The interaction of a gap with a free boundary in a two dimensional dimer system

Let $\ell$ be a fixed vertical lattice line of the unit triangular lattice in the plane, and let \Cal H be the half plane to the left of $\ell$. We consider lozenge tilings of \Cal H that have a triangular gap of side-length two and in which $\ell$ is a free boundary - i.e., tiles are allowed to protrude out half-way across $\ell$. We prove that the correlation function of this gap near the free boundary has asymptotics $\frac{1}{4\pi r}$, $r\to\infty$, where $r$ is the distance from the gap to the free boundary. This parallels the electrostatic phenomenon by which the field of an electric charge near a conductor can be obtained by the method of images.Comment: 34 pages, AmS-Te

Probing the local lipid environment of the Rhodobacter sphaeroides cytochrome bc(1) and Synechocystis sp PCC 6803 cytochrome b(6)f complexes with styrene maleic acid

Intracytoplasmic vesicles (chromatophores) in the photosynthetic bacteriumRhodobacter sphaeroidesrepresent aminimal structural and functional unit for absorbing photons and utilising their energy for the generation ofATP. The cytochromebc1complex (cytbc1) is one of the four major components of the chromatophore alongsidethe reaction centre-light harvesting 1-PufX core complex (RC-LH1-PufX), the light-harvesting 2 complex (LH2),and ATP synthase. Although the membrane organisation of these complexes is known, their local lipid en-vironments have not been investigated. Here we utilise poly(styrene-alt-maleic acid) (SMA) co-polymers as a toolto simultaneously determine the local lipid environments of the RC-LH1-PufX, LH2 and cytbc1complexes. SMAhas previously been reported to effectively solubilise complexes in lipid-rich membrane regions whilst leavinglipid-poor ordered protein arrays intact. Here we show that SMA solubilises cytbc1complexes with an efficiencyof nearly 70%, whereas solubilisation of RC-LH1-PufX and LH2 was only 10% and 22% respectively. This highsusceptibility of cytbc1to SMA solubilisation is consistent with this complex residing in a locally lipid-richregion. SMA solubilised cytbc1complexes retain their native dimeric structure and co-purify with 56 ± 6phospholipids from the chromatophore membrane. We extended this approach to the model cyanobacteriumSynechocystissp. PCC 6803, and show that the cytochromeb6fcomplex (cytb6f) and Photosystem II (PSII)complexes are susceptible to SMA solubilisation, suggesting they also reside in lipid-rich environments. Thus,lipid-rich membrane regions could be a general requirement for cytbc1/cytb6fcomplexes, providing a favourablelocal solvent to promote rapid quinol/quinone binding and release at the Q0and Qisites

Horizontal Branch Stars: The Interplay between Observations and Theory, and Insights into the Formation of the Galaxy

We review HB stars in a broad astrophysical context, including both variable and non-variable stars. A reassessment of the Oosterhoff dichotomy is presented, which provides unprecedented detail regarding its origin and systematics. We show that the Oosterhoff dichotomy and the distribution of globular clusters (GCs) in the HB morphology-metallicity plane both exclude, with high statistical significance, the possibility that the Galactic halo may have formed from the accretion of dwarf galaxies resembling present-day Milky Way satellites such as Fornax, Sagittarius, and the LMC. A rediscussion of the second-parameter problem is presented. A technique is proposed to estimate the HB types of extragalactic GCs on the basis of integrated far-UV photometry. The relationship between the absolute V magnitude of the HB at the RR Lyrae level and metallicity, as obtained on the basis of trigonometric parallax measurements for the star RR Lyrae, is also revisited, giving a distance modulus to the LMC of (m-M)_0 = 18.44+/-0.11. RR Lyrae period change rates are studied. Finally, the conductive opacities used in evolutionary calculations of low-mass stars are investigated. [ABRIDGED]Comment: 56 pages, 22 figures. Invited review, to appear in Astrophysics and Space Scienc

Ripples in a pond: Do social work students need to learn about terrorism?

In the face of heightened awareness of terrorism, however it is defined, the challenges for social work are legion. Social work roles may include working with the military to ensure the well-being of service-men and women and their families when bereaved or injured, as well as being prepared to support the public within the emergency context of an overt act of terrorism. This paper reviews some of the literature concerning how social work responds to confl ict and terrorism before reporting a smallscale qualitative study examining the views of social work students, on a qualifying programme in the UK, of terrorism and the need for knowledge and understanding as part of their education

Techniques for surgical retrieval of sperm prior to ICSI for azoospermia.

Contains fulltext : 50959.pdf (publisher's version ) (Closed access)BACKGROUND: Azoospermia, the absence of sperm in ejaculated semen, is the most severe form of male factor infertility and is present in approximately 5% of all investigated infertile couples. The advent of intra-cytoplasmic sperm injection (ICSI), however, has transformed treatment of this type of severe male factor infertility. Sperm can be retrieved for ICSI from either the epididymis or the testis depending on the type of azoospermia. OBJECTIVES: To evaluate the efficacy of the various surgical retrieval techniques for men with obstructive or non obstructive azoospermia prior to ICSI. SEARCH STRATEGY: We searched the Cochrane Menstrual Disorders and Subfertility Group Trials Register (searched 12 Jan 2005), Cochrane Central Register of Controlled Trials (The Cochrane Library Issue 4, 2004), MEDLINE (1966 to Nov 2004), EMBASE (1980 to Dec 2004), and Biological Abstracts (1980 to Nov 2004) and reference lists of articles. SELECTION CRITERIA: Randomised controlled trials (RCTs) comparing the effectiveness of sperm retrieval techniques in men with azoospermia prior to ICSI. Due to the lack of RCTs, non-randomised trials that used the participants as their own control, were also considered in the review but not included in the meta-analysis. DATA COLLECTION AND ANALYSIS: Two reviewers independently assessed trial quality and extracted data. Study authors were contacted for additional information. MAIN RESULTS: Two trials involving 98 men were included. The first small RCT had 59 participants and compared two epididymal techniques. The trial gave limited evidence that microsurgical epididymal sperm aspiration (MESA) achieved significantly lower pregnancy (One pregnancy in 29 procedures compared with seven pregnancies in 30 procedures, OR 0.19, 95% CI 0.04 to 0.83) and fertilisation rates (OR 0.16, 95% CI 0.05 to 0.48) than the micropuncture with perivascular nerve stimulation technique. The other RCT comparing two testicular techniques in 39 participants gave no statistically significant evidence about the superiority of the ultrasound guided aspiration technique compared to the aspiration technique without ultrasound guidance. TSA with ultrasound resulted in pregnancy in 3 out of 16 participants and TSA without ultrasound in four pregnancies with 23 participants (OR 1.10, 95% CI 0.21 to 5.74) AUTHORS' CONCLUSIONS: There is insufficient evidence to recommend any specific sperm retrieval technique for azoospermic men undergoing ICSI. In the absence of evidence to support more invasive or more technically difficult methods the reviewers recommend the least invasive and simplest technique available. Further randomised trials are warranted, preferably multi-centred trials. The classification of azoospermia as obstructive and non-obstructive appears to be relevant to a successful clinical outcome so a distinction according to the cause azoospermia is important for future clinical trials