23 citations · 40 across the 15 of their papers we have counts for
17 papers
Jump stochastic differential equations for the characterisation of the Bragg peak in proton beam radiotherapy
Alastair Crossley, Karen Habermann, Emma Horton +3
Proton beam radiotherapy stands at the forefront of precision cancer treatment, leveraging the unique physical interactions of proton beams with human tissue to deliver minimal dos…
Stability of (sub)critical non-local spatial branching processes with and without immigration
Emma Horton, Andreas E. Kyprianou, Pedro Martín-Chávez +2
We consider the setting of either a general non-local branching particle process or a general non-local superprocess, in both cases, with and without immigration. Under the assumpt…
Limit theorems for the neutron transport equation
Eric Dumonteil, Emma Horton, Andreas E. Kyprianou +1
Over the last decade, ingenuous developments in Monte Carlo methods have enabled the unbiased estimation of adjoint-weighted reactor parameters expressed as bilinear forms, such as…
Stochastic branching models for the telomeres dynamics in a model including telomerase activity
Athanase Benetos, Coralie Fritsch, Emma Horton +3
Telomeres are repetitive sequences of nucleotides at the end of chromosomes, whose evolution over time is intrinsically related to biological ageing. In most cells, with each cell…
Many-to-few for non-local branching Markov process
Simon C. Harris, Emma Horton, Ellen Powell +1
We provide a many-to-few formula in the general setting of non-local branching Markov processes. This formula allows one to compute expectations of k-fold sums over functions of th…
Binary branching processes with Moran type interactions
Alexander M. G. Cox, Emma Horton, Denis Villemonais
The aim of this paper is to study the large population limit of a binary branching particle system with Moran type interactions: we introduce a new model where particles evolve, re…