A Common Unique Random Fixed Point Theorem in Hilbert Space using Integral Type Mappings

The object of this paper is to obtain a common random fixed point theorem for two continuous random operators defined on a non empty closed subset of a separable Hilbert space for integral type mapping. Key wards: common fixed point, rational expression, hilbert space random variabl

A Common Random Fixed Point Theorem for Rational Ineqality in Hilbert Space using Integral Type Mappings

ABSTRACT: The object of this paper is to obtain a common random fixed point theorem for four continuous random operators defined on a non empty closed subset of a separable Hilbert space for integral type mapping. Key wards: common fixed point, rational expression, hilbert space random variabl

Evaluation of Antioxidant Activity of Cedrela toona Roxb. Leaf Extracts

Antioxidant potency of fruits of Cedrela toona Roxb. crude methanol and its fractionated extracts (hexane, acetone and water) have been investigated, employing three different established in vitro testing systems, such as scavenging activity on 1,1-diphenyl-2-picrylhydrazyl (DPPH) radicals, reducing power assay and β-carotene method. The methanol extract of fruits of Cedrela toona Roxb. showed the best DPPH scavenging activity with the lowest EC 50 34 μg/ml, followed by the acetone (EC 50 39 μg/ml), hexane (EC 50 48 μg/ml) and water extract (EC 50 54 μg/ml). The reducing power of Cedrela toona Roxb. fruit extracts increased steadily with increasing concentrations and varied significantly with different concentrations. The methanol and acetone extracts appeared to possess the highest significant reducing activity among the extracts. The stronger reducing power in the methanol and acetone extracts was probably due to the concentration of antioxidant compounds like flavonoids and phenolics in the extract. In the β-carotene bleaching assay, the antioxidant activities of all the fruits extracts gradually increased with increasing concentration of the extracts and varied significantly with different concentrations. The water extract showed the lowest significant antioxidant activity, while the methanol extract showed the highest significant antioxidant activity. The high antioxidant activity of methanol extract tested using β-carotene model may be correlated with the high phenolic content of the methanol extract.  In conclusion, antioxidant study suggested that fruits of Cedrela toona Roxb. are potential source of natural antioxidants. However, further investigations on in vivo antioxidant activities are highly recommended. In the present study, the antioxidant potency of Cedrela toona Roxb. crude methanol and its fractionated extracts (hexane, acetone and water) have been investigated, employing three different established in vitro testing systems, such as scavenging activity on 1,1-diphenyl-2-picrylhydrazyl (DPPH) radicals, reducing power assay and β-carotene method. There is no antioxidant study reported for Cedrela toona Roxb.Thus, antioxidant activity of Cedrela toona Roxb. was evaluated as it had not been determined previously

Common Random Fixed Point Theorems of Contractions in Partial Cone Metric Spaces over Non normal Cones

The purpose of this paper is to prove existence of common random fixed point in the setting of partial cone metric space over the non-normal cones. Key wards: common fixed point,cone metric space, random variabl

ON COMMON RANDOM FIXED POINTS OF MAPPINGS IN HILBER SPACE

The We find common random fixed point of two random operator in closed convex subset of separable Hilbert space by considering a sequence of measurable function satisfying condition A,B and C. Key wards: common fixed point, rational expression, hilbert space random variabl

Caveolin-1 Phosphorylation Is Essential for Axonal Growth of Human Neurons Derived From iPSCs.

Proper axonal growth and guidance is essential for neuron differentiation and development. Abnormal neuronal development due to genetic or epigenetic influences can contribute to neurological and mental disorders such as Down syndrome, Rett syndrome, and autism. Identification of the molecular targets that promote proper neuronal growth and differentiation may restore structural and functional neuroplasticity, thus improving functional performance in neurodevelopmental disorders. Using differentiated human neuronal progenitor cells (NPCs) derived from induced pluripotent stem cells (iPSCs), the present study demonstrates that during early stage differentiation of human NPCs, neuron-targeted overexpression constitutively active Rac1 (Rac1CA) and constitutively active Cdc42 (Cdc42CA) enhance expression of P-Cav-1, T-Cav-1, and P-cofilin and increases axonal growth. Similarly, neuron-targeted over-expression of Cav-1 (termed SynCav1) increases axonal development by increasing both axon length and volume. Moreover, inhibition of Cav-1(Y14A) phosphorylation blunts Rac1/Cdc42-mediated both axonal growth and differentiation of human NPCs and SynCav1(Y14A)-treated NPCs exhibited blunted axonal growth. These results suggest that: (1) SynCav1-mediated dendritic and axonal growth in human NPCs is dependent upon P-Cav-1, (2) P-Cav-1 is necessary for proper axonal growth during early stages of neuronal differentiation, and (3) Rac1/Cdc42CA-mediated neuronal growth is in part dependent upon P-Cav-1. In conclusion, Cav-1 phosphorylation is essential for human neuronal axonal growth during early stages of neuronal differentiation

Some Common Random Fixed Point Results for Expansive Mappings in a Cone Metric Space

The purpose of this work is to extend and generalize some common random fixed point theorems for Expansive type mappings in complete cone metric spaces. We are attempting to generalize the several well- known recent results. Key wards: common fixed point, cone metric space, random variabl

EVALUATION OF ANTI-INFLAMMATORY ACTIVITY OF PLANT RIVEA ORNATA

The aim of present study was to explore the probable anti -inflammatory effect of methanolic extract obtained from the plant Rivea ornata. Anti- inflammatory activity was studied by Carrageenan induced rat paw edema. The extract was administered orally in dose of 200 and 400 mg/kg/body weight to healthy animals. These extract showed a greater anti inflammatory effect comparative to standard drug Indomethacin. Keywords:  Arial part, Rivea ornata, Anti-inflammatory, Indomethaci

EVALUATION OF ANTIHYPERLIPIDAEMIC EFFECT OF CEDRELA TOONA ROXB. FRUITS

Fruit extracts of Cedrela toona Roxb. were evaluated for their antihyperlipidaemic effect in swiss albino female rats. High Cholesterol diet was prepared by mixing cholesterol 2%, sodium cholate 1% and coconut oil 2% or 30 %, with standard powdered standard animal food. The diet was placed in the cage carefully and was aministered for seven days.  Methanol, Chloroform, and Aqueous extracts of Cedrela toona fruits were administered orally at a dose of 250 mg/kg body wt to Hyperlipidaemic rats. After seven days, blood samples were collected from the tail vein after 8 hr fast and allowed to clot for 30 minutes at room temperature. Blood samples were centrifuged at 3000 rpm for 20 minutes. Serum was separated and stored at -20°C until biochemical estimations were carried out. Serum samples were analyzed spectrophotometrically for Cholesterol, triglyceride and HDL-C was estimated using diagnostic kits which were procured from Lab-Care Diagnostics (India) Pvt. Ltd.- Mumbai (India). Results showed that methanolic extract and aqueous extract had  significant effect  in hyperlipidemic rats. KEYWORDS:  Cedrela toona, Hyperlipidaemia, Fruit, Cholesterol, Triglyceride