Mathematical model explores daily rhythms in pain sensitivity

A new computational model successfully predicts how daily pain sensitivity rhythms affect pain processing, both in healthy adults and in people with neuropathic pain. Jennifer Crodelle of New York University and colleagues ...

Spreading the load on fisheries through balanced harvesting

A more balanced approach to harvesting fish could slow down fisheries-induced evolution and result in other conservation benefits, according to collaborative research from UC's School of Mathematics and Statistics.

Equations help predict the behavior of water in rivers

River dikes are small dams made of earth that are used to hold in the water of the course of a river, without affecting the course too much. However, when the water exceeds a certain level due to flooding, the dike breaks, ...

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 ...

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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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