In this paper, we emphasize a further connection with well-known aggregate biological growth models over time and the related diffusion of innovation key paradigms (e.g., logistic and Bass distributions over time) that determine self-sustaining evolutionary growth dynamics in naturalistic and socio-economic contexts.
We rigorously establish the convergence of the numerical method to the related diffusion on graph, identifying the appropriate choice of discretization parameters.
The increased mitotic activity, necrosis, the high nucleus-to-cytoplasm ratio as well as the uninterrupted patternless cell growth present in high-grade meningiomas [ 77], leads to restricted water diffusion, which is reflected in the related diffusion parameters.
With diffusion-weighted imaging (DWI) and a related approach called diffusion tensor imaging, differences in motility of water due to differences in cellularity, cell membrane permeability, intra- and extracellular diffusion, and tissue structure can be visualized.
Specifically, a key finding is that low interest-related diffusion can be aided by utilizing proper optimal controls.
It is worth noting that the AHE and ACPGE measurements used in this study are conducted under ambient conditions with a simple setup and operation, which provides a good method for the study of spin-related diffusion and drift.
The DWI imaging was calculated by at two-segment monoexponential algorithm as shown in IVIM equation (1), where D and D∗ are the diffusion parameters related to molecular diffusion and to the perfusion-related diffusion, respectively, S/ S0 is the normalized signal attenuation, and f is the perfusion fraction.
Another study showed a significant decrease of both pure molecular diffusion coefficient (Dslow) and perfusion-related diffusion coefficient (Dfast) in the advanced fibrosis group compared to nonadvanced fibrosis group (P < 0.05 and P < 0.01, resp).
One of the fundamental issues on semiconductor spintronics is the spin transport and its manipulation, including spin-related diffusion and drift.
to evaluate novel methods of histogram analysis in the primary tumour and to assess treatment-related diffusion and/or perfusion alterations in the imaged metastases.
We compared pure molecular diffusion (D), perfusion-related diffusion (D*), perfusion fraction (f) and apparent diffusion coefficient (ADC) based on intravoxel incoherent motion (IVIM) theory in patients with nasopharyngeal carcinoma (NPC).
