Lactic fermentation and respiration are important metabolic pathways on which life is based. Here, the rate of entropy in a cell associated to fermentation and respiration processes in glucose catabolism of living systems is calculated. This is done for both internal and external heat and matter transport according to a thermodynamic approach based on Prigogine’s formalism. It is shown that the...

A task is randomly drawn from a finite set of tasks and is described using a fixed number of bits. All the tasks that share its description must be performed. Upper and lower bounds on the minimum ρ-th moment of the number of performed tasks are derived. The key is an analog of the Kraft Inequality for partitions of finite sets. When a sequence of tasks is produced by a source of a given Rényi ...

Two recent studies, by Molet et al. (2016) and Davis et al. (in press) with rats and humans, support the hypothesis that the predictability of maternal signals influences cognitive and emotional development. Both studies use a measure of entropy rate to characterize predictability of maternal sensory signals. This document describes the common cross-species approach in which maternal sensory si...

Analysis of entropy generation rate for transient heat conduction, taking place in homogeneous solid slab with fixed temperature boundary conditions, is presented. The initial condition is defined as a constant temperature. The exact solution is solved and used to analyze the local and total entropy generation rates. Two cases, heating and cooling processes, are considered in this study. It is ...

Abstract We study the multiplicative version of classical Furstenberg’s filtering problem, where instead sum $$\textbf{X}+\textbf{Y}$$ X+Y one considers product $$\textbf{X}\cdot \textbf{Y}$$ xmlns:mml="http://www.w3.org/1998/Math/MathML">...