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Conformal symmetries in special and general relativity.The derivation and interpretation of conformal symmetries and asymptotic conformal symmetries in Minkowski space-time and in some space-times of general relativity.
The central objective of this work is to present an analysis of the
asymptotic conformal Killing vectors in asymptotically-flat space-times
of general relativity. This problem has been examined by two different
methods; in Chapter 5 the asymptotic expansion technique originated by
Newman and Unti [31] leads to a solution for asymptotically-flat spacetimes
which admit an asymptotically shear-free congruence of null
geodesics, and in Chapter 6 the conformal rescaling technique of Penrose
[54] is used both to support the findings of the previous chapter and to
set out a procedure for solution in the general case. It is pointed out
that Penrose's conformal technique is preferable to the use of asymptotic
expansion methods, since it can be established in a rigorous manner
without leading to the possible convergence difficulties associated with
asymptotic expansions.
Since the asymptotic conformal symmetry groups of asymptotically flat
space-times Are generalisations of the conformal group of Minkowski
space-time we devote Chapters 3 and 4 to a study of the flat space case so
that the results of later chapters may receive an interpretation in terms
of familiar concepts. These chapters fulfil a second, equally important,
role in establishing local isomorphisms between the Minkowski-space
conformal group, 90(2,4) and SU(2,2). The SO(2,4) representation has been
used by Kastrup [61] to give a physical interpretation using space-time
gauge transformations. This appears as part of the survey of
interpretative work in Chapter 7. The SU(2,2) representation of the
conformal group has assumed a theoretical prominence in recent years.
through the work of Penrose [9-11] on twistors. In Chapter 4 we establish
contact with twistor ideas by showing that points in Minkowski space-time
correspond to certain complex skew-symmetric rank two tensors on the
SU(2,2) carrier space. These objects are, in Penrose's terminology [91,
simple skew-symmetric twistors of valence
[J.
A particularly interesting aspect of conformal objects in space-time is
explored in Chapter 8, where we extend the work of Geroch [16] on multipole
moments of the Laplace equation in 3-space to the consideration. of
Q tý =0 in Minkowski space-time. This development hinges upon the fact
that multipole moment fields are also conformal Killing tensors.
In the final chapter some elementary applications of the results of
Chapters 3 and 5 are made to cosmological models which have conformal
flatness or asymptotic conformal flatness. In the first class here we
have 'models of the Robertson-Walker type and in the second class we have
the asymptotically-Friedmann universes considered by Hawking [73].University of Bradford Research Studenshi
Premature Menopause, Clonal Hematopoiesis, and Coronary Artery Disease in Postmenopausal Women
Background: Premature menopause is an independent risk factor for cardiovascular disease in women, but mechanisms underlying this association remain unclear. Clonal hematopoiesis of indeterminate potential (CHIP), the age-related expansion of hematopoietic cells with leukemogenic mutations without detectable malignancy, is associated with accelerated atherosclerosis. Whether premature menopause is associated with CHIP is unknown. Methods: We included postmenopausal women from the UK Biobank (n=11 495) aged 40 to 70 years with whole exome sequences and from the Women's Health Initiative (n=8111) aged 50 to 79 years with whole genome sequences. Premature menopause was defined as natural or surgical menopause occurring before age 40 years. Co-primary outcomes were the presence of any CHIP and CHIP with variant allele frequency >0.1. Logistic regression tested the association of premature menopause with CHIP, adjusted for age, race, the first 10 principal components of ancestry, smoking, diabetes, and hormone therapy use. Secondary analyses considered natural versus surgical premature menopause and gene-specific CHIP subtypes. Multivariable-adjusted Cox models tested the association between CHIP and incident coronary artery disease. Results: The sample included 19 606 women, including 418 (2.1%) with natural premature menopause and 887 (4.5%) with surgical premature menopause. Across cohorts, CHIP prevalence in postmenopausal women with versus without a history of premature menopause was 8.8% versus 5.5% (P0.1: odds ratio, 1.40 [95% CI, 1.10-1.79]; P=0.007). Associations were larger for natural premature menopause (all CHIP: odds ratio, 1.73 [95% CI, 1.23-2.44]; P=0.001; CHIP with variant allele frequency >0.1: odds ratio, 1.91 [95% CI, 1.30-2.80]; P0.1: 1.48 [95% CI, 1.13-1.94]; P=0.005). Conclusions: Premature menopause, especially natural premature menopause, is independently associated with CHIP among postmenopausal women. Natural premature menopause may serve as a risk signal for predilection to develop CHIP and CHIP-associated cardiovascular disease
Clonal hematopoiesis of indeterminate potential, DNA methylation, and risk for coronary artery disease
Age-related changes to the genome-wide DNA methylation (DNAm) pattern observed in blood are well-documented. Clonal hematopoiesis of indeterminate potential (CHIP), characterized by the age-related acquisition and expansion of leukemogenic mutations in hematopoietic stem cells (HSCs), is associated with blood cancer and coronary artery disease (CAD). Epigenetic regulators DNMT3A and TET2 are the two most frequently mutated CHIP genes. Here, we present results from an epigenome-wide association study for CHIP in 582 Cardiovascular Health Study (CHS) participants, with replication in 2655 Atherosclerosis Risk in Communities (ARIC) Study participants. We show that DNMT3A and TET2 CHIP have distinct and directionally opposing genome-wide DNAm association patterns consistent with their regulatory roles, albeit both promoting self-renewal of HSCs. Mendelian randomization analyses indicate that a subset of DNAm alterations associated with these two leading CHIP genes may promote the risk for CAD
Size Doesn't Matter: Towards a More Inclusive Philosophy of Biology
notes: As the primary author, O’Malley drafted the paper, and gathered and analysed data (scientific papers and talks). Conceptual analysis was conducted by both authors.publication-status: Publishedtypes: ArticlePhilosophers of biology, along with everyone else, generally perceive life to fall into two broad categories, the microbes and macrobes, and then pay most of their attention to the latter. ‘Macrobe’ is the word we propose for larger life forms, and we use it as part of an argument for microbial equality. We suggest that taking more notice of microbes – the dominant life form on the planet, both now and throughout evolutionary history – will transform some of the philosophy of biology’s standard ideas on ontology, evolution, taxonomy and biodiversity. We set out a number of recent developments in microbiology – including biofilm formation, chemotaxis, quorum sensing and gene transfer – that highlight microbial capacities for cooperation and communication and break down conventional thinking that microbes are solely or primarily single-celled organisms. These insights also bring new perspectives to the levels of selection debate, as well as to discussions of the evolution and nature of multicellularity, and to neo-Darwinian understandings of evolutionary mechanisms. We show how these revisions lead to further complications for microbial classification and the philosophies of systematics and biodiversity. Incorporating microbial insights into the philosophy of biology will challenge many of its assumptions, but also give greater scope and depth to its investigations
Mendelian randomization supports bidirectional causality between telomere length and clonal hematopoiesis of indeterminate potential
Human genetic studies support an inverse causal relationship between leukocyte telomere length (LTL) and coronary artery disease (CAD), but directionally mixed effects for LTL and diverse malignancies. Clonal hematopoiesis of indeterminate potential (CHIP), characterized by expansion of hematopoietic cells bearing leukemogenic mutations, predisposes both hematologic malignancy and CAD. TERT (which encodes telomerase reverse transcriptase) is the most significantly associated germline locus for CHIP in genome-wide association studies. Here, we investigated the relationship between CHIP, LTL, and CAD in the Trans-Omics for Precision Medicine (TOPMed) program (n = 63,302) and UK Biobank (n = 47,080). Bidirectional Mendelian randomization studies were consistent with longer genetically imputed LTL increasing propensity to develop CHIP, but CHIP then, in turn, hastens to shorten measured LTL (mLTL). We also demonstrated evidence of modest mediation between CHIP and CAD by mLTL. Our data promote an understanding of potential causal relationships across CHIP and LTL toward prevention of CAD
Para-infectious brain injury in COVID-19 persists at follow-up despite attenuated cytokine and autoantibody responses
To understand neurological complications of COVID-19 better both acutely and for recovery, we measured markers of brain injury, inflammatory mediators, and autoantibodies in 203 hospitalised participants; 111 with acute sera (1–11 days post-admission) and 92 convalescent sera (56 with COVID-19-associated neurological diagnoses). Here we show that compared to 60 uninfected controls, tTau, GFAP, NfL, and UCH-L1 are increased with COVID-19 infection at acute timepoints and NfL and GFAP are significantly higher in participants with neurological complications. Inflammatory mediators (IL-6, IL-12p40, HGF, M-CSF, CCL2, and IL-1RA) are associated with both altered consciousness and markers of brain injury. Autoantibodies are more common in COVID-19 than controls and some (including against MYL7, UCH-L1, and GRIN3B) are more frequent with altered consciousness. Additionally, convalescent participants with neurological complications show elevated GFAP and NfL, unrelated to attenuated systemic inflammatory mediators and to autoantibody responses. Overall, neurological complications of COVID-19 are associated with evidence of neuroglial injury in both acute and late disease and these correlate with dysregulated innate and adaptive immune responses acutely
Effects of flaxseed oil supplementation on plasma adiponectin levels in dyslipidemic men
Background: Dietary alpha-linolenic acid (ALA) has been associated with reduced risk of development of atherosclerosis. Adiponectin is a hormone specifically secreted by adipocytes and considered to have anti-atherogenic properties. Aim of the study: We examined the effect of increased dietary intake of ALA on plasma concentration of adiponectin. Methods: Thirty-five non-diabetic, dyslipidemic men, 38-71 years old, were randomly allocated to take either 15 ml of flaxseed oil rich in ALA (8.1 g/day; n = 18), or 15 ml of safflower oil per day, containing the equivalent n-6 fatty acid (11.2 g/day linoleic acid, LA; n = 17) (control group). The intervention period lasted for 12 weeks. Results: Plasma levels of adiponectin did not change after the increase in dietary intake of ALA in the flaxseed oil supplementation group, compared to the control group. No changes in body mass index, serum lipid concentrations, LDL density, or plasma TNF-α were found in the flaxseed oil versus the control group. Conclusions: Dietary ALA has no effect on plasma adiponectin concentration in dyslipidemic men. © 2007 Spinger
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