Induction of hairy roots and characterization of peroxidase expression as a potential root growth marker in sesame.

Using hypocotyl and cotyledon of sesame seedlings, hairy root cultures were established and cDNA coding for a peroxidase was cloned from the roots. The frequency of sesame hairy root formation was higher in hypocotyl (33.4%) than cotyledon (9.3%). Applicable levels of kanamycin and hygromycin as a selectable marker were 100 microg/mL and 30 microg/mL, respectively. The peroxidase cDNA showed relatively high sequence identity with and similarity to plant class III peroxidase family. The cDNA encoded polypeptide was identified with the presence of three sequence features: 1) the putative 4 disulfide bridges, 2) an ER-targeted signal sequence in the N-terminus, and 3) two triplets, NXS for glycosylation. A real-time RT-PCR exhibited an abrupt increase in the peroxidase transcription activity after 4-week cultures of the sesame hairy roots and its highest level in 6-week cultured hairy roots. In contrast, the growth pattern of sesame hairy roots showed a typical sigmoidal curve. The active hairy root growth began after 2-week culture and their stationary growth phase occurred after 5-week culture. These results suggested that the peroxidase expression patterns at its transcription level could be used a potential indicator signaling a message that there will be no longer active growth in hairy root cultures. The sesame peroxidase gene was differentially expressed in different tissues.

Geometric percolation thresholds of interpenetrating plates in three-dimensional space.

The geometric percolation thresholds for circular, elliptical, square, and triangular plates in the three-dimensional space are determined precisely by Monte Carlo simulations. These geometries represent oblate particles in the limit of zero thickness. The normalized percolation points, which are estimated by extrapolating the data to zero radius, are etac=0.961 4+/-0.000 5, 0.864 7+/-0.000 6, and 0.729 5+/-0.000 6 for circles, squares, and equilateral triangles, respectively. These results show that the noncircular shapes and corner angles in the plate geometry tend to increase the interparticle connectivity and therefore reduce the percolation point. For elliptical plates, the percolation threshold is found to decrease moderately, when the aspect ratio epsilon is between 1 and 1.5, but decrease rapidly for epsilon greater than 1.5. For the binary dispersion of circular plates with two different radii, etac is consistently larger than that of equisized plates, with the maximum value located at around r1/r2=0.5.

Void percolation and conduction of overlapping ellipsoids.

The void percolation and conduction problems for equisized overlapping ellipsoids of revolution are investigated using the discretization method. The method is validated by comparing the estimated percolation threshold of spheres with the precise result found in literature. The technique is then extended to determine the threshold of void percolation as a function of the geometric aspect ratio of ellipsoidal particles. The finite element method is also applied to evaluate the equivalent conductivity of the void phase in the system. The results confirm that there are no universalities for void percolation threshold and conductivity in particulate systems, and these properties are clearly dependent on the geometrical shape of particles. As a consequence, void percolation and conduction associated with ellipsoidal particles of large aspect ratio should be treated differently from spheres.

Direct stochastic simulation of Ca2+ motion in Xenopus eggs.

The release of important intracellular ions has been widely modeled using two approaches, namely, (1) Fickian diffusion, in which sometimes tensorial diffusion coefficients are used to fit observed temporally varying concentrations of calcium, and (2) cellular automata, which produce a set of localized finite difference equations that result in complex global behavior. Here, we take a different approach, employing some assumed, a priori, distribution of ion-binding proteins in the cell, and some assumed biochemical capture and release characteristics to explain ionic motion, and ultimately, distribution. We study several scenarios for ion distribution, based on differences in binder action and distribution. The numbers and strengths of ion binders, spatial variation in inositol 1,4,5-triphosphate concentration, together with the escalating distribution of ionic diffusion speed, are found to be key factors leading to concavity in the Ca2+ wave shape. We also offer an explanation for geometrical effects on previously observed ion diffusion speeds in the cellular cortex of the Xenopus laevis egg during fertilization, based on an angle-of-view correction.

Analytical approximation of the two-dimensional percolation threshold for fields of overlapping ellipses.

Percolation of particle arrays is of high interest in microstructural design of materials. While there have been numerous contributions to theoretical modeling of percolation in particulate systems, no analytical approximation for the generalized problem of variable aspect-ratio ellipses has been reported. In the present work, we (1) derive, and verify through simulation, an analytical percolation approach capable of identifying the percolation point in two-phase materials containing generalized ellipses of uniform shape and size; and (2) explore the dependence of percolation on the particle aspect ratio. We validate our technique with simulations tracking both cluster sizes and percolation status, in networks of elliptical and circular particles. We also outline the steps needed to extend our approach to three-dimensional particles (ellipsoids). For biological materials, we ultimately aim to provide direct insight into the contribution of each single phase in multiphase tissues to mechanical or conductive properties. For engineered materials, we aim to provide insight into the minimum amount of a particular phase needed to strongly influence properties.