메뉴 건너뛰기




Volumn 93, Issue 2, 2004, Pages 149-156

The mathematical treatment of leaf venation: The variation in secondary vein length along the midrib

Author keywords

Alnus glutinosa; Alnus viridis; Biomathematics; Corylus avellana; Crataegus monogyna; Growth; Leaf; Leaf shape; Ulmus glabra; Ulmus procera; Vein length; Venation

Indexed keywords

LEAF; MATHEMATICAL ANALYSIS;

EID: 2142654332     PISSN: 03057364     EISSN: None     Source Type: Journal    
DOI: 10.1093/aob/mch024     Document Type: Article
Times cited : (6)

References (30)
  • 1
    • 0019212513 scopus 로고
    • Why many biological parameters are connected by power dependence
    • Apple MS, Korostyshevskij MA. 1980. Why many biological parameters are connected by power dependence. Journal of Theoretical Biology 85: 569-573.
    • (1980) Journal of Theoretical Biology , vol.85 , pp. 569-573
    • Apple, M.S.1    Korostyshevskij, M.A.2
  • 2
    • 24744455208 scopus 로고
    • The mathematical relationship between the lengths of lateral nerves and their positions on a leaf
    • Burton RF. 1960. The mathematical relationship between the lengths of lateral nerves and their positions on a leaf. New Phytologist 59: 48-52.
    • (1960) New Phytologist , vol.59 , pp. 48-52
    • Burton, R.F.1
  • 3
    • 0000777631 scopus 로고
    • Principes et méthodes de mesure de la surface foliaire. Essai de caractérisation des type de feuilles dans le genre Vitis
    • Carbonneau A. 1976. Principes et méthodes de mesure de la surface foliaire. Essai de caractérisation des type de feuilles dans le genre Vitis. Annales de l'Amélioration des Plantes 26: 327-343.
    • (1976) Annales de l'Amélioration des Plantes , vol.26 , pp. 327-343
    • Carbonneau, A.1
  • 4
    • 0343951371 scopus 로고
    • Studies in Crataegus (Rosaceae: Maloideae). IX. Short-shoot leaf heteroblasty in Crataegus crus-galli sensu lato
    • Dickinson TA, Phipps JB. 1984. Studies in Crataegus (Rosaceae: Maloideae). IX. Short-shoot leaf heteroblasty in Crataegus crus-galli sensu lato. Canadian Journal of Botany 62: 1775-1780.
    • (1984) Canadian Journal of Botany , vol.62 , pp. 1775-1780
    • Dickinson, T.A.1    Phipps, J.B.2
  • 5
    • 0002561673 scopus 로고
    • Another approach to leaf shape comparisons
    • Dickinson TA, Parker WH, Strauss RE. 1987. Another approach to leaf shape comparisons. Taxon 36: 1-20.
    • (1987) Taxon , vol.36 , pp. 1-20
    • Dickinson, T.A.1    Parker, W.H.2    Strauss, R.E.3
  • 6
    • 0003765216 scopus 로고
    • Canadian Forest Service in cooperation with Canada Communication Group, publishing. Merckham, Ontario: Fitzhenry & Whiteside, Canada
    • Farrar JL. 1995. Trees in Canada. Canadian Forest Service in cooperation with Canada Communication Group, publishing. Merckham, Ontario: Fitzhenry & Whiteside, Canada.
    • (1995) Trees in Canada
    • Farrar, J.L.1
  • 7
    • 2642650188 scopus 로고
    • Development of vein pattern in leaves of Ostrya virginiana (Betulaceae)
    • Franck DH. 1979. Development of vein pattern in leaves of Ostrya virginiana (Betulaceae). Botanical Gazette 140: 77-83.
    • (1979) Botanical Gazette , vol.140 , pp. 77-83
    • Franck, D.H.1
  • 8
    • 0001994178 scopus 로고
    • Classification of the architecture of dicotyledonous leaves
    • Hickey LJ. 1973. Classification of the architecture of dicotyledonous leaves. American Journal of Botany 60: 17-33.
    • (1973) American Journal of Botany , vol.60 , pp. 17-33
    • Hickey, L.J.1
  • 9
    • 2642638599 scopus 로고
    • Ontogeny of major veins in the lamina of Populus deltoides Bartr
    • Isebrands JG, Larson PR. 1980. Ontogeny of major veins in the lamina of Populus deltoides Bartr. American Journal of Botany 67: 23-33.
    • (1980) American Journal of Botany , vol.67 , pp. 23-33
    • Isebrands, J.G.1    Larson, P.R.2
  • 10
    • 0000417199 scopus 로고
    • Detecting shape variation in oak leaf morphology: A comparison of rotational-fit methods
    • Jensen RJ. 1990. Detecting shape variation in oak leaf morphology: a comparison of rotational-fit methods. American Journal of Botany 77: 1279-1293.
    • (1990) American Journal of Botany , vol.77 , pp. 1279-1293
    • Jensen, R.J.1
  • 11
    • 0036696602 scopus 로고    scopus 로고
    • Lines, outlines, and landmarks: Morphometric analyses of leaves of Acer rubrum, Acer saccharinum (Aceraceae) and their hybrid
    • Jensen RJ, Ciofani KM, Miramontes LC. 2002. Lines, outlines, and landmarks: morphometric analyses of leaves of Acer rubrum, Acer saccharinum (Aceraceae) and their hybrid. Taxon 51: 475-492.
    • (2002) Taxon , vol.51 , pp. 475-492
    • Jensen, R.J.1    Ciofani, K.M.2    Miramontes, L.C.3
  • 12
    • 0021043251 scopus 로고
    • Quantification of leaf shape with a microcomputer and Fourier transform
    • Kincaid DT, Schneider RB. 1983. Quantification of leaf shape with a microcomputer and Fourier transform. Canadian Journal of Botany 61: 2333-2342.
    • (1983) Canadian Journal of Botany , vol.61 , pp. 2333-2342
    • Kincaid, D.T.1    Schneider, R.B.2
  • 14
    • 0037470495 scopus 로고    scopus 로고
    • Leaf development takes shape
    • McConnell JR, Barton MK. 2003. Leaf development takes shape. Science 299: 1328-1329.
    • (2003) Science , vol.299 , pp. 1328-1329
    • McConnell, J.R.1    Barton, M.K.2
  • 15
    • 0036390690 scopus 로고    scopus 로고
    • Discrimination of grapevine (Vitis vinifera L.) leaf shape by fractal spectrum
    • Mancuso S. 2002. Discrimination of grapevine (Vitis vinifera L.) leaf shape by fractal spectrum. Vitis 41: 137-142.
    • (2002) Vitis , vol.41 , pp. 137-142
    • Mancuso, S.1
  • 16
    • 77954384034 scopus 로고
    • The accurate definition of leaf shapes by rectangular coordinates
    • Melville R. 1937. The accurate definition of leaf shapes by rectangular coordinates. Annals of Botany New Series 1: 673-679.
    • (1937) Annals of Botany New Series , vol.1 , pp. 673-679
    • Melville, R.1
  • 18
    • 24744448866 scopus 로고
    • Morphological characters in the discrimination of species and hybrids
    • Lousley JE. Arbroath: T. Buncle & Co.
    • Melville R. 1955. Morphological characters in the discrimination of species and hybrids. In Lousley JE. Species studies in the British flora. Arbroath: T. Buncle & Co. 55-64.
    • (1955) Species Studies in the British Flora , pp. 55-64
    • Melville, R.1
  • 19
    • 0040835076 scopus 로고
    • Comparison of ontogeny of three types of leaf architecture in Sorbus L. (Rosaceae)
    • Merrill EK. 1979. Comparison of ontogeny of three types of leaf architecture in Sorbus L. (Rosaceae). Botanical Gazette 140: 328-337.
    • (1979) Botanical Gazette , vol.140 , pp. 328-337
    • Merrill, E.K.1
  • 20
    • 0023442604 scopus 로고
    • Fitting curves to data using nonlinear regression: A practical and nonmathematical review
    • Motulsky HJ, Ransnas LA. 1987. Fitting curves to data using nonlinear regression: a practical and nonmathematical review. FASEB Journal 1: 365-374.
    • (1987) FASEB Journal , vol.1 , pp. 365-374
    • Motulsky, H.J.1    Ransnas, L.A.2
  • 21
    • 0037470360 scopus 로고    scopus 로고
    • Genetic control of surface curvature
    • Nath U, Crawford BCW, Carpenter EC. 2003. Genetic control of surface curvature. Science 299: 1404-1407.
    • (2003) Science , vol.299 , pp. 1404-1407
    • Nath, U.1    Crawford, B.C.W.2    Carpenter, E.C.3
  • 22
    • 0031411390 scopus 로고    scopus 로고
    • Leaf vascular pattern formation
    • Nelson T, Dengler N. 1997. Leaf vascular pattern formation. Plant Cell 9: 1121-1135.
    • (1997) Plant Cell , vol.9 , pp. 1121-1135
    • Nelson, T.1    Dengler, N.2
  • 23
    • 0000358703 scopus 로고
    • Shape characteristics in numerical taxonomy and problems with ratios
    • Phillips RB. 1983. Shape characteristics in numerical taxonomy and problems with ratios. Taxon 32: 535-544.
    • (1983) Taxon , vol.32 , pp. 535-544
    • Phillips, R.B.1
  • 24
    • 0031177956 scopus 로고    scopus 로고
    • Leaf morphogenesis in flowering plants
    • Poethig RS. 1997. Leaf morphogenesis in flowering plants. Plant Cell 9: 1077-1087.
    • (1997) Plant Cell , vol.9 , pp. 1077-1087
    • Poethig, R.S.1
  • 25
    • 84979311894 scopus 로고
    • Leaf development in relation to venation, as shown in Cercis siliquastrum L., Prunus serrulata Lindl. and Acer pseudoplatanus L
    • Slade BF. 1957. Leaf development in relation to venation, as shown in Cercis siliquastrum L., Prunus serrulata Lindl. and Acer pseudoplatanus L. New Phytologist 56: 281-300.
    • (1957) New Phytologist , vol.56 , pp. 281-300
    • Slade, B.F.1
  • 28
    • 0000473568 scopus 로고
    • Leaf development in Arabidopsis
    • Meyerowitz EM, Somerville CR. eds. Plainview, NJ: Cold Spring Harbor Laboratory Press
    • Telfer A, Poethig RS. 1994. Leaf development in Arabidopsis. In: Meyerowitz EM, Somerville CR. eds. Arabidopsis. Plainview, NJ: Cold Spring Harbor Laboratory Press, 379-401.
    • (1994) Arabidopsis , pp. 379-401
    • Telfer, A.1    Poethig, R.S.2
  • 29
    • 0029761620 scopus 로고    scopus 로고
    • Leaf allometry of Salix viminalis during the first growing season
    • Verwijst T, Wen D-Z. 1996. Leaf allometry of Salix viminalis during the first growing season. Tree Physiology 16: 655-660.
    • (1996) Tree Physiology , vol.16 , pp. 655-660
    • Verwijst, T.1    Wen, D.-Z.2
  • 30
    • 0001512431 scopus 로고
    • Quantitative patterns of leaf expansion: Comparison of normal and malformed leaf growth in Vitis vinifera cv
    • Wolf SD, Silk WK, Plant RE. 1986. Quantitative patterns of leaf expansion: comparison of normal and malformed leaf growth in Vitis vinifera cv. Ruby Red. American Journal of Botany 73: 832-846.
    • (1986) Ruby Red. American Journal of Botany , vol.73 , pp. 832-846
    • Wolf, S.D.1    Silk, W.K.2    Plant, R.E.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.