Finite-Time Blow-up of Solutions of an Aggregation Equation in <Emphasis Type="Italic">R</Emphasis><Superscript><Emphasis Type="Italic">n</Emphasis></Superscript>

We consider the aggregation equation in R ⁿ , n ≥ 2, where K is a rotationally symmetric, nonnegative decaying kernel with a Lipschitz point at the origin, e.g. K(x) = e ^−|x|. We prove finite-time blow-up of solutions from specific smooth initial data, for which the problem is known to have short time existence of smooth solutions.     

New aldehyde tag sequences identified by screening formylglycine generating enzymes in vitro and in vivo

Formylglycine generating enzyme (FGE) performs a critical posttranslational modification of type I sulfatases, converting cysteine within the motif CxPxR to the aldehyde-bearing residue formylglycine (FGly). This concise motif can be installed within heterologous proteins as a genetically encoded "aldehyde tag" for site-specific labeling with aminooxy- or hydrazide-functionalized probes. In this report, we screened FGEs from M. tuberculosis and S. coelicolor against synthetic peptide libraries and identified new substrate sequences that diverge from the canonical motif. We found that E. coli's FGE-like activity is similarly promiscuous, enabling the use of novel aldehyde tag sequences for in vivo modification of recombinant proteins.     

Synthesis of lipidated green fluorescent protein and its incorporation in supported lipid bilayers

Herein we report a semisynthetic method of producing membrane-anchored proteins. Ligation of synthetic lipids with designed anchor structures to proteins was performed using native chemical ligation (NCL) of a C-terminal peptide thioester and an N-terminal cysteine lipid. This strategy mimics the natural glycosylphosphatidylinositol (GPI) linkage found in many natural membrane-associated proteins; however, the synthetic method utilizes simple lipid anchors without glycans. Synthetically lipidated recombinant green fluorescent protein (GFP) was shown to be stably anchored to the membrane, and its lateral fluidity was quantitatively characterized by direct fluorescence imaging in supported membranes. Circumventing the steps of purification from native cell membranes, this methodology facilitates the reconstitution of membrane-associated proteins.     

Fast estimation of multivariate spatiotemporal Hawkes processes and network reconstruction

Annals of the Institute of Statistical Mathematics - We present a fast, accurate estimation method for multivariate Hawkes self-exciting point processes widely used in seismology, criminology,...     

Acute Modulation of Mycobacterial Cell Envelope Biogenesis by Front‐Line Tuberculosis Drugs

Front‐line tuberculosis (TB) drugs have been characterized extensively in vitro and in vivo with respect to gene expression and cell viability. However, little work has been devoted to understanding their effects on the physiology of the cell envelope, one of the main targets of this clinical regimen. Herein, we use metabolic labeling methods to visualize the effects of TB drugs on cell envelope dynamics in mycobacterial species. We developed a new fluorophore–trehalose conjugate to visualize trehalose monomycolates of the mycomembrane using super‐resolution microscopy. We also probed the relationship between mycomembrane and peptidoglycan dynamics using a dual metabolic labeling strategy. Finally, we found that metabolic labeling of both cell envelope structures reports on drug effects on cell physiology in two hours, far faster than a genetic sensor of cell envelope stress. Our work provides insight into acute drug effects on cell envelope biogenesis in live mycobacteria.     

Sulfotransferases and sulfatases in mycobacteria

Analysis of the genomes of M. tuberculosis, M. leprae, M. smegmatis, and M. avium has revealed a large family of genes homologous to known sulfotransferases. Despite reports detailing a suite of sulfated glycolipids in many mycobacteria, a corresponding family of sulfotransferase genes remains uncharacterized. Here, a sequence-based analysis of newly discovered mycobacterial sulfotransferase genes, named stf1-stf10, is presented. Interestingly, two sulfotransferase genes are highly similar to mammalian sulfotransferases, increasing the list of mycobacterial eukaryotic-like protein families. The sulfotransferases join an equally complex family of mycobacterial sulfatases: a large family of sulfatase genes has been found in all of the mycobacterial genomes examined. As sulfated molecules are common mediators of cell-cell interactions, the sulfotransferases and sulfatases may be involved in regulating host-pathogen interactions.