Microbial cultures are comprised of heterogeneous cells that differ according to their size and intracellular concentrations of DNA, proteins and other constituents. Recent advances have been made in cell population modeling, which allow the effects of cell heterogeneity on culture dynamics and metabolite production to be predicted. If the intracellular state can be captured with a few variable...

background: pulmonary function tests (pfts) are used in assessing physiological to clinical status of the respiratory system, which is expressed as a percentage of predicted values. predicted pfts values are varies in different ethnics. predicted pfts values were studied in a sample of iranian children. materials and methods: prediction equations for pfts were derived from urban children in the...

Keywords: Operator-splitting method Finite element method Parabolic equations High-dimensional problems a b s t r a c t An operator-splitting finite element method for solving high-dimensional parabolic equations is presented. The stability and the error estimates are derived for the proposed numerical scheme. Furthermore, two variants of fully-practical operator-splitting finite element algori...

in this paper, sufficient conditions are investigated for the existence of periodic (not necessarily positive) solutions for nonlinear several time delay population system with feedback control. nonlinear system affected by an periodic external source is studied. existence of a control variable provides  the extension of  some previous results obtained in other studies. we give a illustrative e...

In this paper we examine fluctuation and frequency of the governing equation ofoscillator with odd and even nonlinearities without damping and we present a new efficientmodification of the He’s homotopy perturbation method for this equation. We applied standard andmodified homotopy perturbation method and compare them with the numerical solution (NS), also weapplied He’s Energy balance method (...

• We can still talk about reversibility if the chain is only irreducible and positive-recurrent. • If one assumes that the chain is in stationary distribution from the start, then the backwards chain Xn, Xn−1, . . . has the same transition probabilities as the original chain, hence the name “reversible”. • If π∗ satisfies the detailed balance equation, then π∗ = π∗P . • The reciprocal statement...

In modeling heat transfer in gas-solid processing systems, five interphase thermal processes are to be considered: gas-particle, gas-wall, particle-particle, particle-wall and wall-environment. In systems with intensive motion of particles, the particle-particle and particle-wall heat transfers occur through inter-particle and particle-wall collisions so that both experimental and modeling stud...