scholarly journals DIF3D nodal neutronics option for two- and three-dimensional diffusion theory calculations in hexagonal geometry. [LMFBR]

1983 ◽  
Author(s):  
R.D. Lawrence
Keyword(s):  
Diffusion Theory ◽  
Three Dimensional ◽  
Dimensional Diffusion

scholarly journals 3DB: A Three-Dimensional Diffusion Theory Burnup Code

1970 ◽  
Vol 40 (2) ◽  
pp. 349-349
Author(s):  
R. W. Hardie ◽  
W. W. Little
Keyword(s):  
Diffusion Theory ◽  
Three Dimensional ◽  
Dimensional Diffusion

scholarly journals A noninvasive fluorescence imaging-based platform measures 3D anisotropic extracellular diffusion

2021 ◽  
Vol 12 (1) ◽  
Author(s):  
Peng Chen ◽  
Xun Chen ◽  
R. Glenn Hepfer ◽  
Brooke J. Damon ◽  
Changcheng Shi ◽  
...  
Keyword(s):  
Anisotropic Diffusion ◽  
Biological Systems ◽  
Three Dimensional ◽  
Molecular Transport ◽  
Light Sheet ◽  
Fundamental Limitations ◽  
Disease Mechanisms ◽  
Dimensional Diffusion ◽  
Compositional Changes ◽  
Diffusion Tensors

AbstractDiffusion is a major molecular transport mechanism in biological systems. Quantifying direction-dependent (i.e., anisotropic) diffusion is vitally important to depicting how the three-dimensional (3D) tissue structure and composition affect the biochemical environment, and thus define tissue functions. However, a tool for noninvasively measuring the 3D anisotropic extracellular diffusion of biorelevant molecules is not yet available. Here, we present light-sheet imaging-based Fourier transform fluorescence recovery after photobleaching (LiFT-FRAP), which noninvasively determines 3D diffusion tensors of various biomolecules with diffusivities up to 51 µm2 s−1, reaching the physiological diffusivity range in most biological systems. Using cornea as an example, LiFT-FRAP reveals fundamental limitations of current invasive two-dimensional diffusion measurements, which have drawn controversial conclusions on extracellular diffusion in healthy and clinically treated tissues. Moreover, LiFT-FRAP demonstrates that tissue structural or compositional changes caused by diseases or scaffold fabrication yield direction-dependent diffusion changes. These results demonstrate LiFT-FRAP as a powerful platform technology for studying disease mechanisms, advancing clinical outcomes, and improving tissue engineering.

Tidal three-dimensional diffusion in a model of the Lagoon of Venice and reliability conditions for its numerical integration

1987 ◽  
Vol 37 (1-2) ◽  
pp. 81-101 ◽  
Author(s):  
Camillo Dejak ◽  
Ileana Mazzei Lalatta ◽  
Marina Molin ◽  
Giovanni Pecenik
Keyword(s):  
Numerical Integration ◽  
Three Dimensional ◽  
Lagoon Of Venice ◽  
Dimensional Diffusion

Multifractal spectrum of off-lattice three-dimensional diffusion-limited aggregation

1992 ◽  
Vol 46 (6) ◽  
pp. R3016-R3019 ◽  
Author(s):  
Stefan Schwarzer ◽  
Marek Wolf ◽  
Shlomo Havlin ◽  
Paul Meakin ◽  
H. Eugene Stanley
Keyword(s):  
Three Dimensional ◽  
Multifractal Spectrum ◽  
Diffusion Limited Aggregation ◽  
Diffusion Limited ◽  
Dimensional Diffusion
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