351 research outputs found

    Stability of stationary solutions of parabolic variational inequalities

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    Assessing disease disclosure in adults with cystic fibrosis: the Adult Data for Understanding Lifestyle and Transitions (ADULT) survey Disclosure of disease in adults with cystic fibrosis

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    <p>Abstract</p> <p>Background</p> <p>As more patients with cystic fibrosis (CF) reach adulthood and participate in age-appropriate activities (e.g. employment, dating), disclosure of medical status becomes more important. This study assessed rates of disclosure and its perceived impact on relationships using the Adult Data for Understanding Lifestyle and Transitions (ADULT) online survey.</p> <p>Methods</p> <p>Adults with CF participated in the survey via the United States national network of CF Centers. Descriptive and inferential statistics were utilized.</p> <p>Results</p> <p>Participants (n = 865) were more likely to disclose to relatives (94%) and close friends (81%) than to dating partners (73%), bosses/supervisors/teachers (51%) or co-workers (39%). Respondents generally reported a neutral/positive effect on relationships following disclosure. Negative effects of disclosure were infrequent, but more likely with dating partners or bosses/supervisors/teachers. Results also indicated that disclosure may be influenced by severity of lung disease and gender, with those having normal/mild lung disease less likely to disclose their diagnosis to both co-workers (p < 0.01) and bosses/supervisors/teachers (p < 0.01), and women being more likely to disclose to close friends (p < 0.0001) and dating partners (p < 0.05) than men.</p> <p>Conclusions</p> <p>Most adults with CF disclosed their disease to relatives and close friends. Individuals with severe CF lung disease were more likely to disclose their diagnosis to coworkers and supervisors/teachers. It may be helpful to provide support for disclosure of disease in situations such as employment and dating.</p

    Asymptotic expansions of the solutions of the Cauchy problem for nonlinear parabolic equations

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    Let uu be a solution of the Cauchy problem for the nonlinear parabolic equation tu=Δu+F(x,t,u,u)inRN×(0,),u(x,0)=φ(x)inRN, \partial_t u=\Delta u+F(x,t,u,\nabla u) \quad in \quad{\bf R}^N\times(0,\infty), \quad u(x,0)=\varphi(x)\quad in \quad{\bf R}^N, and assume that the solution uu behaves like the Gauss kernel as tt\to\infty. In this paper, under suitable assumptions of the reaction term FF and the initial function φ\varphi, we establish the method of obtaining higher order asymptotic expansions of the solution uu as tt\to\infty. This paper is a generalization of our previous paper, and our arguments are applicable to the large class of nonlinear parabolic equations

    A particle system with explosions: law of large numbers for the density of particles and the blow-up time

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    Consider a system of independent random walks in the discrete torus with creation-annihilation of particles and possible explosion of the total number of particles in finite time. Rescaling space and rates for diffusion/creation/annihilation of particles, we obtain a stong law of large numbers for the density of particles in the supremum norm. The limiting object is a classical solution to the semilinear heat equation u_t =u_{xx} + f(u). If f(u)=u^p, 1<p \le 3, we also obtain a law of large numbers for the explosion time

    Children with disorders of sex development: A qualitative study of early parental experience

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    <p>Abstract</p> <p>Background</p> <p>Clinical research on psychological aspects of disorders of sex development (DSD) has focused on psychosexual differentiation with relatively little attention directed toward parents' experiences of early clinical management and their influence on patient and family psychosocial adaptation.</p> <p>Objectives</p> <p>To characterize parental experiences in the early clinical care of children born with DSD.</p> <p>Study Design</p> <p>Content analysis of interviews with parents (n = 41) of 28 children, newborn to 6 years, with DSD.</p> <p>Results</p> <p>Four major domains emerged as salient to parents: (1) the gender assignment process, (2) decisions regarding genital surgery, (3) disclosing information about their child's DSD, and (4) interacting with healthcare providers. Findings suggested discordance between scientific and parental understandings of the determinants of "sex" and "gender." Parents' expectations regarding the benefits of genital surgery appear largely met; however, parents still had concerns about their child's future physical, social and sexual development. Two areas experienced by many parents as particularly stressful were: (1) uncertainties regarding diagnosis and optimal management, and (2) conflicts between maintaining privacy versus disclosing the condition to access social support.</p> <p>Conclusions</p> <p>Parents' experiences and gaps in understanding can be used to inform the clinical care of patients with DSD and their families. Improving communication between parents and providers (and between parents and their support providers) throughout the early clinical management process may be important in decreasing stress and improving outcomes for families of children with DSD.</p

    Asymptotic behaviour of a semilinear elliptic system with a large exponent

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    Consider the problem \begin{eqnarray*} -\Delta u &=& v^{\frac 2{N-2}},\quad v>0\quad {in}\quad \Omega, -\Delta v &=& u^{p},\:\:\:\quad u>0\quad {in}\quad \Omega, u&=&v\:\:=\:\:0 \quad {on}\quad \partial \Omega, \end{eqnarray*} where Ω\Omega is a bounded convex domain in RN,\R^N, N>2,N>2, with smooth boundary Ω.\partial \Omega. We study the asymptotic behaviour of the least energy solutions of this system as p.p\to \infty. We show that the solution remain bounded for pp large and have one or two peaks away form the boundary. When one peak occurs we characterize its location.Comment: 16 pages, submmited for publicatio

    A quality-of-life measure for adults with primary ciliary dyskinesia: QOL-PCD

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    Primary ciliary dyskinesia (PCD) is characterised by chronic suppurative lung disease, rhino-sinusitis, hearing impairment and sub-fertility. We have developed the first multidimensional measure to assess health-related quality of life (HRQoL) in adults with PCD (QOL-PCD). Following a literature review and expert panel meeting, open-ended interviews with patients investigated the impact of PCD on HRQoL in the UK and North America (n=21). Transcripts were content analysed to derive saturation matrices. Items were rated for relevance by patients (n=49). Saturation matrices, relevance scores, literature review, evaluation of existing measures, and expert opinion contributed to development of a preliminary questionnaire. The questionnaire was refined following cognitive interviews (n=18). Open-ended interviews identified a spectrum of issues unique to adults with PCD. Saturation matrices confirmed comprehensive coverage of content. QOL-PCD includes 48 items covering the following seven domains: Physical Functioning, Emotional Functioning, Treatment Burden, Respiratory and Sinus Symptoms, Ears and Hearing, Social Functioning, and Vitality and Health Perceptions. Cognitive testing confirmed that content was comprehensive and the items were well-understood by respondents. Content validity and cognitive testing supported the items and structure. QOL-PCD has been translated into other languages and is awaiting psychometric testing

    On the dynamics of a non-local parabolic equation arising from the Gierer-Meinhardt system

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    This is an author-created, un-copyedited version of an article accepted for publication in Nonlinearity. The publisher is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at http://iopscience.iop.org/article/10.1088/1361-6544/aa64b2/metaThe purpose of the current paper is to contribute to the comprehension of the dynamics of the shadow system of an activator-inhibitor system known as a Gierer-Meinhardt model. Shadow systems are intended to work as an intermediate step between single equations and reaction-diffusion systems. In the case where the inhibitor's response to the activator's growth is rather weak, then the shadow system of the Gierer-Meinhardt model is reduced to a single though non-local equation whose dynamics will be investigated. We mainly focus on the derivation of blow-up results for this non-local equation which can be seen as instability patterns of the shadow system. In particular, a {\it diffusion driven instability (DDI)}, or {\it Turing instability}, in the neighbourhood of a constant stationary solution, which it is destabilised via diffusion-driven blow-up, is obtained. The latter actually indicates the formation of some unstable patterns, whilst some stability results of global-in-time solutions towards non-constant steady states guarantee the occurrence of some stable patterns
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