메뉴 건너뛰기




Volumn 74, Issue 4, 2012, Pages 935-957

The Influence of Receptor-Mediated Interactions on Reaction-Diffusion Mechanisms of Cellular Self-organisation

Author keywords

Reaction diffusion; Receptor mediated patterning; Self organisation; Turing models

Indexed keywords

ANIMAL; ARTICLE; BIOLOGICAL MODEL; CELL COMMUNICATION; HAIR FOLLICLE; MORPHOGENESIS; MOUSE; PHYSIOLOGY; PRENATAL DEVELOPMENT;

EID: 84857905719     PISSN: 00928240     EISSN: 15229602     Source Type: Journal    
DOI: 10.1007/s11538-011-9699-4     Document Type: Article
Times cited : (75)

References (51)
  • 1
    • 0036051343 scopus 로고    scopus 로고
    • Connective-tissue growth factor (CTGF) modulates cell signalling by BMP and TGF-β
    • Abreu, J. G., Ketpura, N. I., Reversade, B., & De Robertis, E. M. (2002). Connective-tissue growth factor (CTGF) modulates cell signalling by BMP and TGF-β. Nat. Cell Biol., 4(8), 599-604.
    • (2002) Nat. Cell Biol. , vol.4 , Issue.8 , pp. 599-604
    • Abreu, J.G.1    Ketpura, N.I.2    Reversade, B.3    de Robertis, E.M.4
  • 4
    • 58149339886 scopus 로고    scopus 로고
    • Partial differential equations for self-organization in cellular and developmental biology
    • Baker, R. E., Gaffney, E. A., & Maini, P. K. (2008). Partial differential equations for self-organization in cellular and developmental biology. Nonlinearity, 21, R251-R290.
    • (2008) Nonlinearity , vol.21
    • Baker, R.E.1    Gaffney, E.A.2    Maini, P.K.3
  • 5
    • 0016077249 scopus 로고
    • How well does Turing's theory of morphogenesis work?
    • Bard, J., & Lauder, I. (1974). How well does Turing's theory of morphogenesis work? J. Theor. Biol., 45, 501-531.
    • (1974) J. Theor. Biol. , vol.45 , pp. 501-531
    • Bard, J.1    Lauder, I.2
  • 6
    • 0019169551 scopus 로고
    • Pattern formation by reaction-diffusion instabilities: applications to morphogenesis in Drosophila
    • Bunow, B., Kernevez, J. P., Joly, G., & Thomas, D. (1980). Pattern formation by reaction-diffusion instabilities: applications to morphogenesis in Drosophila. J. Theor. Biol., 84, 629-649.
    • (1980) J. Theor. Biol. , vol.84 , pp. 629-649
    • Bunow, B.1    Kernevez, J.P.2    Joly, G.3    Thomas, D.4
  • 7
    • 22744439568 scopus 로고    scopus 로고
    • Evolution at two levels: on genes and form
    • Carroll, S. B. (2005). Evolution at two levels: on genes and form. PLoS Biol., 3(7), e245.
    • (2005) PLoS Biol. , vol.3 , Issue.7
    • Carroll, S.B.1
  • 8
    • 0037164725 scopus 로고    scopus 로고
    • Lefty proteins are long-range inhibitors of squint-mediated nodal signaling
    • Chen, Y., & Schier, A. F. (2002). Lefty proteins are long-range inhibitors of squint-mediated nodal signaling. Curr. Biol., 12, 2124-2128.
    • (2002) Curr. Biol. , vol.12 , pp. 2124-2128
    • Chen, Y.1    Schier, A.F.2
  • 9
    • 0032701813 scopus 로고    scopus 로고
    • Reaction and diffusion on growing domains: scenarios for robust pattern formation
    • Crampin, E. J., Gaffney, E. A., & Maini, P. K. (1999). Reaction and diffusion on growing domains: scenarios for robust pattern formation. Bull. Math. Biol., 61, 1093-1120.
    • (1999) Bull. Math. Biol. , vol.61 , pp. 1093-1120
    • Crampin, E.J.1    Gaffney, E.A.2    Maini, P.K.3
  • 10
    • 0020512656 scopus 로고
    • The mechanism of feather pattern development in the chick.1. the time of determination of feather position
    • Davidson, D. (1983). The mechanism of feather pattern development in the chick. 1. the time of determination of feather position. J. Embryol. Exp. Morphol., 74, 245-259.
    • (1983) J. Embryol. Exp. Morphol. , vol.74 , pp. 245-259
    • Davidson, D.1
  • 11
    • 0030900030 scopus 로고    scopus 로고
    • Pattern formation in systems with one spatially distributed species
    • Ermentrout, B., & Lewis, M. (1997). Pattern formation in systems with one spatially distributed species. Bull. Math. Biol., 59, 533-549.
    • (1997) Bull. Math. Biol. , vol.59 , pp. 533-549
    • Ermentrout, B.1    Lewis, M.2
  • 12
    • 33746596624 scopus 로고    scopus 로고
    • Gene expression time delays and Turing pattern formation system
    • Gaffney, E. A., & Monk, N. A. M. (2006). Gene expression time delays and Turing pattern formation system. Bull. Math. Biol., 68, 99-130.
    • (2006) Bull. Math. Biol. , vol.68 , pp. 99-130
    • Gaffney, E.A.1    Monk, N.A.M.2
  • 13
    • 0015454185 scopus 로고
    • A theory of biological pattern formation
    • Gierer, A., & Meinhardt, H. (1972). A theory of biological pattern formation. Kybernetik, 12, 30-39.
    • (1972) Kybernetik , vol.12 , pp. 30-39
    • Gierer, A.1    Meinhardt, H.2
  • 16
    • 23844501009 scopus 로고    scopus 로고
    • Molecular evidence for an activator-inhibitor mechanism in development of embryonic feather branching
    • Harris, M. P., Williamson, S., Fallon, J. F., Meinhardt, H., & Prum, R. O. (2005). Molecular evidence for an activator-inhibitor mechanism in development of embryonic feather branching. Proc. Natl. Acad. Sci. USA, 102(33), 11734-11739.
    • (2005) Proc. Natl. Acad. Sci. USA , vol.102 , Issue.33 , pp. 11734-11739
    • Harris, M.P.1    Williamson, S.2    Fallon, J.F.3    Meinhardt, H.4    Prum, R.O.5
  • 17
    • 4243179114 scopus 로고    scopus 로고
    • Dynamical mechanisms for skeletal pattern formation in the vertebrate limb
    • Hentschel, H., Glimm, T., Glazier, J., & Newman, S. (2004). Dynamical mechanisms for skeletal pattern formation in the vertebrate limb. Proc. R. Soc. Lond. B, Biol. Sci., 271(1549), 1713-1722.
    • (2004) Proc. R. Soc. Lond. B, Biol. Sci. , vol.271 , Issue.1549 , pp. 1713-1722
    • Hentschel, H.1    Glimm, T.2    Glazier, J.3    Newman, S.4
  • 18
    • 0032054895 scopus 로고    scopus 로고
    • Local inhibitory action of BMPs and their relationships with activators in feather formation: implications for periodic patterning
    • Jung, H.-S., Francis-West, P. H., Widelitz, R. B., Jiang, T.-X., Ting-Berreth, S., Tickle, C., Wolpert, L., & Chuong, C.-M. (1998). Local inhibitory action of BMPs and their relationships with activators in feather formation: implications for periodic patterning. Dev. Biol., 196(1), 11-23.
    • (1998) Dev. Biol. , vol.196 , Issue.1 , pp. 11-23
    • Jung, H.-S.1    Francis-West, P.H.2    Widelitz, R.B.3    Jiang, T.-X.4    Ting-Berreth, S.5    Tickle, C.6    Wolpert, L.7    Chuong, C.-M.8
  • 21
    • 28444472423 scopus 로고    scopus 로고
    • Distinct stem cell populations regenerate the follicle and interfollicular epidermis
    • Levy, V., Lindon, C., Harfe, B. D., & Morgan, B. A. (2005). Distinct stem cell populations regenerate the follicle and interfollicular epidermis. Dev. Cell, 9(6), 855-861.
    • (2005) Dev. Cell , vol.9 , Issue.6 , pp. 855-861
    • Levy, V.1    Lindon, C.2    Harfe, B.D.3    Morgan, B.A.4
  • 22
    • 70349269035 scopus 로고    scopus 로고
    • Spots and stripes: pleomorphic patterning of stem cells via p-ERK-dependent cell chemotaxis shown by feather morphogenesis and mathematical simulation
    • Lin, C.-M., Jiang, T. X., Baker, R. E., Maini, P. K., Widelitz, R. B., & Chuong, C.-M. (2009). Spots and stripes: pleomorphic patterning of stem cells via p-ERK-dependent cell chemotaxis shown by feather morphogenesis and mathematical simulation. Dev. Biol., 334(2), 369-382.
    • (2009) Dev. Biol. , vol.334 , Issue.2 , pp. 369-382
    • Lin, C.-M.1    Jiang, T.X.2    Baker, R.E.3    Maini, P.K.4    Widelitz, R.B.5    Chuong, C.-M.6
  • 24
    • 0033988082 scopus 로고    scopus 로고
    • Extracellular matrix environment influences chondrogenic pattern formation in limb bud micromass culture: experimental verification of theoretical models
    • Miura, T., & Shiota, K. (2000a). Extracellular matrix environment influences chondrogenic pattern formation in limb bud micromass culture: experimental verification of theoretical models. Anat. Rec., 258, 100-107.
    • (2000) Anat. Rec. , vol.258 , pp. 100-107
    • Miura, T.1    Shiota, K.2
  • 25
    • 0033624927 scopus 로고    scopus 로고
    • TGFβ2 acts as an activator molecule in reaction-diffusion model and is involved in cell sorting phenomenon in mouse limb micromass culture
    • Miura, T., & Shiota, K. (2000b). TGFβ2 acts as an activator molecule in reaction-diffusion model and is involved in cell sorting phenomenon in mouse limb micromass culture. Dev. Dyn., 217, 241-249.
    • (2000) Dev. Dyn. , vol.217 , pp. 241-249
    • Miura, T.1    Shiota, K.2
  • 26
    • 33646819360 scopus 로고    scopus 로고
    • Mixed-mode pattern in Doublefoot mutant mouse limb-Turing reaction-diffusion model on a growing domain during limb development
    • Miura, T., Shiota, K., Morriss-Kay, G., & Maini, P. K. (2006). Mixed-mode pattern in Doublefoot mutant mouse limb-Turing reaction-diffusion model on a growing domain during limb development. J. Theor. Biol., 240, 562-573.
    • (2006) J. Theor. Biol. , vol.240 , pp. 562-573
    • Miura, T.1    Shiota, K.2    Morriss-Kay, G.3    Maini, P.K.4
  • 27
    • 77951219412 scopus 로고    scopus 로고
    • On the modelling of biological patterns with mechanochemical models: insights from analysis and computation
    • Moreo, P., Gaffney, E. A., Garcia-Aznar, J. M., & Doblare, M. (2010). On the modelling of biological patterns with mechanochemical models: insights from analysis and computation. Bull. Math. Biol., 72(2), 400-431.
    • (2010) Bull. Math. Biol. , vol.72 , Issue.2 , pp. 400-431
    • Moreo, P.1    Gaffney, E.A.2    Garcia-Aznar, J.M.3    Doblare, M.4
  • 29
    • 50649111744 scopus 로고    scopus 로고
    • Enhanced ectodysplasin-a receptor (EDAR) signaling alters multiple fiber characteristics to produce the east Asian hair form
    • Mou, C., Thomason, H. A., Willan, P. M., Clowes, C., Harris, W. E., Drew, C. F., Dixon, J., Dixon, M. J., & Headon, D. J. (2008). Enhanced ectodysplasin-a receptor (EDAR) signaling alters multiple fiber characteristics to produce the east Asian hair form. Human Mutat., 29(12), 1405-1411.
    • (2008) Human Mutat. , vol.29 , Issue.12 , pp. 1405-1411
    • Mou, C.1    Thomason, H.A.2    Willan, P.M.3    Clowes, C.4    Harris, W.E.5    Drew, C.F.6    Dixon, J.7    Dixon, M.J.8    Headon, D.J.9
  • 32
    • 1242316243 scopus 로고    scopus 로고
    • Morpho-regulation of ectodermal organs: integument pathology and phenotypic variations in K14-Noggin engineered mice through modulation of bone morphogenic protein pathway
    • Plikus, M., Wang, W. P., Liu, J., Wang, X., Jiang, T. X., & Chuong, C. M. (2008). Morpho-regulation of ectodermal organs: integument pathology and phenotypic variations in K14-Noggin engineered mice through modulation of bone morphogenic protein pathway. Am. J. Pathol., 164(3), 1099-1114.
    • (2008) Am. J. Pathol. , vol.164 , Issue.3 , pp. 1099-1114
    • Plikus, M.1    Wang, W.P.2    Liu, J.3    Wang, X.4    Jiang, T.X.5    Chuong, C.M.6
  • 33
    • 33846486935 scopus 로고    scopus 로고
    • Ectodysplasin has a dual role in ectodermal organogenesis: inhibition of BMP activity and induction of Shh expression
    • Pummila, M., Fliniaux, I., Jaatinen, R., James, M. J., Laurikkala, J., Schneider, P., Thesleff, I., & Mikkola, M. L. (2007). Ectodysplasin has a dual role in ectodermal organogenesis: inhibition of BMP activity and induction of Shh expression. Development, 134(1), 117-125.
    • (2007) Development , vol.134 , Issue.1 , pp. 117-125
    • Pummila, M.1    Fliniaux, I.2    Jaatinen, R.3    James, M.J.4    Laurikkala, J.5    Schneider, P.6    Thesleff, I.7    Mikkola, M.L.8
  • 34
    • 0035339813 scopus 로고    scopus 로고
    • A simple method of parameter space determination for diffusion-driven instability with three species
    • Qian, H., & Murray, J. D. (2001). A simple method of parameter space determination for diffusion-driven instability with three species. Appl. Math. Lett., 14, 405-411.
    • (2001) Appl. Math. Lett. , vol.14 , pp. 405-411
    • Qian, H.1    Murray, J.D.2
  • 35
    • 0842283372 scopus 로고    scopus 로고
    • The role of trans-membrane signal transduction in Turing-type cellular pattern formation
    • Rauch, E. M., & Millonas, M. M. (2004). The role of trans-membrane signal transduction in Turing-type cellular pattern formation. J. Theor. Biol., 226, 401-407.
    • (2004) J. Theor. Biol. , vol.226 , pp. 401-407
    • Rauch, E.M.1    Millonas, M.M.2
  • 36
    • 0036240683 scopus 로고    scopus 로고
    • Inhibition of nodal signalling by lefty mediated through interaction with common receptors and efficient diffusion
    • Sakuma, R., Ohnishi, Y., Meno, C., Fujii, H., Juan, H., Takeuchi, J., Ogura, T., Li, E., Miyazono, K., & Hamada, H. (2002). Inhibition of nodal signalling by lefty mediated through interaction with common receptors and efficient diffusion. Genes Cells, 7, 401-412.
    • (2002) Genes Cells , vol.7 , pp. 401-412
    • Sakuma, R.1    Ohnishi, Y.2    Meno, C.3    Fujii, H.4    Juan, H.5    Takeuchi, J.6    Ogura, T.7    Li, E.8    Miyazono, K.9    Hamada, H.10
  • 38
    • 15944381273 scopus 로고    scopus 로고
    • Molecular principles of hair follicle induction and morphogenesis
    • Schmidt-Ullrich, R., & Paus, R. (2005). Molecular principles of hair follicle induction and morphogenesis. BioEssays, 27(3), 247-261.
    • (2005) BioEssays , vol.27 , Issue.3 , pp. 247-261
    • Schmidt-Ullrich, R.1    Paus, R.2
  • 39
    • 0015442349 scopus 로고
    • Dissipative structure-explanation and an ecological example
    • Segel, L. A., & Jackson, J. L. (1972). Dissipative structure-explanation and an ecological example. J. Theor. Biol., 37, 545-559.
    • (1972) J. Theor. Biol. , vol.37 , pp. 545-559
    • Segel, L.A.1    Jackson, J.L.2
  • 40
    • 77958493039 scopus 로고    scopus 로고
    • Aberrant behaviours of reaction diffusion self-organisation models on growing domains in the presence of gene expression time delays
    • Seirin-Lee, S., & Gaffney, E. A. (2010). Aberrant behaviours of reaction diffusion self-organisation models on growing domains in the presence of gene expression time delays. Bull. Math. Biol., 72, 2161-2179.
    • (2010) Bull. Math. Biol. , vol.72 , pp. 2161-2179
    • Seirin-Lee, S.1    Gaffney, E.A.2
  • 41
    • 77958507416 scopus 로고    scopus 로고
    • The influence of gene expression time delays on Gierer-Meinhardt pattern formation systems
    • Seirin-Lee, S., Gaffney, E. A., & Monk, N. A. M. (2010). The influence of gene expression time delays on Gierer-Meinhardt pattern formation systems. Bull. Math. Biol., 72, 2319-2360.
    • (2010) Bull. Math. Biol. , vol.72 , pp. 2319-2360
    • Seirin-Lee, S.1    Gaffney, E.A.2    Monk, N.A.M.3
  • 42
    • 81255149575 scopus 로고    scopus 로고
    • The dynamics of Turing patterns for morphogen-regulated growing domains with cellular response delays
    • doi:10.1007/s11538-011-9634-8
    • Seirin-Lee, S., Gaffney, E. A., & Baker, R. E. (2011). The dynamics of Turing patterns for morphogen-regulated growing domains with cellular response delays. Bull. Math. Biol. doi: 10. 1007/s11538-011-9634-8.
    • (2011) Bull. Math. Biol.
    • Seirin-Lee, S.1    Gaffney, E.A.2    Baker, R.E.3
  • 43
    • 0025287890 scopus 로고
    • Pattern formation in skin development
    • Sengel, P. (1990). Pattern formation in skin development. Int. J. Dev. Biol., 34(1), 33-50.
    • (1990) Int. J. Dev. Biol. , vol.34 , Issue.1 , pp. 33-50
    • Sengel, P.1
  • 45
    • 33845301220 scopus 로고    scopus 로고
    • WNT and DKK determine hair follicle spacing through a reaction-diffusion mechanism
    • Sick, S., Reinker, S., Timmer, J., & Schlake, T. (2006). WNT and DKK determine hair follicle spacing through a reaction-diffusion mechanism. Science, 314(5804), 1447-1450.
    • (2006) Science , vol.314 , Issue.5804 , pp. 1447-1450
    • Sick, S.1    Reinker, S.2    Timmer, J.3    Schlake, T.4
  • 46
    • 0037425616 scopus 로고    scopus 로고
    • Vertebrate development: taming the nodal waves
    • Solnica-Krezel, L. (2003). Vertebrate development: taming the nodal waves. Curr. Biol., 13, R7-R9.
    • (2003) Curr. Biol. , vol.13
    • Solnica-Krezel, L.1
  • 48
    • 0032577037 scopus 로고    scopus 로고
    • Spatial heterogeneity in three species, plant-parasite-hyperparasite, systems
    • White, K. A. J., & Gilligan, C. A. (1998). Spatial heterogeneity in three species, plant-parasite-hyperparasite, systems. Philos. Trans. R. Soc. B, 353, 543-557.
    • (1998) Philos. Trans. R. Soc. B , vol.353 , pp. 543-557
    • White, K.A.J.1    Gilligan, C.A.2
  • 49
    • 0028576038 scopus 로고
    • Positional information and pattern formation in development
    • Wolpert, L. (1994). Positional information and pattern formation in development. Dev. Genet., 15(6), 485-490.
    • (1994) Dev. Genet. , vol.15 , Issue.6 , pp. 485-490
    • Wolpert, L.1
  • 50
    • 0004279072 scopus 로고    scopus 로고
    • 2nd edn., London: Oxford University Press
    • Wolpert, L. (2002). Principles of development (2nd ed.). London: Oxford University Press.
    • (2002) Principles of Development
    • Wolpert, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.