Browsing Departamento de Matemáticas by Issue Date
Now showing items 1-14 of 14
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Parameter Estimation for Mathematical Models of Ion Transport in the Renal System
(2010-12)Nonlinear optimization approaches were used to compute rate constants for mathematical models of renal sodium-potassium-chloride and potassium-chloride transporters in cell membranes. The optimization consisted in minimizing ... -
Well-Posedness of Degenerate Integro-Differential Equations with Infinite Delay in Banach Spaces
(2015-12-09)We are concerned with a class of degenerate integro-differential equations of second order in time in Banach spaces. We characterize their well-posedness using operator valued Fourier multipliers. These equations are ... -
Análisis Bayesiano Comprensivo de Múltiples Pruebas Clínicas
Las pruebas diagnósticas que son utilizadas en la práctica clínica ayudan a determinar el estado de una enfermedad en el paciente. Conocer si estas pruebas son condicionalmente independientes o no, ayudaría a determinar ... -
Intrinsic Priors for Multivariate Normal Distribution
As MCMC (Markov Chain Monte Carlo) theory was set up, Bayes Theory could be employed in the application, because by using MCMC, it is possible for us to summarize the posterior distribution of the unknown parameter. In ... -
Insights on the Middle-Layer Graph Frame
Let k > 0 whenever n = 2k+1 for k E Z. While middle layer graphs such as M2,M3,...,Mk can be shortened to quotient graphs Mk/pi up to a fairly contracted frame, they can be shrunk even further so that they become into ... -
Spectral Graph Algorithms: Applications in Neural Images and Social Networks
Algorithms based on spectral graph theory have brought up powerful advances in the analysis of complex networks. We present spectral algorithms for data mining and image segmentation. The core of the algorithms is a recently ... -
Estimates for the Mixed Exponential Sum Associated to Polynomials Over F2m
In this thesis, we addressed the open problem of improving the bound for mixed exponential sum associated to polynomials over F2m (Theorem 3.0.2), for some polynomials of large degree i.e. (when compared to m). In order ... -
K-Circular Matroids of Graphs and Extensions of Whitney's Theory on Matroid Isomorphism of Graphs
In 30's Hassler Whitney developed a remarkable theory on graphs and their cycle matroids [30, 31, 32, 33]. Graphs G = (V;E;ɸ) and G' = (V';E';ɸ') are called strongly isomorphic if E = E' and there exists a bijection α: ... -
Modelización Estadística y Clasificación de las Fincas en la Producción de Leche Fresca en Puerto Rico
La industria lechera en Puerto Rico es la industria agropecuaria más importante del país. Entender mejor el comportamiento de la industria ayuda a facilitar el desarrollo continuo, eficiente y ordenado en las operaciones. ... -
Acoustic Detection of Species Using Matching Pursuit
Classification of bioacoustical data (audio) has become increasingly important during the last years, along with its many applications on the biology field. Traditionally, the biologists and field experts were in charge ... -
Classification of Splitting Interval Algebras and the C* Exponential Length
Let A = lim n→∞ (An,ɸn,m) be a C∗ algebra where An =⨁kn i=1 Ain , Ain are splitting interval algebras. Suppose that A has the ideal property: each closed two-sided ideal is generated by the projections inside the ideal, ... -
Modelos Lineales Dinámicos Para Las Series Cronológicas De La Temperatura Y El Nivel Del Mar En San Juan, Puerto Rico
El empleo de modelos lineales dinámicos (MLD) a los datos de la temperatura y el nivel del mar en San Juan, Puerto Rico no se había realizado hasta este momento. Algunos de los objetivos de este estudio son: poder predecir ... -
Modeling Infantile Asthma in Puerto Rico
In response to the high incidence of infantile asthma in Puerto Rico (PR), this study aimed to predict infantile asthma based on fungal spore, pollen, pollutant concentrations, and/or meteorological factors. A predictive ... -
Caracterización Estadística de Poblaciones Múltiples en Regiones de Formación Estelar
En el medio interestelar existen regiones densas compuestas en su mayoría de hidrógeno molecular llamadas nubes moleculares, dentro de estas nubes también hay regiones de mayor densidad llamadas clump. Los clumps evolucionan ...