[HTML][HTML] Efficient computation of the steady-state and time-domain solutions of the photon diffusion equation in layered turbid media
M Helton, S Zerafa, K Vishwanath, MA Mycek - Scientific Reports, 2022 - nature.com
… to solutions of the diffusion equation in a semi-infinite medium 13 and to Eqs. (2) and (3) when
solved for a 2 and 8 layered medium with the … and functional imaging applications. These …
solved for a 2 and 8 layered medium with the … and functional imaging applications. These …
Analytical modeling of Li-ion diffusion in a three-layer electrode-separator-electrode stack with time-dependent current
… diffusion under solution-phase limitation in a three-layer … diffusion problems for applications
such as porous media [30] … method to compute concentration diffusion problems in practical …
such as porous media [30] … method to compute concentration diffusion problems in practical …
Renewal equations for single-particle diffusion in multilayered media
PC Bressloff - SIAM Journal on Applied Mathematics, 2023 - SIAM
… the derivation of time-dependent solutions that characterize … the renewal equation and
diffusion equation are equivalent. … escape from a three-layer, homogeneous medium. Plots of \(\…
diffusion equation are equivalent. … escape from a three-layer, homogeneous medium. Plots of \(\…
Light diffusion in layered media: A numerical study in the spatial and time-domains
M Helton, S Zerafa, K Vishwanath, MA Mycek - bioRxiv, 2022 - biorxiv.org
… We compare the results to solutions of the diffusion equation in a semi-infinite medium 13 …
optical properties, as required in tomography and functional imaging applications. These …
optical properties, as required in tomography and functional imaging applications. These …
[HTML][HTML] Weak and Classical Solutions to Multispecies Advection–Dispersion Equations in Multilayer Porous Media
… discussed applications to problems of mathematical biology. … For the sake of clarity, we
consider a three-layer advection–… the more general case of time-dependent diffusion coefficients. …
consider a three-layer advection–… the more general case of time-dependent diffusion coefficients. …
An investigation of nonlinear time-fractional anomalous diffusion models for simulating transport processes in heterogeneous binary media
… a semi-analytical solution and mass balance equation for a … time-fractional sub-diffusion
equation, which can describe the … a two-dimensional nonlinear time-dependent time-fractional …
equation, which can describe the … a two-dimensional nonlinear time-dependent time-fractional …
Theoretical model for diffusion-reaction based drug delivery from a multilayer spherical capsule
A Jain, S McGinty, G Pontrelli, L Zhou - International Journal of Heat and …, 2022 - Elsevier
… involving the thickness and diffusion coefficient of the coating is shown … of the drug and release
medium, for example solubility, … By separating out the spatial and time-dependent terms, it …
medium, for example solubility, … By separating out the spatial and time-dependent terms, it …
[PDF][PDF] Source identification problems for time-fractional diffusion equation
MA Sultanov, D Durdiev, A Rahmonov… - AIP Conference …, 2023 - researchgate.net
… Let u(x,y,t) and f(x,y) be a solution to problem (2)-(6), (9), (10)… time-dependent and two
dimensional spatialdependent source problems for a two-dimensional fractional diffusion equation…
dimensional spatialdependent source problems for a two-dimensional fractional diffusion equation…
Imaginary eigenvalues in multilayer one-dimensional thermal conduction problem with linear temperature-dependent heat generation
… Diffusion in a multi-layer body is a common problem in heat and mass transfer, with applications
… The remaining coefficient in the solution is determined by using the initial condition and …
… The remaining coefficient in the solution is determined by using the initial condition and …
Numerical approach to quantify depth-dependent blood flow changes in real-time using the diffusion equation with continuous-wave and time-domain diffuse …
M Helton, S Rajasekhar, S Zerafa… - Biomedical Optics …, 2023 - opg.optica.org
… procedure based on the diffusion equation in layered media capable of quantifying both …
and apply diffusion theory based analytical solutions of DCS signals in layered media to …
and apply diffusion theory based analytical solutions of DCS signals in layered media to …