11 citations · 32 across the 15 of their papers we have counts for
16 papers
Decomposition of the Leinster-Cobbold Diversity Index
Bingzhang Chen, Michael Grinfeld
The Leinster and Cobbold diversity index possesses a number of merits; in particular, it generalises many existing indices and defines an effective number. We present a scheme to q…
A General Model of Structured Cell Kinetics
Michael Grinfeld, Nigel Mottram, Jozsef Farkas
We present a modelling framework for the dynamics of cells structured by the concentration of a micromolecule they contain. We derive general equations for the evolution of the cel…
An enzymatic hormesis box
Michael Grinfeld
We present a simple enzymatic system that is capable of a biphasic response under competitive inhibition. This is arguably the simplest system that can be said to be hormetic
Minimal Travelling Wave Speed and Explicit Solutions in Monostable Reaction-Diffusion Equations
Elaine C. M. Crooks, Michael Grinfeld
We investigate the connection between the existence of an explicit travelling wave solution and the travelling wave with minimal speed in a scalar monostable reaction-diffusion equ…
Bifurcating solutions in a non-homogeneous boundary value problem for a nonlinear pendulum equation
Fernando P. da Costa, Michael Grinfeld, João T. Pinto +1
Motivated by recent studies of bifurcations in liquid crystals cells [1,2] we consider a nonlinear pendulum ordinary differential equation in the bounded interval with no…
Modelling Silicosis: The Structure of Equilibria
Fernando P. da Costa, Michael Drmota, Michael Grinfeld
We analyse the structure of equilibria of a coagulation-fragmentation-death model of silicosis. We present exact multiplicity results in the particular case of piecewise-constant c…