Weakly measurable cardinals

In this article, we introduce the notion of weakly measurable cardinal, a new large cardinal concept obtained by weakening the familiar concept of a measurable cardinal. Specifically, a cardinal κ is weakly measurable if for any collection $\mathcal {A}$ containing at most κ⁺ many subsets of κ, there exists a nonprincipal κ‐complete filter on κ measuring all sets in $\mathcal {A}$. Every measurable cardinal is weakly measurable, but a weakly measurable cardinal need not be measurable. Moreover, while the GCH cannot fail first at a measurable cardinal, I will show that it can fail first at a weakly measurable cardinal. More generally, if κ is measurable, then we can make its weak measurability indestructible by the forcing Add(κ, η) for any η while forcing the GCH to hold below κ. Nevertheless, I shall prove that weakly measurable cardinals and measurable cardinals are equiconsistent. © 2011 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim     

微环境促进的侵袭性肿瘤生长的元胞自动机模拟

肿瘤的侵袭和转移行为, 常常是导致病人的死亡的原因. 而人们对这些由复杂的肿瘤宿主以及肿瘤细胞与细胞之间相互作用而产生的群体性行为知之甚少. 对这一过程了解的加深, 需要多学科间的合作. 在本篇文章中, 作者将简要回顾肿瘤物理领域的一种新手段, 即近年来由作者参与的通过元胞自动机(CA)模型来研究微环境促进的实体瘤侵袭性生长的研究, 该模型整合了一系列微观的肿瘤宿主相互作用, 包含了肿瘤细胞对细胞外基质的降解, 肿瘤细胞趋向养分的迁移, 肿瘤生长导致的局部组织压力累积以及该压力对局部的肿瘤宿主界面稳定性的影响, 并且, 肿瘤生长时细胞间的粘连也被明确地考虑进来. 该元胞自动机模型能成功地重现出一系列的标志性的肿瘤侵袭行为, 这有力地表明出该模型的有效性和预测能力. 这一模型, 如果能与临床数据结合, 理论上能够拓展从医学数据中得到的现有结论, 帮助设计新的实验, 检验假说, 并且在实验难以检测到的情形下, 预测肿瘤的行为, 协助癌症的早期诊断和预后, 并针对不同病人, 提出最优的个体化医疗方案.     

Acute and Subacute Awake Injection Laryngoplasty for Thoracic Surgery Patients

SUMMARY: The rehabilitation of glottic incompetence by injection laryngoplasty is important in the management of thoracic surgery patients with vocal cord paralysis. This group of patients presents special considerations that favor injection under local anesthesia. The objective of this study is to characterize our experience with this minimally invasive approach in both the acute and subacute settings. The study was conducted using a retrospective chart review. From a database of 108 patients who received awake percutaneous injection laryngoplasty over a 3-year period, 15 cases were identified that underwent augmentation shortly following thoracic surgery. These records were reviewed for patient demographics, clinical characteristics, complications, and short-term outcomes. Fifteen patients were identified (12 male, 3 female); the age range for the group was 18-91 years (median=55 years). All the patients reported vocal improvement following injection; all 15 also were improved by perceptual assessment. Five of six dysphagic patients improved following injection. One patient's injection was aborted due to vocal fold edema; no significant bleeding or airway embarrassment was observed. No procedures were terminated because of patient discomfort. Awake percutaneous injection laryngoplasty for vocal paralysis can be performed safely in the postoperative thoracic surgery patient. Swallowing and voice complaints were almost universally improved following treatment. For patients who cannot tolerate or choose not to have open thyroplasty or vocal fold injection under general anesthesia, this procedure may offer a safe and effective alternative.     

Cine-MRI and P-MRS for evaluation of myocardial energy metabolism and function following coronary artery bypass graft

Previous studies investigated the effect of successful coronary artery bypass grafting (CABG) upon left ventricular function. The relationship between myocardial metabolism and heart function after CABG remains unclear. We investigated the relationship between high-energy phosphate (HEP) and cardiac function following CABG using cine magnetic resonance imaging (cine-MRI) and phosphorus-31 magnetic resonance spectroscopy (³¹P-MRS). A retrospective study was approved by the institutional review board. MRI and ³¹P-MRS examinations were reviewed of 37 patients with multivessel disease who underwent CABG. 13 of these patients selected for the retrospective analysis had ≥70% stenosis in the proximal left anterior descending artery (LAD) and left ventricular ejection fraction (LVEF) <40%. LVEF was evaluated using cine-MRI. HEP such as phosphocreatine (PCr) and adenosine triphosphate (β-ATP) was measured using ³¹P-MRS to calculate PCr/β-ATP ratio. Cine-MRI and ³¹P-MRS measurements were performed before and after CABG, respectively. Ten normal healthy volunteers served as controls. ³¹P-MRS in 13 patients showed that post-CABG PCr/β-ATP ratio was significantly higher than that of pre-CABG (pre-CABG vs. post-CABG, 1.43±0.24 vs. 1.71±0.29, P<.05), but both ratios were significantly lower than control group (2.13±0.21, P<.05). With the change of the ratio, the left ventricle function was significantly improved (LVEF: pre-CABG vs. post-CABG: 35.7±12.9 vs. 45.6±17.2, P<.05).     

Multivariate analysis of combined Raman and fibre‐optic reflectance spectra for the identification of binder materials in simulated medieval paints

The non‐invasive identification of paint materials used in works of art is essential, both for preserving and restoring them, and also for understanding and verifying the history surrounding their creation. As such, the development of suitable non‐invasive techniques has received much interest in recent years. We have investigated the use of Fourier transform (FT)‐Raman spectroscopy and fibre‐optic reflectance spectroscopy (FORS), together with multivariate principal‐component analysis (PCA) techniques, in order to identify the pigment and binding materials used in made‐up samples representative of real artwork. We demonstrate that both types of spectroscopy provide complementary information which can be used to identify the pigments and binders in paint samples. We show that PCA with FT‐Raman spectra can be used to assist in the identification of oil‐based binders, and that the additional data provided by FORS spectra enables PCA on combined spectra to identify more complex proteinaceious and polysaccharide‐based binding media. The results presented here demonstrate that multivariate analyses of lead‐based paints, using data measured by FT‐Raman and FORS in conjunction, have much potential for identifying individual pigments and binders in paint samples. This provides a path towards computer‐assisted characterisation of paint materials on artwork. Copyright © 2013 John Wiley & Sons, Ltd.     

A Degradable Sustained-Release Drug Delivery System for Bleb-Forming Glaucoma Surgery

Fibrosis of the filtering bleb is one of the main causes of failure after bleb-forming glaucoma surgery. Intraoperative application of mitomycin C (MMC) is the current gold standard to reduce the fibrotic response. However, MMC is cytotoxic and one-time application is often insufficient. A sustained-release drug delivery system (DDS), loaded with MMC, may be less cytotoxic and equally or more effective. Two degradable (polycaprolactone (PCL) and polylactic-co-glycolic acid (PLGA)) MMC-loaded DDSs are developed. Release kinetics are first assessed in vitro followed by rabbit implants in conjunction with the PRESERFLO MicroShunt. As a control, the MicroShunt is implanted with adjunctive use of a MMC solution. Rabbits are euthanized at postoperative day (POD) 28 and 90. The PLGA and PCL DDSs release (on average) 99% and 75% of MMC, respectively. All groups show functioning blebs until POD 90. Rabbits implanted with a DDS show more inflammation with avascular thin-walled blebs when compared to the control. However, collagen is more loosely arranged. The PLGA DDS shows less inflammation, less foreign body response (FBR), and more complete degradation at POD 90 when compared to the PCL DDS. Further optimization with regard to dosage is required to reduce side effects to the conjunctiva.