12 citations · 29 across the 21 of their papers we have counts for
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math.NA2025
Approximating a spatially-heterogeneously mass-emitting object by multiple point sources in a diffusion model
Qiyao Peng, Sander C. Hille
Various biological cells secrete diffusing chemical compounds into their environment for communication purposes. Secretion usually takes place over the cell membrane in a spatially…
math.NA2024
Using multiple Dirac delta points to describe inhomogeneous flux density over a cell boundary in a single-cell diffusion model
Qiyao Peng, Sander C. Hille
Biological cells can release compounds into their direct environment, generally inhomogeneously over their cell membrane, after which the compounds spread by diffusion. In mathemat…
math.NA2023★ 4 cited
Quality of approximating a mass-emitting object by a point source in a diffusion model
Qiyao Peng, Sander C. Hille
For the sake of computational efficiency and for theoretical purposes, in mathematical modelling, the Dirac Delta distributions are often utilized as a replacement for cells or ves…