Theory & software
General Theory of Gating
A compositional theory of human ion-channel dynamics, with a language, compiler and integrated modelling environment.
Research
One practice.
Many connected questions.
I work across mathematical theory, physiological modelling and scientific computing. Each programme has its own questions and outputs; their connections create opportunities for new ideas.
Brain & neuroimmune physiology
Human microglia
Published and ongoing models connecting membrane physiology, calcium dynamics and intracellular signalling in human neuroimmune cells.
Gut physiology
Enteric glia
An experimental–computational programme investigating receptor-driven calcium signalling across glial soma and processes.
Algebra & dynamical systems
Pentarnion mathematics
Five-dimensional nonassociative algebra, geometry, integrability and bracketing-dependent nonlinear dynamics.
Languages & high-performance computing
Scientific computing
Modelling languages, compilers, parallel simulation and distributed infrastructure—from earlier research to current scientific tools.
A research genealogy
From a biological question
to new mathematical questions.
Human microglial modelling
Doctoral and published work connected receptors, membrane currents, calcium dynamics and intracellular signalling.
gHH and GTG
The published gHH framework and ongoing GTG programme pursue reusable mathematical descriptions of channel dynamics.
Pentarnions
Investigations of algebra-valued differential equations, motivated by the Hodgkin–Huxley generalisation, developed into a distinct mathematical programme.
Theory and implementation.
Scientific software is developed alongside the mathematics: a way to specify models, investigate consequences and share reproducible computational work.
Let’s investigate what comes next.
I welcome conversations across mathematical modelling, experimental physiology and scientific computing.