Researchers discover a trigger for directed cell motion

When an individual cell is placed on a level surface, it does not keep still, but starts moving. This phenomenon was observed by the British cell biologist Michael Abercrombie as long ago as 1967. Since then, researchers ...

Using 60% less water in paper production

An EPFL researcher has developed a mathematical model for optimizing heat transfer in factories and dramatically reducing water and energy consumption. The model could, in theory, cut water use by 60 percent at a Canadian ...

Life in the ice in a warmer Arctic

Recent research by an international team, involving the University of Cape Town (UCT), investigated how a future, warmer Arctic could impact the algae that live in sea ice—and form the base of the marine food web there. ...

The superheroes of nutrient detection living in our oceans

By and large, marine bacteria have a fairly simple existence – eat, divide, repeat. But the first step isn't always straightforward. There are lots of nutrients in the ocean, but there's no Uber Eats for microscopic organisms. ...

Mathematical model

A mathematical model uses mathematical language to describe a system. Mathematical models are used not only in the natural sciences and engineering disciplines (such as physics, biology, earth science, meteorology, and engineering) but also in the social sciences (such as economics, psychology, sociology and political science); physicists, engineers, computer scientists, and economists use mathematical models most extensively. The process of developing a mathematical model is termed 'mathematical modelling' (also modeling).

Eykhoff (1974) defined a mathematical model as 'a representation of the essential aspects of an existing system (or a system to be constructed) which presents knowledge of that system in usable form'.

Mathematical models can take many forms, including but not limited to dynamical systems, statistical models, differential equations, or game theoretic models. These and other types of models can overlap, with a given model involving a variety of abstract structures.

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