Abstract
Supportive function and expansion of a soft tissue are considered from the energetic perspective. The minimum of the potential energy in a cell determines the cell shape. The minimum of the potential energy in a cylindrical organ composed of turgid tissues, which differ in their elasticity moduli, predicts the occurrence of tissue stresses in the organ. The concept of turgor-driven cell wall extension is reexamined on the assumptions that (1) during stress relaxation the osmotic energy is transformed into strain energy of newly formed cell wall layers, and (2) only the outer cell wall layer undergoes the stress relaxation. This leads to an equation for a relative extension rate different from the rheological equation but also including a threshold turgor pressure. The cases of cell wall expansion that cannot be driven by turgor pressure (formation of intercalary gas spaces, expansion of convoluted anticlinal walls in leaf epidermis, expansion of cell wall invaginations in Pinus mesophyll) are described. A hypothesis is presented that in such cases the wall extension is driven by an increased swelling of the inner layer of the cell wall.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsNotes
- 1.
Buckling is a reversible deformation due to pure compression resulting in bending when a threshold compressive stress is surpassed.
References
Bergfeld R, Speth V, Schopfer P (1987) Reorientation of microfibrils and microtubules at the outer epidermal wall of maize coleoptiles during auxin-mediated growth. Bot Acta 101:31–41
Beusmans JMH, Silk WK (1988) Mechanical properties within the growth zone of corn roots investigated by bending experiments: II. Distribution of modulus and compliance in bending. Am J Bot 75:996–1002
Boyer JS (2001) Growth-induced water potentials originate from wall yielding during growth. J Exp Bot 52:1483–1488
Burgert I, Eder M, Gierlinger N, Fratzl P (2007) Tensile and compressive stresses in tracheids are induced by swelling based on geometrical constraints of the wood cell. Planta 226:981–987
Burström H (1959) Growth and formation of intercellularies in root meristems. Physiol Plant 12:371–385
Campbell R (1972) Electron microscopy of the development of needles of Pinus nigra var. maritima. Ann Bot 36:711–720
Correns C (1892) Zur Kenntnis der inneren Struktur der vegetabilischen Zellmembranen. Jahrb f wiss Bot 23:254–274
Cosgrove DJ (1988) Mechanism of rapid suppression of cell expansion in cucumber hypocotyl after blue-light irradiation. Planta 176:109–116
Cosgrove DJ (2000) Expansive growth of plant cell walls. Plant Physiol Biochem 38:109–124
Dorrington KL (1980) The theory of viscoelasticity in biomaterials. In: Vincent I et al. (eds) The mechanical properties of biological materials. Press Syndicate of the University of Cambridge, Cambridge, pp 289–314
Dumais J (2007) Can mechanics control pattern formation in plants? Curr Opin Plant Biol 10:58–62
Dumais J, Shaw SL, Steele CR, Long SR, Ray PM (2006) An anisotropic-viscoplastic model of plant cell morphogenesis by tip growth. Int J Dev Biol 50:209–222
Edelmann HG (1995) Wall extensibility during hypocotyl growth; a hypothesis to explain elastic induced wall loosening. Physiol Plant 95:296–303
Erickson RO (1986) Symplastic growth and symplasmic transport. Plant Physiol 82:1153
Finney EE, Hall CW, Mase GE (1964) Theory of linear viscoelasticity applied to potato. J Agric Eng Res 9:307–312
Forterre Y, Skotheim JM, Dumais J, Mahedevan L (2005) How the Venus flytrap snaps. Nature 433:421–425
Galatis B, Apostolakos P (2004) The role of the cytoskeleton in the morphogenesis and function of stomatal complexes. New Phytol 161:613–839
Green PB, Erickson RO, Buggy J (1971) Metabolic and physical control of cell elongation rate. In vivo studies in Nitella. Plant Physiol 47:423–430
Harris WM (1971) Ultrastructural observations on the mesophyll cells of pine leaves. Can J Bot 49:1107–1109
Hejnowicz Z (1997) Graviresponses in herbs and trees; a major role for the redistribution of tissue and growth stresses. Planta 203:S135–S146
Hejnowicz Z, Barthlott W (2005) Structural and mechanical peculiarities of the petioles of giant leaves of Amorphophallus (Araceae). Am J Bot 92:391–403
Hejnowicz Z, Borowska-Wykręt D (2005) Buckling of the inner cell wall layers after manipulations to reduce tensile stress: observations and interpretations for stress transmission. Planta 220:465–473
Hejnowicz Z, Sievers A (1995a) Tissue stresses in organs of herbaceous plants I. Poisson ratios and their role in determination of the stresses. J Exp Bot 46:1035–1044
Hejnowicz Z, Sievers A (1995b) Tissue stresses in organs of herbaceous plants II. Determination in three dimensions in the hypocotyl of sunflower. J Exp Bot 46:1045–1053
Hejnowicz Z, Sievers A (1996) Tissue stresses in organs of herbaceous plants III. Elastic properties of the tissues of sunflower hypocotyl and origin of tissue stresses. J Exp Bot 47:519–528
Heyn ANJ (1933) Further investigations on the mechanism of cell elongation and the properties of the cell wall in connection with elongation. I. The load extension relationship. Protoplasma 19:78–96
Hiller GH (1872) Untersuchungen über die Epidermis der Blüthenblätter. Jahrb f wiss Bot 15:411–452
Hohl M, Schopfer P (1992a) Growth at reduced turgor; irreversible and reversible cell-wall extension of maize coleoptiles and its implications for the theory of cell growth. Planta 187:209–217
Hohl M, Schopfer P (1992b) Physical extensibility of maize coleoptile cell walls: apparent plastic extensibility is due to elastic hysteresis. Planta 187:498–504
Hoss S, Wernicke W (1995) Microtubule and the establishment of apparent cell wall invaginations in mesophyll cells of Pinus silvestris L. J Plant Physiol 147:474–476
Huyghe JM, Bovendeerd PHM (2004) Swelling media: concepts and applications. In: Loret B, Huyghe JM (eds) Chemomechanical couplings in porous media – Geomechanics and biomechanics. Springer, Heidelberg, pp 57–124
Jaffe MJ, Leopold AC (1984) Callose deposition during gravitropism of Zea mays and Pisum sativum and its inhibition by 2-deoxy-D-glucose. Planta 161:20–26
Kenealy WR, Jeffries TW (2003) Enzyme processes for pulp and paper: a review of recent developments. In: Goodell B et al (eds) Wood deterioration and preservation. Oxford University Press, Oxford, pp 210–239
Kutschera U (1989) Tissue stresses in growing plant organs. Physiol Plant 77:157–163
Kutschera U (1994) The current status of the acid-growth hypothesis. New Phytol 126:349–369
Kutschera U, Köhler K (1992) Turgor and longitudinal tissue pressure in hypocotyls of Helianthus annuus L. J Exp Bot 43:1577–1581
Kutschera U, Bergfeld R, Schopfer P (1987) Cooperation of epidermis and inner tissues in auxin-mediated growth in maize coleoptiles. Planta 170:168–180
Lockhart JA (1965) An analysis of irreversible plant cell growth. J Theor Biol 8:264–375
Lüthen H, Bigdon M, Böttger M (1990) Reexamination of the acid growth theory of auxin action. Plant Physiol 93:931–939
Maltby D, Carpita NC, Montezinos D, Kulow C, Delmer DP (1979) β-1,3-Glucan in developing cotton fibers. Plant Physiol 63:1158–1164
Marshall JG, Dumbroff EB (1999) Turgor regulation via cell wall adjustment in white spruce. Plant Physiol 119:313–319
Niklas KJ (1992) Plant biomechanics. An engineering approach to plant form and function. University of Chicago Press, Chicago
Nobel PS (1974) Introduction to biophysical plant physiology. WH Freeman, San Francisco
Nonami H, Wu YJ, Boyer JS (1997) Decreased growth-induced water potentials; a primary cause of growth inhibition at low water potentials. Plant Physiol 114:501–509
Panteris E, Apostokalos P, Galatis B (1993) Microtubules and morphogenesis in ordinary epidermal cells of Vigna sinensis leaves. Protoplasma 174:91–100
Panteris E, Apostolakos P, Galatis B (1994) Sinuous ordinary epidermal cells; behind several patterns of waviness, a common morphogenetic mechanism. New Phytol 127:771–780
Parre E, Geitmann A (2005) More than a leak sealant. The mechanical properties of callose in pollen tubes. Plant Physiol 137:274–286
Passioura JB, Boyer JS (2003) Tissue stresses and resistance to water flow conspire to uncouple the water potential of the epidermis from that of the xylem in elongating plant stems. Funct Plant Biol 30:325–334
Peters WS, Tomos AD (1996) The history of tissue tension. Ann Bot 77:657–665
Peters WS, Farm MS, Kopf AJ (2001) Does growth correlate with turgor-induced elastic strain in stems? A re-evaluation of de Vries’ classical experiments. Plant Physiol 125:2173–2179
Proseus TE, Boyer JS (2005) Turgor pressure moves polysaccharides into growing cell walls of Chara corallina. Ann Bot 95:967–979
Proseus TE, Boyer JS (2006a) Identifying cytoplasmic input to the cell wall of growing Chara corallina. J Exp Bot 57:3231–3242
Proseus TE, Boyer JS (2006b) Periplasm turgor pressure controls wall deposition and assembly in growing Chara corallina cells. Ann Bot 98:93–105
Proseus TE, Boyer JS (2007) Tension required for pectate chemistry to control growth in Chara corallina. J Exp Bot 58:4283–4292
Proseus TE, Ortega JKF, Boyer JS (1999) Separating growth from elastic deformation during cell enlargement. Plant Physiol 119:775–784
Rayle DL, Cleland RE (1970) Enhancement of wall loosening and elongation by acid solutions. Plant Physiol 46:250–253
Refrégier G, Pelletier S, Jaillard D, Höfte H (2004) Interaction between wall deposition and cell elongation in dark-grown hypocotyl cells in Arabidopsis. Plant Physiol 135:959–968
Roland JC (1978) Cell wall differentiation and stages involved with intercellular gas space opening. J Cell Sci 32:325–336
Rose JK, Braam J, Fry SC, Nishitani K (2002) The XTH family of enzymes involved in xyloglucan endotransglucosylation and endohydrolysis: current perspectives and a new unifying nomenclature. Plant Cell Physiol 43:1421–1435
Schopfer P (2006) Biomechanics of plant growth. Am J Bot 93:1415–1425
Singh PP, Cushman JN, Bennethum LS, Maier DE (2003) Thermodynamics of swelling biopolymeric systems. Transport Porous Media 53:1–24
Spatz H-Chr, Köhler L, Speck Th (1998) Biomechanics and functional anatomy of hollow-stemmed sphenopsids. I. Equisetum giganteum (Equisetaceae). Am J Bot 85:305–314
Speck Th, Speck O, Emanns A, H-Chr S (1998) Biomechanics and functional anatomy of hollow-stemmed sphenopsids. II. Equisetum hyemale. Bot Acta 111:366–376
Strasburger E (1889) Ueber das Wachsthum vegetabilischer Zellhäute. Verlag von Gustav Fischer, Jena
Taiz I (1984) Plant cell expansion: regulation of cell wall mechanical properties. Annu Rev Plant Physiol 35:585–657
Verbelen JP, Vissenberg K, Le J (2001) Cell expansion in the epidermis: microtubules, cellulose orientation and wall loosening enzymes. J Plant Physiol 158:537–543
Wardrop AB, Cronshaw J (1958) Changes in cell wall organization resulting from surface growth in parenchyma of oat coleoptiles. Aust J Bot 6:89–95
Wei C, Lintilhac PM (2003) Loss of stability – a new model for stress relaxation in plant cell walls. J Theor Biol 224:305–312
Wei C, Lintilhac PM (2007) Loss of stability: a new look at the physics of cell wall behavior during plant cell growth. Plant Physiol 145:763–772
Weston GD, Cass DD (1973) Observations on the development of the paraveinal mesophyll of soybean leaves. Bot Gaz 134:332–335
Zhu GL, Boyer JS (1992) Enlargement in Chara studied with a turgor clamp. Plant Physiol 100:2071–2080
Dedication and Acknowledgments
The author dedicates this chapter to Andreas Sievers.
The author thanks Dorota Kwiatkowska for helpful discussion and comments, and Agata Burian and Anna Staroń for providing copies of literature issues.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2011 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Hejnowicz, Z. (2011). Plants as Mechano-Osmotic Transducers. In: Wojtaszek, P. (eds) Mechanical Integration of Plant Cells and Plants. Signaling and Communication in Plants, vol 9. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-19091-9_10
Download citation
DOI: https://doi.org/10.1007/978-3-642-19091-9_10
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-19090-2
Online ISBN: 978-3-642-19091-9
eBook Packages: Biomedical and Life SciencesBiomedical and Life Sciences (R0)