Exact Traveling and Nano-Solitons Wave Solitons of the Ionic Waves Propagating along Microtubules in Living Cells
MATHEMATICS
Authors: Abdel-Aty, Abdel-Haleem; Khater, Mostafa M. A.; Attia, Raghda A. M.; Eleuch, Hichem
Abstract
In this paper, the weakly nonlinear shallow-water wave model is mathematically investigated by applying the modified Riccati-expansion method and Adomian decomposition method. This model is used to describe the propagation of waves in weakly nonlinear and dispersive media. We obtain exact and solitary wave solutions of this model by using the modified Riccati-expansion method then using these solutions to determine the boundary and initial conditions. These conditions are employed to evaluate the semi-analytical wave solutions and calculate the absolute value of error. The values of absolute error show the accuracy of the obtained solutions. Some solutions are sketched to show the perspective view of the solution of this model. Moreover, the novelty of the obtained solutions is illustrated by showing the similarity and differences between our and previous solutions of the model.
Epicardial, paracardial, and perivascular fat quantity, gene expressions, and serum cytokines in patients with coronary artery disease and diabetes
POLISH ARCHIVES OF INTERNAL MEDICINE-POLSKIE ARCHIWUM MEDYCYNY WEWNETRZNEJ
Authors: Haberka, Maciej; Machnik, Grzegorz; Kowalowka, Adam; Biedron, Malgorzata; Skudrzyk, Estera; Regulska-Ilow, Bozena; Gajos, Grzegorz; Manka, Robert; Deja, Marek; Okopien, Boguslaw; Gasior, Zbigniew
Abstract
INTRODUCTION Obesity and diabetes mellitus (DM) are common disorders that increase cardiovascular risk and lead to coronary artery disease (CAD). OBJECTIVES The aim of our study was to assess the link between epicardial fat (EF) volume and paracardial fat (PF) volume, relative expressions of several genes in epicardial, paracardial, and perivascular fat and corresponding serum cytokines in patients with CAD in relation to DM. PATIENTS AND METHODS A total of 66 consecutive patients (33 with DM) with multivessel CAD were included. We obtained cardiac magnetic resonance, serum cytokines levels, and their relative mRNA expressions in EF, PF, and perivascular fat samples of the following: adrenomedullin (ADM), fibroblast growth factor beta (TGF beta), transforming growth factor beta (TGF beta), phospholipid transfer protein (PLTP), receptor for advanced glycation endproducts (RAGE), thrombospondin 1 (THSB1), and uncoupling protein 1 (UCP1). RESULTS There were no differences in the anthropometric parameters or fat depots, except for higher epicardial fat volume in patients with DM (mean [SD], 105.6 [38.5] ml vs 84 [29.2] ml; P = 0.02). Patients with DM exhibited a significantly increased RAGE expression in EF (median [Q1-Q3], 0.17 [0.06-1.48] AU vs 0.08 [0.02-0.24] AU, P = 0.03). Diabetes was also associated with increased expression of ADM in EF and PF and decreased expression of FGF21 compared with patients without DM. CONCLUSIONS Patients with multivessel CAD and DM revealed increased volume and more dysfunctional profile of gene expressions in EF and significantly decreased expression of cardioprotective FGF21.