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Reaction–diffusion system. A simulation of two virtual chemicals reacting and diffusing on a Torus using the Gray–Scott model. Reaction–diffusion systems are mathematical models that correspond to several physical phenomena. The most common is the change in space and time of the concentration of one or more chemical substances: local ...
This approach is known as mathematical modeling and the above-mentioned physical parameters are called the model parameters or simply the model. To be precise, we introduce the notion of state of the physical system : it is the solution of the mathematical model's equation.
Curve fitting[1][2] is the process of constructing a curve, or mathematical function, that has the best fit to a series of data points, [3] possibly subject to constraints. [4][5] Curve fitting can involve either interpolation, [6][7] where an exact fit to the data is required, or smoothing, [8][9] in which a "smooth" function is constructed ...
A molecular model is a physical model of an atomistic system that represents molecules and their processes. They play an important role in understanding chemistry and generating and testing hypotheses. The creation of mathematical models of molecular properties and behavior is referred to as molecular modeling, and their graphical depiction is ...
The use of mathematical models to solve problems in business or military operations is a large part of the field of operations research. Mathematical models are also used in music, [3] linguistics, [4] and philosophy (for example, intensively in analytic philosophy). A model may help to explain a system and to study the effects of different ...
Multiscale modeling or multiscale mathematics is the field of solving problems that have important features at multiple scales of time and/or space. Important problems include multiscale modeling of fluids, [1][2][3] solids, [2][4] polymers, [5][6] proteins, [7][8][9][10] nucleic acids [11] as well as various physical and chemical phenomena ...