Zobrazeno 1 - 10
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pro vyhledávání: '"Greenman, Chris"'
Autor:
Greenman, Chris D
Reaction diffusion systems describe the behaviour of dynamic, interacting, particulate systems. Quantum stochastic processes generalise Brownian motion and Poisson processes, having operator valued It\^{o} calculus machinery. Here it is shown that th
Externí odkaz:
http://arxiv.org/abs/2212.10864
Autor:
Greenman, Chris D
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 processes with linear rates are analysed via coherent state Doi-Peliti te
Externí odkaz:
http://arxiv.org/abs/2109.06936
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 that subsume more microscopic cellular processes associated with cell
Externí odkaz:
http://arxiv.org/abs/2003.12233
Autor:
Greenman, Chris D
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 motion in Hilbert space. In this work Doi field theoretic formalism is ut
Externí odkaz:
http://arxiv.org/abs/1912.01071
Autor:
Greenman, Chris D.
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 the literature. Paragrassmannian techniques are then utilized to cons
Externí odkaz:
http://arxiv.org/abs/1801.08063
A hierarchical kinetic theory of birth, death, and fission in age-structured interacting populations
Autor:
Chou, Tom, Greenman, Chris D
We study mathematical models describing the evolution of stochastic age-structured populations. After reviewing existing approaches, we present a full kinetic framework for age-structured interacting populations undergoing birth, death and fission pr
Externí odkaz:
http://arxiv.org/abs/1512.05432
Autor:
Greenman, Chris D
Age dependent population dynamics are frequently modeled with generalizations of the classic McKendrick-von Foerster equation. These are deterministic systems, and a stochastic generalization was recently reported in [1,2]. Here we develop a fully st
Externí odkaz:
http://arxiv.org/abs/1512.05431
Autor:
Greenman, Chris D., Chou, Tom
Publikováno v:
Phys. Rev. E 93, 012112 (2016)
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 fluctuations or population-size-dependent birth and death rates. Stochastic
Externí odkaz:
http://arxiv.org/abs/1506.02111
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 subsequently contains a mixed signal of the underlying clones. We would like t
Externí odkaz:
http://arxiv.org/abs/1407.7997
Autor:
Greenman, Chris
The level spacing distribution of the two dimensional harmonic oscillator is investigated. By obtaining an explicit expression for the spacings, it is observed that the distribution is unstable under the semi-classical limit h → 0. By defining a su
Externí odkaz:
http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.651794