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The mathematical model consists of treating stagnant molecular diffusion from a multiple particle system.
It accounts for advection along the fracture, molecular diffusion from the fracture to the rock matrix composed of several geological layers, adsorption on the fracture surface, adsorption in the rock matrix layers and radioactive decay-chains.
The drug release from porous materials is based on molecular diffusion from the pores, and it is mainly governed by the pore dimensions [12].
In addition, the decrease in particle size in the bolus leads to nutritional advantages, which have been demonstrated in vitro and in vivo, with smaller particle size allowing faster macronutrient hydrolysis and better molecular diffusion from the food to the lumen, both resulting in better nutrient uptake.
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Molecular diffusion results from a random, microscopic translational motion of water molecules and the water mobility as restricted by cell membranes (barriers).
DW-MRI is a functional MRI technique that measures molecular diffusion resulting from normal Brownian motion of water protons within biological tissues [ 14].
Extraction of molecular diffusion information from the photon counting distribution is possible by analyzing higher moments of the distribution with arbitrary bin widths and long integration times [ 37].
In the temperature range 500 900 °C, three impedance arcs related to O2 molecular diffusion were distinguished from the EIS measurements.
The importance of molecular diffusion in producing from nanoscale pores of shale formations was examined in our previous studies (Wan and Sheng 2015; Wan et al. 2015).
We also show how molecular diffusion trajectories obtained from single-molecule tracking experiments can be used to test for the presence of directed transport.
These structures join uncalcified hyaline cartilage to marrow spaces and could provide a molecular diffusion pathway (potentially from synovium/joint space to marrow and vice versa), which may have a nutritional and metabolic role.
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