School Of Basic And Applied Sciences
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Item Fractional time-delay mathematical modeling of Oncolytic Virotherapy(Elsevier Ltd, 2021-06-19T00:00:00) Kumar, Pushpendra; Erturk, Vedat Suat; Yusuf, Abdullahi; Kumar, SunilAn emerging treatment tool which uses replication-competent viruses to dissipate cancers without causing deficit to normal tissues, named as oncolytic virotherapy, is discussed in the article. We analysed a fractional delay dynamical model on the oncolytic virotherapy compositing viral lytic cycle and virus-specific cytotoxic T lymphocyte (CTL) response. We used a well known Caputo fractional derivative to analyse the structure of the given dynamical model. Using the literature of fixed-point theory, the given time-delay model is specified to have existence of a unique solution. We established different types of graphical simulations for the various values of R0 and R1. We observed a different behaviour of the given fractional model as compare to the integer order model. The given algorithm is smooth in use and reliable to apply on different delay dynamical models. � 2021 Elsevier LtdItem Synthesis of imine-pyrazolopyrimidinones and their mechanistic interventions on anticancer activity(2013) Baviskar, Ashish T.; Banerjee, Uttam C.; Gupta, Mukesh; Singh, Rajveer; Kumar, Sunil; Gupta, Manish K.; Kumar, Sanjeev; Rout, Satish K.; Khullar, Madhu; Singh, Sandeep; Kumar, RajDesign, synthesis and anticancer activity of a series of imine-pyrazolopyrimidinones is reported for the first time. Compounds 9d, 9n and 9o in the series show encouraging in vitro anticancer activity with low micromolar IC50 values against prostate (PC3) and breast (MCF7) cancer cell lines. Some notions about structure-activity relationships and plausible mechanism of biological activity are presented. ? 2013 Elsevier Ltd. All rights reserved.