Stable Determination of the Electromagnetic Coefficients by Boundary Measurements

The goal of this paper is to prove a stable determination of the coefficients for the time-harmonic Maxwell equations, in a Lipschitz domain, by boundary measurements

A rigorous analysis of high order electromagnetic invisibility cloaks

There is currently a great deal of interest in the invisibility cloaks recently proposed by Pendry et al. that are based in the transformation approach. They obtained their results using first order transformations. In recent papers Hendi et al. and Cai et al. considered invisibility cloaks with high order transformations. In this paper we study high order electromagnetic invisibility cloaks in transformation media obtained by high order transformations from general anisotropic media. We consider the case where there is a finite number of spherical cloaks located in different points in space. We prove that for any incident plane wave, at any frequency, the scattered wave is identically zero. We also consider the scattering of finite energy wave packets. We prove that the scattering matrix is the identity, i.e., that for any incoming wave packet the outgoing wave packet is the same as the incoming one. This proves that the invisibility cloaks can not be detected in any scattering experiment with electromagnetic waves in high order transformation media, and in particular in the first order transformation media of Pendry et al. We also prove that the high order invisibility cloaks, as well as the first order ones, cloak passive and active devices. The cloaked objects completely decouple from the exterior. Actually, the cloaking outside is independent of what is inside the cloaked objects. The electromagnetic waves inside the cloaked objects can not leave the concealed regions and viceversa, the electromagnetic waves outside the cloaked objects can not go inside the concealed regions. As we prove our results for media that are obtained by transformation from general anisotropic materials, we prove that it is possible to cloak objects inside general crystals.Comment: The final version is now published in Journal of Physics A: Mathematical and Theoretical, vol 41 (2008) 065207 (21 pp). Included in IOP-Selec

Mutations that alter the activity of the Rous sarcoma virus protease

Mutations designed by analysis of the Rous sarcoma virus (RSV) and human immunodeficiency virus (HIV)-1 protease (PR) crystal structures were introduced into 1) the substrate binding pocket, 2) the substrate enclosing 'flaps,' and 3) surface loops of RSV PR. Each mutant PR was expressed in Escherichia coli. Changes in activity were detected by following cleavage of a truncated (NC-PR) precursor polypeptide in E. coli and cleavage of synthetic peptide substrates representing RSV and HIV-1 PR cleavage sites in vitro. Mutations in the substrate binding pocket exchanged amino acid residues located close to the substrate in the HIV-1 PR for structurally equivalent residues in the RSV PR. Changing histidine 65 to glycine (H65G) gave an inactive enzyme, while a double mutant R105P, G106V, as well as the triple mutant, H65G, R105P, G106V, produced enzymes which showed significant activity toward a substrate that represented a HIV-1 cleavage site. Mutating the catalytic aspartate (D37S) or an adjacent conserved alanine to threonine (A40T), produced inactive enzymes. In contrast, the substitution A40S was active, but showed a reduced rate of catalysis. Mutations in the flaps of conserved glycines (G69L, G70L) produced inactive PRs. Two extended RSV PR surface loops were shortened to the size found in HIV-1 PR and resulted in drastically reduced activity. These results have confirmed some of the basic predictions made from structural models but have also revealed unexpected roles and interactions in the protein

Analysis of substrate interactions of the Rous sarcoma virus wild type and mutant proteases and human immunodeficiency virus-1 protease using a set of systematically altered peptide substrates

In the preceding study, mutant Rous sarcoma virus (RSV) proteases are described in which three amino acids found in the human immunodeficiency virus-1 (HIV-1) protease (PR) were substituted into structurally comparable positions (Grinde, B., Cameron, C. E., Leis, J., Weber, I., Wlodawer, A., Burstein, H., Bizub, D., and Skalka, A. M. (1992) J. Biol. Chem. 267, 9481- 9490). In this report, the activity of the wild type and these mutant PRs are compared using a set of RSV NC-PR peptide substrates with single amino acid substitutions in each of the P4 to P3' positions. With most substrates, the relative activities of the two active mutants followed that of the RSV PR. Substitutions in the P1 and P1' positions were an exception; in this case, the mutants behaved more like the HIV-1 PR. These results confirm predictions from structural analyses which indicate that residues 105 and 106 of the RSV PR are important in forming the S1 and S1' binding subsites. These results, further analyzed with the aid of computer modeling of the RSV PR with different substrates, provide an explanation for why only partial HIV-1 PR- like behavior was introduced into the above RSV PR mutants

Lack of correlation of stem cell markers in breast cancer stem cells

BACKGROUND: Various markers are used to identify the unique sub-population of breast cancer cells with stem cell properties. Whether these markers are expressed in all breast cancers, identify the same population of cells, or equate to therapeutic response is controversial. METHODS: We investigated the expression of multiple cancer stem cell markers in human breast cancer samples and cell lines in vitro and in vivo, comparing across and within samples and relating expression with growth and therapeutic response to doxorubicin, docetaxol and radiotherapy. RESULTS: CD24, CD44, ALDH and SOX2 expression, the ability to form mammospheres and side-population cells are variably present in human cancers and cell lines. Each marker identifies a unique rather than common population of cancer cells. In vivo, cells expressing these markers are not specifically localized to the presumptive stem cell niche at the tumour/stroma interface. Repeated therapy does not consistently enrich cells expressing these markers, although ER-negative cells accumulate. CONCLUSIONS: Commonly employed methods identify different cancer cell sub-populations with no consistent therapeutic implications, rather than a single population of cells. The relationships of breast cancer stem cells to clinical parameters will require identification of specific markers or panels for the individual cancer

Maternal psychological distress in primary care and association with child behavioural outcomes at age three

Observational studies indicate children whose mothers have poor mental health are at increased risk of socio-emotional behavioural difficulties, but it is unknown whether these outcomes vary by the mothers’ mental health recognition and treatment status. To examine this question, we analysed linked longitudinal primary care and research data from 1078 women enrolled in the Born in Bradford cohort. A latent class analysis of treatment status and self-reported distress broadly categorised women as (a) not having a common mental disorder (CMD) that persisted through pregnancy and the first 2 years after delivery (N = 756, 70.1 %), (b) treated for CMD (N = 67, 6.2 %), or (c) untreated (N = 255, 23.7 %). Compared to children of mothers without CMD, 3-year-old children with mothers classified as having untreated CMD had higher standardised factor scores on the Strengths and Difficulties Questionnaire (d = 0.32), as did children with mothers classified as having treated CMD (d = 0.27). Results were only slightly attenuated in adjusted analyses. Children of mothers with CMD may be at risk for socio-emotional and behavioural difficulties. The development of effective treatments for CMD needs to be balanced by greater attempts to identify and treat women. ELECTRONIC SUPPLEMENTARY MATERIAL: The online version of this article (doi:10.1007/s00787-015-0777-2) contains supplementary material, which is available to authorized users

Mutational analysis of the substrate binding pockets of the Rous sarcoma virus and human immunodeficiency virus-1 proteases

Mutations, designed by analysis of the crystal structures of Rous sarcoma virus (RSV) and human immunodeficiency virus type 1 (HIV-1) protease (PR), were introduced into the substrate binding pocket of RSV PR. The mutations substituted nonconserved residues of RSV PR, located within 10 Å of the substrate, for those in structurally equivalent positions of HIV-1 PR. Changes in the activity of purified mutants were detected in vitro by following cleavage of synthetic peptides representing wild-type and modified RSV and HIV-1 gag and pol polyprotein cleavage sites. Substituting threonine for valine 104 (V104T), S107N, I44V, Q63M or deletion of residues 61-63 produced enzymes that were 2.5-7-fold more active than the wild type RSV PR. Substituting I42D, M73V, and A100L produced enzymes with lower activity, whereas a mutant that included both M73V and A100L was as active as wild type. Several substitutions altered the specificity for substrate. These include I42D and I44V, which contribute to the S2 and S2' subsites. These proteins exhibited HIV-1 PR specificity for P2- or P2'-modified peptide substrates but unchanged specificity with P4-, P3-, P1-, P1'-, and P3'- modified substrates. Changes in specificity in the S4 subsite were detected by deletion of residues 61-63. These results confirm the hypothesis that the subsites of the substrate binding pocket of the retroviral protease are capable of acting independently in the selection of substrate amino acids