Neuroscience

Study shows link between brain age and stroke outcomes

A new study lead by a team of researchers at the Keck School of Medicine of USC shows that younger "brain age," a neuroimaging-based assessment of global brain health, is associated with better post-stroke outcomes. The findings ...

Psychology & Psychiatry

Study examines brain aging in people with schizophrenia

People suffering from schizophrenia can expect to die 15 years sooner than they ordinarily would. A new study has now found that this could be partly caused by advanced brain aging. The research findings were published in ...

Attention deficit disorders

Researchers identify brain markers of ADHD in children

Researchers analyzing the data from MRI exams on nearly 8,000 children have identified biomarkers of attention-deficit/hyperactivity disorder (ADHD) and a possible role for neuroimaging machine learning to help with the diagnosis, ...

Overweight & Obesity

Dig in: Sand serves up a possible cure for obesity

Engineered particles of purified sand could be the next anti-obesity therapy as new research from the University of South Australia shows that porous silica can prevent fats and carbohydrates from being adsorbed in the body.

Neuroscience

Neuroscientists find new factors behind better vision

The size of our primary visual cortex and the amount of brain tissue we have dedicated to processing visual information at certain locations of visual space can predict how well we can see, a team of neuroscientists has discovered. ...

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Surface area

Surface area is the measure of how much exposed area a solid object has, expressed in square units. Mathematical description of the surface area is considerably more involved then the definition of arc length of a curve. For polyhedra (objects with flat polygonal faces) the surface area is the sum of the areas of its faces. Smooth surfaces, such as a sphere, are assigned surface area using their representation as parametric surfaces. This definition of the surface area is based on methods of infinitesimal calculus and involves partial derivatives and double integration.

General definition of surface area was sought by Henri Lebesgue and Hermann Minkowski at the turn of the twentieth century. Their work led to the development of geometric measure theory which studies various notions of surface area for irregular objects of any dimension. An important example is the Minkowski content of a surface.

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