As modern molecular biology moves towards the analysis of biological systems as opposed to their individual components, the need for appropriate mathematical and computational techniques for understanding the dynamics and structure of such systems is becoming more pressing. For example, the modeling of biochemical systems using ordinary differential equations (ODEs) based on high-throughput, ti...

We consider a variant of the game of Cops and Robbers, called Lazy Cops and Robbers, where at most one cop can move in any round. We investigate the analogue of the cop number for this game, which we call the lazy cop number. Lazy Cops and Robbers was recently introduced by Offner and Ojakian, who provided asymptotic upper and lower bounds on the lazy cop number of the hypercube. By coupling th...

We introduce, analyze, and implement a new method for parameter identification for system of ordinary differential equations that are used to model sets of biochemical reactions. Our method relies on the integral formulation of the ODE system and a method of linear least squares applied to the integral equations. Certain variants of this method are also introduced in this paper.

Comparison between two amino-acid-sequences was quantified by matrices. The hydrophilicity of each amino acid was used as a parameter to characterize the sequence and its functional aspect in a water environment. The eigenvalues calculated in the linear transformation give an image of a biochemical conversion between two amino-acid-sequences.

Publications are increasingly (often wrongly) being used as research outputs. Furthermore, ‘impacts’ of such publications are often (wrongly as well) measured using ‘citations’. Popular metric, like the ‘Hirsch index’, or ‘h-index’ is used as yardstick for judging the quality of individual researchers. However, there are many controversies around it, whether it is a good yardstick, which could ...

teucrium polium l. (tp) is widely used in traditional medicine of many countries including iran. there are various reports about pharmacological properties of tp such as calcium antagonist, anti- ulcer, anti – diabetic. there are a few reports about possible toxicological effects of this plant. in the present study we designed to evaluate the subchronic toxicity of teucrium polium total extract...

Alcoholic extract of Acacia leucophploea root was investigated to find out their antifertility activity. Antifertility activity was evaluated by estrus cycle study, genital organ weight and biochemical parameter. Alcoholic extract at 200 mg/kg dose increased proestrus phase significantly while estrus and metaestrus phases were decreased. At this dose weight of ovary also decreased and cholester...

We describe and analyse Levenberg–Marquardt methods for solving systems of nonlinear equations. More specifically, we first propose an adaptive formula for the Levenberg–Marquardt parameter and analyse the local convergence of the method under Hölder metric subregularity. We then introduce a bounded version of the Levenberg–Marquardt parameter and analyse the local convergence of the modified m...

High-risk clinically localized prostate cancer is seen in a highly heterogeneous population with a wide variation of clinical aggressiveness and a novel subclassification for the better prediction of clinical outcomes is needed. The aim of this study is to validate a modified D'Amico risk criteria for substratification of high-risk prostate cancer with regard to the prediction of biochemical re...