChar: 2 LastChar: 62 FontDescriptor: FontName: DBAEFI+MTMI Flags: Serif, Symbolic, Italic FontBBox: 0, -213, 987, 680 FontFile3: true EncodingDictionary: Differences: true ToUnicode: true Font: BaseFont: DBAEHM+Gulliver-Bold FontSubset: true FirstChar: 45 LastChar: 121 FontDescriptor: FontName: DBAEHM+Gulliver-Bold Flags: Serif, Symbolic, ForceBold FontBBox: -150, -250, 1131, 998 FontFile3: true EncodingDictionary: Differences: true ToUnicode: true Font: BaseFont: DBAEFJ+MTSYN FontSubset: true FirstChar: 2 LastChar: 215 FontDescriptor: FontName: DBAEFJ+MTSYN Flags: Symbolic FontBBox: 0, -954, 1043, 900 FontFile3: true EncodingDictionary: Differences: true ToUnicode: true Font: BaseFont: DBAEFK+Gulliver-Italic FontSubset: true FirstChar: 40 LastChar: 242 FontDescriptor: FontName: DBAEFK+Gulliver-Italic Flags: Serif, Symbolic, Italic FontBBox: -141, -232, 1053, 972 FontFile3: true EncodingDictionary: Differences: true ToUnicode: true Font: BaseFont: DBAFJJ+CMSY9 FontSubset: true FirstChar: 76 LastChar: 83 FontDescriptor: FontName: DBAFJJ+CMSY9 Flags: Symbolic, Italic FontBBox: -29, -958, 1146, 777 FontFile3: true EncodingDictionary: Differences: true ToUnicode: true Font: BaseFont: DBAFII+MTEX FontSubset: true FirstChar: 2 LastChar: 21 FontDescriptor: FontName: DBAFII+MTEX Flags: Symbolic FontBBox: 20, -2954, 1365, 46 FontFile3: true EncodingDictionary: Differences: true ToUnicode: true XMP: application/pdf doi:10.1016/j.jcp.2017.09.019 Coarse-graining and hybrid methods for efficient simulation of stochastic multi-scale models of tumour growth Roberto de la Cruz Pilar Guerrero Juan Calvo Tomás Alarcón Multi-scale modelling Hybrid methods Age-structured model Reaction–diffusion systems Tumour growth Journal of Computational Physics, 350 (2017) 974–991. 10.1016/j.jcp.2017.09.019 Elsevier Inc. journal Journal of Computational Physics © 2017 The Authors. Published by Elsevier Inc. 0021-9991 350 974-991 974 991 10.1016/j.jcp.2017.09.019 http://dx.doi.org/10.1016/j.jcp.2017.09.019 2017-12-01 1 December 2017 2010-04-23 true 10.1016/j.jcp.2017.09.019 elsevier.com sciencedirect.com VoR 10.1016/j.jcp.2017.09.019 noindex 2010-04-23 true 6.5 elsevier.com sciencedirect.com Elsevier 2017-09-29T16:33:22+03:00 2017-09-29T16:33:22+03:00 2017-09-29T16:33:22+03:00 True Acrobat Distiller 9.5.5 (Windows) uuid:bd8db47b-ea36-42be-aba6-2111b3cd72a9 uuid:3ba54a2d-dcd8-4c21-bc37-ed6e09e6af8d http://creativecommons.org/licenses/by/4.0/ Pages: Page: Label: 974 Sequence: 1 Annotations: Annotation: Subtype: Link Rect: 200, 709, 363, 717 Annotation: Subtype: Link Rect: 306, 681, 358, 691 Annotation: Subtype: Link Rect: 229, 626, 337, 635 Annotation: Subtype: Link Rect: 142, 538, 149, 548 Destination: 843 Annotation: Subtype: Link Rect: 150, 538, 156, 548 Destination: 843 Annotation: Subtype: Link Rect: 232, 538, 238, 548 Destination: 843 Annotation: Subtype: Link Rect: 296, 538, 303, 548 Destination: 843 Annotation: Subtype: Link Rect: 382, 538, 388, 548 Destination: 843 Annotation: Subtype: Link Rect: 389, 538, 395, 548 Destination: 843 Annotation: Subtype: Link Rect: 396, 538, 403, 548 Destination: 843 Annotation: Subtype: Link Rect: 404, 538, 409, 548 Destination: 843 Annotation: Subtype: Link Rect: 410, 531, 416, 548 Destination: 843 Annotation: Subtype: Link Rect: 364, 157, 511, 166 Annotation: Subtype: Link Rect: 111, 90, 167, 98 Annotation: Subtype: Link Rect: 210, 90, 262, 98 Annotation: Subtype: Link Rect: 48, 74, 174, 81 Annotation: Subtype: Link Rect: 51, 57, 181, 64 Annotation: Subtype: Link Rect: 458, 565, 515, 586 Page: Label: 975 Sequence: 2 Annotations: Annotation: Subtype: Link Rect: 378, 611, 468, 620 Destination: 220 Annotation: Subtype: Link Rect: 198, 579, 439, 589 Destination: 220 Annotation: Subtype: Link Rect: 203, 548, 315, 558 Destination: 220 Annotation: Subtype: Link Rect: 261, 516, 289, 526 Destination: 262 Annotation: Subtype: Link Rect: 464, 464, 503, 474 Destination: 262 Annotation: Subtype: Link Rect: 270, 422, 343, 432 Destination: 220 Annotation: Subtype: Link Rect: 460, 359, 495, 369 Destination: 262 Annotation: Subtype: Link Rect: 241, 349, 258, 359 Destination: 262 Annotation: Subtype: Link Rect: 139, 318, 180, 327 Destination: 220 Annotation: Subtype: Link Rect: 252, 244, 347, 254 Destination: 262 Annotation: Subtype: Link Rect: 404, 234, 421, 244 Destination: 262 Annotation: Subtype: Link Rect: 363, 223, 391, 233 Destination: 262 Annotation: Subtype: Link Rect: 231, 87, 237, 97 Destination: 18 Annotation: Subtype: Link Rect: 281, 77, 298, 87 Destination: 220 Annotation: Subtype: Link Rect: 331, 77, 338, 87 Destination: 90 Page: Label: 976 Sequence: 3 Annotations: Annotation: Subtype: Link Rect: 183, 393, 205, 401 Destination: 262 Annotation: Subtype: Link Rect: 169, 336, 189, 346 Destination: 142 Annotation: Subtype: Link Rect: 237, 336, 243, 346 Destination: 162 Annotation: Subtype: Link Rect: 251, 325, 268, 335 Destination: 262 Annotation: Subtype: Link Rect: 228, 315, 234, 325 Destination: 171 Annotation: Subtype: Link Rect: 207, 294, 224, 303 Destination: 220 Annotation: Subtype: Link Rect: 287, 262, 293, 272 Destination: 212 Annotation: Subtype: Link Rect: 295, 194, 312, 204 Destination: 220 Annotation: Subtype: Link Rect: 355, 173, 377, 182 Destination: 18 Annotation: Subtype: Link Rect: 409, 130, 426, 140 Destination: 220 Annotation: Subtype: Link Rect: 499, 130, 516, 140 Destination: 220 Annotation: Subtype: Link Rect: 105, 67, 127, 77 Destination: 18 Annotation: Subtype: Link Rect: 48, 56, 65, 66 Destination: 220 Page: Label: 977 Sequence: 4 Annotations: Annotation: Subtype: Link Rect: 75, 367, 132, 377 Destination: 262 Annotation: Subtype: Link Rect: 275, 241, 292, 251 Destination: 262 Annotation: Subtype: Link Rect: 44, 230, 61, 240 Destination: 262 Annotation: Subtype: Link Rect: 328, 184, 351, 194 Destination: 18 Annotation: Subtype: Link Rect: 320, 130, 333, 140 Destination: 37 Annotation: Subtype: Link Rect: 353, 130, 376, 140 Destination: 37 Annotation: Subtype: Link Rect: 145, 109, 157, 119 Destination: 37 Annotation: Subtype: Link Rect: 367, 109, 384, 119 Destination: 262 Page: Label: 978 Sequence: 5 Annotations: Annotation: Subtype: Link Rect: 108, 640, 121, 650 Destination: 220 Annotation: Subtype: Link Rect: 145, 598, 175, 608 Destination: 262 Annotation: Subtype: Link Rect: 468, 587, 485, 597 Destination: 262 Annotation: Subtype: Link Rect: 333, 556, 350, 566 Destination: 262 Annotation: Subtype: Link Rect: 331, 482, 376, 492 Destination: 220 Annotation: Subtype: Link Rect: 400, 450, 412, 460 Destination: 220 Annotation: Subtype: Link Rect: 504, 440, 516, 450 Destination: 220 Annotation: Subtype: Link Rect: 159, 429, 175, 439 Destination: 220 Annotation: Subtype: Link Rect: 405, 408, 429, 418 Destination: 220 Annotation: Subtype: Link Rect: 469, 237, 482, 247 Destination: 220 Annotation: Subtype: Link Rect: 499, 237, 516, 247 Destination: 220 Annotation: Subtype: Link Rect: 136, 227, 153, 237 Destination: 220 Annotation: Subtype: Link Rect: 58, 150, 87, 160 Destination: 69 Annotation: Subtype: Link Rect: 403, 150, 420, 160 Destination: 220 Annotation: Subtype: Link Rect: 173, 140, 190, 149 Destination: 220 Annotation: Subtype: Link Rect: 483, 140, 505, 149 Destination: 69 Page: Label: 979 Sequence: 6 Annotations: Annotation: Subtype: Link Rect: 314, 667, 328, 675 Destination: 220 Annotation: Subtype: Link Rect: 492, 658, 511, 666 Destination: 37 Annotation: Subtype: Link Rect: 97, 335, 126, 345 Destination: 69 Annotation: Subtype: Link Rect: 354, 264, 384, 273 Destination: 69 Annotation: Subtype: Link Rect: 483, 253, 496, 263 Destination: 51 Annotation: Subtype: Link Rect: 325, 232, 337, 242 Destination: 51 Annotation: Subtype: Link Rect: 301, 179, 313, 189 Destination: 51 Annotation: Subtype: Link Rect: 332, 179, 344, 189 Destination: 69 Annotation: Subtype: Link Rect: 284, 109, 307, 119 Destination: 18 Annotation: Subtype: Link Rect: 498, 77, 510, 87 Destination: 69 Annotation: Subtype: Link Rect: 108, 56, 121, 66 Destination: 51 Page: Label: 980 Sequence: 7 Annotations: Annotation: Subtype: Link Rect: 309, 684, 321, 694 Destination: 37 Annotation: Subtype: Link Rect: 86, 529, 120, 539 Destination: 262 Annotation: Subtype: Link Rect: 320, 529, 333, 539 Destination: 69 Annotation: Subtype: Link Rect: 468, 445, 485, 455 Destination: 220 Annotation: Subtype: Link Rect: 396, 314, 408, 324 Destination: 51 Annotation: Subtype: Link Rect: 122, 294, 134, 303 Destination: 90 Annotation: Subtype: Link Rect: 137, 294, 154, 303 Destination: 90 Annotation: Subtype: Link Rect: 65, 67, 82, 76 Destination: 90 Annotation: Subtype: Link Rect: 99, 67, 117, 76 Destination: 90 Annotation: Subtype: Link Rect: 374, 67, 391, 76 Destination: 90 Page: Label: 981 Sequence: 8 Annotations: Annotation: Subtype: Link Rect: 216, 593, 234, 603 Destination: 90 Annotation: Subtype: Link Rect: 148, 582, 165, 592 Destination: 90 Annotation: Subtype: Link Rect: 222, 441, 239, 451 Destination: 220 Annotation: Subtype: Link Rect: 458, 409, 475, 419 Destination: 90 Annotation: Subtype: Link Rect: 495, 409, 512, 419 Destination: 90 Annotation: Subtype: Link Rect: 227, 398, 244, 407 Destination: 90 Annotation: Subtype: Link Rect: 123, 273, 140, 283 Destination: 102 Annotation: Subtype: Link Rect: 160, 273, 177, 283 Destination: 102 Annotation: Subtype: Link Rect: 422, 221, 439, 230 Destination: 220 Annotation: Subtype: Link Rect: 340, 210, 358, 220 Destination: 102 Annotation: Subtype: Link Rect: 375, 210, 392, 220 Destination: 102 Annotation: Subtype: Link Rect: 441, 143, 453, 153 Destination: 69 Annotation: Subtype: Link Rect: 231, 133, 247, 143 Destination: 262 Page: Label: 982 Sequence: 9 Annotations: Annotation: Subtype: Link Rect: 219, 631, 236, 641 Destination: 102 Annotation: Subtype: Link Rect: 163, 621, 181, 631 Destination: 102 Annotation: Subtype: Link Rect: 310, 559, 328, 569 Destination: 102 Annotation: Subtype: Link Rect: 346, 559, 364, 569 Destination: 102 Annotation: Subtype: Link Rect: 66, 549, 83, 559 Destination: 90 Annotation: Subtype: Link Rect: 86, 549, 103, 559 Destination: 90 Annotation: Subtype: Link Rect: 134, 375, 146, 384 Destination: 90 Annotation: Subtype: Link Rect: 487, 375, 500, 384 Destination: 51 Annotation: Subtype: Link Rect: 287, 354, 299, 364 Destination: 90 Annotation: Subtype: Link Rect: 175, 323, 187, 333 Destination: 69 Annotation: Subtype: Link Rect: 336, 323, 381, 333 Destination: 262 Annotation: Subtype: Link Rect: 279, 190, 302, 200 Destination: 69 Page: Label: 983 Sequence: 10 Annotations: Annotation: Subtype: Link Rect: 58, 555, 75, 565 Destination: 117 Annotation: Subtype: Link Rect: 203, 400, 226, 410 Destination: 220 Annotation: Subtype: Link Rect: 203, 329, 220, 339 Destination: 117 Annotation: Subtype: Link Rect: 238, 329, 255, 339 Destination: 117 Annotation: Subtype: Link Rect: 350, 329, 373, 339 Destination: 220 Annotation: Subtype: Link Rect: 74, 198, 91, 208 Destination: 131 Annotation: Subtype: Link Rect: 111, 198, 128, 208 Destination: 131 Annotation: Subtype: Link Rect: 316, 134, 333, 144 Destination: 117 Annotation: Subtype: Link Rect: 350, 134, 367, 144 Destination: 117 Page: Label: 984 Sequence: 11 Annotations: Annotation: Subtype: Link Rect: 78, 597, 95, 607 Destination: 131 Annotation: Subtype: Link Rect: 113, 597, 130, 607 Destination: 142 Annotation: Subtype: Link Rect: 383, 597, 400, 607 Destination: 142 Annotation: Subtype: Link Rect: 327, 555, 355, 564 Destination: 220 Annotation: Subtype: Link Rect: 294, 524, 314, 533 Destination: 131 Annotation: Subtype: Link Rect: 104, 513, 121, 523 Destination: 117 Annotation: Subtype: Link Rect: 124, 513, 141, 523 Destination: 117 Annotation: Subtype: Link Rect: 116, 471, 128, 481 Destination: 69 Annotation: Subtype: Link Rect: 146, 471, 163, 481 Destination: 142 Annotation: Subtype: Link Rect: 78, 353, 97, 362 Destination: 131 Annotation: Subtype: Link Rect: 151, 332, 168, 342 Destination: 262 Annotation: Subtype: Link Rect: 352, 274, 369, 284 Destination: 102 Annotation: Subtype: Link Rect: 48, 264, 76, 274 Destination: 262 Annotation: Subtype: Link Rect: 93, 253, 110, 263 Destination: 142 Annotation: Subtype: Link Rect: 213, 253, 230, 263 Destination: 142 Annotation: Subtype: Link Rect: 74, 189, 91, 199 Destination: 142 Annotation: Subtype: Link Rect: 126, 56, 143, 66 Destination: 142 Annotation: Subtype: Link Rect: 442, 56, 454, 66 Destination: 51 Page: Label: 985 Sequence: 12 Annotations: Annotation: Subtype: Link Rect: 96, 642, 113, 652 Destination: 262 Annotation: Subtype: Link Rect: 187, 424, 204, 434 Destination: 142 Annotation: Subtype: Link Rect: 443, 404, 460, 413 Destination: 220 Annotation: Subtype: Link Rect: 448, 393, 465, 403 Destination: 220 Annotation: Subtype: Link Rect: 111, 279, 128, 289 Destination: 262 Annotation: Subtype: Link Rect: 282, 227, 299, 237 Destination: 262 Annotation: Subtype: Link Rect: 331, 143, 348, 153 Destination: 262 Page: Label: 986 Sequence: 13 Annotations: Annotation: Subtype: Link Rect: 69, 663, 86, 673 Destination: 262 Annotation: Subtype: Link Rect: 263, 600, 280, 610 Destination: 142 Annotation: Subtype: Link Rect: 139, 527, 156, 537 Destination: 162 Annotation: Subtype: Link Rect: 219, 454, 236, 463 Destination: 162 Annotation: Subtype: Link Rect: 158, 318, 175, 327 Destination: 142 Annotation: Subtype: Link Rect: 163, 234, 191, 244 Destination: 262 Annotation: Subtype: Link Rect: 406, 223, 434, 233 Destination: 220 Annotation: Subtype: Link Rect: 448, 192, 470, 202 Destination: 183 Annotation: Subtype: Link Rect: 364, 140, 387, 150 Destination: 183 Annotation: Subtype: Link Rect: 384, 98, 407, 108 Destination: 198 Page: Label: 987 Sequence: 14 Annotations: Annotation: Subtype: Link Rect: 238, 489, 244, 497 Destination: 171 Annotation: Subtype: Link Rect: 313, 141, 331, 148 Destination: 183 Annotation: Subtype: Link Rect: 296, 77, 315, 87 Destination: 102 Annotation: Subtype: Link Rect: 333, 77, 352, 87 Destination: 131 Annotation: Subtype: Link Rect: 408, 77, 425, 87 Destination: 142 Annotation: Subtype: Link Rect: 233, 67, 250, 76 Destination: 117 Annotation: Subtype: Link Rect: 449, 67, 466, 76 Destination: 142 Annotation: Subtype: Link Rect: 58, 56, 75, 66 Destination: 142 Annotation: Subtype: Link Rect: 324, 56, 341, 66 Destination: 142 Page: Label: 988 Sequence: 15 Annotations: Annotation: Subtype: Link Rect: 397, 210, 411, 218 Destination: 142 Annotation: Subtype: Link Rect: 91, 201, 105, 209 Destination: 142 Annotation: Subtype: Link Rect: 156, 184, 162, 192 Destination: 171 Annotation: Subtype: Link Rect: 355, 119, 372, 129 Destination: 142 Annotation: Subtype: Link Rect: 497, 119, 515, 129 Destination: 142 Annotation: Subtype: Link Rect: 129, 109, 151, 118 Destination: 198 Annotation: Subtype: Link Rect: 253, 88, 276, 97 Destination: 198 Page: Label: 989 Sequence: 16 Annotations: Annotation: Subtype: Link Rect: 311, 684, 333, 694 Destination: 198 Annotation: Subtype: Link Rect: 396, 568, 413, 578 Destination: 220 Annotation: Subtype: Link Rect: 198, 547, 226, 557 Destination: 262 Annotation: Subtype: Link Rect: 236, 537, 253, 546 Destination: 220 Annotation: Subtype: Link Rect: 182, 434, 212, 444 Destination: 51 Annotation: Subtype: Link Rect: 203, 192, 220, 202 Destination: 220 Page: Label: 990 Sequence: 17 Annotations: Annotation: Subtype: Link Rect: 264, 684, 281, 694 Destination: 262 Annotation: Subtype: Link Rect: 498, 684, 514, 694 Destination: 220 Annotation: Subtype: Link Rect: 121, 652, 160, 662 Destination: 220 Annotation: Subtype: Link Rect: 323, 399, 481, 409 Annotation: Subtype: Link Rect: 63, 359, 511, 367 Annotation: Subtype: Link Rect: 63, 350, 515, 358 Annotation: Subtype: Link Rect: 63, 342, 113, 349 Annotation: Subtype: Link Rect: 63, 333, 428, 341 Annotation: Subtype: Link Rect: 63, 324, 515, 332 Annotation: Subtype: Link Rect: 63, 316, 98, 324 Annotation: Subtype: Link Rect: 63, 307, 508, 315 Annotation: Subtype: Link Rect: 63, 298, 450, 306 Annotation: Subtype: Link Rect: 63, 290, 515, 298 Annotation: Subtype: Link Rect: 63, 281, 113, 289 Annotation: Subtype: Link Rect: 63, 272, 396, 280 Annotation: Subtype: Link Rect: 63, 264, 439, 272 Annotation: Subtype: Link Rect: 63, 255, 515, 263 Annotation: Subtype: Link Rect: 63, 247, 203, 254 Annotation: Subtype: Link Rect: 63, 238, 413, 246 Annotation: Subtype: Link Rect: 63, 229, 437, 237 Annotation: Subtype: Link Rect: 63, 221, 516, 228 Annotation: Subtype: Link Rect: 63, 212, 301, 220 Annotation: Subtype: Link Rect: 63, 203, 515, 211 Annotation: Subtype: Link Rect: 63, 195, 91, 203 Annotation: Subtype: Link Rect: 63, 186, 516, 194 Annotation: Subtype: Link Rect: 63, 177, 116, 185 Annotation: Subtype: Link Rect: 63, 169, 516, 177 Annotation: Subtype: Link Rect: 63, 160, 167, 168 Annotation: Subtype: Link Rect: 63, 152, 515, 159 Annotation: Subtype: Link Rect: 63, 143, 271, 151 Annotation: Subtype: Link Rect: 63, 134, 455, 142 Annotation: Subtype: Link Rect: 63, 126, 429, 134 Annotation: Subtype: Link Rect: 63, 117, 345, 125 Annotation: Subtype: Link Rect: 63, 108, 515, 116 Annotation: Subtype: Link Rect: 63, 100, 120, 108 Annotation: Subtype: Link Rect: 63, 91, 514, 99 Annotation: Subtype: Link Rect: 63, 82, 515, 90 Annotation: Subtype: Link Rect: 63, 74, 98, 82 Annotation: Subtype: Link Rect: 63, 65, 287, 73 Annotation: Subtype: Link Rect: 63, 57, 409, 64 Page: Label: 991 Sequence: 18 Annotations: Annotation: Subtype: Link Rect: 59, 684, 511, 692 Annotation: Subtype: Link Rect: 59, 676, 102, 683 Annotation: Subtype: Link Rect: 59, 667, 511, 675 Annotation: Subtype: Link Rect: 59, 659, 80, 667 Annotation: Subtype: Link Rect: 59, 650, 453, 658 Annotation: Subtype: Link Rect: 59, 642, 511, 650 Annotation: Subtype: Link Rect: 59, 633, 137, 641 Annotation: Subtype: Link Rect: 59, 625, 452, 633 Annotation: Subtype: Link Rect: 59, 617, 452, 625 Annotation: Subtype: Link Rect: 59, 608, 511, 616 Annotation: Subtype: Link Rect: 59, 600, 80, 608 Annotation: Subtype: Link Rect: 59, 591, 511, 599 Annotation: Subtype: Link Rect: 59, 583, 273, 591 Annotation: Subtype: Link Rect: 59, 575, 511, 582 Annotation: Subtype: Link Rect: 59, 566, 161, 574 Annotation: Subtype: Link Rect: 59, 558, 511, 565 Annotation: Subtype: Link Rect: 59, 549, 104, 557 Annotation: Subtype: Link Rect: 59, 541, 511, 549 Annotation: Subtype: Link Rect: 59, 532, 76, 540 Annotation: Subtype: Link Rect: 59, 524, 511, 532 Annotation: Subtype: Link Rect: 59, 515, 83, 523 Annotation: Subtype: Link Rect: 59, 507, 364, 515 Annotation: Subtype: Link Rect: 59, 499, 511, 506 Annotation: Subtype: Link Rect: 59, 490, 301, 498 Annotation: Subtype: Link Rect: 59, 482, 462, 489 Annotation: Subtype: Link Rect: 59, 473, 499, 481 Annotation: Subtype: Link Rect: 59, 465, 432, 473 Annotation: Subtype: Link Rect: 59, 457, 429, 464 Annotation: Subtype: Link Rect: 59, 448, 511, 456 Annotation: Subtype: Link Rect: 59, 440, 184, 448 Annotation: Subtype: Link Rect: 59, 431, 434, 439 Annotation: Subtype: Link Rect: 59, 423, 511, 431 Annotation: Subtype: Link Rect: 59, 414, 196, 422 Annotation: Subtype: Link Rect: 59, 406, 511, 414 Annotation: Subtype: Link Rect: 59, 397, 184, 405 Annotation: Subtype: Link Rect: 59, 389, 421, 397 Annotation: Subtype: Link Rect: 59, 381, 427, 389 Annotation: Subtype: Link Rect: 59, 372, 511, 380 Annotation: Subtype: Link Rect: 59, 364, 306, 372 Annotation: Subtype: Link Rect: 59, 356, 511, 363 Annotation: Subtype: Link Rect: 59, 347, 440, 355 Annotation: Subtype: Link Rect: 59, 339, 511, 347 Annotation: Subtype: Link Rect: 59, 330, 145, 338 Annotation: Subtype: Link Rect: 59, 322, 467, 330 Annotation: Subtype: Link Rect: 59, 314, 511, 321 Annotation: Subtype: Link Rect: 59, 305, 431, 313 Annotation: Subtype: Link Rect: 59, 297, 326, 305 Annotation: Subtype: Link Rect: 59, 288, 290, 296 Annotation: Subtype: Link Rect: 59, 280, 511, 288 Annotation: Subtype: Link Rect: 59, 271, 315, 279 Annotation: Subtype: Link Rect: 59, 263, 419, 271 Annotation: Subtype: Link Rect: 59, 255, 428, 263 Annotation: Subtype: Link Rect: 59, 246, 511, 254 Annotation: Subtype: Link Rect: 59, 238, 86, 246 Annotation: Subtype: Link Rect: 59, 229, 467, 237 Annotation: Subtype: Link Rect: 59, 221, 511, 229 Annotation: Subtype: Link Rect: 59, 213, 130, 220 Annotation: Subtype: Link Rect: 59, 204, 511, 212 Annotation: Subtype: Link Rect: 59, 196, 180, 203 Annotation: Subtype: Link Rect: 59, 187, 465, 195 Annotation: Subtype: Link Rect: 59, 179, 468, 187 Annotation: Subtype: Link Rect: 59, 171, 511, 178 Annotation: Subtype: Link Rect: 59, 162, 122, 170 Annotation: Subtype: Link Rect: 59, 154, 455, 162 Annotation: Subtype: Link Rect: 59, 145, 511, 153 Annotation: Subtype: Link Rect: 59, 137, 164, 145 Annotation: Subtype: Link Rect: 59, 128, 449, 136 Annotation: Subtype: Link Rect: 59, 120, 511, 128 Annotation: Subtype: Link Rect: 59, 112, 281, 119 Annotation: Subtype: Link Rect: 59, 103, 309, 111 Annotation: Subtype: Link Rect: 59, 95, 511, 103 Annotation: Subtype: Link Rect: 59, 86, 192, 94 Annotation: Subtype: Link Rect: 59, 78, 442, 86 Annotation: Subtype: Link Rect: 59, 70, 511, 77 Annotation: Subtype: Link Rect: 59, 61, 146, 69 Checksum: 4ca57b28 Type: CRC32 Checksum: fa997d6cd7df67553e4dc83b18f2927f Type: MD5 Checksum: ab1c87c1879308452def1741b314f4a44802b81b Type: SHA-1