Analytical solutions of some special nonlinear partial differential equations using Elzaki-Adomian decomposition method

We apply the Elzaki-Adomian Decomposition Method (EADM) in this study to solve nonlinear Benjamin-Bona-Mahony (BBM) and Fisher's partial differential equations (PDE). This method, being an integral transform, is a hybrid of two well-known and efficient methods: the Elzaki transform and the Adomian decomposition method. The method is demonstrated by solving two special cases of the BBM Equation and one special case of Fisher's partial differential equation. Because of its high convergence rate in approximating exact solutions, this approach is very dependable. The method can also produce numerical solutions without the usage of restrictive assumptions or the discretization typical of numerical methods; making it free of round-off errors. The Elzaki-Adomian Decomposition method employs a straightforward computation that leads to effectiveness. The efficiency of EADM is demonstrated in the significant reduction of number of numerical computations. The effectiveness and efficiency of EADM account for its broad application, particularly for higher order PDEs

Producing a Scale-Invariant Spectrum of Perturbations in a Hagedorn Phase of String Cosmology

We study the generation of cosmological perturbations during the Hagedorn phase of string gas cosmology. Using tools of string thermodynamics we provide indications that it may be possible to obtain a nearly scale-invariant spectrum of cosmological fluctuations on scales which are of cosmological interest today. In our cosmological scenario, the early Hagedorn phase of string gas cosmology goes over smoothly into the radiation-dominated phase of standard cosmology, without having a period of cosmological inflation.Comment: 4 pages, 1 figur

Applications of SSAFT EOS for determination of the solubilities of solid compounds in supercritical CO2.

Using statistical thermodynamics such as Simplified SAFT equation of state (SSAFTEoS) for estimating phase equilibrium and fluid properties of different materials have been used widely. SSAFT EoS has been developed for associative and non-associative compounds. At high pressure inter molecular forces are very important, on the other hand, in spite of the fact that SSAFT EoS has strength theoretical foundation, it can predict the behavior of high pressure systems. In this research, four solid solubility of benzoic acid, naphthalene, pyrene and Phenanthrene in supercritical carbon dioxide have been studied, SSAFT EoS has been used for modeling. At the end the results have been compared with experimental data. The highest and the absolute average deviation error (AAPD), for carbon dioxide - Phenanthrene and benzoic acid - carbon dioxide systems have been reported 2.22 and 4.43 respectively.Keywords: SSAFT EoS; Supercritical carbon dioxide; Solid compounds; Solubility

Early versus Late Decompression for Traumatic Spinal Cord Injuries; a Systematic Review and Meta-analysis

Introduction: Despite the vast number of surveys, no consensus has been reached on the optimum timing of spinal decompression surgery. This systematic review and meta-analysis aimed to compare the effects of early and late spinal decompression surgery on neurologic improvement and post-surgical complications in patients with traumatic spinal cord injuries.Methods: Two independent reviewers carried out an extended search in electronic databases. Data of neurological outcome and post-surgery complication were extracted. Finally, pooled relative risk (RR) with a 95% confidence interval (CI) was reported for comparing of efficacy of early and late surgical decompression.Results: Eventually 22 studies were included. The pooled RR was 0.77 (95% CI: 0.68-0.89) for at least one grade neurological improvement, and 0.84 (95% CI: 0.77-0.92) for at least two grade improvement. Pooled RR for surgical decompression performed within 12 hours after the injury was 0.26 (95% CI: 0.13-0.52; p<0.001), while it was 0.75 (95% CI: 0.63-0.90; p=0.002) when the procedure was performed within 24 hours, and 0.93 (95% CI: 0.76-1.14; p=0.48) when it was carried out in the first 72 hours after the injury. Surgical decompression performed within 24 hours after injury was found to be associated with significantly lower rates of post-surgical complications (RR=0.77; 95% CI: 0.68-0.86; p<0.001).Conclusion: The findings of this study indicate that early spinal decompression surgery can improve neurologic recovery and is associated with less post-surgical complications. The optimum efficacy is observed when the procedure is performed within 12 hours of the injury

The efficacy of Schwann cell transplantation on motor function recovery after spinal cord injuries in animal models: A systematic review and meta-analysis

Aim: This article aimed to assess the efficacy of Schwann cell transplantation on motor function recovery in animal model of spinal cord injuries via meta-analysis. Methods: An extended search was carried out in the electronic databases of Medline (via PubMed), EMBASE (via OvidSP), CENTRAL, SCOPUS, Web of Science (BIOSIS), and ProQuest. Finally, 41 eligible studies conducted on 1046 animals including 517 control animals and 529 transplanted animals were included in the meta-analysis. Pooled standardized mean difference (SMD) and odds ratio (OR) with 95% confidence interval (95% CI) were reported. Results: The findings showed that treatment with Schwann cells leads to a modest motor function recovery after spinal cord injury (SMD = 0.85; 95% CI: 0.63–1.07; p < 0.001). Transplantation of these cells in acute phase of the injury (immediately after the injury) (OR = 4.30; 95% CI: 1.53–12.05; p = 0.007), application of mesenchymal/skin-derived precursors (OR = 2.34; 95% CI: 1.28–4.29; p = 0.008), and cells with human sources are associated with an increase in efficacy of Schwann cells (OR = 10.96; 95% CI: 1.49–80.77; p = 0.02). Finally, it seems thatthe efficacy of Schwann cells in mice is significantly lower than rats (OR = 0.03; 95% CI: 0.003–0.41; p = 0.009). Conclusion: Transplantation of Schwann cells can moderately improve motor function recovery. It seems that inter-species differences might exist regarding the efficacy of this cells. Therefore, this should be taken into account when using Schwann cells in clinical trials regarding spinal cord injuries

Carnosol Attenuates LPS-Induced Inflammation of Cardiomyoblasts by Inhibiting NF-κB: A Mechanistic in Vitro and in Silico Study

Carnosol possesses several beneficial pharmacological properties. However, its role in lipopolysaccharide (LPS) induced inflammation and cardiomyocyte cell line (H9C2) has never been investigated. Therefore, the effect of carnosol and an NF-kappa B inhibitor BAY 11-7082 was examined, and the underlying role of the NF-kappa B-dependent inflammatory pathway was analyzed as the target enzyme. Cell viability, inflammatory cytokines levels (tumor necrosis factor-alpha (TNF-alpha), interleukin (IL)-1 beta, IL-6, and prostaglandin E-2 (PGE(2))), and related gene expression (TNF-alpha, IL-1 beta, IL-6, and cyclooxygenase-2 (COX-2)) were analyzed by ELISA and real-time PCR. In addition, docking studies analyzed carnosol's molecular interactions and binding modes to NF-kappa B and IKK. We report that LPS caused the reduction of cell viability while enhancing both cytokines protein and mRNA levels (P &lt; 0.001, for all cases). However, the BAY 11-7082 pretreatment of the cells and carnosol increased cell viability and reduced cytokine protein and mRNA levels (P &lt; 0.001 vs. LPS, for all cases). Furthermore, our in silico analyses also supported the modulation of NF-kappa B and IKK by carnosol. This evidence highlights the defensive effects of carnosol against sepsis-induced myocardial dysfunction and, contextually, paved the rationale for the next in vitro and in vivo studies aimed to precisely describe its mechanism(s) of action

String Gas Cosmology and Structure Formation

It has recently been shown that a Hagedorn phase of string gas cosmology may provide a causal mechanism for generating a nearly scale-invariant spectrum of scalar metric fluctuations, without the need for an intervening period of de Sitter expansion. A distinctive signature of this structure formation scenario would be a slight blue tilt of the spectrum of gravitational waves. In this paper we give more details of the computations leading to these results.Comment: 12 pages, 3 figure