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In this process, the aforementioned dimensions are extended and integrated in mathematical modeling framework.
A general mathematical modeling framework is developed which uses traditional chemical engineering metaphors to describe the complex hematopoietic dynamics.
The design of a pathway model requires three sets of input information: knowledge or assumptions regarding the pathway topology and regulation; choice of a suitable mathematical modeling framework; and data permitting parameter estimation.
This has been made possible because the mathematical modeling framework allows exploration of a minimal set of biological mechanisms at play and connects them to a higher level understanding.
The theory and methodology for spatial stochastic simulation is still undergoing extensive development, and no single mathematical modeling framework or method has emerged as a de facto standard.
We propose a mathematical modeling framework that captures many practical aspects of network design problems simultaneously but which have not received adequate attention in the literature.
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To circumvent these difficulties and to direct further experimental investigations, a mathematical modelling framework has been developed in this study based on the Krogh cylinder assumption.
The robotic fish model (kinematics and dynamics) is integrated with the Lighthill (LH) mathematical model framework.
The robotic fish model (kinematics and dynamics) is integrated with the LH mathematical model framework.
Consistent with expectations about the future, consistent with past evidence, consistent with the mathematical model framework or consistent in a rather abstract sense that there are no contradictions in the energy scenarios.
The effect size of an intervention can be derived within the mathematical modelling framework.
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