On recent developments in the theory of abstract differential equations with fractional derivatives

This note is motivated from some recent papers treating the problem of the existence of a solution for abstract differential equations with fractional derivatives. We show that the existence results in [Agarwal et al. (2009) [1], Belmekki and Benchohra (2010) [2], Darwish et al. (2009) [3], Hu et al. (2009) [4], Mophou and N`Guerekata (2009) [6,7], Mophou (2010) [8,9], Muslim (2009) [10], Pandey et al. (2009) [11], Rashid and El-Qaderi (2009) [12] and Tai and Wang (2009) [13]] are incorrect since the considered variation of constant formulas is not appropriate. In this note, we also consider a different approach to treat a general class of abstract fractional differential equations. (C) 2010 Elsevier Ltd. All rights reserved.

Could the Leukocyte X Chromosome Inactivation Pattern Be Extrapolated to Hair Bulbs?

Background: The androgen receptor gene is located on the X chromosome with a polymorphic tract of CAG repeats that is inversely correlated to the receptor`s transactivation activity. A short CAG tract is associated with hyperandrogenic disorders. In women, one of the X chromosomes is inactivated and the X chromosome inactivation (XCI) pattern varies among tissues. Previous studies of hyperandrogenic disorders only evaluated XCI in leukocytes. Objective: To evaluate whether the XCI pattern in leukocytes could be extrapolated to those in hair bulbs. Material: A total of 58 healthy women were used for this study. DNA was extracted from leukocytes (n = 58 women) and pubic (n = 53 women) and scalp hair (n = 21 women). Methods: Hpa II digested and undigested DNA samples underwent fluorescence PCR GeneScan (R) analysis. Results: A significant and positive correlation of XCI was found between leukocytes and hair bulbs. However, individual comparisons showed that 13 and 19% of the women presented a different leukocyte XCI pattern in pubic hair and similar in leukocytes and hair bulbs of normal women indicating that leukocyte DNA is useful for XCI analysis. However, the XCI pattern could vary among tissues from the same subject, indicating that care should be taken when extrapolating individual leukocyte XCI patterns to other tissue. Copyright (C) 2010 S. Karger AG, Basel

Clinical changes of cervical dystonia pattern in long-term botulinum toxin treated patients

Cervical dystonia (CD) is a complex disorder but the response to long-term botulinum toxin (BTX) therapy is satisfactory in most cases. Bad results are attributed by some authors to changes in muscle activation. Our purpose is to verify if the change in head deviation affects negatively the response to BTX therapy it) a long-term follow-up, and if there are any differences in clinical parameters of these patients in comparison to those with stable pattern. From a total of 88 patients evaluated at the Movement Disorders Clinics of Hospital das Clinicas - University of Sao Paulo School of Medicine between January 1993 and December 2005, 67 were included. In 24 (35.8%) change in pattern of CID was observed, in a medium follow-up period of 80 months. The time between onset of dystonia and the diagnosis of pattern change was 9.7 years. Comparing with patients with no changes in CD pattern, there were no significant statistical differences. Improvement of symptoms around 60% was reported in both groups. In conclusion, the change in head deviation observed in CD was not responsible for bad response to therapy with BTX and there were no significant differences between both groups. (C) 2009 Elsevier Ltd. All rights reserved.

Is facial pattern a predisposing factor for otitis media with effusion in children?

Abnormalities in craniofacial morphology are associated with Eustachian tube dysfunction and otitis media with effusion (OME). Aim: to evaluate the relationship between facial pattern and craniofacial growth direction, and OME in children with enlarged tonsils and adenoids (ETA). Methods: Clinical prospective survey in 79 children (41 male and 38 female), ranging from 4 to 10 years of age, with tonsil and adenoid enlargement (Brodsky`s grades III and IV). Forty children presented with OME (study group) and 39 did not (control group). Cephalometric analysis was used to determine the facial pattern. Results: There was no correlation observed between facial pattern and OME (c 2 = 0.25 p = 0.88). Facial Axis was larger in the OME group (F(1.75) = 3.68 p = 0.05) and the Lower Anterior Facial height was smaller (F(1. 75) = 3.99 p = 0.05) in children with otitis media with effusion. Conclusions: There was no correlation between OME and facial pattern in children with ETA although a more horizontal facial growth direction, and a smaller lower anterior facial height was observed consistently among subjects in this group. This suggests that abnormal positioning of the eustachian tube influences the development of OME in children with ETA.

Spatial distribution of pink wax scale, Ceroplastes rubens Maskell (Hemiptera: Coccidae), on umbrella trees in south-eastern Queensland: The pattern of outbreaks

The spatial pattern of outbreaks of pink wax scale, Ceroplastes rubens Maskell, within and among umbrella trees, Schefflera actinophylla (Endl.), in southeastern Queensland was investigated. Pink wax scale was common on S. actinophylla, with approximately 84% of trees positive for scale and 14% of bees recording outbreak densities exceeding 0.4 adults per leaflet. Highly aggregated distributions of C. rubens occur within and among umbrella trees. Clumped distributions within trees appear to result from variable birth and death rates and limited movement of first instar crawlers. The patchy distribution of pink wax scale among trees is probably a consequence of variation in dispersal success of scale, host and environmental suitability for establishment and rates of biological control. Pink wax scale was more prevalent on trees in roadside positions and in exposed situations, indicating that such trees are more suitable and/or susceptible to scale colonisation.

Mathematical constraints on a theory of human memory - Response

Colonius suggests that, in using standard set theory as the language in which to express our computational-level theory of human memory, we would need to violate the axiom of foundation in order to express meaningful memory bindings in which a context is identical to an item in the list. We circumvent Colonius's objection by allowing that a list item may serve as a label for a context without being identical to that context. This debate serves to highlight the value of specifying memory operations in set theoretic notation, as it would have been difficult if not impossible to formulate such an objection at the algorithmic level.

Hyrax appliance opening and pattern of skeletal maxillary expansion after surgically assisted rapid palatal expansion: a computed tomography evaluation

Objective. The objective of this study was to evaluate, using computed tomography, correlations between Hyrax appliance opening and post-SARPE skeletal changes. Study design. Fifteen patients underwent SARPE according to a specific protocol and were followed. Linear and angular measurements of the anterior, intermediate, and posterior portions of the maxilla were evaluated. The correlation between maxillary expansion and appliance opening was investigated. Results. Significant overall expansion was observed. In the anterior and intermediate portions of the maxilla, the increase in maxillary width was greater than that observed in the posterior portion. The degree of appliance opening was significantly greater than that of the skeletal expansion. Also, no linear correlation between appliance opening and regional maxillary expansion was established. Conclusion. The transverse expansion of the maxilla was less than uniform. The lack of linear correlation between appliance opening and skeletal expansion is attributable to multiple factors, including those related to the device, the surgical technique, and the craniofacial deformity itself. (Oral Surg Oral Med Oral Pathol Oral Radiol Endod 2008; 106: 812-819)

Odorant-induced currents in intact patches from rat olfactory receptor neurons: Theory and experiment

Odorant-induced currents in mammalian olfactory receptor neurons have proved difficult to obtain reliably using conventional whole-cell recording. By using a mathematical model of the electrical circuit of the patch and rest-of-cell, we demonstrate how cell-attached patch measurements can be used to quantitatively analyze responses to odorants or a high (100 mM) K+ solution. High K+ induced an immediate current flux from cell to pipette, which was modeled as a depolarization of similar to 52 mV, close to that expected from the Nernst equation (56 mV), and no change in the patch conductance. By contrast, a cocktail of cAMP-stimulating odorants induced a current flux from pipette into cell following a significant (4-10 s) delay. This was modeled as an average patch conductance increase of 36 pS and a depolarization of 13 mV, Odorant-induced single channels had a conductance of 16 pS. In cells bathed with no Mg2+ and 0.25 mM Ca2+, odorants induced a current flow from cell to pipette, which was modeled as a patch conductance increase of similar to 115 pS and depolarization of similar to 32 mV, All these results are consistent with cAMP-gated cation channels dominating the odorant response, This approach, which provides useful estimates of odorant-induced voltage and conductance changes, is applicable to similar measurements in any small cells.

Centrilobular Fibrosis: An Underrecognized Pattern in Systemic Sclerosis

Background: The impressive association of lung involvement and gastroesophageal reflux in scleroderma raises the possibility of a cause-effect relationship. Objectives: To determine clinical, radiological and histopathological features of systemic sclerosis (SSc) patients according the presence or absence of centrilobular fibrosis (CLF). Methods: Twenty-eight SSc patients with lung involvement were submitted to open lung biopsy and the specimens classified for the presence of CLF (bronchocentric distribution of the lesions and intraluminal matter according to the classification of idiopathic interstitial pneumonia). HRCT, pulmonary function tests and esophageal analysis were also performed. Subsequently, cyclophosphamide was introduced for the nonspecific interstitial pneumonia subgroup and antireflux treatment was intensified for isolated CLF patients. Results: Isolated CLF was found in 21% of the biopsies and also found associated to nonspecific interstitial pneumonia in 84% of these patients. The other 3 cases had usual interstitial pneumonia, pulmonary hypertension and respiratory bronchiolitis-associated interstitial lung disease. The histopathological analysis revealed that all 6 patients with isolated CLF had the bronchocentric distribution and intraluminal basophilic content, with foreign bodies detected in one third of them. The central distribution of lung involvement on HRCT was found in 67% of these patients with a consistent patchy distribution (100%). Ground glass (67%) and consolidation (33%) were the predominant patterns found. The constant clinical finding in all isolated CLF cases was dyspnea, esophageal abnormalities and a moderate lung impairment (FVC: 63.83 +/- 16.31%; DLCO: 61.66 +/- 18.84%). Lung function parameters in isolated CLF patients remained stable after 1 year of exclusively intensive antireflux treatment (FVC, p = 0.23; DLCO, p = 0.59). Conclusions: The novel description of CLF pattern in SSc lung disease with peculiar histological, tomographic and clinical features will certainly contribute to a more appropriate therapeutic approach. Copyright (C) 2008 S. Karger AG, Basel

A mathematical model for Escherichia coli debris size reduction during high pressure homogenisation based on grinding theory

Experimental data for E. coli debris size reduction during high-pressure homogenisation at 55 MPa are presented. A mathematical model based on grinding theory is developed to describe the data. The model is based on first-order breakage and compensation conditions. It does not require any assumption of a specified distribution for debris size and can be used given information on the initial size distribution of whole cells and the disruption efficiency during homogenisation. The number of homogeniser passes is incorporated into the model and used to describe the size reduction of non-induced stationary and induced E. coil cells during homogenisation. Regressing the results to the model equations gave an excellent fit to experimental data ( > 98.7% of variance explained for both fermentations), confirming the model's potential for predicting size reduction during high-pressure homogenisation. This study provides a means to optimise both homogenisation and disc-stack centrifugation conditions for recombinant product recovery. (C) 1997 Elsevier Science Ltd.

Erythema elevatum diutinum presenting with a giant annular pattern

A 45-year-old woman presented with a 3-year history of cutaneous lesions. Clinical examination revealed red-yellow to brownish infiltrated papules coalescing into annular-shaped plaques of several sizes with a hyperpigmented center affecting the abdomen and lower limbs, as well as multiple firm nodules on the right palm, elbows, and knees (Fig. 1a-c). The patient also reported sporadic arthralgia and low fever. She had been treated for leprosy for 2 years with multidrug therapy (clofazimine, dapsone, and rifampicin), with complete remission of the lesions during treatment, but recurrence after discontinuation. Histologic examination of a biopsy specimen taken from the cutaneous lesions showed an interstitial inflammatory infiltrate with the presence of many neutrophils and occasional foamy histiocytes (Fig. 2a). A pattern of perivascular eosinophilic fibrosis was observed in a biopsy specimen from a nodule (Fig. 2b). Special stains for acid-fast bacilli and fungi were negative. Laboratory findings included elevated immunoglobulin A (IgA) serum levels (1016 mg/dL; normal range, 69-382 mg/dL), elevated beta-globulin, and strong tuberculin reactivity. Normal or negative tests included direct immunofluorescence, serum immunofixation, anti-streptolysin O, and chest radiography. Autoimmune disorders and inflammatory intestinal diseases were excluded. The patient was treated with dapsone, 100 mg/day, with great improvement of the clinical picture. Hyperpigmented residual macules and some fibrotic nodules remained after 3 months.