Characterising the Behaviour of a Structured PDE Model of the Cell Cycle in Contrast to a Corresponding ODE System
Sign Up to like & getrecommendations! Published in 2025 at "Bulletin of Mathematical Biology"
DOI: 10.1007/s11538-025-01472-8
Abstract: Experimental results have shown that anti-cancer therapies, such as radiotherapy and chemotherapy, can modulate the cell cycle and generate cell cycle phase-dependent responses. As a result, obtaining a detailed understanding of the cell cycle is… read more here.
Keywords: cell cycle; pde model; cell; model ... See more keywords
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
PDE Model-Based On-Line Cell-Level Thermal Fault Localization Framework for Batteries
Sign Up to like & getrecommendations! Published in 2024 at "IEEE Transactions on Systems, Man, and Cybernetics: Systems"
DOI: 10.1109/tsmc.2023.3344382
Abstract: Unknown distributed incipient thermal fault detection and localization are vital to the safe operation of batteries while they have not been given sufficient attention in existing works compared to the studies on estimation of State… read more here.
Keywords: thermal fault; fault localization; framework; pde 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