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2009 | 78 | 1 |

Tytuł artykułu

Mathematical model for tissue stresses in growing plant cells and organs

Treść / Zawartość

Warianty tytułu

Języki publikacji

EN

Abstrakty

EN
In this study we propose a simple mathematical model based on the equilibrium equation for the materials deformed elastically. Owing to the turgor pressure of the cells, the peripheral walls of the outer tissue are under tension, while the extensible inner tissue is under compression. This well known properties of growing multicellular plant organs can be derived from the equation for equilibrium. The analytic solutions may serve as a good starting point for modeling the growth of a single plant cell or an organ.

Wydawca

-

Rocznik

Tom

78

Numer

1

Opis fizyczny

p.19-23,fig.,ref.

Twórcy

autor
  • University of Silesia, Jagiellonska 28, 40-032 Katowice, Poland

Bibliografia

  • ATKIN R.J., FOX N. 2005. An introduction to the theory of elasticity. Dover Publications Inc., New York.
  • HEJNOWICZ Z., NAKIELSKI J., HEJNOWICZ K. 1984. Modeling of spatial variations of growth within apical domes by means of the growth tensor. I. Growth specified on dome axis. Acta Soc. Bot. Pol. 53: 17-28.
  • HEJNOWICZ Z. 1984. Trajectories of principal directions of growth, natural coordinate system in growing plant organ. Acta Soc. Bot. Pol. 53: 29-42.
  • HEJNOWICZ Z., SIEVERS A. 1995. Tissue stresses in organs of herbaceous plants. I. Poisson ratios of tissues and their role in determination of the stresses. J. Exp. Bot. 46: 1035-1043.
  • HEJNOWICZ Z. 1997. Graviresponses in herbs and trees: a major role for the redistribution of tissue and growth stresses. Planta 203: S136-S146.
  • KUTSCHERA U. 1989. Tissue stresses in growing plant organs. Physiol. Plant. 77: 157-163.
  • KUTSCHERA U. 1995. Tissue pressure and cell turgor in axial plant organs: implications for the organismal theory of multi- cellularity. J. Plant Physiol. 146: 126-132.
  • KUTSCHERA U. 2000. Cell expansion in plant development. R. Bras. Fisiol. Veg. 12: 65-95.
  • LANDAU L.D., LIFSZYC E.M. 1993. Teoria sprężystości. Wydawnictwo Naukowe PWN, Warszawa.

Typ dokumentu

Bibliografia

Identyfikatory

Identyfikator YADDA

bwmeta1.element.agro-article-48c1c20b-87a0-4347-afd3-f8a3e73dba48
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