Численное исследование модели рецепции градиента концентрации морфогена {\it Hedgehog}

V. V. Kogai ; K. V. Gunbin ; L. V. Omelianchuk ; S. I. Fadeev ; N. A. Kolchanov

Sibirskij žurnal industrialʹnoj matematiki, Tome 9 (2006) no. 3, pp. 66-79.

Bibliographie

[1] Drysdale R. A., Crosby M. A., “FlyBase Consortium. FlyBase: genes and gene models”, Nucleic Acids Res., 33 (2005), D390–D395, Database issue ; http://nar.oxfordjournals.org/archive/2005.dtl | DOI

[2] Held L. I., Imaginal Discs: The Genetic and Cellular Logic of Pattern Formation, Univ. Press, Cambridge e. a., 2002

[3] Brody T., “The interactive fly: gene networks, development and the Internet”, Trends Genet., 15:8 (1999), 333–334 | DOI

[4] Wolpert L., “Positional information and the spatial pattern of cellular differentiation”, J. Theor. Biol., 25:1 (1969), 1–47 | DOI

[5] Gunbin K. V., Omelyanchuk L. V., Ananko E. A., “Two gene networks underlying the formation of the anterior-posterior and dorso-ventral wing imaginal disc compartment boundaries in Drosophila melanogaster”, Proc. BGRS-2004, 2004, no. 2, 56–59

[6] Aza-Blanc P., Ramirez-Weber F. A., Laget M. P., Schwartz C., Kornberg T. B., “Proteolysis that is inhibited by hedgehog targets Cubitus interruptus protein to the nucleus and converts it to a repressor”, Cell, 89:7 (1997), 1043–1053 | DOI

[7] Chen Y., Cardinaux J. R., Goodman R. H., Smolik S. M., “Mutants of cubitus interruptus that are independent of PKA regulation are independent of hedgehog signaling”, Development, 126:16 (1999), 3607–3616

[8] Methot N., Basler K., “Hedgehog controls limb development by regulating the activities of distinct transcriptional activator and repressor forms of Cubitus interruptus”, Cell, 96:6 (1999), 819–831 | DOI

[9] Dahmann C., Basler K., “Opposing transcriptional outputs of Hedgehog signaling and engrailed control compartmental cell sorting at the Drosophila A/P boundary”, Cell, 100:4 (2000), 411–422 | DOI

[10] Muller B., Basler K., “The repressor and activator forms of Cubitus interruptus control Hedgehog target genes through common generic gli-binding sites”, Development, 127:14 (2000), 2999–3007

[11] Ingham P. W., McMahon A. P., “Hedgehog signaling in animal development: paradigms and principles”, Genes Dev., 15:23 (2001), 3059–3087 | DOI

[12] Nybakken K., Perrimon N., “Hedgehog signal transduction: recent findings”, Curr. Opin. Genet. Dev., 12:5 (2002), 503–511 | DOI

[13] Lum L., Beachy P. A., “The Hedgehog response network: sensors, switches, and routers”, Science, 304:5678 (2004), 1755–1759 | DOI

[14] Kornish-Bouden E., Osnovy fermentativnoi kinetiki, Mir, M., 1979

[15] Lai K., Robertson M. J., Schaffer D. V., “The sonic hedgehog signaling system as a bistable genetic switch”, Biophys. J., 86:5 (2004), 2748–2757 | DOI

[16] Fuse N., Maiti T., Wang B., Porter J. A., Hall T. M., Leahy D. J., Beachy P. A., “Sonic hedgehog protein signals not as a hydrolytic enzyme but as an apparent ligand for patched”, Proc. Nat. Acad. Sci. USA, 96:20 (1999), 10992–10999 | DOI

[17] Taipale J., Cooper M. K., Maiti T., Beachy P. A., “Patched acts catalytically to suppress the activity of Smoothened”, Nature, 418:6900 (2002), 892–897 | DOI

[18] French A. R., Lauffenburger D. A., “Intracellular receptor/ligand sorting based on endosomal retention components”, Biotechnol. Bioeng., 51:3 (1996), 281–297 | 3.0.CO;2-9 class='badge bg-secondary rounded-pill ref-badge extid-badge'>DOI | MR

[19] Irvine K. D., Rauskolb C., “Boundaries in development: formation and function”, Ann. Rev. Cell Dev. Biol., 2001, no. 17, 189–214 | DOI

[20] Dillon R., Gadgil C., Othmer H. G., “Short- and long-range effects of Sonic hedgehog in limb development”, Proc. Nat. Acad. Sci. USA, 100:18 (2003), 10152–10157 | DOI | MR | Zbl

[21] Chen Y., Struhl G., “Dual roles for patched in sequestering and transducing Hedgehog”, Cell, 87:3 (1996), 553–563 | DOI

[22] Strigini M., Cohen S. M., “A Hedgehog activity gradient contributes to AP axial patterning of the Drosophila wing”, Development, 124:22 (1997), 4697–4705

[23] Chen Y., Struhl G., “In vivo evidence that Patched and Smoothened constitute distinct binding and transducing components of a Hedgehog receptor complex”, Development, 125:24 (1998), 4943–4948

[24] Tabata T., Takei Y., “Morphogens, their identification and regulation”, Development, 131:4 (2004), 703–712 | DOI

[25] Khododniok M., Klich A., Kubichek M., Marek M., Metody analiza nelineinykh dinamicheskikh modelei, Mir, M., 1991

[26] Fadeev S. I., Pokrovskaya S. A., Berezin A. Yu., Gainova I. A., Paket programm STEP dlya chislennogo issledovaniya sistem nelineinykh uravnenii i avtonomnykh sistem obschego vida, izd. NGU, Novosibirsk, 1998

[27] Zavyalov Yu. S., Kvasov B. I., Miroshnichenko V. L., Metody splain-funktsii, Nauka, M., 1989 | MR

[28] Godunov S. K., Ryabenkii V. S., Raznostnye skhemy, Nauka, M., 1977 | MR

[29] Dassow G. von, Meir E.,Munro E. M., Odell G. M., “The segment polarity network is a robust developmental module”, Nature, 406:6792 (2000), 188–192 | DOI

[30] Dassow G. von, Odell G. M., “Design and constraints of the drosophila segment polaritymodule: robust spatial patterning emerges from intertwined cell state switches”, J. Exp. Zool., 294:3 (2002), 179–215 | DOI

[31] Meir E., Munro E. M., Odell G. M., Dassow G. von, “Ingeneue: a versatile tool for reconstituting genetic networks, with examples from the segment polarity network”, J. Exp. Zool., 294:3 (2002), 216–251 | DOI

[32] Torroja C., Gorfinkiel N., Guerrero I., “Patched controls the Hedgehog gradient by endocytosis in a dynamin-dependent manner, but this internalization does not play a major role in signal transduction”, Development, 131:10 (2004), 2395–2408 | DOI

[33] Taipale J., Cooper M. K., Maiti T., Beachy P. A., “Patched acts catalytically to suppress the activity of Smoothened”, Nature, 418:900 (2002), 892–897 | DOI

[34] Zhu A. J., Zheng L., Suyama K., Scott M. P., “Altered localization of Drosophila Smoothened protein activates Hedgehog signal transduction”, Genes Dev., 17:10 (2003), 1240–1252 | DOI

[35] Weigmann K., Cohen S. M., Lehner C. F., “Cell cycle progression, growth and patterning in imaginal discs despite inhibition of cell division after inactivation of Drosophila Cdc2 kinase”, Development, 124:18 (1997), 3555–3563

[36] Price M. A., Kalderon D., “Proteolysis of cubitus interruptus in Drosophila requires phosphorylation by protein kinase A”, Development, 126:19 (1999), 4331–4339

[37] Methot N., Basler K., “Suppressor of fused opposes hedgehog signal transduction by impeding nuclear accumulation of the activator form of Cubitus interruptus”, Development, 127:18 (2000), 4001–4010

[38] Wang G., Amanai K., Wang B., Jiang J., “Interactions with Costal-2 and suppressor of fused regulate nuclear translocation and activity of Cubitus interruptus”, Genes Dev., 14:22 (2000), 2893–2905 | DOI

[39] Jia J., Amanai K., Wang G., Tang J., Wang B., Jiang J., “Shaggy/GSK3 antagonizes Hedgehog signalling by regulating Cubitus interruptus”, Nature, 416:6880 (2002), 548–552 | DOI

[40] Price M. A., Kalderon D., “Proteolysis of the Hedgehog signaling effector Cubitus interruptus requires phosphorylation by Glycogen Synthase Kinase 3 and Casein Kinase 1”, Cell, 108:6 (2002), 823–835 | DOI

[41] Jia J., Tong C., Jiang J., “Smoothened transduces Hedgehog signal by physically interacting with Costal2/Fused complex through its C-terminal tail”, Genes Dev., 17:21 (2003), 2709–2720 | DOI

[42] Hooper J. E., “Smoothened translates Hedgehog levels into distinct responses”, Development, 130:17 (2003), 3951–3963 | DOI

[43] Lum L., Zhang C., Oh S., Mann R. K., Kessler D. P. von, Taipale J., Weis-Garcia F., Gong R., Wang B., Beachy P. A., “Hedgehog signal transduction via Smoothened association with a cytoplasmic complex scaffolded by the atypical kinesin, Costal-2”, Mol. Cell, 12:5 (2003), 1261–1274 | DOI

[44] Chen C. H., Kessler D. P.von, Park W., Wang B., Ma Y., Beachy P. A., “Nuclear trafficking of Cubitus interruptus in the transcriptional regulation of Hedgehog target gene expression”, Cell, 98:3 (1999), 305–316 | DOI

[45] Ramirez-Weber F. A., Casso D. J., Aza-Blanc P., Tabata T., Kornberg T. B., “Hedgehog signal transduction in the posterior compartment of the Drosophila wing imaginal disc”, Mol. Cell, 6:2 (2000), 479–485 | DOI

[46] Bellaiche Y., The I., Perrimon N., “Tout-velu is a Drosophila homologue of the putative tumour suppressor EXT-1 and is needed for Hh diffusion”, Nature, 394:6688 (1998), 85–88 | DOI

[47] Maschat F., Serrano N., Randsholt N. B., Geraud G., “Engrailed and polyhomeotic interactions are required to maintain the A/P boundary of the Drosophila developing wing”, Development, 125:15 (1998), 2771–2780

[48] Casali A., Struhl G., “Reading the Hedgehog morphogen gradient by measuring the ratio of bound to unbound Patched protein”, Nature, 431:7004 (2004), 76–80 | DOI

[49] Hepker J., Wang Q. T., Motzny C. K., Holmgren R., Orenic T. V., “Drosophila cubitus interruptus forms a negative feedback loop with patched and regulates expression of Hedgehog target genes”, Development, 124:2 (1997), 549–558

[50] Rodriguez I., Basler K., “Control of compartmental affinity boundaries by hedgehog”, Nature, 389:6651 (1997), 614–618 | DOI