This paper provides an α-order fractional Brownian motion (α-fBm) with Hurst index H ∈ (0,1) and (hereafter $Z_{H}^{\alpha } (t),~t\geq 0$ ), as extension of the n th fBm where is a nonnegative integer (n − 1,n) (e.g. Perrin et al. IEEE Trans. Signal Process., 49, 1049–1059, 2001). We show that process (t)$ (H + α)-self-similar satisfies long-range dependence property. The covariance function s...

Tumor Necrosis Factor-alpha (TNF-α) is ubiquitous in the human body and plays a significant role various physiological pathological processes. However, TNF-α-induced diseases remain poorly understood with limited efficacy due to intricate nature of their mechanisms. N6-methyladenosine (m6A) methylation, prevalent type epigenetic modification mRNA, primarily occurs at post-transcriptional level ...

Abstract We continue to study the distribution of prime numbers p, satisfying condition $\{p^{\alpha} \} \in I \subset [0; 1)$, in arithmetic progressions. In this paper, we prove an analogue Bombieri–Vinogradov theorem for 0 < α 1/9 with level $\theta = 2/5 - (3/5) \alpha$, which improves previous result corresponding \leqslant 1/3$.

Abstract In this paper, we discuss the existence and approximation of solutions for a fourth-order nonlinear boundary value problem by using quasilinearization technique. presence lower solution α an upper β in reverse order $\alpha \geq \beta $ α ≥ β , show (extreme) solution.

A brief review on the progress on in vivo studies of α-particle radiation effects using zebrafish embryos was given in this chapter. The zebrafish, Danio rerio, a small vertebrate from Southeast Asia, has become a preferred model for studying human disease. The main challenges of these α-particle radiobiological experiments included quantification of alpha-particle dose. In particular, speciall...

We report the general phenotype severity and the hematological presentation in a cohort of 125 sickle cell anemia (SCA) patients with identical homozygous HbS/S genotype and categorized by identical β(S) haplotype, both with and without alpha thalassemia. No clear general phenotype correlation was found when patients were compared regardless of the haplotype but overall, patients with homozygou...

background & aim: singhnad guggulu is a traditional ayurvedic formula for detoxifying and rejuvenating the joints. the present study was to investigate the α-amylase inhibition and antioxidant activities of aqueous extract of singhnad guggul (aesg). experimental: α-amylase inhibition assay by dinitro-salicylic acid method and antioxidant activity by ferric chelating and ferrous reducing ass...