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The penalty-based finite element formulation is found to be effective when applied to this class of dynamics problems.
Using a gray-box modeling approach, and by exploiting the one-way coupling between the fluid dynamics and thermal dynamics, we derive individual linearized models for each class of dynamics.
Seen from a complex systems point of view, the ongoing battle between pathogens and the immune systems of their hosts suggests a new class of dynamics, where "new" replaces "old" irreversibly.
This is important, since several human autoimmune diseases are documented to have a cyclic behavior, although this is not the only class of dynamics observed for autoimmunity (e.g. type 1 diabetes).
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In conclusion, we demonstrate for the first time that two major classes of dynamics of biomarkers can be described during long-term diet interventions.
We start from a known continuous formulation of the maximum clique, and tackle the search for local solutions with replicator dynamics, a class of dynamical systems developed in various branches of mathematical biology.
Different from conventional gradient-based neural dynamics, a special class of neural dynamics have been proposed by Zhang et al. since 12 March 2001 for online solution of time-varying and static (or termed, time-invariant) problems (e.g., nonlinear equations).
In fact, the compound synchronization is capable to capture a wide class of memristor dynamics.
The algorithms, inspired by a class of evolutionary dynamics that emerge in the context of population games, generate on-line Shahshahani gradient-like systems able to achieve extremum seeking under simplex-like constraints on the positive orthant.
When striatal dopamine level is set to a higher level, the class of cortical dynamics is determined by selection in the basal ganglia so that the correct read-out signals are produced.
With respect to gene expression, we consider a model with delayed stochastic dynamics, a class of systems whose dynamics includes both Markovian and non-Markovian events, and we identify a number of relevant and sophisticated measures.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com