Nonetheless, while these two mathematically similar models reflect the development of different MRI metrics, comparison of the Gompertz parameters from these separate but complementary models may be interesting to examine the relationships between DT-MRI and MCR metrics in neurodevelopment.
A recent theoretical study potentially unifies these divergent perspectives (Haefner et al., 2013), demonstrating mathematically that CPs could reflect both the structure of correlated noise and selective decoding of neurons.
Mathematically, this is reflected in the global transformation between the external inputs and the network states.
In the first case, it means expansion of the area where the oil is filtered with a minimum viscosity; in the second case, it means reduction of the critical pressure gradients, which is proved experimentally and reflected mathematically in the correlation dependences.
While mathematically not necessary, this reflects the property of a typical neural model where (g=0) is given as a graph of a sigmoidal function over v.
We assume the modeled sprout is one of several sprouts separated by 100 µm (which is mathematically represented by a reflecting boundary at r = 50 µm) simultaneously migrating towards a distant VEGF source (e.g. tumor) (see Methods, Geometrical and Transport Parameters).
Students could later reflect on their own emergent manipulation strategies, discern motion patterns, and then model these patterns mathematically.
The mathematically sophisticated method used by Wijk and colleagues 22 is time consuming, and the hard segmented air-tissue interface cannot reflect the partial volume effect (PVE).
Only when Dr Dunstan mathematically factored in the idea that some snails were garden residents while others were visitors, and the notion that some kind of homing instinct was at work, did his computer models start to reflect reality.
Therefore, a mathematically derived shape factor which reflects the gravity drainage behavior into an exchange term using shape factor concept is essential.
