In this article, the dynamical DNA equation comes into existence in the oscillatory chain, categorized as the Peyrard-Bishop model. The fractional Peyrard-Bishop model has been studied via β-derivative and M-truncated derivative, for obtaining abundant solitary wave solutions. The proposed model is examined via M-truncated derivative for the first time in this article. The traveling wave transformation method is used to convert the proposed model into an ordinary differential equation. The extended
-expansion method is applied to extract dark solitons, periodic solutions, singular solitons, combo solitons and rational solutions. On comparing our extracted solutions with the existing solutions in the literature, it is found that our results are new and not found in the literature. The obtained results are also explained graphically by plotting 3D plots to understand the phenomena of the proposed model.
Numerous studies demonstrate parallels between CVD, type 2 diabetes mellitus (T2DM) and COVID-19 pathology, which accentuate pre-existing complications in patients infected with COVID-19 and potentially exacerbate the infection course. Antidiabetic drugs such as sodium-glucose transporter-2 (SGLT-2) inhibitors have garnered substantial attention recently due to their efficacy in reducing the severity of cardiorenal disease. The effect of SGLT-2 inhibitors in patients with COVID-19 remains unclear particularly since SGLT-2 inhibitors contribute to altering the RAAS cascade activity, which includes ACE-2, the major cell entry receptor for SARS-CoV2. A study, DARE-19, was carried out to unveil the effects of SGLT-2 inhibitor treatment on comorbid disease complications and concomitant COVID-19 outcomes and demonstrated no statistical significance. However, the need for further studies is essential to provide conclusive clinical findings.
This article investigates the fractional Peyrard-Bishop DNA model. The
construction of soliton solutions have been successfully obtained by
utilizing two versatile analytical methods, namely, the Jacobi elliptic
function method and the tanh-coth method. Furthermore, the Painlev´e
test (P-test) has been employed on the proposed model for investigating
integrability. The proposed model is proved to be integrable. Some of
the obtained solutions have been examined graphically to study the
dynamical behavior.
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