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What is Mathematical Modelling

Handbook of Research on Computational Grid Technologies for Life Sciences, Biomedicine, and Healthcare
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 and expressed using a Mathematical language. Mathematical models can take many forms, including but not limited to dynamical systems, statistical models, differential equations, or game theoretic models.
Published in Chapter:
Grid Technologies in Epidemiology
Ignacio Blanquer (Universidad Politecnica de Valencia, Spain) and Vicente Hernandez (Universidad Politecnica de Valencia, Spain)
DOI: 10.4018/978-1-60566-374-6.ch022
Abstract
Epidemiology constitutes one relevant use case for the adoption of grids for health. It combines challenges that have been traditionally addressed by grid technologies, such as managing large amounts of distributed and heterogeneous data, large scale computing and the need for integration and collaboration tools, but introduces new challenges traditionally addressed from the e-health area. The application of grid technologies to epidemiology has been concentrated in the federation of distributed repositories of data, the evaluation of computationally intensive statistical epidemiological models and the management of authorisation mechanism in virtual organisations. However, epidemiology presents important additional constraints that are not solved and harness the take-off of grid technologies. The most important problems are on the semantic integration of data, the effective management of security and privacy, the lack of exploitation models for the use of infrastructures, the instability of Quality of Service and the seamless integration of the technology on the epidemiology environment. This chapter presents an analysis of how these issues are being considered in state-of-the-art research.
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Computational Thinking and Mathematics: Possible Relationships Revealed by an Analysis of National Curriculum Guidelines
A didactic strategy based on the construction of mathematical models by students. The models are deduced from real or simulated situations that are related to concrete experiences of the students. Apart from exploring a specific topic, Mathematical Modeling aims a better comprehension of reality through the language of Mathematics ( Bassanezi, 1994 ).
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Using Modeling and Simulation to Learn Mathematics
The relationship between Mathematics and the “reality”. Since a specific point of view, a didactical strategy to teach and learn maths showing at the student the application of this Science in their daily life.
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