Dr Murad Banaji
Departmental Lecturer in Applied Mathematics
Address
Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
My main research interests are in applications of the geometric theory of dynamical systems in biology, chemistry and medicine. I am interested in how network structure determines allowed dynamical behaviours in these systems. A major theme is chemical reaction network theory (CRNT) which explores how the combinatorial structure of a reaction network influences its dynamical behaviours.
I have also done quite a lot of writing, some of it technical, but more of it for a general audience, on India's COVID-19 epidemic and mortality, available here: https://muradbanaji.github.io/covid/.
(For a more complete list: https://muradbanaji.github.io/publications/)
Oscillations in three-reaction quadratic mass-action systems
M. Banaji, B. Boros and J. Hofbauer (2023), (https://arxiv.org/abs/2304.02303)
The smallest bimolecular mass-action system with a vertical Andronov–Hopf bifurcation
M. Banaji, B. Boros and J. Hofbauer , to appear in Appl. Math. Lett. (2023), (https://doi.org/10.1016/j.aml.2023.108671)
The smallest bimolecular mass action reaction networks admitting Andronov-Hopf bifurcation
M. Banaji and B. Boros, Nonlinearity 36(2) (2023) 1398–1433, (https://doi.org/10.1088/1361-6544/acb0a8)
Splitting reactions preserves nondegenerate behaviours in chemical reaction networks
M. Banaji, to appear in SIAM J. Appl. Math. (2023) (https://arxiv.org/abs/2201.13105)
Adding species to chemical reaction networks: preserving rank preserves nondegenerate behaviours
M. Banaji, B. Boros and J. Hofbauer, Appl. Math. Comput. 426 (2022) p127109. (Available open access)
Building oscillatory chemical reaction networks by adding reversible reactions
M. Banaji, SIAM J. Appl. Math., 80(4) (2020) 1751–1777. (preprint at https://arxiv.org/abs/1906.09070)