All Outputs (5)

Mathematical modelling of telomere length dynamics (2019)
Journal Article
Wattis, J. A., Qi, Q., & Byrne, H. M. (2019). Mathematical modelling of telomere length dynamics. Journal of Mathematical Biology, 1-38. https://doi.org/10.1007/s00285-019-01448-y

© 2019, The Author(s). Telomeres are repetitive DNA sequences located at the ends of chromosomes. During cell division, an incomplete copy of each chromosome’s DNA is made, causing telomeres to shorten on successive generations. When a threshold leng... Read More about Mathematical modelling of telomere length dynamics.

Asymptotic analysis of breather modes in a two-dimensional mechanical lattice (2019)
Journal Article
Wattis, J., & Alzaidi, A. (2020). Asymptotic analysis of breather modes in a two-dimensional mechanical lattice. Physica D: Nonlinear Phenomena, 401, Article 132207. https://doi.org/10.1016/j.physd.2019.132207

We consider a two-dimensional square lattice in which each node is restricted to the plane of the lattice, but is permitted to move in both directions of the lattice. We assume nodes are connected to nearest neighbours along the lattice directions wi... Read More about Asymptotic analysis of breather modes in a two-dimensional mechanical lattice.

Modelling Emerging Pollutants in Wastewater Treatment: A Case Study using the Pharmaceutical 17??ethinylestradiol (2019)
Journal Article
Acheampong, E., Dryden, I. L., Wattis, J. A., Twycross, J., Scrimshaw, M. D., & Gomes, R. L. (2019). Modelling Emerging Pollutants in Wastewater Treatment: A Case Study using the Pharmaceutical 17??ethinylestradiol. Computers and Chemical Engineering, 128, 477-487. https://doi.org/10.1016/j.compchemeng.2019.06.020

Mathematical modelling can play a key role in understanding as well as quantifying uncertainties surrounding the presence and fate of emerging pollutants in wastewater treatment processes (WWTPs). This paper presents for the first time a simplified e... Read More about Modelling Emerging Pollutants in Wastewater Treatment: A Case Study using the Pharmaceutical 17??ethinylestradiol.

Effects of competition between random sequential nucleation of point-sized seeds and island growth by adsorption of finite-sized grains (2019)
Journal Article
Khanam, A., Wattis, J. A., & Hassan, M. K. (2019). Effects of competition between random sequential nucleation of point-sized seeds and island growth by adsorption of finite-sized grains. Physical Review E, 99(4), https://doi.org/10.1103/PhysRevE.99.042110

We study random sequential adsorption of particles from a pool onto a one-dimensional substrate following ballistic deposition rules with separate nucleation and growth processes occurring simultaneously. Nucleation describes the formation of point-s... Read More about Effects of competition between random sequential nucleation of point-sized seeds and island growth by adsorption of finite-sized grains.

Asymptotic approximations to travelling waves in the diatomic Fermi-Pasta-Ulam lattice (2019)
Journal Article
Wattis, J. A. (2019). Asymptotic approximations to travelling waves in the diatomic Fermi-Pasta-Ulam lattice. Mathematics in Engineering, 1(2), 327-342. https://doi.org/10.3934/mine.2019.2.327

We construct high-order approximate travelling waves solutions of the diatomic Fermi-Pasta-Ulam lattice using asymptotic techniques which are valid for arbitrary mass ratios. Separately small amplitude ansatzs are made for the motion of the lighter a... Read More about Asymptotic approximations to travelling waves in the diatomic Fermi-Pasta-Ulam lattice.