@inproceedings{01b22cbf9c824961b7d27e87263d6a6c,
title = "Wave effects in stochastic time lagging reaction-diffusion model of quorum-sensing in bacterial populations",
abstract = "The paper is devoted to developing a reaction-diffusion model of bacterial quorum sensing. The mathematical model is formalized by an initial-boundary value problem for a system of time lagging reaction-diffusion partial differential equations. A stochastic algorithm describing the self-similar process of bacterial population dynamics is proposed. An implicit finite difference scheme combined with an iterative procedure is derived. Computational experiments allow us to reveal the time-dependent fluctuations of signal substances concentrations observed during bacterial population progress.",
author = "Christina Kuttler and Maslovskaya, {Anna G.}",
note = "Publisher Copyright: {\textcopyright} 2020 IEEE.; 2020 International Conference Days on Diffraction, DD 2020 ; Conference date: 25-05-2020 Through 29-05-2020",
year = "2020",
month = may,
day = "25",
doi = "10.1109/DD49902.2020.9274653",
language = "English",
series = "Proceedings of the International Conference Days on Diffraction 2020, DD 2020",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "62--67",
editor = "O.V. Motygin and A.P. Kiselev and L.I. Goray and T.M. Zaboronkova and A.Ya. Kazakov and A.S. Kirpichnikova",
booktitle = "Proceedings of the International Conference Days on Diffraction 2020, DD 2020",
}