1 citations · 1 across the 3 of their papers we have counts for
5 papers
Subdiffusive model of substance releasing from a thick membrane
Tadeusz Kosztołowicz, Kazimierz Dworecki, Katarzyna D. Lewandowska
We study both theoretically and experimentally the process of subdiffusive substance releasing from a thick membrane. The theoretical model uses the subdiffusion equation with frac…
Hyperbolic versus parabolic equation with fractional derivative to describe subdiffusion in a membrane system
Tadeusz Kosztolowicz, Katarzyna D. Lewandowska, Barbara Glogowska
We use the parabolic and hyperbolic equation with fractional time derivative to describe the subdiffusion in a system with thin membrane. We find the Green's function and solutions…
Perturbation method to model enamel caries progress
Katarzyna D. Lewandowska, Tadeusz Kosztolowicz
We develop a theoretical model of the carious lesion progress caused by acids diffusing into the tooth enamel from the dental plaque. The acids react with static hydroxyapatite, wh…
Membrane boundary condition
Tadeusz Kosztolowicz, Stanislaw Mrowczynski
Using a microscopic phase-space model of the membrane system, the boundary condition at a membrane is derived. According to the condition, the substance flow across the membrane is…
Time evolution of near membrane layers
Kazimierz Dworecki, Tadeusz Kosztolowicz, Slawomir Wasik +1
The near membrane layer is defined as a region where the concentration of the substance transported across the membrane drops times. The time evolution of such a layer is studi…