We provide sharp two-sided estimates of the Fourier-Bessel heat kernel and we give sharp two-sided estimates of the transition probability density for the Bessel process in (0,1) killed at 1 and ...killed or reflected at 0.
The main objective of the work is to provide sharp two-sided estimates of \(\lambda\)-Green function of hyperbolic Brownian motion of a half-space. We strongly rely on recent results obtained by K. ...Bogus and J. Malecki 3, regarding precise estimates of the Bessel heat kernel of half-lines.
EMeH: Extensible mobile platform for healthcare Bialy, T.; Kobusinski, J.; Malecki, M. ...
2011 Federated Conference on Computer Science and Information Systems (FedCSIS),
2011-Sept.
Conference Proceeding
Rapid development of mobile technology and growing number of users open new possibilities in the context of using mobile devices in the healthcare. Despite that, the resources and computing power of ...these devices are still far less than desktop computers. Thus, one can take into account these limitations when designing applications for such devices. On the other hand, the increasing functionality of mobile devices makes them a real alternative for a traditional PC in certain areas. Nowadays, the mobility becomes one of the most required feature for the information system users. They require to be connected and have access to data all the time at any location. This is also true in the context of hospital environment where the medical staff must collect, update and retrieve various type of data. EMeH Platform is a solution that provides the possibility to create efficient distributed applications based on the SOA paradigm. It offers universal environment that allows to integrate PDAs, smartphones, tablets as well as specialized barcode scanners and RFID readers with the existing hospital information system. Layered and flexible design that reflect real usage scenarios, efficient and economic resource usage and consistent dynamically generated user interface makes EMeH Platform interesting extension to the traditional hospital information systems.
Type 2 diabetes (T2DM) is a multifactorial disease related to both environmental and genetic factors. While environmental factors leading to the development for T2DM are well established, the ...majority of factors responsible for the genetic background of the disease remain unknown. The aim of this study was to test whether a rare variant within the HNF4A gene, Thr130Ile (rs1800961), may influence the development of clinical course of T1DM or T2DM subjects. The analysis included 574 patients with T2DM, 207 T1DM individuals and 284 healthy controls. All subjects were genotyped for the Thr130Ile polymorphism in HNF4A. For T2DM, no differences were found in allele frequencies between cases and controls. The percentage of CT genotype in these groups were 5.7% (33 patients) and 5.6% (16 healthy controls), respectively (p=0.89). For T1DM, the allele frequency was not statistically different from T2DM or control subjects. In conclusion, no association was found between rare variant Thr130Ile of the HNF4A gene and the development of either T2DM nor T1DM in the Polish population.
1,5-anhydroglucitol (1,5-AG) is a short-term marker of metabolic control in diabetes. Its renal loss is stimulated in hyperglycemic conditions by glycosuria, which results in a lowered plasma ...concentration. As a low renal threshold for glucose has been described in hepatocyte nuclear factor-1alpha (HNF-1alpha) maturity-onset diabetes of the young (MODY), the 1,5-AG level may be altered in these patients. The purpose of this study was to assess the 1,5-AG levels in patients with HNF-1alpha MODY and in type 2 diabetic subjects with a similar degree of metabolic control. In addition, we aimed to evaluate this particle as a biomarker for HNF-1alpha MODY.
We included 33 diabetic patients from the Polish Nationwide Registry of MODY. In addition, we examined 43 type 2 diabetic patients and 47 nondiabetic control subjects. The 1,5-AG concentration was measured with an enzymatic assay (GlycoMark). Receiver operating characteristic (ROC) curve analysis was used to evaluate 1,5-AG as a screening marker for HNF-1alpha MODY.
The mean 1,5-AG plasma concentration in diabetic HNF-1alpha mutation carriers was 5.9 microg/ml, and it was lower than that in type 2 diabetic patients (11.0 microg/ml, P = 0.003) and in nondiabetic control subjects (23.9 microg/ml, P < 0.00005). The ROC curve analysis revealed 85.7% sensitivity and 80.0% specificity of 1,5-AG in screening for HNF-1alpha MODY at the criterion of <6.5 microg/ml in patients with an A1C level between 6.5 and 9.0%.
1,5-AG may be a useful biomarker for differential diagnosis of patients with HNF-1alpha MODY with a specific range of A1C, although this requires further investigation. However, the clinical use of this particle in diabetic HNF-1alpha mutation carriers for metabolic control has substantial limitations.
Mutations in the ABCC8 gene encoding the SUR1 subunits of the beta-cell K-ATP channel cause neonatal diabetes (ND) mellitus. We aimed to determine the contribution of ABCC8 gene to ND in Poland, to ...describe the clinical phenotype associated with its mutations and to examine potential modifying factors.
The Nationwide Registry of ND in Poland includes patients diagnosed before 6 months of age. In total 16 Kir6.2 negative patients with ND, 14 permanent and 2 relapsed transient, were examined.
ABCC8 gene mutations were detected by direct sequencing. Mutation carriers' characteristics included clinical data and biochemical parameters. In addition, we performed the hyperinsulinaemic euglycaemic clamp and tested for islet-specific antibodies in diabetic subjects.
We identified two probands with permanent ND (one heterozygous F132V mutation carrier and one compound heterozygote with N23H and R826W mutations) and two others with relapsed transient ND (heterozygotes for R826W and V86A substitutions, respectively). One subject, a heterozygous relative with the R826W mutation, had adult onset diabetes. There were striking differences in the clinical picture of the mutation carriers as the carrier of two mutations, N23H and R826W, was controlled on diet alone with HbA(1c) of 7.3%, whereas the F132V mutation carrier was on 0.66 IU/kg/day of insulin with HbA(1c) of 11.7%. The C-peptide level varied from 0.1 ng/ml (F132V) to 0.75 ng/ml (V86A). We also observed a variable insulin resistance, from moderate (M = 5.5 and 5.6 mg/kg/min, respectively, in the two R826W mutation carriers) to severe (M = 2.6 mg/kg/min in the F132V mutation carrier). We were able to transfer two patients off insulin to sulphonylurea (SU) and to reduce insulin dose in one other patient. Interestingly, there was no response to SU in the most insulin resistant F132V mutation carrier despite high dose of glibenclamide. All examined auto-antibodies were present in one of the subjects, the V86A mutation carrier, although this did not seem to influence the clinical picture, as we were able to transfer this girl off insulin.
Mutations in SUR1 are the cause of about 15% of Kir6.2 negative permanent ND in Poland. The clinical phenotype of SUR1 diabetic mutation carriers is heterogeneous and it appears to be modified by variable sensitivity to insulin.
Hitting times of Bessel processes Byczkowski, Tomasz; Malecki, Jacek; Ryznar, Michal
arXiv (Cornell University),
06/2011
Paper, Journal Article
Odprti dostop
Let \(T_1^{(\mu)}\) be the first hitting time of the point 1 by the Bessel process with index \(\mu\in \R\) starting from \(x>1\). Using an integral formula for the density \(q_x^{(\mu)}(t)\) of ...\(T_1^{(\mu)}\), obtained in Byczkowski, Ryznar (Studia Math., 173(1):19-38, 2006), we prove sharp estimates of the density of \(T_1^{(\mu)}\) which exibit the dependence both on time and space variables. Our result provides optimal estimates for the density of the hitting time of the unit ball by the Brownian motion in \(\mathbb{R}^n\), which improve existing bounds. Another application is to provide sharp estimates for the Poisson kernel for half-spaces for hyperbolic Brownian motion in real hyperbolic spaces.
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