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Discovery of the Heart in Mathematics: Modeling the Chaotic Behaviors of Quantized Periods in the Mandelbrot Set

Golla et al. | Dec 14, 2020

Discovery of the Heart in Mathematics: Modeling the Chaotic Behaviors of Quantized Periods in the Mandelbrot Set

This study aimed to predict and explain chaotic behavior in the Mandelbrot Set, one of the world’s most popular models of fractals and exhibitors of Chaos Theory. The authors hypothesized that repeatedly iterating the Mandelbrot Set’s characteristic function would give rise to a more intricate layout of the fractal and elliptical models that predict and highlight “hotspots” of chaos through their overlaps. The positive and negative results from this study may provide a new perspective on fractals and their chaotic nature, helping to solve problems involving chaotic phenomena.

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The Feasibility of Mixed Reality Gaming as a Tool for Physical Therapy Following a Spinal Cord Injury

DeBre et al. | Apr 04, 2018

The Feasibility of Mixed Reality Gaming as a Tool for Physical Therapy Following a Spinal Cord Injury

Physical therapy, especially for patients with spinal cord injuries, can be a difficult and tedious experience. This can result in negative health outcomes, such as patients dropping out of physical therapy or developing additional health problems. In this study, the authors develop and test a potential solution to these challenges: a mixed reality game called Skyfarer that replaces a standard physical therapy regimen with an immersive experience that can be shared with their friends and family. The findings of this study suggest that mixed reality games such as Skyfarer could be effective alternatives to conventional physical therapy.

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Spectroscopic Kinetic Monitoring and Molecular Dynamics Simulations of Biocatalytic Ester Hydrolysis in Non-Aqueous Solvent

Chen et al. | Dec 20, 2020

Spectroscopic Kinetic Monitoring and Molecular Dynamics Simulations of Biocatalytic Ester Hydrolysis in Non-Aqueous Solvent

Lipases are a common class of enzymes that catalyze the breakdown of lipids. Here the authors characterize the the activity of pancreatic lipase in different organic solvents using a choloremetric assay, as well as using molecular dynamic simulations. They report that the activity of pancreatic lipase in 5% methanol is more than 25% higher than in water, despite enzyme stability being comparable in both solvents. This suggests that, for industrial applications, using pancreatic lipase in 5% methanol solution might increase yield, compared to just water.

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