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Dynamic reliability methods are powerful mathematical frameworks capable of handling interactions among components and process variables explicitly.
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Hence, a new mathematical framework capable of handling both continuous and discrete aspects of hybrid systems is needed.
A quantitative understanding of cancer biology requires the development of a mathematical framework capable of describing the fundamental principles governing tumour initiation and progression (Moolgavkar and Knudson, 1981; Knudson, 2001).
A key feature of mathematical frameworks likely to be of most use is that they be capable of synthesizing multiple processes (various types of species interactions, system productivity, disturbance and stress).
Different mathematical frameworks have been proposed to derive such models.
According to Tait, questions of existence of mathematical entities can only be sensibly asked and reasonably answered from within (axiomatic) mathematical frameworks.
As scientists, we put physical processes into mathematical frameworks, or into an equation.
Computational models rely on mathematical frameworks to describe the structures and behaviors of systems.
Although their mathematical frameworks are similar, different software packages are better suited for the two goals.
SBML supports process-based mathematical frameworks with a reaction-centred description of biochemical processes.
Our results provide new experimental and mathematical frameworks for studying group behavior and social interactions.
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CEO of Professional Science Editing for Scientists @ prosciediting.com