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Modeling and simulation (M&S) is the use of models (e.g., physical, mathematical, behavioral, or logical representation of a system, entity, phenomenon, or process) as a basis for simulations to develop data utilized for managerial or technical decision making. [1] [2]
The process of developing a mathematical model is termed mathematical modeling. Mathematical models are used in applied mathematics and in the natural sciences (such as physics, biology, earth science, chemistry) and engineering disciplines (such as computer science, electrical engineering), as well as in non-physical systems such as the social ...
The justification of such a mathematical construct is solely and precisely that it is expected to work—that is, correctly to describe phenomena from a reasonably wide area. There is also an increasing attention to scientific modelling [4] in fields such as science education, [5] philosophy of science, systems theory, and knowledge visualization.
Multiscale modeling or multiscale mathematics is the field of solving problems that have important features at ... [1] [2] [3] solids, [2] [4] ... Chapter 1, Section 1.3.
A multi-compartment model is a type of mathematical model used for describing the way materials or energies are transmitted among the compartments of a system. Sometimes, the physical system that we try to model in equations is too complex, so it is much easier to discretize the problem and reduce the number of parameters.
Other examples include a 1-billion-atom model of material deformation; [3] a 2.64-million-atom model of the complex protein-producing organelle of all living organisms, the ribosome, in 2005; [4] a complete simulation of the life cycle of Mycoplasma genitalium in 2012; and the Blue Brain project at EPFL (Switzerland), begun in May 2005 to ...
[3] [4] Mathematical biology aims at the mathematical representation and modeling of biological processes, using techniques and tools of applied mathematics. It can be useful in both theoretical and practical research. Describing systems in a quantitative manner means their behavior can be better simulated, and hence properties can be predicted ...
A structural diagram of the open ocean plankton ecosystem model of Fasham, Ducklow & McKelvie (1990). [1]An ecosystem model is an abstract, usually mathematical, representation of an ecological system (ranging in scale from an individual population, to an ecological community, or even an entire biome), which is studied to better understand the real system.