An Efficient Algorithm For Simulating Fracture Using Large Fuse Networks

The high computational cost involved in modeling of the progressive fracture simulations using large discrete lattice networks stems from the requirement to solve {\it a new large set of linear equations} every time a new lattice bond is broken. To address this problem, we propose an algorithm that combines the multiple-rank sparse Cholesky downdating algorithm with the rank-p inverse updating algorithm based on the Sherman-Morrison-Woodbury formula for the simulation of progressive fracture in disordered quasi-brittle materials using discrete lattice networks. Using the present algorithm, the computational complexity of solving the new set of linear equations after breaking a bond reduces to the same order as that of a simple {\it backsolve} (forward elimination and backward substitution) {\it using the already LU factored matrix}. That is, the computational cost is $O(nnz({\bf L}))$, where $nnz({\bf L})$ denotes the number of non-zeros of the Cholesky factorization ${\bf L}$ of the stiffness matrix ${\bf A}$. This algorithm using the direct sparse solver is faster than the Fourier accelerated preconditioned conjugate gradient (PCG) iterative solvers, and eliminates the {\it critical slowing down} associated with the iterative solvers that is especially severe close to the critical points. Numerical results using random resistor networks substantiate the efficiency of the present algorithm.Comment: 15 pages including 1 figure. On page pp11407 of the original paper (J. Phys. A: Math. Gen. 36 (2003) 11403-11412), Eqs. 11 and 12 were misprinted that went unnoticed during the proof reading stag

Reproducible gene targeting in recalcitrant Escherichia coli isolates

<p>Abstract</p> <p>Background</p> <p>A number of allele replacement methods can be used to mutate bacterial genes. For instance, the Red recombinase system of phage Lambda has been used very efficiently to inactivate chromosomal genes in <it>E. coli </it>K-12, through recombination between regions of homology. However, this method does not work reproducibly in some clinical <it>E. coli </it>isolates.</p> <p>Findings</p> <p>The procedure was modified by using longer homologous regions (85 bp and 500-600 bp), to inactivate genes in the uropathogenic <it>E. coli </it>strain UTI89. An <it>lrhA </it>regulator mutant, and deletions of the <it>lac </it>operon as well as the complete <it>type 1 </it>fimbrial gene cluster, were obtained reproducibly. The modified method is also functional in other recalcitrant <it>E. coli</it>, like the avian pathogenic <it>E. coli </it>strain APEC1. The <it>lrhA </it>regulator and <it>lac </it>operon deletion mutants of APEC1 were successfully constructed in the same way as the UTI89 mutants. In other avian pathogenic <it>E. coli </it>strains (APEC3E, APEC11A and APEC16A) it was very difficult or impossible to construct these mutants, with the original Red recombinase-based method, with a Red recombinase-based method using longer (85 bp) homologous regions or with our modified protocol, using 500 - 600 bp homologous regions.</p> <p>Conclusions</p> <p>The method using 500-600 bp homologous regions can be used reliably in some clinical isolates, to delete single genes or entire operons by homologous recombination. However, it does not invariably show a greater efficiency in obtaining mutants, when compared to the original Red-mediated gene targeting method or to the gene targeting method with 85 bp homologous regions. Therefore the length of the homology regions is not the only limiting factor for the construction of mutants in these recalcitrant strains.</p

T-DNA organization in tumor cultures and transgenic plants of the monocotyledon Asparagus officinalis

Asparagus officinalis was the first monocotyledonous plant from which hormone-independent and opine-producing crown gall tissue could be isolated. We confirm by DNA hybridization that tumor lines obtained after infection of this plant by Agrobacterium strains harboring wild-type nopaline and octopine tumor-inducing (Ti) plasmids are stably transformed and contain transferred DNA (T-DNA) segments identical to the T-DNA found in dicotyledonous plants. We have also infected Asparagus with a nononcogenic T-DNA vector that carries a chimeric aminoglycoside phosphotransferase [NOS-APH(3′)II] gene and selected transformed tissues on kanamycin-containing medium. The transformed status of these tissues was then confirmed by DNA hybridization. From these calli we regenerated kanamycin-resistant shoots that were subsequently rooted. Thus we report the isolation of transgenic monocotyledonous plants engineered via the Agrobacterium vector system

The opine synthase genes carried by Ti plasmids contain all signals necessary for expression in plants

Signals necessary for in vivo expression of Ti plasmid T-DNA-encoded octopine and nopaline synthase genes were studied in crown gall tumors by constructing mutated genes carrying various lengths of sequences upstream of the 5' initiation site of their mRNAs. Deletions upstream of position -294 did not interfere with expression of the octopine synthase gene while those extending upstream of position -170 greatly reduced the gene expression. The estimated size of the octopine synthase promoter is therefore 295 bp. The maximal length of 5' upstream sequences involved in the in vivo expression of the nopaline synthase gene is 261 bp. Our results also demonstrated that Ti plasmid-derived sequences contain all signals essential for expression of opine synthase genes in plants. Expression of these genes, therefore, is independent of the direct vicinity of the plant DNA sequences and is not activated by formation of plant DNA and T-DNA border junction

Analysis of T-DNA-mediated translational β-glucuronidase gene fusions

Three random translational P-glucuronidase (gus) gene fusions were previously obtained in Arabidopsis thaliana, using Agrobacterium-mediated transfer of a gus coding sequence without promoter and ATG initiation site. These were analysed by IPCR amplification of the sequence upstream of gus and nucleotide sequence analysis. In one instance, the gus sequence was fused, in inverse orientation, to the nos promoter sequence of a truncated tandem T-DNA copy and translated from a spurious ATG in this sequence. In the second transgenic line, the gus gene was fused to A. thaliana DNA, 27 bp downstream an ATG. In this Line, a large deletion occurred at the target site of the T-DNA. In the third line, gus is fused in frame to a plant DNA sequence after the eighth codon of an open reading frame encoding a protein of 619 amino acids. This protein has significant homology with animal and plant (receptor) serine/threonine protein kinases. The twelve subdomains essential for kinase activity are conserved. The presence of a potential signal peptide and a membrane-spanning domain suggests that it may be a receptor kinase. These data confirm that plant genes can be tagged as functional translational gene fusions

Insertion mutagenesis and study of transposable elements using a new unstable virescent seedling allele for isolation of haploid petunia lines

The new unstable virescent seedling (vis*) allele of a petunia mutant, that has green leaves but white cotyledons with green revertant spots, was used to identify spontaneously occurring haploid petunia lines with active transposable elements. Endogenous transposons were trapped into the single petunia nitrate reductase structural gene (nia) using chlorate selection on haploid protoplasts. In two mutant lines, the dTph1-like transposable element dTph1-3 was inserted at almost the same position but in opposite orientations in the first exon of the nia gene. In a third mutant, a different transposable element was integrated into the fourth exon. This element, called dTph4 is 787 bp long and has 13 bp terminal inverted repeats of which 12 bp are identical to those of dTph1. Insertion of dTph1-3 and dTph4 results in an 8 bp duplication of the target site, as already described for dTph1. In contrast to dTph1-like elements, dTph4 is present at low copy number in the petunia genome. This can facilitate its use for gene tagging in petunia. The dTph1-3 and dTph4 elements excise frequently, as transposon footprints were found in most of the insertion mutants. The data demonstrate that haploid petunia is an excellent system for gene tagging and for the study of transposable elements