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Advances in Functional Analysis and Operator Theory

Marat V. Markin, Igor V. Nikolaev and Carsten Trunk, editors. American Mathematical Society, 2024, CONM, volume 798, approx. 248 pp. ISBN: 978-1-4704-7305-1 (print), 978-1-4704-7611-3 (online).

This volume contains the proceedings of the AMS-EMS-SMF Special Session on Advances in Functional Analysis and Operator Theory, held July 18–22,...




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Recent Progress in Function Theory and Operator Theory

Alberto A. Condori, Elodie Pozzi, William T. Ross and Alan A. Sola, editors. American Mathematical Society, 2024, CONM, volume 799, approx. 224 pp. ISBN: 978-1-4704-7246-7 (print), 978-1-4704-7612-0 (online).

This volume contains the proceedings of the AMS Special Session on Recent Progress in Function Theory and Operator Theory, held virtually on April 6,...




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Recent Advances in Noncommutative Algebra and Geometry

K. A. Brown, T. J. Hodges, M. Vancliff and J. J. Zhang, editors. American Mathematical Society, 2024, CONM, volume 801, approx. 288 pp. ISBN: 978-1-4704-7239-9 (print), 978-1-4704-7632-8 (online).

This volume contains the proceedings of the conference Recent Advances and New Directions in the Interplay of Noncommutative Algebra and Geometry, held...




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Recent Progress in Special Functions

Galina Filipuk, editor. American Mathematical Society, 2024, CONM, volume 807, approx. 242 pp. ISBN: 978-1-4704-7429-4 (print), 978-1-4704-7722-6 (online).

This volume contains a collection of papers that focus on recent research in the broad field of special functions.

The articles cover topics...




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Characterization of ????-concavity preserved by the Dirichlet heat flow

Kazuhiro Ishige, Paolo Salani and Asuka Takatsu
Trans. Amer. Math. Soc. 377 (), 5705-5748.
Abstract, references and article information





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On a Torelli Principle for automorphisms of Klein hypersurfaces

Víctor González-Aguilera, Alvaro Liendo, Pedro Montero and Roberto Villaflor Loyola
Trans. Amer. Math. Soc. 377 (), 5483-5511.
Abstract, references and article information






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Smoothness and Lévy concentration function inequalities for distributions of random diagonal sums

Bero Roos
Theor. Probability and Math. Statist. 111 (), 137-151.
Abstract, references and article information




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Unconditional Cesàro convergence of sequences of super-reflexive valued random variables

Abdessamad Dehaj and Mohamed Guessous
Theor. Probability and Math. Statist. 111 (), 1-8.
Abstract, references and article information




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????²-spectrum, growth indicator function and critical exponent on locally symmetric spaces

Lasse L. Wolf and Hong-Wei Zhang
Proc. Amer. Math. Soc. 152 (), 5445-5453.
Abstract, references and article information











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Risk Analysis and Romance





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46 Receive AMS-Simons Research Enhancement Grants for PUI Faculty

Forty-six mathematical scientists have been named recipients of AMS-Simons Research Enhancement Grants for Primarily Undergraduate Institution (PUI) Faculty. Each awardee will receive $3,000 per year for three years. 

The grants foster and support research collaboration by full-time mid-career mathematicians at US institutions that do not offer a mathematics doctoral degree.

This year’s grant recipients hail from 42 institutions across 21 US states. The grants will support their research in several different areas, from number theory to applied mathematics.

This is the grant program’s second cohort, said Sarah Bryant, associate vice president of programs. “Over the first two years, we’ve worked with faculty from 75 different institutions, including 19 minority-serving institutions, which shows just how much this program is expanding and making an impact,” Bryant said. She noted that “in the first year, the grants supported 87 trips, helped produce 70 publications and preprints, and gave awardees the resources needed to collaborate and advance their work.”

The grant allows for any activities that will further the awardee’s research program. Expenses include but are not limited to conference participation, institute visits, collaboration travel (awardee or collaborator), computer equipment or software, family-care expenses, and teaching assistants.

Administration of the award by the grantee’s institution is required; annual discretionary funds for a grantee’s department and administrative funds for a grantee's institution will be available at the end of each grant year.

The grants are made possible through funding from the Simons Foundation and the American Mathematical Society (AMS), as well as Eve, Kirsten, Lenore, and Ada of the Menger family.

Applications for the next cohort are anticipated to open on MathPrograms.org on January 9, 2025. Visit the AMS website to view an informational PowerPoint or sign up to receive email updates about the program. Faculty who applied for but did not receive the 2023 or 2024 awards are encouraged to reapply if they are still eligible for the grant. 




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Ferrini-Mundy Named to National Science Board

Math educator Joan Ferrini-Mundy was one of eight new members named to the National Science Board, announced by President Biden on October 15.

Joan Ferrini-Mundy
Credit: University of Maine

Ferrini-Mundy is the 21st president of the University of Maine and its regional campus, the University of Maine at Machias. She is also Vice Chancellor for Research and Innovation for the University of Maine System. Prior to her presidency, Ferrini-Mundy was the chief operating officer of the National Science Foundation (NSF), which followed six years leading NSF’s Directorate for Education and Human Resources.

An active leader in the math community, Ferrini-Mundy is immediate past chair of the Conference Board of the Mathematical Sciences (CBMS) and a member of the Transforming Post-Secondary Education in Mathematics (TPSE) board.

The National Science Board was established via 1950 legislation that created the National Science Foundation. The Board, together with the NSF Director, helps determine the NSF’s strategic direction. It also serves as an independent body of advisors to both the President and the Congress on policy matters related to science and engineering, including education in science and engineering. The Board consists of 25 members, appointed by the President. Members serve six-year terms and one-third are appointed every two years.

Contact: AMS Communications

* * * * *

The American Mathematical Society is dedicated to advancing research and connecting the diverse global mathematical community through our publications, meetings and conferences, MathSciNet, professional services, advocacy, and awareness programs.




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Woman, 23, had a 'burning sensation' in her stomach. It was the first sign of a rare cancer




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Apple to announce AI wall tablet as soon as March, Bloomberg News reports




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Community scrambles after top insurance company refuses to pay out homeowners following destructive hurricane: 'Denied or closed with no payment'




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2025 Medicare Part B premium increase outpaces both Social Security COLA and inflation




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Scientists uncover a magnetic misunderstanding about Uranus




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Here are 5 signs you’re financially healthy in America even if you don't feel like it — how many do you show?




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Doctor’s ‘pizza topping’ trick to tell the difference between hemorrhoids and a sign of colon cancer




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Ski resort announces immediate closure as relentless threat brings fewer visitors and increases debts: 'I feel like I'm in mourning'




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‘My Ting Different’ - Tosh Alexander blends R&B and dancehall on new single

Dynamic singer Tosh Alexander has been lighting up the music scene with her latest track, ' My Ting Different', a thrilling collaboration with American rapper and songwriter Lady London. The song fuses R...




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Beyoncé makes Grammy history

NEW YORK (AP): When it comes to the 2025 Grammy Award nominations, Cowboy Carter rules. Its superstar singer, Beyonce, leads the nods with 11, bringing her career total to 99 nominations. That makes her the most nominated artiste in Grammy history...




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‘One-burner’ life - Vybz Kartel credits fiancée for new chapter

Long hailed as dancehall's most controversial figure, Vybz Kartel has always commanded the spotlight with his edgy lyrics and unfiltered persona. But since his release from prison in July, Kartel has begun to show a surprising transformation that'...




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Near-death experience inspires Benzly Hype’s album

An out-of-body experience is the inspiration behind Benzly Hype's latest album Star Its The 7th Year. Released on November 7, the entertainer said the project was done to bring back joy in music and will leave its listeners in an upbeat mood....




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Making the dead look better - Jamaican morticians get advanced skills in embalming and cosmetics

For many Jamaicans, the deceased are more than just loved ones who have passed on; they are cherished family members who deserve to look as presentable as they did in life. In a culture where the appearance of the deceased is paramount, morticians...




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Manchester man charged with smoking ganja in public

Twenty-eight-year-old labourer Michael Ennis, of Manning's Hill district in Manchester, has been charged with smoking ganja in a public place following an incident in May Pen, Clarendon on Monday.




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Haiti's main airport and capital frozen after a day of violence

PORT-AU-PRINCE, Haiti (AP) — Haiti's main airport remained closed on Tuesday, a day after violence erupted as the country swore in its new prime minister in a politically tumultuous transition.




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SAS Notes for SAS®9 - 66562: Negative values appear for distinct counts in SAS Visual Analytics reports

When using the distinct count function in SAS Visual Analytics reports, you might find that a negative value is displayed instead of the actual distinct count: imgalt="distinct_count" src="{fusion_66562_1_disti




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Quantitative phosphoproteomic analysis reveals involvement of PD-1 in multiple T cell functions [Signal Transduction]

Programmed cell death protein 1 (PD-1) is a critical inhibitory receptor that limits excessive T cell responses. Cancer cells have evolved to evade these immunoregulatory mechanisms by upregulating PD-1 ligands and preventing T cell–mediated anti-tumor responses. Consequently, therapeutic blockade of PD-1 enhances T cell–mediated anti-tumor immunity, but many patients do not respond and a significant proportion develop inflammatory toxicities. To improve anti-cancer therapy, it is critical to reveal the mechanisms by which PD-1 regulates T cell responses. We performed global quantitative phosphoproteomic interrogation of PD-1 signaling in T cells. By complementing our analysis with functional validation assays, we show that PD-1 targets tyrosine phosphosites that mediate proximal T cell receptor signaling, cytoskeletal organization, and immune synapse formation. PD-1 ligation also led to differential phosphorylation of serine and threonine sites within proteins regulating T cell activation, gene expression, and protein translation. In silico predictions revealed that kinase/substrate relationships engaged downstream of PD-1 ligation. These insights uncover the phosphoproteomic landscape of PD-1–triggered pathways and reveal novel PD-1 substrates that modulate diverse T cell functions and may serve as future therapeutic targets. These data are a useful resource in the design of future PD-1–targeting therapeutic approaches.




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Carnosine synthase deficiency is compatible with normal skeletal muscle and olfactory function but causes reduced olfactory sensitivity in aging mice [Developmental Biology]

Carnosine (β-alanyl-l-histidine) and anserine (β-alanyl-3-methyl-l-histidine) are abundant peptides in the nervous system and skeletal muscle of many vertebrates. Many in vitro and in vivo studies demonstrated that exogenously added carnosine can improve muscle contraction, has antioxidant activity, and can quench various reactive aldehydes. Some of these functions likely contribute to the proposed anti-aging activity of carnosine. However, the physiological role of carnosine and related histidine-containing dipeptides (HCDs) is not clear. In this study, we generated a mouse line deficient in carnosine synthase (Carns1). HCDs were undetectable in the primary olfactory system and skeletal muscle of Carns1-deficient mice. Skeletal muscle contraction in these mice, however, was unaltered, and there was no evidence for reduced pH-buffering capacity in the skeletal muscle. Olfactory tests did not reveal any deterioration in 8-month-old mice lacking carnosine. In contrast, aging (18–24-month-old) Carns1-deficient mice exhibited olfactory sensitivity impairments that correlated with an age-dependent reduction in the number of olfactory receptor neurons. Whereas we found no evidence for elevated levels of lipoxidation and glycation end products in the primary olfactory system, protein carbonylation was increased in the olfactory bulb of aged Carns1-deficient mice. Taken together, these results suggest that carnosine in the olfactory system is not essential for information processing in the olfactory signaling pathway but does have a role in the long-term protection of olfactory receptor neurons, possibly through its antioxidant activity.




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ARID4B is critical for mouse embryonic stem cell differentiation towards mesoderm and endoderm, linking epigenetics to pluripotency exit [Developmental Biology]

Distinct cell types emerge from embryonic stem cells through a precise and coordinated execution of gene expression programs during lineage commitment. This is established by the action of lineage specific transcription factors along with chromatin complexes. Numerous studies have focused on epigenetic factors that affect embryonic stem cells (ESC) self-renewal and pluripotency. However, the contribution of chromatin to lineage decisions at the exit from pluripotency has not been as extensively studied. Using a pooled epigenetic shRNA screen strategy, we identified chromatin-related factors critical for differentiation toward mesodermal and endodermal lineages. Here we reveal a critical role for the chromatin protein, ARID4B. Arid4b-deficient mESCs are similar to WT mESCs in the expression of pluripotency factors and their self-renewal. However, ARID4B loss results in defects in up-regulation of the meso/endodermal gene expression program. It was previously shown that Arid4b resides in a complex with SIN3A and HDACS 1 and 2. We identified a physical and functional interaction of ARID4B with HDAC1 rather than HDAC2, suggesting functionally distinct Sin3a subcomplexes might regulate cell fate decisions Finally, we observed that ARID4B deficiency leads to increased H3K27me3 and a reduced H3K27Ac level in key developmental gene loci, whereas a subset of genomic regions gain H3K27Ac marks. Our results demonstrate that epigenetic control through ARID4B plays a key role in the execution of lineage-specific gene expression programs at pluripotency exit.




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Importance of endothelial Hey1 expression for thoracic great vessel development and its distal enhancer for Notch-dependent endothelial transcription [Gene Regulation]

Thoracic great vessels such as the aorta and subclavian arteries are formed through dynamic remodeling of embryonic pharyngeal arch arteries (PAAs). Previous work has shown that loss of a basic helix-loop-helix transcription factor Hey1 in mice causes abnormal fourth PAA development and lethal great vessel anomalies resembling congenital malformations in humans. However, how Hey1 mediates vascular formation remains unclear. In this study, we revealed that Hey1 in vascular endothelial cells, but not in smooth muscle cells, played essential roles for PAA development and great vessel morphogenesis in mouse embryos. Tek-Cre–mediated Hey1 deletion in endothelial cells affected endothelial tube formation and smooth muscle differentiation in embryonic fourth PAAs and resulted in interruption of the aortic arch and other great vessel malformations. Cell specificity and signal responsiveness of Hey1 expression were controlled through multiple cis-regulatory regions. We found two distal genomic regions that had enhancer activity in endothelial cells and in the pharyngeal epithelium and somites, respectively. The novel endothelial enhancer was conserved across species and was specific to large-caliber arteries. Its transcriptional activity was regulated by Notch signaling in vitro and in vivo, but not by ALK1 signaling and other transcription factors implicated in endothelial cell specificity. The distal endothelial enhancer was not essential for basal Hey1 expression in mouse embryos but may likely serve for Notch-dependent transcriptional control in endothelial cells together with the proximal regulatory region. These findings help in understanding the significance and regulation of endothelial Hey1 as a mediator of multiple signaling pathways in embryonic vascular formation.




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Calreticulin enhances the secretory trafficking of a misfolded {alpha}-1-antitrypsin [Protein Structure and Folding]

α1-antitrypsin (AAT) regulates the activity of multiple proteases in the lungs and liver. A mutant of AAT (E342K) called ATZ forms polymers that are present at only low levels in the serum and induce intracellular protein inclusions, causing lung emphysema and liver cirrhosis. An understanding of factors that can reduce the intracellular accumulation of ATZ is of great interest. We now show that calreticulin (CRT), an endoplasmic reticulum (ER) glycoprotein chaperone, promotes the secretory trafficking of ATZ, enhancing the media:cell ratio. This effect is more pronounced for ATZ than with AAT and is only partially dependent on the glycan-binding site of CRT, which is generally relevant to substrate recruitment and folding by CRT. The CRT-related chaperone calnexin does not enhance ATZ secretory trafficking, despite the higher cellular abundance of calnexin-ATZ complexes. CRT deficiency alters the distributions of ATZ-ER chaperone complexes, increasing ATZ-BiP binding and inclusion body formation and reducing ATZ interactions with components required for ER-Golgi trafficking, coincident with reduced levels of the protein transport protein Sec31A in CRT-deficient cells. These findings indicate a novel role for CRT in promoting the secretory trafficking of a protein that forms polymers and large intracellular inclusions. Inefficient secretory trafficking of ATZ in the absence of CRT is coincident with enhanced accumulation of ER-derived ATZ inclusion bodies. Further understanding of the factors that control the secretory trafficking of ATZ and their regulation by CRT could lead to new therapies for lung and liver diseases linked to AAT deficiency.




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{alpha}2-Macroglobulin-like protein 1 can conȷugate and inhibit proteases through their hydroxyl groups, because of an enhanced reactivity of its thiol ester [Protein Structure and Folding]

Proteins in the α-macroglobulin (αM) superfamily use thiol esters to form covalent conjugation products upon their proteolytic activation. αM protease inhibitors use theirs to conjugate proteases and preferentially react with primary amines (e.g. on lysine side chains), whereas those of αM complement components C3 and C4B have an increased hydroxyl reactivity that is conveyed by a conserved histidine residue and allows conjugation to cell surface glycans. Human α2-macroglobulin–like protein 1 (A2ML1) is a monomeric protease inhibitor but has the hydroxyl reactivity–conveying histidine residue. Here, we have investigated the role of hydroxyl reactivity in a protease inhibitor by comparing recombinant WT A2ML1 and the A2ML1 H1084N mutant in which this histidine is removed. Both of A2ML1s' thiol esters were reactive toward the amine substrate glycine, but only WT A2ML1 reacted with the hydroxyl substrate glycerol, demonstrating that His-1084 increases the hydroxyl reactivity of A2ML1's thiol ester. Although both A2ML1s conjugated and inhibited thermolysin, His-1084 was required for the conjugation and inhibition of acetylated thermolysin, which lacks primary amines. Using MS, we identified an ester bond formed between a thermolysin serine residue and the A2ML1 thiol ester. These results demonstrate that a histidine-enhanced hydroxyl reactivity can contribute to protease inhibition by an αM protein. His-1084 did not improve A2ML1's protease inhibition at pH 5, indicating that A2ML1's hydroxyl reactivity is not an adaption to its acidic epidermal environment.




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Heme oxygenase-2 is post-translationally regulated by heme occupancy in the catalytic site [Protein Structure and Folding]

Heme oxygenase-2 (HO2) and -1 (HO1) catalyze heme degradation to biliverdin, CO, and iron, forming an essential link in the heme metabolism network. Tight regulation of the cellular levels and catalytic activities of HO1 and HO2 is important for maintaining heme homeostasis. HO1 expression is transcriptionally regulated; however, HO2 expression is constitutive. How the cellular levels and activity of HO2 are regulated remains unclear. Here, we elucidate the mechanism of post-translational regulation of cellular HO2 levels by heme. We find that, under heme-deficient conditions, HO2 is destabilized and targeted for degradation, suggesting that heme plays a direct role in HO2 regulation. HO2 has three heme binding sites: one at its catalytic site and the others at its two heme regulatory motifs (HRMs). We report that, in contrast to other HRM-containing proteins, the cellular protein level and degradation rate of HO2 are independent of heme binding to the HRMs. Rather, under heme deficiency, loss of heme binding to the catalytic site destabilizes HO2. Consistently, an HO2 catalytic site variant that is unable to bind heme exhibits a constant low protein level and an enhanced protein degradation rate compared with the WT HO2. Finally, HO2 is degraded by the lysosome through chaperone-mediated autophagy, distinct from other HRM-containing proteins and HO1, which are degraded by the proteasome. These results reveal a novel aspect of HO2 regulation and deepen our understanding of HO2's role in maintaining heme homeostasis, paving the way for future investigation into HO2's pathophysiological role in heme deficiency response.




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Representative cancer-associated U2AF2 mutations alter RNA interactions and splicing [Molecular Bases of Disease]

High-throughput sequencing of hematologic malignancies and other cancers has revealed recurrent mis-sense mutations of genes encoding pre-mRNA splicing factors. The essential splicing factor U2AF2 recognizes a polypyrimidine-tract splice-site signal and initiates spliceosome assembly. Here, we investigate representative, acquired U2AF2 mutations, namely N196K or G301D amino acid substitutions associated with leukemia or solid tumors, respectively. We determined crystal structures of the wild-type (WT) compared with N196K- or G301D-substituted U2AF2 proteins, each bound to a prototypical AdML polypyrimidine tract, at 1.5, 1.4, or 1.7 Å resolutions. The N196K residue appears to stabilize the open conformation of U2AF2 with an inter-RNA recognition motif hydrogen bond, in agreement with an increased apparent RNA-binding affinity of the N196K-substituted protein. The G301D residue remains in a similar position as the WT residue, where unfavorable proximity to the RNA phosphodiester could explain the decreased RNA-binding affinity of the G301D-substituted protein. We found that expression of the G301D-substituted U2AF2 protein reduces splicing of a minigene transcript carrying prototypical splice sites. We further show that expression of either N196K- or G301D-substituted U2AF2 can subtly alter splicing of representative endogenous transcripts, despite the presence of endogenous, WT U2AF2 such as would be present in cancer cells. Altogether, our results demonstrate that acquired U2AF2 mutations such as N196K and G301D are capable of dysregulating gene expression for neoplastic transformation.




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Antibiotic binding releases autoinhibition of the TipA multidrug-resistance transcriptional regulator [Gene Regulation]

Investigations of bacterial resistance strategies can aid in the development of new antimicrobial drugs as a countermeasure to the increasing worldwide prevalence of bacterial antibiotic resistance. One such strategy involves the TipA class of transcription factors, which constitute minimal autoregulated multidrug resistance (MDR) systems against diverse antibiotics. However, we have insufficient information regarding how antibiotic binding induces transcriptional activation to design molecules that could interfere with this process. To learn more, we determined the crystal structure of SkgA from Caulobacter crescentus as a representative TipA protein. We identified an unexpected spatial orientation and location of the antibiotic-binding TipAS effector domain in the apo state. We observed that the α6–α7 region of the TipAS domain, which is canonically responsible for forming the lid of antibiotic-binding cleft to tightly enclose the bound antibiotic, is involved in the dimeric interface and stabilized via interaction with the DNA-binding domain in the apo state. Further structural and biochemical analyses demonstrated that the unliganded TipAS domain sterically hinders promoter DNA binding but undergoes a remarkable conformational shift upon antibiotic binding to release this autoinhibition via a switch of its α6–α7 region. Hence, the promoters for MDR genes including tipA and RNA polymerases become available for transcription, enabling efficient antibiotic resistance. These insights into the molecular mechanism of activation of TipA proteins advance our understanding of TipA proteins, as well as bacterial MDR systems, and may provide important clues to block bacterial resistance.




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Mapping the transition state for a binding reaction between ancient intrinsically disordered proteins [Molecular Biophysics]

Intrinsically disordered protein domains often have multiple binding partners. It is plausible that the strength of pairing with specific partners evolves from an initial low affinity to a higher affinity. However, little is known about the molecular changes in the binding mechanism that would facilitate such a transition. We previously showed that the interaction between two intrinsically disordered domains, NCBD and CID, likely emerged in an ancestral deuterostome organism as a low-affinity interaction that subsequently evolved into a higher-affinity interaction before the radiation of modern vertebrate groups. Here we map native contacts in the transition states of the low-affinity ancestral and high-affinity human NCBD/CID interactions. We show that the coupled binding and folding mechanism is overall similar but with a higher degree of native hydrophobic contact formation in the transition state of the ancestral complex and more heterogeneous transient interactions, including electrostatic pairings, and an increased disorder for the human complex. Adaptation to new binding partners may be facilitated by this ability to exploit multiple alternative transient interactions while retaining the overall binding and folding pathway.




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Evolving the naturally compromised chorismate mutase from Mycobacterium tuberculosis to top performance [Protein Structure and Folding]

Chorismate mutase (CM), an essential enzyme at the branch-point of the shikimate pathway, is required for the biosynthesis of phenylalanine and tyrosine in bacteria, archaea, plants, and fungi. MtCM, the CM from Mycobacterium tuberculosis, has less than 1% of the catalytic efficiency of a typical natural CM and requires complex formation with 3-deoxy-d-arabino-heptulosonate 7-phosphate synthase for high activity. To explore the full potential of MtCM for catalyzing its native reaction, we applied diverse iterative cycles of mutagenesis and selection, thereby raising kcat/Km 270-fold to 5 × 105 m−1s−1, which is even higher than for the complex. Moreover, the evolutionarily optimized autonomous MtCM, which had 11 of its 90 amino acids exchanged, was stabilized compared with its progenitor, as indicated by a 9 °C increase in melting temperature. The 1.5 Å crystal structure of the top-evolved MtCM variant reveals the molecular underpinnings of this activity boost. Some acquired residues (e.g. Pro52 and Asp55) are conserved in naturally efficient CMs, but most of them lie beyond the active site. Our evolutionary trajectories reached a plateau at the level of the best natural enzymes, suggesting that we have exhausted the potential of MtCM. Taken together, these findings show that the scaffold of MtCM, which naturally evolved for mediocrity to enable inter-enzyme allosteric regulation of the shikimate pathway, is inherently capable of high activity.