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Mathematical framework: How a wrinkle becomes a crease

By Guest PostAugust 22, 2014Healthb all tumorerkrankung, become, brain injuries, brown university, circuits, elusive gravitational effect, how, kyung suk kim, mathematical framework, mathematical model, mazen diab, solid state physics, substrate, tumorsuppressor, wrinkle

Kyung-Suk Kim and Mazen Diab have worked out the mathematics of how wrinkles form in solid materials under compression — and how, under more compression, those wrinkles can become creases. The mathematics of wrinkles and creases could help in the design of flexible electronic circuits, artificial skin, and soft robotic grips and may help explain brain injuries due to compression.

PROVIDENCE, R.I. [Brown University] — Wrinkles, creases and folds are everywhere in nature, from the surface of human skin to the buckled crust of the Earth. They can also be useful structures for engineers. Wrinkles in thin films, for example, can help make durable circuit boards for flexible electronics. (more…)

Love or kill thy neighbour? New study into animal social behaviour

By Guest PostMarch 11, 2014Naturealtruism, animal social behavior, bacteria in biofilms, cornwall, evolution, evolution of spite, florence debarre, kill thy neighbor, love, mathematical framework, penryn campus, social behavior, university of exeter

A theoretical study led by the University of Exeter has shed new light on the conditions that lead to the evolution of spite or altruism in structured populations.

Understanding the way in which social behaviours such as altruism – when animals benefit others at their own expense – develop is a long-standing problem that has generated thousands of articles and heated debates.

Dr Florence Débarre of Biosciences at the University of Exeter led a study, published in Nature Communications, which presents a comprehensive framework that applies to a large class of population structures and identifies the crucial elements which support the evolution of social behaviour. (more…)

Reconcilable Differences: Study Uncovers the Common Ground of Scientific Opposites

By Guest PostFebruary 1, 2013Science20th century, activity, austrian physicist, chaotic motion, classical, common ground, denys bondar, english scientist, experimental data, herschel rabitz, imperial college London, isaac newton, laws of motion, mathematical framework, mathematical model, microscopic particles, misha ivanov, novel theories, observed data, odds physics equations, operational dynamic modeling, paul ehrenfest, princeton model, princeton university, quantum elements, quantum mechanics, reconcilable differences, renan cabrera, robert gilmore, scientific laws, scientific opposites, shakespearean sounding crossroads, study, theoretical roof, theories, ukraine, uzhgorod national university

Searching for common elements in seemingly incompatible scientific theories may lead to the discovery of new ones that revolutionize our understanding of the world.

Such is the idea behind a mathematical framework Princeton University researchers developed that strips away the differences between scientific laws and theories to reveal how the ideas are compatible. In a recent report in the journal Physical Review Letters, the authors explain how the mathematical model finds common ground between the famously at-odds physics equations that govern classical and quantum mechanics. (more…)

How Tattoos ‘Move’ With Age

By Guest PostJune 6, 2011Culture, Sciencecadmium, dyes, fibroblast cells, fluid mechanics, ian eames, initial immune response, ink particles, iron, lead, lymphatic system, mathematical framework, mathematical model, mathematics today, mercury, nickel, skin, surface of the skin, suspension of particles, tattoos, white blood cells, zinc

The dyes which are injected into the skin to create tattoos move with time – permanently altering the look of a given design. In this month’s Mathematics Today Dr Ian Eames, a Reader in Fluid Mechanics at UCL, publishes a mathematical model enabling us to estimate the movement of these ink particles and predict how specific tattoo designs will look several years in the future.

“Tattoos are incredibly popular worldwide with more than a third of 18-25 year olds in the USA sporting at least one design,” says Dr Eames. “A great deal of work has already been done on the short term fate of ink particles in the skin, tracking them over periods of just a few months – but much less is known about how these particles move over longer periods of time. (more…)

Tag Archives: mathematical framework

Mathematical framework: How a wrinkle becomes a crease

Love or kill thy neighbour? New study into animal social behaviour

Reconcilable Differences: Study Uncovers the Common Ground of Scientific Opposites

How Tattoos ‘Move’ With Age