In these cases, spheres developed but stopped dividing after 2 to 5 months of culture, and disappeared suggesting limited auto-renewal capabilities (Table 1).
In this case, sphere S1 had been removed from the analysis because, due to its small volume (1 ml), it could not be distinguished from the background.
In these cases the sphere usually made contact with the inner loukoumasomal border (Fig. 6A).
In first case, the sphere function as a challenging optimization problem is investigated and it is demonstrated that the GSA has reliable fitness values (3.7602e-17).
The context of Toeplitz structures allows us to generalize all the previous cases (torus, spheres and Zoll manifolds) and to deal with new linearities involving Szegö projectors.
In this case, each sphere is surrounded by a gas liquid mixture, which has a lower homogeneous density, thus increasing the particle terminal velocity, which in turn affects positively the mass transfer coefficients.
In the case of sphere beds, it clearly appears that the applicability range of the model depends on porosity, as has been commonly stated, but also on the Reynolds number for the non-linear laminar flow regime.
In this case the sphere would have 2 LTP cells.
For the case of sphere shape, 0.43 ≤ n corresponds to Fickian diffusion mechanism, 0.43 < n < 0.85 to anomalous (non-Fickian) transport, n = 0.85 to Case II (relaxation) transport, and n > 0.85 to super Case II transport (Siepmann and Peppas, 2001).
In some cases, these sphere-derived CD44v3highALDH1high 4T1 cells were also treated with DT compounds for 5 days or doxorubicin (range 1 μM to 1 mM) for 5 days at 37 °C.
