Differential equations for the kinetics of complementary replicating macromolecules in a flow reactor are derived. It is shown that such a model has many features in common with the differential equation for direct replication, the replicator equation. Two special cases of replication, and the influence of mutation on them, have been studied in detail. In the case of first-order mass action kin...

We propose a method for obtaining kinetic parameters of unlabeled ligands which is based on analyzing the effect of their competition on the binding kinetics of a labeled ligand. In this method (competition kinetics), the binding kinetics of a labeled ligand are measured in the absence and in the presence of given concentrations of a competing unlabeled ligand. The rate equations appropriate to...

‎in this paper‎, ‎we propose two preconditioned aor iterative methods to solve systems of linear equations whose coefficient matrices are z-matrix‎. ‎these methods can be considered as improvements of two previously presented ones in the literature‎. ‎finally some numerical experiments are given to show the effectiveness of the proposed preconditioners‎.‎

in this paper, we study the boundedness and persistence of the solutions, the global stability of the unique positive equilibrium point and the rate of convergence of a solution that converges to the equilibrium $e=(bar{x}, bar{y})$ of the system of two difference equations of exponential form: begin{equation*} x_{n+1}=dfrac{a+e^{-(bx_n+cy_n)}}{d+bx_n+cy_n}, y_{n+1}=dfrac{a+e^{-(by_n+cx_n)}}{d+...

degenerate kernel approximation method is generalized to solve hammerstein system of fredholm integral equations of the second kind. this method approximates the system of integral equations by constructing degenerate kernel approximations and then the problem is reduced to the solution of a system of algebraic equations. convergence analysis is investigated and on some test problems, the propo...

Periodic traveling waves (wavetrains) have been extensively studied for reaction-diffusion equations. One important motivation for this work has been the identification of periodic traveling wave patterns in spatiotemporal data sets in ecology. However, for many ecological populations, diffusion is no more than a rough phenomenological representation of dispersal, and spatial convolution with a...

in this paper, the stability and boundedness of solutions of a second order nonlinear vectordifferential equation are investigated. our results include and improve some well-known results in therelevant literature.

This study was aimed to evaluate the correlation between in vitro fermentation and in situ degradation parameters and to predict dry matter degradability and energy protein synchronization of roughage based diets. Different inclusion of roughage in diets [roughage 50% diet (R50D), roughage 60% diet (R60D), roughage 65% diet (R65D) and roughage ...

The present study seeks to investigate the capacity of polyaniline/titanium dioxide (PAn/TiO2) and Polypyrrole/titanium dioxide (PPy/TiO2) nano-adsorbents to adsorb Congo red anionic dye (CR) from aqueous solution. The variables effective in CR adsorption, including adsorbent dose, pH of the solution, contact time, initial dye concentration, and temperature were examined. The study yielded the ...

one of the ecient and powerful schemes to solve linear and nonlinear equationsis homotopy analysis method (ham). in this work, we obtain the approximate solution ofa system of partial dierential equations (pdes) by means of ham. for this purpose, wedevelop the concept of ham for a system of pdes as a matrix form. then, we prove theconvergence theorem and apply the proposed method to nd the a...