132 citations · 368 across the 13 of their papers we have counts for
13 papers
Novel Generic Models for Differentiating Stem Cells Reveal Oscillatory Mechanisms
Saeed Farjami, Karen Camargo Sosa, Jonathan H. P. Dawes +2
Understanding cell fate selection remains a central challenge in developmental biology. We present a class of simple yet biologically-motivated mathematical models for cell differe…
Echo State Networks trained by Tikhonov least squares are L2(μ) approximators of ergodic dynamical systems
Allen G Hart, James L Hook, Jonathan H P Dawes
Echo State Networks (ESNs) are a class of single-layer recurrent neural networks with randomly generated internal weights, and a single layer of tuneable outer weights, which are u…
Embedding and Approximation Theorems for Echo State Networks
Allen G Hart, James L Hook, Jonathan H P Dawes
Echo State Networks (ESNs) are a class of single layer recurrent neural networks that have enjoyed recent attention. In this paper we prove that a suitable ESN, trained on a series…
Demographic noise slows down cycles of dominance
Qian Yang, Tim Rogers, Jonathan H P Dawes
We study the phenomenon of cyclic dominance in the paradigmatic Rock--Paper--Scissors model, as occurring in both stochastic individual-based models of finite populations and in th…
Constraints and Entropy in a Model of Network Evolution
Philip Tee, Ian Wakeman, George Parisis +2
Barabási-Albert's `Scale Free' model is the starting point for much of the accepted theory of the evolution of real world communication networks. Careful comparison of the theory w…
The Swift-Hohenberg equation with a nonlocal nonlinearity
David Morgan, Jonathan H. P. Dawes
It is well known that aspects of the formation of localised states in a one-dimensional Swift--Hohenberg equation can be described by Ginzburg--Landau-type envelope equations. This…