30 citations · 103 across the 11 of their papers we have counts for
11 papers
A multi-stage model of cell proliferation and death: tracking cell divisions with Erlang distributions
Giulia Belluccini, Martín López-García, Grant Lythe +1
Lymphocyte populations, stimulated in vitro or in vivo, grow as cells divide. Stochastic models are appropriate because some cells undergo multiple rounds of division, some die, an…
A stochastic model of cell proliferation and death across a sequence of compartments
Hanan Dreiwi, Flavia Feliciangeli, Mario Castro +3
Cells of the human body have nearly identical genome but exhibit very different phenotypes that allow them to carry out specific functions and react to changes in their surrounding…
Quantification of Ebola virus replication kinetics in vitro
Laura E. Liao, Jonathan Carruthers, Sophie J. Smither +13
Mathematical modelling has successfully been used to provide quantitative descriptions of many viral infections, but for the Ebola virus, which requires biosafety level 4 facilitie…
A mathematical study of CD8+ T cell responses calibrated with human data
John Paul Gosling, Sheeja M. Krishnan, Grant Lythe +3
Complete understanding of the mechanisms regulating the proliferation and differentiation that takes place during human immune CD8+ T cell responses is still lacking. Human clinica…
Stochastic models of the binding kinetics of VEGF-A to VEGFR1 and VEGFR2 in endothelial cells
Martin Lopez-Garcia, Maria Nowicka, Claus Bendtsen +3
Vascular endothelial growth factor receptors (VEGFRs) are receptor tyrosine kinases (RTKs) that regulate proliferation, migration, angiogenesis and vascular permeability of endothe…
Controlling One-Dimensional Langevin Dynamics on the Lattice
Luis M. A. Bettencourt, Salman Habib, Grant Lythe
Stochastic evolutions of classical field theories have recently become popular in the study of problems such as determination of the rates of topological transitions and the statis…
Dynamics of defect formation
Esteban Moro, Grant Lythe
A dynamic symmetry-breaking transition with noise and inertia is analyzed. Exact solution of the linearized equation that describes the critical region allows precise calculation (…
Stochastic PDEs: domain formation in dynamic transitions
G. D. Lythe
Spatiotemporal evolution in the real Ginzburg-Landau equation is studied with space-time noise and a slowly increasing critical parameter. Analytical estimates for the characterist…
Dynamics controlled by additive noise
G. D. Lythe
Analysis is presented of a system whose dynamics are dramatically simplified by tiny amounts of additive noise. The dynamics divide naturally into two phases. In the slower phase,…
A noise-controlled dynamic bifurcation
G. D. Lythe
We consider a slow passage through a point of loss of stability. If the passage is sufficiently slow, the dynamics are controlled by additive random disturbances, even if they are…
Stochastic calculus: application to dynamic bifurcations and threshold crossings
Kalvis M. Jansons, G. D. Lythe
For the dynamic pitchfork bifurcation in the presence of white noise, the statistics of the last time at zero are calculated as a function of the noise level and the rate of change…