Hasil untuk "q-bio.SC"

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Transcriptional regulatory networks of the human gut symbiont <i>Bacteroides thetaiotaomicron</i> are uncovered using machine learning

Kangsan Kim, Donghui Choe, Sun Chang Kim et al.

Abstract Bacteroides thetaiotaomicron VPI-5482 is a prominent human gut symbiont of increasing importance to human health and therapeutic applications. Despite its significance, the transcriptional regulatory network (TRN) governing its survival and resilience in vivo remains poorly understood. Here, we present BtModulome, a comprehensive transcriptional regulatory framework derived from independent component analysis of 461 RNA-seq datasets spanning diverse niche-specific conditions and genetic backgrounds. This analysis revealed the BtModulome consisting of 110 independently modulated gene sets (iModulons), explaining 72.9% of the variance in the RNA-seq dataset. We validated strong associations with 39 known regulators and identified 311 novel regulator–regulon relationships, accounting for 22.4% expansion of the known TRN of B. thetaiotaomicron. In addition, we functionally characterized 11 ECF-σs, including SigW-1, which orchestrates arylsulfatase expression critical for host colonization, and SigH-1, which mediates (p)ppGpp-dependent stringent response. Integration of iModulon activities with multi-omics datasets provided mechanistic insights into stress responses and carbon utilization both in vitro and in vivo. This comprehensive TRN framework establishes a foundation for understanding adaptive mechanisms in gut commensals and demonstrates the utility of module-centric analysis for biological discovery in non-model organisms.

1 sitasi en
S2 Open Access 2001
$Q$-Curvature and Poincaré Metrics

C. Fefferman, C. Graham

This article presents a new definition of Branson's Q-curvature in even-dimensional conformal geometry. We derive the Q-curvature as a coefficient in the asymptotic expansion of the formal solution of a boundary problem at infinity for the Laplacian in the Poincare metric associated to the conformal structure. This gives an easy proof of the result of Graham-Zworski that the log coefficient in the volume expansion of a Poincare metric is a multiple of the integral of the Q-curvature, and leads to a definition of a non-local version of the Q-curvature in odd dimensions.

206 sitasi en Mathematics
S2 Open Access 2003
On integral representations of $q$-gamma and $q$-beta functions

A. Sole, V. Kac

We study q-integral representations of the q-gamma and the q-beta functions. This study leads to a very interesting q-constant. As an application of these integral representations, we obtain a simple conceptual proof of a family of identities for Jacobi triple product, including Jacobi's identity, and of Ramanujan's formula for the bilateral hypergeometric series.

203 sitasi en Mathematics

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