This thesis contains three manuscripts addressing the application of stochastic processes to the analysis and solution of partial differential equations (PDEs) in mathematical physics.
In the first manuscript, one dimensional diffusion and Burgers equation are considered. The Fourier transform of the solution to each PDE is represented as the expected...
This article concerns a systemic manifestation of small scale interfacial heterogeneities in large scale quantities of interest to a variety of diverse applications spanning the earth, biological and ecological sciences. Beginning with formulations in terms of partial differential equations governing the conservative, advective-dispersive transport of mass concentrations in divergence form,...
We propose a time dependent Eulerian model for sea surface entrainment, buoyancy transport and droplet dynamics of ocean oil. The model captures the microscale vertical oil mass exchanges in the neighborhood of the sea surface. This model is in turn part of an oil fate model designed to capture oil...
Social and personal identities were examined for
samples of college graduate students in three culturally
different groups: Anglo-American, Mexican-American, and
Mexican National. Four identities were explored in terms
of salience, frequency, and valence: religious, family,
gender, and peer. No differences were found between the
groups on religious and gender identities....
High pressure processing (HPP) has become the most widely accepted nonthermal food preservation technology. The pressure range for commercial processes is typically around 100-600 MPa, whereas moderate temperature (up to 65°C) may be used to increase microbial and enzymatic inactivation levels. However, these industrial processing conditions are insufficient to achieve...
The frozen storage of Atlantic mackerel (Scomber scombrus) is limited by lipid damage causing sensory quality losses, an important drawback to its commercialisation. This work deals with changes in functional and sensory properties during freezing and frozen storage of Atlantic mackerel pre-treated by high hydrostatic pressure processing (HPP). Three levels...
Frozen storage of horse mackerel (Trachurus trachurus) is limited by lipid damage causing sensory quality losses. This work deals with changes in functional and sensory properties during frozen storage of horse mackerel treated by high hydrostatic pressure processing (HPP) prior to freezing. Three levels of pressure (150, 300, and 450...
This work sought to determine high pressure processing (HPP) effects on the activity of cathepsins B and D in the muscle of mackerel (Scomber scombrus) and horse mackerel (Trachurus trachurus). In mackerel, the cathepsin B activity decrease reached 40% at 450 MPa while in horse mackerel, low and intermediate pressures...
This work focused on assessing lipid damage during the storage of frozen Atlantic mackerel (Scomber scombrus) subjected to a high hydrostatic pressure (HHP) treatment (150, 300, 450 MPa with holding times of 0.0, 2.5, and 5.0 min) prior to freezing. The extent of lipid hydrolysis (free fatty acids) and oxidation...
The effect of high pressure processing (HPP) pre-treatments at three pressure levels (150, 300 and 450 MPa) and holding times (0, 2.5 and 5 min) on the activity of key enzymes in Atlantic mackerel (Scomber scombrus) muscle was studied after HPP treatments and during frozen storage. Acid phosphatase, cathepsins (B...