A Robin boundary value problem for the Cauchy–Riemann operator in a ring domain

In this paper, we study a Robin condition for the inhomogeneous Cauchy–Riemann equation w z ¯ = f {w_{\bar{z}}=f} in a ring domain R, by reformulating it as a Dirichlet boundary condition.

Ubiquitin proteomics reveals critical targets of the Nse1 RING domain in rDNA and genome stability

Ubiquitination controls numerous cellular processes, and its deregulation is associated to many pathologies. The Nse1 subunit in the Smc5/6 complex contains a RING domain with ubiquitin E3 ligase activity and important functions in genome integrity. However, Nse1-dependent ubiquitin targets remain largely unknown. Here, we use label-free quantitative proteomics to analyse the nuclear ubiquitinome of nse1-C274A RING mutant cells. Our results show that Nse1 impacts on the ubiquitination of several proteins involved in DNA damage tolerance, ribosome biogenesis and metabolism that, importantly, extend beyond canonical functions of the Smc5/6 complex in chromosome segregation. In addition, our analysis uncovers an unexpected connection between Nse1 and RNA polymerase I (RNAP I) ubiquitination. Specifically, Nse1 promotes the ubiquitination of K408 and K410 in A190, the largest subunit of RNAP I, to induce its degradation. We propose that this mechanism contributes to Smc5/6-dependent rDNA disjunction in response to transcriptional elongation defects.

Structural basis for the E3 ligase activity enhancement of yeast Nse2 by SUMO-interacting motifs

Post-translational modification of proteins by ubiquitin and ubiquitin-like modifiers, such as SUMO, are key events in protein homeostasis or DNA damage response. Smc5/6 is a nuclear multi-subunit complex that participates in the recombinational DNA repair processes and is required in the maintenance of chromosome integrity. Nse2 is a subunit of the Smc5/6 complex that possesses SUMO E3 ligase activity by the presence of a SP-RING domain that activates the E2~SUMO thioester for discharge on the substrate. Here we present the crystal structure of the SUMO E3 ligase Nse2 in complex with an E2-SUMO thioester mimetic. In addition to the interface between the SP-RING domain and the E2, the complex reveals how two SIM (SUMO-Interacting Motif) -like motifs in Nse2 are restructured upon binding the donor and E2-backside SUMO during the E3-dependent discharge reaction. Both SIM interfaces are essential in the activity of Nse2 and are required to cope with DNA damage.

Crossover patterning through kinase-regulated condensation and coarsening of recombination nodules

Meiotic recombination is highly regulated to ensure precise segregation of homologous chromosomes. Evidence from diverse organisms indicates that the synaptonemal complex (SC), which assembles between paired chromosomes, plays essential roles in crossover formation and patterning. Several additional “pro-crossover” proteins are also required for recombination intermediates to become crossovers. These typically form multiple foci or recombination nodules along SCs, and later accumulate at fewer, widely spaced sites. Here we report that in C. elegans CDK-2 is required to stabilize all crossover intermediates and stabilizes interactions among pro-crossover factors by phosphorylating MSH-5. Additionally, we show that the conserved RING domain proteins ZHP-3/4 diffuse along the SC and remain dynamic following their accumulation at recombination sites. Based on these and previous findings we propose a model in which recombination nodules arise through spatially restricted biomolecular condensation and then undergo a regulated coarsening process, resulting in crossover interference.

The zinc finger/RING domain protein Unkempt regulates cognitive flexibility

Correct orchestration of nervous system development is a profound challenge that involves coordination of complex molecular and cellular processes. Mechanistic target of rapamycin (mTOR) signaling is a key regulator of nervous system development and synaptic function. The mTOR kinase is a hub for sensing inputs including growth factor signaling, nutrients and energy levels. Activation of mTOR signaling causes diseases with severe neurological manifestations, such as tuberous sclerosis complex and focal cortical dysplasia. However, the molecular mechanisms by which mTOR signaling regulates nervous system development and function are poorly understood. Unkempt is a conserved zinc finger/RING domain protein that regulates neurogenesis downstream of mTOR signaling in Drosophila. Unkempt also directly interacts with the mTOR complex I component Raptor. Here we describe the generation and characterisation of mice with a conditional knockout of Unkempt (UnkcKO) in the nervous system. Loss of Unkempt reduces Raptor protein levels in the embryonic nervous system but does not affect downstream mTORC1 targets. We also show that nervous system development occurs normally in UnkcKO mice. However, we find that Unkempt is expressed in the adult cerebellum and hippocampus and behavioural analyses show that UnkcKO mice have improved memory formation and cognitive flexibility to re-learn. Further understanding of the role of Unkempt in the nervous system will provide novel mechanistic insight into the role of mTOR signaling in learning and memory.

Two redundant ubiquitin-dependent pathways of BRCA1 localization to DNA damage sites

The tumor suppressor BRCA1 accumulates at sites of DNA damage in a ubiquitin-dependent manner. In this work, we revisit the role of the ubiquitin-binding protein RAP80 in BRCA1 recruitment to damaged chromatin. We found that RAP80, or the phosphopeptide-binding residues in the BRCA1 BRCT domains, act redundantly with the BRCA1 RING domain to promote BRCA1 recruitment to DNA double-strand break sites. We show that that RNF8 E3 ubiquitin ligase acts upstream of both the RAP80- and RING-dependent activities whereas RNF168 acts uniquely upstream of the RING domain. The function of the RING domain in BRCA1 recruitment is not solely linked to its role in mediating an interaction with BARD1 since RING mutations that do not impact BARD1 interaction, such as the E2-binding deficient Ile26Ala (I26A) mutation, produce a BRCA1 protein unable to accumulate at DNA damage sites in the absence of RAP80. Cells that combine the BRCA1 I26A mutation and mutations that disable the RAP80-BRCA1 interaction are deficient in RAD51 filament formation and are hypersensitive to poly (ADP-ribose) polymerase inhibition. Our results suggest that in the absence of RAP80, the BRCA1 E3 ligase activity is necessary for the recognition of unmethylated histone H4 Lys20 and histone H2A Lys13/Lys15 ubiquitylation by BARD1 although we cannot rule out the possibility that the RING-E2 complex itself may facilitate ubiquitylated nucleosome recognition in other ways. Finally, given that tumors expressing RING-less BRCA1 isoforms readily acquire resistance to therapy, this work suggests that targeting RAP80, or its interaction with BRCA1, could represent a novel strategy for restoring sensitivity of such tumors to DNA damaging agents.