This work proposes a novel mathematical model based on time conformable derivative convective mass transfer equation to calculate the volumetric oxygen coefficient (kLa) in bioreactor. To validate model, full mixed-level experimental design was proposed with two factors: agitation speed and dispersed phase. The employs derivate order operator (α) electrode constant (kp), which changes use opera...

This paper is concerned with developing a nonparametric time–varying coefficient model with fixed effects to characterize nonstationarity and trending phenomenon in nonlinear panel data analysis. We develop two methods to estimate the trend function and the coefficient function without taking the first difference to eliminate the fixed effects. The first one eliminates the fixed effects by taki...

A cross-sectional study evaluated 182 students in the last two years of medical school and 70 residents of a national hospital in Peru on the risk indicators used for reporting results in clinical trials. A questionnaire was used to assess the ability to recognize and calculate risk indicators most widely used in the epidemiological literature. From the participants, 19.4% did not recognize any...

A simple relationship between the correlation coefficient and the applied strain, applicable only at low strains, is presented in this article. This relationship is derived for a Gaussian modulated cosine point spread function. The performance of the strain estimator is analyzed using a theoretical expression for the correlation coefficient along with simulation and experimental results. Both t...

The present work proposes tests for reduced rank in multivariate regression coefficient matrices, under rather general conditions. A heuristic approach is to first estimate the regressions via standard methods, then compare the coefficient matrix rows (or columns) to assess their redundancy. A formal version of this approach utilizes the distance between an unrestricted coefficient matrix estim...