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Chapter and Conference Paper
Modelling Spotify Users by a Hybrid Generalized Logistic Model with Uncertainty: A Random Computational Approach
We propose a new mathematical model, based on a differential equation, to describe the dynamics in the number of Spotify users. The model takes into account that the adoption of new technologies is determined ...
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Chapter and Conference Paper
A Probabilistic Fitting Technique to Calibrate a Logistic Model to Study the Growth of Breast Tumors
Breast cancer is one of the most common cancers globally, affecting mainly women. To determine the stage of breast cancer, one of the “key pieces of information” is the size of the tumor and if it has grown in...
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Chapter and Conference Paper
A Full Probabilistic Solution for a Hybrid Randomized Linear-Quadratic Logistic-Type Model
In this contribution we perform a full probabilistic solution of a random generalized logistic initial value problem whose parameters involve both continuous and discrete uncertainties. To do it, the first pro...
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Article
Probabilistic analysis of a foundational class of generalized second-order linear differential equations in classic mechanics
A number of relevant models in Classical Mechanics are formulated by means of the differential equation \(y''(t)+At^{\beta }y(t)=0\) ...
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Chapter
Analysing Differential Equations with Uncertainties via the Liouville-Gibbs Theorem: Theory and Applications
In this contribution, we revisit the Liouville-Gibbs theorem for dynamical systems. This theorem states that a partial differential equation that is satisfied by the probability density function of the solutio...
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Article
A Mean Square Chain Rule and its Application in Solving the Random Chebyshev Differential Equation
In this paper a new version of the chain rule for calculating the mean square derivative of a second-order stochastic process is proven. This random operational calculus rule is applied to construct a rigorous...
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Article
Long-term follow-up of tension-free Lichtenstein hernioplasty: application of a qualitative-and-quantitative measurement instrument
Real outcomes for the inguinal tension-free Lichtenstein hernioplasty are not reflected by the usual parameters by which they are measured and habitually reported. It is possible to measure these outcomes fro...
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Article
Measurement of cross sections and leptonic forward-backward asymmetries at theZ pole and determination of electroweak parameters
We report on the measurement of the leptonic and hadronic cross sections and leptonic forward-backward asymmetries at theZ peak with the L3 detector at LEP. The total luminosity of 40.8 pb−1 collected in the year...
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Article
Effect of lipid content of diet on cholesterol content and cholesterogenic enzymes of European eel liver
The effect of dietary lipid levels on the levels of cholesterol and the activities of the major cholesterogenic enzymes of the liver has been studied in the European eel. An increase in hepatic total cholester...
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Article
The oxygen consuming systems of the liver of mice exposed to simulated high altitude
Altitude hypoxia does not induce any changes in the enzymatic systems related to oxygen consumption in guinea pigs native of the Peruvian high altitudes. The biochemical changes frequently found in high altitu...
