Author: Héctor Vázquez Leal

Medical informatics can improve Mexico’s public health system

Héctor Vázquez Leal Roberto Castañeda Sheissa CARMEN GUILLERMINA BLAZQUEZ DOMINGUEZ Luis Hernández Martínez (2011)

The health system for any country is one of the top priorities to guarantee the proper development for their citizens. For the specific case of Mexico, management of medical records is still being done using physical files whether patient attends a public or private physician or hospital. This poses a potential problem for the health structure and the patient because physical files tend to deteriorate, damage, could be stolen or mishandled. One possibility is to evolve from the use of physical files and create electronic medical records. Mexico already has an official standard for medical records; this standard could serve as the foundation to devise an electronic universal record. The idea for the electronic universal record is to serve as the base to implement an electronic public health scheme. This article will provide several key aspects to take into account in order to provide an efficient, secure and cost efficient electronic medical record. Aspects to be considered include: standardized medical nomenclature, clinical procedures, data transmission standards, legal aspects, electronic security, and data storage schemes. The impact of this proposal for Mexico will be discussed in detail.

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Medical informatics Electronic medical record Hospital management system and health informatics CIENCIAS FÍSICO MATEMÁTICAS Y CIENCIAS DE LA TIERRA FÍSICA ELECTRÓNICA ELECTRÓNICA

Homotopy method with a formal stop criterion applied to circuit simulation

Héctor Vázquez Leal Luis Hernández Martínez Librado Arturo Sarmiento Reyes Roberto Castañeda Sheissa AGUSTIN GALLARDO DEL ANGEL (2011)

The continuous scaling for fabrication technologies of electronic circuits demands the design of new and improved simulation techniques for integrated circuits. Therefore, this work shows a new double bounded polynomial homotopy based on a polynomial formulation with four solution lines separated by a fixed distance. The new homotopy scheme presents a bounding between the two internal solution lines and the symmetry axis, which allows to establish a stop criterion for the simulation in DC. Besides, the initial and final points on this new double bounded homotopy can be set arbitrarily. Finally, mathematical properties for the new homotopy are introduced and exemplified using a benchmark circuit.

Article

Homotopy continuation methods Multistable circuits CIENCIAS FÍSICO MATEMÁTICAS Y CIENCIAS DE LA TIERRA FÍSICA ELECTRÓNICA CIRCUITOS INTEGRADOS CIRCUITOS INTEGRADOS

An easy and computable approximation for Troesch’s problem by using the Laplace Transform-Homotopy Perturbation Method

Una solución aproximada y práctica al problema de Troesch utilizando el Método de Perturbación Homotópica con Transformada de Laplace

URIEL ANTONIO FILOBELLO NIÑO Héctor Vázquez Leal AGUSTIN LEOBARDO HERRERA MAY VICTOR MANUEL JIMENEZ FERNANDEZ DOMITILO PEREYRA DIAZ (2019)

Este artículo propone el método de perturbación homotópica con Transformada de Laplace paraencontrar una solución aproximada al problema de Troesch. Después de comparar las figuras entre la solución aproximada y la exacta, así como el error relativo absoluto promedio (AARE) de las soluciones aproximadas en este estudio, con otras reportadas en la literatura, se puede decir que la solución propuesta es, además de práctica, precisa. Se concluye que el método LTHPM es potencialmente útil

This work introduces the Laplace Transform-HomotopyPerturbation Method (LT-HPM) in order to provide an approximate solution forTroesch’s problem. After comparing figures between exact and approximate solutions, as well as the average absolute relative error (AARE) of the approximate solutions of this research, with others reported in the literature, it can be said that the proposed solutions are accurate and handy. In conclusion, LT-HPM is a potentially useful tool

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INGENIERÍA Y TECNOLOGÍA Transformada de Laplace Método de Perturbación Homotópica Problema de Troesch Laplace Transform Homotopy Perturbation Method Troesch’s Problem

A handy, accurate, invertible and integrable expression for Dawson’s function

Una expresión compacta y precisa además de invertible e integrable de la función de Dawson

URIEL ANTONIO FILOBELLO NIÑO Héctor Vázquez Leal AGUSTIN LEOBARDO HERRERA MAY ROBERO CARLOS AMBROSIO LAZARO Roberto Castañeda Sheissa (2019)

En este artículo se propone una expresión compacta y precisa de la función de Dawson, la cual es invertible e integrable. Se observa que el error relativo máximo que se encuentra empleando la aproximación aquí propuesta es del 2.5%. Por consiguiente, se hace notar que la aproximación a la integral de la función de Dawson, que se expresa solo en términos de funciones elementales, tiene un error absoluto máximo de 7 × 10-3. A manera de ejemplo, se aplicará la aproximación aquí propuesta a un problema no-clásico de conducción de calor para obtener una solución aproximada, compacta y precisa

This article proposes a handy, accurate, invertible and integrable expression for Dawson’s function. It can be observed that the biggest relative error committed, employing the proposed approximation here, is about 2.5%. Therefore, it is noted that this integral approximation to Dawson’sfunction, expressed only in terms of elementary functions, has a maximum absolute error of just 7 × 10-3. As a case study, the integral approximation proposed here will be applied to a nonclassical heat conduction problem, contributing to obtain a handy, accurate, analytical approximate solution for that problem

Article

BIOLOGÍA Y QUÍMICA Dawson’s function Ordinary differential equation Approximate methods Stefan problem Función de Dawson Ecuaciones diferenciales ordinarias Métodos aproximados Problema de Stefan

Powering multiparameter homotopy-based simulation with a fast path-following technique

Héctor Vázquez Leal Roberto Castañeda Sheissa FELIPE DE JESUS RABAGO BERNAL Luis Hernández Martínez Librado Arturo Sarmiento Reyes URIEL ANTONIO FILOBELLO NIÑO (2011)

The continuous scaling for fabrication technologies of electronic circuits demands the design of new and improved simulation techniques for integrated circuits. Therefore, this work shows how the hypersphere technique can be adapted and applied to trace a multiparameter homotopy. Besides, we present a path-following technique based on circles (evolved from hypersphere), which is faster, and simpler to be implemented than hypersphere technique. Last, a comparative analysis between both techniques applied to simulation of circuits with bipolar transistors will be shown.

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CIENCIAS FÍSICO MATEMÁTICAS Y CIENCIAS DE LA TIERRA FÍSICA ELECTRÓNICA ELECTRÓNICA