Proliferating cell populations at steady state growth often exhibit broad protein distributions with exponential tails. The sources of this variation and its universality are of much theoretical interest. Here we address the problem by asymptotic analysis of the Population Balance Equation. We show that the steady state distribution tail is determined by a combination of protein production and ...

In every cross-cultural study, the question as to whether test scores obtained in different cultural populations can be interpreted in the same way across these populations has to be dealt with. Bias and equivalence have become the common terms to refer to the issue. Taxonomy of both bias and equivalence is presented. Bias can be engendered by the theoretical construct (construct bias), the met...

a r t i c l e i n f o This study examined both mothers' and fathers' parenting (positive and negative) and adolescents' personal characteristics (religiosity, social initiative, aggression, depression) in relation to perceived deviant peer association for European American and Latino adolescents. Using structural equation modeling, adolescents' reports of positive or negative mothering and fath...

Structural equation modelling (SEM) is a powerful tool to explore and contrast hypotheses on causal relationships among variables using observational data. It constitutes an alternative to experimental approaches that is especially useful in the conservation of small populations where the implementation of treatments may have a negative effect on population viability. We are presently applying ...

Title of Dissertation: Applications of Dweck’s Model of Implicit Theories to Teachers’ Self-Efficacy and Emotional Experiences Alexis Ymon Williams, Doctor of Philosophy, 2012 Directed By: Professor Kathryn R. Wentzel Department of Human Development and Quantitative Methodology The current study explored Dweck’s (1999; Dweck & Leggett, 1988) model of implicit theories in the context of teaching...

Oxidative stress derived from activated neutrophils is considered important in the development of multi-organ dysfunction syndrome during sepsis. However, so far, trials investigating the putative beneficial effects of antioxidant therapy have yielded conflicting results and have been subject to debate because of heterogenous patient populations and differences in the dosage and types of antiox...

Nonlinear or linear algebraic systems appear as steady-state equations in continuous and discrete dynamical models (e.g., reaction-diffusion equations [14,19], neural networks [5,6,15,22] compartmental systems [2,4,11,12,16,17], population models [13,21]). Next we mention some typical models. Compartmental systems are used to model many processes in pharmacokinetics, metabolism, epidemiology an...

This paper aims to compare rational Chebyshev (RC) and Hermite functions (HF) collocation approach to solve the Volterra’s model for population growth of a species within a closed system. This model is a nonlinear integro-differential equation where the integral term represents the effect of toxin. This approach is based on orthogonal functions which will be defined. The collocation method redu...

We denote by e the vector, of dimensions that are clear by the context, all of whose components are 1. With this notation, a necessary compatibility condition for our model is that e = a+b(e, e), that is, for each i we require the probabilities of all the possible events that can happen to an individual in state i to sum to 1. Markovian binary trees are used not only for population dynamics, bu...

In this paper, we present a mean field game to model the production behaviors of a very large number of producers, whose carbon emissions are regulated by government. Especially, an emission permits trading scheme is considered in our model, in which each enterprise can trade its own permits flexibly. By means of the mean field equilibrium, we obtain a Hamilton-Jacobi-Bellman (HJB) equation cou...