Outputs (2)

Fixed and Distributed Gene Expression Time Delays in Reaction-Diffusion Systems (2022)
Journal Article
Sargood, A., Gaffney, E. A., & Krause, A. L. (2022). Fixed and Distributed Gene Expression Time Delays in Reaction-Diffusion Systems. Bulletin of Mathematical Biology, 84(9), Article 98. https://doi.org/10.1007/s11538-022-01052-0

Time delays, modelling the process of intracellular gene expression, have been shown to have important impacts on the dynamics of pattern formation in reaction-diffusion systems. In particular, past work has shown that such time delays can shrink the... Read More about Fixed and Distributed Gene Expression Time Delays in Reaction-Diffusion Systems.

Turing and wave instabilities in hyperbolic reaction–diffusion systems: The role of second-order time derivatives and cross-diffusion terms on pattern formation (2022)
Journal Article
Ritchie, J. S., Krause, A. L., & Van Gorder, R. A. (2022). Turing and wave instabilities in hyperbolic reaction–diffusion systems: The role of second-order time derivatives and cross-diffusion terms on pattern formation. Annals of Physics, 444, Article 169033. https://doi.org/10.1016/j.aop.2022.169033

Hyperbolic reaction-diffusion equations have recently attracted attention both for their application to a variety of biological and chemical phenomena, and for their distinct features in terms of propagation speed and novel instabilities not present... Read More about Turing and wave instabilities in hyperbolic reaction–diffusion systems: The role of second-order time derivatives and cross-diffusion terms on pattern formation.