50 citations · 96 across the 9 of their papers we have counts for
10 papers
Reaction Diffusion Systems and Extensions of Quantum Stochastic Processes
Chris D Greenman
Reaction diffusion systems describe the behaviour of dynamic, interacting, particulate systems. Quantum stochastic processes generalise Brownian motion and Poisson processes, havin…
Time Series Path Integral Expansions for Stochastic Processes
Chris D Greenman
A form of time series path integral expansion is provided that enables both analytic and numerical temporal effect calculations for a range of stochastic processes. Birth-death pro…
PDE models of adder mechanisms in cellular proliferation
Mingtao Xia, Chris D. Greenman, Tom Chou
Cell division is a process that involves many biochemical steps and complex biophysical mechanisms. To simplify the understanding of what triggers cell division, three basic models…
Duality relations between spatial birth-death processes and diffusions in Hilbert space
Chris D Greenman
Spatially dependent birth-death processes can be modelled by kinetic models such as the BBGKY hierarchy. Diffusion in infinite dimensional systems can be modelled with Brownian mot…
Doi-Peliti Path Integral Methods for Stochastic Systems with Partial Exclusion
Chris D. Greenman
Doi-Peliti methods are developed for stochastic models with finite maximum occupation numbers per site. We provide a generalized framework for the different Fock spaces reported in…
A hierarchical kinetic theory of birth, death, and fission in age-structured interacting populations
Tom Chou, Chris D Greenman
We study mathematical models describing the evolution of stochastic age-structured populations. After reviewing existing approaches, we present a full kinetic framework for age-str…
A Path Integral Approach to Age Dependent Branching Processes
Chris D Greenman
Age dependent population dynamics are frequently modeled with generalizations of the classic McKendrick-von Foerster equation. These are deterministic systems, and a stochastic gen…
A kinetic theory for age-structured stochastic birth-death processes
Chris D. Greenman, Tom Chou
Classical age-structured mass-action models such as the McKendrick-von Foerster equation have been extensively studied but they are structurally unable to describe stochastic fluct…
Inferring the Clonal Structure of Viral Populations from Time Series Sequencing
Donatien Fotso-Chedom, Pablo R. Murcia, Chris D. Greenman
RNA virus populations will undergo processes of mutation and selection resulting in a mixed population of viral particles. High throughput sequencing of a viral population subseque…
The Combinatorics of Tandem Duplication
L Penso-Dolfin, CD Greenman
Tandem duplication is an evolutionary process whereby a segment of DNA is replicated and proximally inserted. The different configurations that can arise from this process give ris…