# mathematical model

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## math·e·mat·i·cal mod·el

representation of a system, process, or relationship in mathematical form, using equations to simulate the behavior of the system or process under study.

## mathematical model

Epidemiology
A formal framework for conveying ideas about the components of a host-parasite interaction. Construction of an MM requires three major components: a clear understanding of the interaction between the pathogen and the host; information about the mode and rate of transmission between individuals; and host population characteristics, such as demographics and behaviour. MMs can be used to analyse the system’s behaviour under various conditions, and identify the dominant factors generating observed patterns and phenomena. MMs also aid data collection and interpretation and parameter estimation; they provide tools for identifying approaches to control, and for assessing the potential impact of different intervention measures.

A collection of mathematical formulas used to characterise a relationship or process, e.g., in environmental dose reconstruction projects to simulate travel of radionuclides released from weapons facilities through the environment and taken up by the body, which can be used to estimate the health risks caused by said exposures.
References in periodicals archive ?
Mathematical modeling has become a key component of many countries' mathematics curricula at all levels.
Zhang says high school students should be introduced to a mathematical modeling curriculum during pre-calculus or more advanced classes, and after they learn more complex equations.
In the process of mathematical modeling, the games are idealized through removal of their physical components unessential for the modeling purposes, and reduced to pure mathematical structures.
"Some vehicle damage photos look very dramatic, but mathematical modeling of the key variables associated with injury may reveal that the potential for injury was very small.
(5) Mathematical modeling of the cure of EPDM rubbers and their resistance to liquids.
Another important mathematical modeling problem in physical metrology is fitting a system of ordinary differential equations (ODEs) to a set of observed time series data which are corrupted by measurement errors.
Security Plastics, which operates 78 presses with multiple cavities per mold, has saved significantly in inspection costs by implementing mathematical modeling, according to CIM project engineer Michael Bentz.
This resource for advanced students and researchers combines theory, simple and more complex examples, and experimental approaches to examine the mechanical, physical, and mathematical modeling approaches involved in the field of tethered space systems (TSS).
His primary research interests are mathematical modeling and analysis in manufacturing, medicine, and biology.
Crashport has introduced a new crash analysis service to the property and casualty industry based on mathematical modeling similar to that used in the automotive industry to assess vehicle crash performance and test vehicle safety features.
For now, mathematical modeling may be the best way to gain insight into the duration of immune memory, says Derek Smith, a computational biologist at the University of Cambridge in England.
The relational database uses mathematical modeling to calculate an exposure opportunity index for a military unit or a location on any date during the war.

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