An extended method of quasilinearization for nonlinear impulsive differential equations with a nonlinear three-point boundary condition

In this paper, we discuss an extended form of generalized quasilinearization technique for first order nonlinear impulsive differential equations with a nonlinear three-point boundary condition. In fact, we obtain monotone sequences of upper and lower solutions converging uniformly and quadratically to the unique solution of the problem

Nonlinear qq-fractional differential equations with nonlocal and sub-strip type boundary conditions

This paper is concerned with new boundary value problems of nonlinear $q$-fractional differential equations with nonlocal and sub-strip type boundary conditions. Our results are new in the present setting and rely on the contraction mapping principle and a fixed point theorem due to O'Regan. Some illustrative examples are also presented

Systems Medicine of Cancer: Bringing Together Clinical Data and Nonlinear Dynamics of Genetic Networks.

Editoria

Variations in the Intragene Methylation Profiles Hallmark Induced Pluripotency

We demonstrate the potential of differentiating embryonic and induced pluripotent stem cells by the regularized linear and decision tree machine learning classification algorithms, based on a number of intragene methylation measures. The resulting average accuracy of classification has been proven to be above 95%, which overcomes the earlier achievements. We propose a constructive and transparent method of feature selection based on classifier accuracy. Enrichment analysis reveals statistically meaningful presence of stemness group and cancer discriminating genes among the selected best classifying features. These findings stimulate the further research on the functional consequences of these differences in methylation patterns. The presented approach can be broadly used to discriminate the cells of different phenotype or in different state by their methylation profiles, identify groups of genes constituting multifeature classifiers, and assess enrichment of these groups by the sets of genes with a functionality of interest

Fuzzy control system review

Overall intelligent control system which runs on fuzzy, genetic and neural algorithm is a promising engine for large –scale development of control systems . Its development relies on creating environments where anthropomorphic tasks can be performed autonomously or proactively with a human operator. Certainly, the ability to control processes with a degree of autonomy is depended on the quality of an intelligent control system envisioned. In this paper, a summary of published techniques for intelligent fuzzy control system is presented to enable a design engineer choose architecture for his particular purpose. Published concepts are grouped according to their functionality. Their respective performances are compared. The various fuzzy techniques are analyzed in terms of their complexity, efficiency, flexibility, start-up behavior and utilization of the controller with reference to an optimum control system condition

Complex and unexpected dynamics in simple genetic regulatory networks

Peer reviewedPublisher PD

Phenotypic spectrum in osteogenesis imperfecta due to mutations in TMEM38B: unravelling a complex cellular defect.

Context: Recessive mutations in TMEM38B cause type XIV osteogenesis imperfecta (OI) by dysregulating intracellular calcium flux. Objectives: Clinical and bone material phenotype description and osteoblast differentiation studies. Design and Setting: Natural history study in paediatric research centres. Patients: Eight patients with type XIV OI. Main Outcome Measures: Clinical examinations included: bone mineral density, radiographs, echocardiography and muscle biopsy. Bone biopsy samples (n=3) were analysed using histomorphometry, quantitative backscattered electron microscopy and Raman microspectroscopy. Cellular differentiation studies were performed on proband and control osteoblasts and normal murine osteoclasts. Results: The clinical phenotype of type XIV OI ranges from asymptomatic to severe. Previously unreported features include vertebral fractures, periosteal cloaking, coxa vara and extraskeletal features (muscular hypotonia, cardiac abnormalities). Proband L1-L4 bone density Z-score was reduced (median -3.3 [range -4.77 to +0.1; n=7]), and increased by +1.7 (1.17 to 3.0; n=3) following bisphosphonate therapy. TMEM38B mutant bone has reduced trabecular bone volume, osteoblast and particularly osteoclast numbers, with >80% reduction in bone resorption. Bone matrix mineralization is normal and nanoporosity low. We demonstrate a complex osteoblast differentiation defect with decreased expression of early markers and increased late and mineralization-related markers. Predominance of TRIC-B over TRIC-A expression in murine osteoclasts supports an intrinsic osteoclast defect underlying low bone turnover. Conclusions: OI type XIV has a bone histology, matrix mineralization and osteoblast differentiation pattern that is distinct from OI with collagen defects. Probands are responsive to bisphosphonates and some show muscular and cardiovascular features possibly related to intracellular calcium flux abnormalities

Convective Heat Transfer Analysis on Prandtl Fluid Model with Peristalsis

The effects of magnetohydrodynamic (MHD) on peristaltic transport of Prandtl fluid in a symmetric channel have been studied under the assumptions of long wave length and low-Reynolds number. Channel walls are considered compliant in nature. Series solutions of axial velocity, stream function and temperature are given by using regular perturbation technique for small values of Prandtl fluid parameter. The effects of physical parameters on the velocity, streamlines and temperature are examined by plotting graphs

Computations of local nonsimilar solutions for MHD flow of Reiner–Rivlin fluid

Here local nonsimilar solution for hydromagnetic stretched flow of Reiner–Rivlin material is constructed. Heat generation, radiation, and dissipation in thermal expression are studied. Joule heating and chemical reaction of first order are under consideration. Entropy generation is computed. Nonlinear system is derived by adequate transformations. Optimal homotopy analysis technique computes the analysis. Attention is focused to achieve the results of concentration, fluid flow, entropy rate, and temperature. In addition, the skin friction, solutal transport rate and Nusselt number have been explained. Outcomes of magnetic field on velocity and entropy rate are found opposite. Large approximation of fluid parameter improves the fluid flow. Larger estimation of Brinkman number yields same results of entropy generation and temperature. Reduction in concentration is noted through Schmidt number. Higher reaction variable correspond to reduce concentration. Temperature and entropy generation through radiation variable has similar trend. Material variable has similar results for rate of mass transport and coefficient of skin friction. Radiation amplifies the thermal transport rate. Reverse effect for entropy rate and Bejan number is detected for magnetic field