the assessment of the degree or rate of cellular proliferation and cell viability is critical for the assessment of the effects of drugs on both normal and malignant cell populations. in the present study, a few novel 3-substituted derivatives of 2-indolinones were synthesized by condensation of substituted oxindole or isatin derivatives with appropriate aldehydes or primary aromatic amines res...

In this paper we study nonmonotone globalization techniques, in connection with finite-difference inexact Newton-GMRES methods, for solving large-scale systems of nonlinear equations in the case that the Jacobian matrix is not available. We first define a globalization scheme, which combines nonmonotone watchdog rules and nonmonotone derivative-free line searches, and we prove its global conver...

in this study, based on the optimal free derivative without memory methods proposed by cordero et al. [a. cordero, j.l. hueso, e. martinez, j.r. torregrosa, generating optimal derivative free iterative methods for nonlinear equations by using polynomial interpolation, mathematical and computer modeling. 57 (2013) 1950-1956], we develop two new iterative with memory methods for solving a nonline...

This paper addresses the solution of bound-constrained optimization problems using algorithms that require only the availability of objective function values but no derivative information. We refer to these algorithms as derivative-free algorithms. Fueled by a growing number of applications in science and engineering, the development of derivativefree optimization algorithms has long been studi...

OBJECTIVE Irinotecan is a botanical derivative and an anti-cancer drug with cytotoxic and genotoxic effects. The present study evaluated the effect of Lactobacillus plantarum A7 on the genotoxic activity of irinotecan in a hepatocellular carcinoma cell line (HepG2) by comet assay. MATERIALS AND METHODS HepG2 were incubated with irinotecan (100 µM), heat-killed cells (0.025 µg/ml) + irinotecan...

A new family of eighth-order derivative-freemethods for solving nonlinear equations is presented. It is proved that these methods have the convergence order of eight. These new methods are derivative-free and only use four evaluations of the function per iteration. In fact, we have obtained the optimal order of convergence which supports the Kung and Traub conjecture. Kung and Traub conjectured...