All Outputs (6)

Mathematical Models of Chiral Symmetry-breaking – A Review of General Theories, and Adiabatic Approximations of the APED System (2022)
Journal Article
Diniz, P. C., Wattis, J. A., & Da Costa, F. P. (2022). Mathematical Models of Chiral Symmetry-breaking – A Review of General Theories, and Adiabatic Approximations of the APED System. Origins of Life and Evolution of Biospheres, 52(4), 183-204. https://doi.org/10.1007/s11084-022-09631-w

We review the literature surrounding chiral symmetry-breaking in chemical systems, with a focus on understanding the mathematical models underlying these chemical processes. We comment in particular on the toy model of Sandars, Viedma’s crystal grind... Read More about Mathematical Models of Chiral Symmetry-breaking – A Review of General Theories, and Adiabatic Approximations of the APED System.

GIFT: New method for the genetic analysis of small gene effects involving small sample sizes (2022)
Journal Article
Rauch, C., Kyratzi, P., Blott, S., Bray, S., & Wattis, J. A. D. (2023). GIFT: New method for the genetic analysis of small gene effects involving small sample sizes. Physical Biology, 20(1), Article 016001. https://doi.org/10.1088/1478-3975/ac99b3

Small gene effects involved in complex/omnigenic traits remain costly to analyse using current genome-wide association methods (GWAS) because of the number of individuals required to return meaningful association(s), a.k.a. study power. Inspired by f... Read More about GIFT: New method for the genetic analysis of small gene effects involving small sample sizes.

Analysis of phenotype-genotype associations using genomic informational field theory (GIFT) (2022)
Journal Article
Wattis, J. A., Bray, S. M., Kyratzi, P., & Rauch, C. (2022). Analysis of phenotype-genotype associations using genomic informational field theory (GIFT). Journal of Theoretical Biology, 548, Article 111198. https://doi.org/10.1016/j.jtbi.2022.111198

We show how field- and information theory can be used to quantify the relationship between genotype and phenotype in cases where phenotype is a continuous variable. Given a sample population of phenotype measurements, from various known genotypes, we... Read More about Analysis of phenotype-genotype associations using genomic informational field theory (GIFT).

Breather modes of fully nonlinear mass-in-mass chains (2022)
Journal Article
Wattis, J. A. (2022). Breather modes of fully nonlinear mass-in-mass chains. Physical Review E, 105(5), Article 054212. https://doi.org/10.1103/PhysRevE.105.054212

We propose a model for a chain of particles coupled by nonlinear springs in which each mass has an internal mass and all interactions are assumed to be nonlinear. We show how to construct an asymptotic solution of this system using multiple timescale... Read More about Breather modes of fully nonlinear mass-in-mass chains.

Solution classes of the matrix second Painlevé hierarchy (2022)
Journal Article
Gordoa, P. R., Pickering, A., & Wattis, J. (2022). Solution classes of the matrix second Painlevé hierarchy. Physica D: Nonlinear Phenomena, 435, Article 133295. https://doi.org/10.1016/j.physd.2022.133295

We explore the generation of classes of solutions of the matrix second Painlevé hierarchy. This involves the consideration of the application of compositions of auto-Bäcklund transformations to different initial solutions, with the number of distinct... Read More about Solution classes of the matrix second Painlevé hierarchy.

Mathematical modelling of earlier stages of COVID-19 transmission dynamics in Ghana (2022)
Journal Article
Acheampong, E., Okyere, E., Iddi, S., Bonney, J. H., Wattis, J. A., Gomes, R. L., & Asamoah, J. K. K. (2022). Mathematical modelling of earlier stages of COVID-19 transmission dynamics in Ghana. Results in Physics, 34, Article 105193. https://doi.org/10.1016/j.rinp.2022.105193

In late 2019, a novel coronavirus, the SARS-CoV-2 outbreak was identified in Wuhan, China and later spread to every corner of the globe. Whilst the number of infection-induced deaths in Ghana, West Africa are minimal when compared with the rest of th... Read More about Mathematical modelling of earlier stages of COVID-19 transmission dynamics in Ghana.