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This is the well mixed limit of the spatial model.
T reg was defined as the point at which the sliding window concentration of any one region reached 90% of ϕ 2. We will now demonstrate that the well mixed limit of the lattice model corresponds to the generic replicator model in Equation 5.
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The model can treat the full range of stratification from the fully-mixed limit to perfect stratification and we are therefore able to determine the effect of stratification on the thermodynamic optimum.
For large h, the mean field solution is close to the well-mixed limit, as expected.
However, if h is sufficiently large, the system reaches a well-mixed limit where molecules are randomly positioned over the whole lattice and there is no remaining correlation between sites.
If both N and L are large and h is large enough to be in the well-mixed limit, where molecules are randomly distributed between lattice sites, P n has a binomial distribution: (9) P n = ϕ n 1 − ϕ 3 − n 3 ! n ! 3 − n !
In the Methods section, we show that when h is very large, both global and local hopping models reach the same well-mixed limit, which corresponds to the generic replicator model in Equation 5. Simulations are initiated in the dead state and followed until a transition to the living state occurs.
The presence of natural convection also leads to various, more complex behaviors than are seen in the diffusive or well-mixed limits.
The patients were classified into subgroups based on the primary limitation seen on exercise testing, such as ventilator limited, cardiovascular limited, mixed ventilatory/cardiovascular limited, and noncardiopulmonary-limited.
Within the possibilities of the time, Locke thus advocated a constitutional mixed government, limited by parliamentary control of the armed forces and of supply.
However, research regarding CBM-I's impact on symptom reduction and behavior is mixed, which limits its clinical application.
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CEO of Professional Science Editing for Scientists @ prosciediting.com