151 citations · 468 across the 10 of their papers we have counts for
10 papers
Reaction-diffusion and reaction-subdiffusion equations on arbitrarily evolving domains
E. Abad, C. N. Angstmann, B. I. Henry +3
Reaction-diffusion equations are widely used as the governing evolution equations for modeling many physical, chemical, and biological processes. Here we derive reaction-diffusion…
Turing patterns from dynamics of early HIV infection over a two-dimensional surface
Ognjen Stancevic, Christopher Angstmann, John M. Murray +1
We have developed a mathematical model for in-host virus dynamics that includes spatial chemotaxis and diffusion across a two dimensional surface representing the vaginal or rectal…
Fractional Fokker-Planck Equations for Subdiffusion with Space-and-Time-Dependent Forces
B. I. Henry, T. A. M Langlands, P. Straka
We have derived a fractional Fokker-Planck equation for subdiffusion in a general space-and- time-dependent force field from power law waiting time continuous time random walks bia…
Fractional Chemotaxis Diffusion Equations
T. A. M. Langlands, B. I. Henry
We introduce mesoscopic and macroscopic model equations of chemotaxis with anomalous subdiffusion for modelling chemically directed transport of biological organisms in changing ch…
Statistical physics and stromatolite growth: new perspectives on an ancient dilemma
M T Batchelor, R V Burne, B I Henry +1
This paper outlines our recent attempts to model the growth and form of microbialites from the perspective of the statistical physics of evolving surfaces. Microbialites arise from…
A case for biotic morphogenesis of coniform stromatolites
M. T. Batchelor, R. V. Burne, B. I. Henry +1
Mathematical models have recently been used to cast doubt on the biotic origin of stromatolites. Here by contrast we propose a biotic model for stromatolite morphogenesis which con…