37a811d390dd2ab9aaf7c3703c5d0e69 pmc_26478601.pdf a21767bfe076474ac0564ad6816fe69ad49e15cd pmc_26478601.pdf 415e3de1c9a7c4b2b1056edd015e7b6e69ed698ba6fa777420e2884cbd3c30f3 pmc_26478601.pdf Title: Hybrid approaches for multiple-species stochastic reaction–diffusion models Subject: Journal of Computational Physics, 299 (2015) 429–445. 10.1016/j.jcp.2015.07.002 Author: Fabian Spill Creator: Elsevier Producer: Acrobat Distiller 9.5.5 (Windows) CreationDate: Tue Aug 18 09:17:56 2015 CEST ModDate: Tue Aug 18 09:17:56 2015 CEST Tagged: yes UserProperties: no Suspects: no Form: none JavaScript: no Pages: 17 Encrypted: no Page size: 544.252 x 742.677 pts Page rot: 0 File size: 1145661 bytes Optimized: yes PDF version: 1.7 name type encoding emb sub uni object ID ------------------------------------ ----------------- ---------------- --- --- --- --------- LCEMCK+Gulliver Type 1C Custom yes yes yes 675 0 LCEMEL+Univers Type 1C WinAnsi yes yes no 676 0 LCEMEM+Helvetica Type 1C WinAnsi yes yes no 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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 Stochastic and deterministic reaction-diffusion systems Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@21588809 Children: Item: Title: 2.1 Stochastic reaction-diffusion systems Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@2aae9190 Item: Title: 2.2 Mean-field limit Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@2f333739 Item: Title: 2.3 Method of solution of the stochastic model Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@77468bd9 Item: Title: 3 General algorithm for stochastic/deterministic reaction-diffusion hybrid model Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@12bb4df8 Children: Item: Title: 3.1 Hybrid algorithm with a single interface Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@4cc77c2e Children: Item: Title: 3.1.1 Fluxes and reactions at the interface Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@7a7b0070 Children: Item: Title: 3.1.1.1 Fractional particles Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@39a054a5 Item: Title: 3.2 Moving interface condition Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@71bc1ae4 Item: Title: 3.3 Renormalisation of particle distribution Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@6ed3ef1 Item: Title: 4 Stochastic Fisher-Kolmogorov equation Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@2437c6dc Children: Item: Title: 4.1 Fisher-Kolmogorov travelling waves Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@1f89ab83 Item: Title: 5 Spatial stochastic Lotka-Volterra system Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@e73f9ac Children: Item: Title: 5.1 Oscillatory behaviour without observable extinction Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@61064425 Item: Title: 5.2 Extinction and blow-up Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@7b1d7fff Item: Title: 6 Conclusions Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@299a06ac Item: Title: Acknowledgements Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@383534aa Item: Title: Appendix A Alterations of the hybrid algorithm Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@6bc168e5 Children: Item: Title: A.1 Large stochastic time step Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@7b3300e5 Item: Title: A.2 Small stochastic time step Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@2e5c649 Item: Title: A.3 Deterministic interface reactions Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@136432db Item: Title: A.4 Multiple interfaces for different species Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@7382f612 Item: Title: References Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@1055e4af Info: Title: Hybrid approaches for multiple-species stochastic reaction diffusion models Author: Fabian Spill Subject: Journal of Computational Physics, 299 (2015) 429 445. 10.1016/j.jcp.2015.07.002 Creator: Elsevier Producer: Acrobat Distiller 9.5.5 (Windows) CreationDate: Tue Aug 18 09:17:56 CEST 2015 ModDate: Tue Aug 18 09:17:56 CEST 2015 ID: 0xdbdf661c5311799e49a2f1f2341de3bd, 0x9a12c2d715492a4a84ba41487301e95f Filters: FilterPipeline: FlateDecode FilterPipeline: DCTDecode FilterPipeline: CCITTFaxDecode 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: 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multiple-species stochastic reaction–diffusion models Fabian Spill Pilar Guerrero Tomas Alarcon Philip K. Maini Helen Byrne Reaction–diffusion system Stochastic model Hybrid model Fisher–Kolmogorov equation Lotka–Volterra equation Journal of Computational Physics, 299 (2015) 429–445. 10.1016/j.jcp.2015.07.002 Elsevier Inc. journal Journal of Computational Physics Copyright ©2015 The Authors. 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