High-order asymptotic methods provide accurate, analytic solutions to intractable potential problems.

The classical problem of determining the density and capacity of arrays of potential sources is studied. This corresponds to a wide variety of physical problems such as electrostatic capacitance, stress in elastostatics and the evaporation of fluid droplets. An asymptotic solution is derived that is shown to give excellent accuracy for arbitrary arrays of sources with non-circular footprints, including polygonal footprints. The solution is extensively validated against both experimental and numerical results. We illustrate the power of the solution by showcasing a variety of newly accessible classical problems that may be solved in a rapid, accurate manner.

Glioblastoma extracellular vesicles influence glial cell hyaluronic acid deposition to promote invasiveness.

Background: Infiltration of glioblastoma (GBM) throughout the brain leads to its inevitable recurrence following standard-of-care treatments, such as surgical resection, chemo-, and radiotherapy. A deeper understanding of the mechanisms invoked by GBM to infiltrate the brain is needed to develop approaches to contain the disease and reduce recurrence. The aim of this study was to discover mechanisms through which extracellular vesicles (EVs) released by GBM influence the brain microenvironment to facilitate infiltration, and to determine how altered extracellular matrix (ECM) deposition by glial cells might contribute to this. Methods: CRISPR was used to delete genes, previously established to drive carcinoma invasiveness and EV production, from patient-derived primary and GBM cell lines. We purified and characterized EVs released by these cells, assessed their capacity to foster pro-migratory microenvironments in mouse brain slices, and evaluated the contribution made by astrocyte-derived ECM to this. Finally, we determined how CRISPR-mediated deletion of genes, which we had found to control EV-mediated communication between GBM cells and astrocytes, influenced GBM infiltration when orthotopically injected into CD1-nude mice. Results: GBM cells expressing a p53 mutant (p53R273H) with established pro-invasive gain-of-function release EVs containing a sialomucin, podocalyxin (PODXL), which encourages astrocytes to deposit ECM with increased levels of hyaluronic acid (HA). This HA-rich ECM, in turn, promotes migration of GBM cells. Consistently, CRISPR-mediated deletion of PODXL opposes infiltration of GBM in vivo. Conclusions: This work describes several key components of an EV-mediated mechanism though which GBM cells educate astrocytes to support infiltration of the surrounding healthy brain tissue.

Nuclear-capture of endosomes depletes nuclear G-actin to promote SRF/MRTF activation and cancer cell invasion.

Signals are relayed from receptor tyrosine kinases (RTKs) at the cell surface to effector systems in the cytoplasm and nucleus, and coordination of this process is important for the execution of migratory phenotypes, such as cell scattering and invasion. The endosomal system influences how RTK signalling is coded, but the ways in which it transmits these signals to the nucleus to influence gene expression are not yet clear. Here we show that hepatocyte growth factor, an activator of MET (an RTK), promotes Rab17- and clathrin-dependent endocytosis of EphA2, another RTK, followed by centripetal transport of EphA2-positive endosomes. EphA2 then mediates physical capture of endosomes on the outer surface of the nucleus; a process involving interaction between the nuclear import machinery and a nuclear localisation sequence in EphA2's cytodomain. Nuclear capture of EphA2 promotes RhoG-dependent phosphorylation of the actin-binding protein, cofilin to oppose nuclear import of G-actin. The resulting depletion of nuclear G-actin drives transcription of Myocardin-related transcription factor (MRTF)/serum-response factor (SRF)-target genes to implement cell scattering and the invasive behaviour of cancer cells.

Integrating Advance Care Planning Videos into Surgical Oncologic Care: A Randomized Clinical Trial.

Background: Preoperative advance care planning (ACP) may benefit patients undergoing major surgery. Objective: To evaluate feasibility, safety, and early effectiveness of video-based ACP in a surgical population. Design: Randomized controlled trial with two study arms. Setting: Single, academic, inner-city tertiary care hospital. Subjects: Patients undergoing major cancer surgery were recruited from nine surgical clinics. Of 106 consecutive potential participants, 103 were eligible and 92 enrolled. Interventions: In the intervention arm, patients viewed an ACP video developed by patients, surgeons, palliative care clinicians, and other stakeholders. In the control arm, patients viewed an informational video about the hospital's surgical program. Measurements: Primary Outcomes-ACP content and patient-centeredness in patient-surgeon preoperative conversation. Secondary outcomes-patient Hospital Anxiety and Depression Scale (HADS) score; patient goals of care; patient and surgeon satisfaction; video helpfulness; and medical decision maker designation. Results: Ninety-two patients (target enrollment: 90) were enrolled. The ACP video was successfully integrated with no harm noted. Patient-centeredness was unchanged (incidence rate ratio [IRR] = 1.06, confidence interval [0.87-1.3], p = 0.545), although there were more ACP discussions in the intervention arm (23% intervention vs. 10% control, p = 0.18). While slightly underpowered, study results did not signal that further enrollment would have yielded statistical significance. There were no differences in secondary outcomes other than the intervention video was more helpful (p = 0.007). Conclusions: The ACP video was successfully integrated into surgical care without harm and was thought to be helpful, although video content did not significantly change the ACP content or patient-surgeon communication. Future studies could increase the ACP dose through modifying video content and/or who presents ACP. Trial Registration: clinicaltrials.gov Identifier NCT02489799.

KDM4B is a master regulator of the estrogen receptor signalling cascade.

The importance of the estrogen receptor (ER) in breast cancer (BCa) development makes it a prominent target for therapy. Current treatments, however, have limited effectiveness, and hence the definition of new therapeutic targets is vital. The ER is a member of the nuclear hormone receptor superfamily of transcription factors that requires co-regulator proteins for complete regulation. Emerging evidence has implicated a small number of histone methyltransferase (HMT) and histone demethylase (HDM) enzymes as regulators of ER signalling, including the histone H3 lysine 9 tri-/di-methyl HDM enzyme KDM4B. Two recent independent reports have demonstrated that KDM4B is required for ER-mediated transcription and depletion of the enzyme attenuates BCa growth in vitro and in vivo. Here we show that KDM4B has an overarching regulatory role in the ER signalling cascade by controlling expression of the ER and FOXA1 genes, two critical components for maintenance of the estrogen-dependent phenotype. KDM4B interacts with the transcription factor GATA-3 in BCa cell lines and directly co-activates GATA-3 activity in reporter-based experiments. Moreover, we reveal that KDM4B recruitment and demethylation of repressive H3K9me3 marks within upstream regulatory regions of the ER gene permits binding of GATA-3 to drive receptor expression. Ultimately, our findings confirm the importance of KDM4B within the ER signalling cascade and as a potential therapeutic target for BCa treatment.