In this situation, other key parameters, such as the haptotaxis coefficient χ(x) and the migrating cell diffusion coefficient D M x), are chosen from intervals of varying width.
Since the hypoxic phenotype is more migratory than the normoxic one (Berens and Giese 1999; Giese et al. 2003; Bristow and Hill 2008; Gorin et al. 2004), hypoxic cell diffusion coefficient D h is larger than the normoxic one D n.
In these experiments, the natural gas cannot diffuse to reach the bottom of the PVT cell because diffusion coefficients of gas are sufficiently low and the experimental time is relatively short.
These were of similar magnitude, but not identical, to those that had been reported for the fluorescent A3AR agonist ABEA-X-BY630 in the same cell line (diffusion coefficients of 2.7 and 0.12 μm/s; ref. 14).
Numerical schemes for nonlinear parabolic equations based on the harmonic averaging of cell-centered diffusion coefficients break down when some of these coefficients go to zero or their ratio grows.
The comparison to the measured values shows that a quantitative interpretation of the limiting current measurements depends on the ability to obtain sufficiently exact information about cell geometry, diffusion coefficient and inlet concentration.
(d_{1},d_{2} > 0) are the cell and chemical diffusion coefficients, respectively.
First of all, we observe that we can distinguish the monomer, dimer and trimer populations from each other in every cell line; the diffusion coefficients of the trimer and the tetramer however do not differ significantly.
Without differentiating between cell lines, the diffusion coefficients show a distribution between 87 and 20 µm2 s−1 (50.6 µm2 s−1 average) for the EGFP-monomer, between 58 and 14.5 µm2 s−1 (31 µm2 s−1 average) for the dimer, between 44 and 9 µm2 s−1 (23.8 µm2 s−1 average) for the trimer and between 42 and 8 µm2 s−1 (20.2 µm2 s−1 average) for the tetramer (data not shown).
The simulations consider cell walls, multiple cell files and auxin diffusion in the cells and within the cell wall, using realistic diffusion coefficients and decay rates.
