Operational matrices based on the shifted fifth-kind Chebyshev polynomials for solving nonlinear variable order integro-differential equations

In this research, we study a general class of variable order integro-differential equations (VO-IDEs). We propose a numerical scheme based on the shifted fifth-kind Chebyshev polynomials (SFKCPs). First, in this scheme, we expand the unknown function and its derivatives in terms of the SFKCPs. To carry out the proposed scheme, we calculate the operational matrices depending on the SFKCPs to find an approximate solution of the original problem. These matrices, together with the collocation points, are used to transform the original problem to form a system of linear or nonlinear algebraic equations. We discuss the convergence of the method and then give an estimation of the error. We end by solving numerical tests, which show the high accuracy of our results.

Integrative quantitative-phase and airy light-sheet imaging

Light-sheet microscopy enables considerable speed and phototoxicity gains, while quantitative-phase imaging confers label-free recognition of cells and organelles, and quantifies their number-density that, thermodynamically, is more representative of metabolism than size. Here, we report the fusion of these two imaging modalities onto a standard inverted microscope that retains compatibility with microfluidics and open-source software for image acquisition and processing. An accelerating Airy-beam light-sheet critically enabled imaging areas that were greater by more than one order of magnitude than a Gaussian beam illumination and matched exactly those of quantitative-phase imaging. Using this integrative imaging system, we performed a demonstrative multivariate investigation of live-cells in microfluidics that unmasked that cellular noise can affect the compartmental localization of metabolic reactions. We detail the design, assembly, and performance of the integrative imaging system, and discuss potential applications in biotechnology and evolutionary biology.

Juxtaposition of Mesenchymal Stem Cells with Endothelial Progenitor Cells Promoted Angiogenic Potential Inside Alginate-Gelatin Microspheres

Purpose: Here, we investigated the angiogenic potential of endothelial progenitor cells juxtaposed with mesenchymal stem cells (MSCs) inside alginate-gelatin microspheres with stromal derived factor-1α (SDF-1 α) for 7 days.

Methods: Six encapsulated groups were allocated including endothelial progenitor cells (EPCs), EPCs/SDF-1α, MSCs, MSCs/SDF-1α, EPCs+MSCs and EPCs+MSCs/SDF-1α. Cells were encapsulated with a mixture of 1% alginate and 2% gelatin hydrogel. Cell survival was examined by MTT assay. Endothelial differentiation was determined by flow cytometry and ELISA. Tubulogenesis assay and Ac-Dil-LDL uptake were used to detect functional activity. Cell migration was analyzed by Transwell insert and gelatin zymography analyses. By using real-time polymerase chain reaction (PCR), we measured the transcription of Akt and PK1.

Results: We found an increase in cell viability in MSCs/SDF-1α microspheres compared to EPCs group (P <0.05). EPC/MSCs co-culture contributed to the increase of CD133+ cells while we found high CD31 levels in MSCs group (P <0.05). Juxtaposition of EPC with MSCs increased tubulogenesis compared to SDF-1a-free condition (P <0.001). SDF-1α had the potential to increase in AC-LDL uptake in MSCs and EPCs/MSCs groups. Cells migration and MMP-9 activities increased after treatment with SDF-1α. SDF-1α upregulated PK1 and Akt in encapsulated cells, especially in a co-culture system.

Conclusion: Alginate-gelatin microspheres could alter the angiogenic potential of progenitor cells in the presence of SDF-1α

Comparison of metformin and N-acetyl cysteine, as an adjuvant to clomiphene citrate, in clomiphene-resistant women with polycystic ovary syndrome

OBJECTIVE

To evaluate the effects of short- and long-term treatment with metformin and NAC, in an adjuvant to clomiphene citrate (CC), on the improvement of hormonal profile (SHBG, total testosterone, FBS, and fasting insulin) and fertility status in CC-resistant women with PCOS.

MATERIALS AND METHODS

One hundred and eight CC-resistant PCOS patients participated in the study and received either metformin (1500mg/day) or NAC (1800mg/day) with 100mg/day of CC for 8 and 12 weeks. Mean BMI, hirsutism score, LH/FSH ratio, endometrial thickness, mature follicle number, and serum concentrations of LH, FSH, E2, fasting insulin, total testosterone and FBS were evaluated before and after short- and long-term treatment. Furthermore, ovulation and pregnancy rates in the first and second cycles were also determined in treated patients.

RESULTS

There was no significant difference in all variables before and 8 weeks after treatment with metformin and NAC. The BMI- and insulin-lowering effects of metformin were significantly higher than NAC after long-term treatment. However, the reducing-effect of NAC on hirsutism score and FBS levels was significantly more than metformin after 12 weeks. Treatment with metformin and NAC significantly increased ovulation and pregnancy rates in CC-resistant PCOS patients. In the first and second cycles, ovulation and pregnancy rates in patients treated with NAC were slightly higher than those received metformin.

CONCLUSIONS

Compared with metformin, administration of NAC in an adjuvant to CC is recommended for improving of hormonal profile and treatment of anovulatory infertility in hyperinsulinemic patients especially women with PCOS who are CC-resistant.

Accumulated deep sleep is a powerful predictor of LH pulse onset in pubertal children

CONTEXT

During puberty, reactivation of the reproductive axis occurs during sleep, with LH pulses specifically tied to deep sleep. This association suggests that deep sleep may stimulate LH secretion, but there have been no interventional studies to determine the characteristics of deep sleep required for LH pulse initiation.

OBJECTIVE

The objective of this study was to determine the effect of deep sleep fragmentation on LH secretion in pubertal children.

DESIGN AND SETTING

Studies were performed in a clinical research center.

SUBJECTS

Fourteen healthy pubertal children (11.3-14.1 y) participated in the study.

INTERVENTIONS

Subjects were randomized to two overnight studies with polysomnography and frequent blood sampling, with or without deep sleep disruption via auditory stimuli.

RESULTS

An average of 68.1 ±10.7 (± SE) auditory stimuli were delivered to interrupt deep sleep during the disruption night, limiting deep sleep to only brief episodes (average length disrupted 1.3 ± 0.2 min vs normal 7.1 ± 0.8 min, P < .001), and increasing the number of transitions between non-rapid eye movement (NREM), REM, and wake (disrupted 274.5 ± 33.4 vs normal 131.2 ± 8.1, P = .001). There were no differences in mean LH (normal: 3.2 ± 0.4 vs disrupted: 3.2 ± 0.5 IU/L), LH pulse frequency (0.6 ± 0.06 vs 0.6 ± 0.07 pulses/h), or LH pulse amplitude (2.8 ± 0.4 vs 2.8 ± 0.4 IU/L) between the two nights. Poisson process modeling demonstrated that the accumulation of deep sleep in the 20 minutes before an LH pulse, whether consolidated or fragmented, was a significant predictor of LH pulse onset (P < .001).

CONCLUSION

In pubertal children, nocturnal LH augmentation and pulse patterning are resistant to deep sleep fragmentation. These data suggest that, even when fragmented, deep sleep is strongly related to activation of the GnRH pulse generator.

AICDA single nucleotide polymorphism in common variable immunodeficiency and selective IgA deficiency

BACKGROUND

Primary antibody deficiencies (PADs) are a heterogeneous group of disorders, characterised by increased susceptibility to recurrent bacterial infections. Common variable immunodeficiency (CVID) is the most important PAD from the clinical point of view and selective IgA deficiency (IgAD) is the most common PAD. However, the underlying gene defect in both is still unknown. As a recent study in Europe showed an association between a single nucleotide polymorphism (SNP) of AICDA gene with PADs, this study was performed to evaluate such an association in Iranian patients.

METHODS

Fifty-eight patients with PAD, including 39 CVID and 19 IgAD, as well as 34 healthy volunteers, were enrolled in this study. Genotyping was done in all groups for an intronic SNP in AICDA (rs2580874), using real-time PCR genotyping assay.

RESULTS

The less frequent genotype of AICDA in IgAD patients was AA, seen in 10.5% of the patients, which was much lower than the 30.8% in CVID patients and 38.2% in the controls. However, these differences were not significant. Indeed the GG genotype in the patients with PADs was seen in 20.7%, compared to 8.8% in the controls without any significant difference.

CONCLUSIONS

There was no significant association between the previously reported genetic variant of AICDA gene and the development of CVID or IgAD, but further multi-center studies are also needed.

An Open-Source Standard T-Wave Alternans Detector for Benchmarking

We describe an open source algorithm suite for T-Wave Alternans (TWA) detection and quantification. The software consists of Matlab implementations of the widely used Spectral Method and Modified Moving Average with libraries to read both WFDB and ASCII data under windows and Linux. The software suite can run in both batch mode and with a provided graphical user interface to aid waveform exploration. Our software suite was calibrated using an open source TWA model, described in a partner paper [1] by Clifford and Sameni. For the PhysioNet/CinC Challenge 2008 we obtained a score of 0.881 for the Spectral Method and 0.400 for the MMA method. However, our objective was not to provide the best TWA detector, but rather a basis for detailed discussion of algorithms.

An Artificial Multi-Channel Model for Generating Abnormal Electrocardiographic Rhythms

We present generalizations of our previously published artificial models for generating multi-channel ECG so that the simulation of abnormal rhythms is possible. Using a three-dimensional vectorcardiogram (VCG) formulation, we generate the normal cardiac dipole for a patient using a sum of Gaussian kernels, fitted to real VCG recordings. Abnormal beats are then specified either as new dipoles, or as perturbations of the existing dipole. Switching between normal and abnormal beat types is achieved using a hidden Markov model (HMM). Probability transitions can be learned from real data or modeled by coupling to heart rate and sympathovagal balance. Natural morphology changes form beat-to-beat are incorporated as before from varying the angular frequency of the dipole as a function of the inter-beat (RR) interval. The RR interval time series is generated using our previously described model whereby time-and frequency-domain heart rate (HR) and heart rate variability (HRV) characteristics can be specified. QT-HR hysteresis is simulated by coupling the Gaussian kernels associated with the T-wave in the model with a nonlinear factor related to the local HR (determined from the last n RR intervals). Morphology changes due to respiration are simulated by coupling the RR interval to the angular frequency of the dipole. We demonstrate an example of the use of this model by simulating T-Wave Alternans (TWA). The magnitude of the TWA effect is modeled as a disturbance on the T-loop of the dipole with a magnitude that differs in each of the three VCG planes. The effect is then turned on or off using a HMM. The values of the transition matrix are determined by the local heart rate, such that when the HR ramps up towards 100 BPM, the probability of observing a TWA effect rapidly but smoothly increases. In this way, no 'sudden' switching from non-TWA to TWA is observed, and the natural tendency for TWA to be associated with a critical HR-related activation level is simulated. Finally, to generate multi-lead signals, the VCG is mapped to any set of clinical leads using a Dower-like transform derived from a least-squares optimization between known VCGs and known lead morphologies. ECGs with calibrated amounts of TWA were generated by this model and included in the PhysioNet/CinC Challenge 2008 data set.