Mathematical treatment of PDE model of chemotactic E. coli colonies
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2020.12.020
Abstract: Abstract We consider an initial-boundary value problem for reaction-diffusion equations coupled with the Keller-Segel system from the chemotaxis theory which describe a formation of colony patterns of bacteria Escherichia coli. The main goal of this… read more here.
Keywords: treatment pde; coli; chemotactic coli; mathematical treatment ... See more keywords
Deciphering the dynamics of lamellipodium in a fish keratocytes model.
Sign Up to like & getrecommendations! Published in 2020 at "Journal of theoretical biology"
DOI: 10.1016/j.jtbi.2020.110534
Abstract: Motile cells depend on an intricate network of feedback loops that are essential in driving cell movement. Integrin-based focal adhesions (FAs) along with actin are the two key factors that mediate such motile behaviour. Together,… read more here.
Keywords: pde model; deciphering dynamics; dynamics lamellipodium; model ... See more keywords
An integro-PDE model with variable motility
Sign Up to like & getrecommendations! Published in 2019 at "Nonlinear Analysis: Real World Applications"
DOI: 10.1016/j.nonrwa.2018.07.004
Abstract: Abstract This paper is concerned with a nonlocal reaction–diffusion–mutation model. It involves the spatial variable and a trait variable which govern the spatial diffusion of species. By establishing comparison principle and constructing monotone iterative sequence,… read more here.
Keywords: model; variable motility; integro pde; pde model ... See more keywords
Nuclear Magnetic Shielding Constants with the Polarizable Density Embedding Model.
Sign Up to like & getrecommendations! Published in 2022 at "Journal of chemical theory and computation"
DOI: 10.1021/acs.jctc.2c00829
Abstract: We extend the polarizable density embedding (PDE) model to support the calculation of nuclear magnetic resonance (NMR) shielding constants using gauge-including atomic orbitals (GIAOs) within a density functional theory (DFT) framework. The PDE model divides… read more here.
Keywords: pde model; polarizable density; shielding constants; model ... See more keywords
Probing the Oscillatory Behavior of Internet Game Addiction via Diffusion PDE Model
Sign Up to like & getrecommendations! Published in 2022 at "Axioms"
DOI: 10.3390/axioms11110649
Abstract: We establish a non-linear diffusion partial differential equation (PDE) model to depict the dynamic mechanism of Internet gaming disorder (IGD). By constructing appropriate super- and sub-solutions and applying Schauder’s fixed point theorem and continuation method,… read more here.
Keywords: diffusion; pde model; probing oscillatory; oscillatory behavior ... See more keywords
Learning PDE to Model Self-Organization of Matter
Sign Up to like & getrecommendations! Published in 2022 at "Entropy"
DOI: 10.3390/e24081096
Abstract: A self-organization hydrodynamic process has recently been proposed to partially explain the formation of femtosecond laser-induced nanopatterns on Nickel, which have important applications in optics, microbiology, medicine, etc. Exploring laser pattern space is difficult, however,… read more here.
Keywords: pde model; learning pde; self organization; model self ... See more keywords
Regional Influenza Prediction with Sampling Twitter Data and PDE Model
Sign Up to like & getrecommendations! Published in 2020 at "International Journal of Environmental Research and Public Health"
DOI: 10.3390/ijerph17030678
Abstract: The large volume of geotagged Twitter streaming data on flu epidemics provides chances for researchers to explore, model, and predict the trends of flu cases in a timely manner. However, the explosive growth of data… read more here.
Keywords: influenza prediction; sampling twitter; pde model; model ... See more keywords