No abstract

No abstract

Within this article, the Kardar-Parisi-Zhang stochastic PDE is both considered and established as the continuum model for the height function associated to the long-range asymmetric exclusion process. Precisely, we demonstrate that the lattice Cole-Hopf transform of the height function, or equivalently the Gartner transform, converges in the appropriate topology to the solution of a linear multiplicative stochastic heat equation for arbitrarily long-range exclusion processes living on the infinite-volume lattice , thereby furthering the result of Dembo-Tsai in [8]. The primary technical novelty that we develop towards establishing this KPZ continuum limit is a robust dynamical variation and improvement upon the classical one-block estimate of [14], crucially exploiting the temporal ergodicity of the lattice dynamics.We finally recall that the Dirichlet form is convex; see Appendix 1 in [19] for the proof.

Regulation of gene expression by DNA-binding transcription factors is essential for proper control of growth and development in all organisms. In this study, we annotate and characterize growth and developmental phenotypes for transcription factor genes in the model filamentous fungus Neurospora crassa. We identified 312 transcription factor genes, corresponding to 3.2% of the protein coding genes in the genome. The largest class was the fungal-specific Zn2Cys6 (C6) binuclear cluster, with 135 members, followed by the highly conserved C2H2 zinc finger group, with 61 genes. Viable knockout mutants were produced for 273 genes, and complete growth and developmental phenotypic data are available for 242 strains, with 64% possessing at least one defect. The most prominent defect observed was in growth of basal hyphae (43% of mutants analyzed), followed by asexual sporulation (38%), and the various stages of sexual development (19%). Two growth or developmental defects were observed for 21% of the mutants, while 8% were defective in all three major phenotypes tested. Analysis of available mRNA expression data for a time course of sexual development revealed mutants with sexual phenotypes that correlate with transcription factor transcript abundance in wild type. Inspection of this data also implicated cryptic roles in sexual development for several cotranscribed transcription factor genes that do not produce a phenotype when mutated.

No abstract