TY - GEN
T1 - Numerical simulation of time-fractional diffusion-wave processes applied to communication in bacterial populations
AU - Kuttler, Christina
AU - Maslovskaya, Anna G.
AU - Moroz, Lubov I.
N1 - Publisher Copyright:
© 2021 IEEE.
PY - 2021
Y1 - 2021
N2 - The paper proposes a time-fractional diffusion-wave modification of the bacterial communication model to explore different dynamical regimes of the biological system. The model is formalized as an initialboundary value problem for a system of partial differential equations with Caputo time-fractional derivatives. A finite-difference implicit scheme coupled with an iterative procedure is constructed to solve the problem numerically. Computational experiments indicate realistic time-dependent fluctuations of signal compounds corresponding to the superdiffusion mode.
AB - The paper proposes a time-fractional diffusion-wave modification of the bacterial communication model to explore different dynamical regimes of the biological system. The model is formalized as an initialboundary value problem for a system of partial differential equations with Caputo time-fractional derivatives. A finite-difference implicit scheme coupled with an iterative procedure is constructed to solve the problem numerically. Computational experiments indicate realistic time-dependent fluctuations of signal compounds corresponding to the superdiffusion mode.
UR - http://www.scopus.com/inward/record.url?scp=85123318330&partnerID=8YFLogxK
U2 - 10.1109/DD52349.2021.9598648
DO - 10.1109/DD52349.2021.9598648
M3 - Conference contribution
AN - SCOPUS:85123318330
T3 - Proceedings of the International Conference Days on Diffraction 2021, DD 2021
SP - 114
EP - 119
BT - Proceedings of the International Conference Days on Diffraction 2021, DD 2021
A2 - Motygin, O.V.
A2 - Kiselev, A.P.
A2 - Goray, L. I.
A2 - Kirpichnikova, A. S.
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2021 International Conference Days on Diffraction, DD 2021
Y2 - 31 May 2021 through 4 June 2021
ER -