Spiraling filaments feed young galaxies

Galaxies grow by accumulating gas from their surroundings and converting it to stars, but the details of this process have remained murky. New observations, made using the Keck Cosmic Web Imager (KCWI) at the W. M. Keck Observatory ...

Researchers gain control over soft-molecule synthesis

By gaining control over shape, size and composition during synthetic molecule assembly, researchers can begin to probe how these factors influence the function of soft materials. Finding these answers could help advance virology, ...

A mathematical view on cell packing

A key challenge in the embryonic development of complex life forms is the correct specification of cell positions so that organs and limbs grow in the right places. To understand how cells arrange themselves at the earliest ...

A mathematical model to explain the paradox of plankton

A pair of researchers, one with The Simons Centre for the Study of Living Machines in India, the other with the University of Illinois in the U.S., has built a model to explain a paradox of plankton. In their paper published ...

By river, ocean, or wind, rocks round the same way

The milky, smooth texture of beach glass evokes a history of turbulent transport, rough edges abraded away to produce curves. The same smooth features can be seen in river rocks and dune sands.

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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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