14 citations · 27 across the 5 of their papers we have counts for
8 papers
The Prisoner's dilemma as a cancer model
Jeffrey West, Zaki Hasnain, Jeremy Mason +1
Tumor development is an evolutionary process in which a heterogeneous population of cells with differential growth capabilities compete for resources in order to gain a proliferati…
An evolutionary model of tumor cell kinetics and the emergence of molecular heterogeneity driving Gompertzian growth
Jeffrey West, Zaki Hasnain, Paul Macklin +1
A cell-molecular based evolutionary model of tumor development driven by a stochastic Moran birth-death process is developed, where each cell carries molecular information represen…
Coins falling in water
Luke Heisinger, Paul K Newton, Eva Kanso
When a coin falls in water, its trajectory is one of four types determined by its dimensionless moment of inertia and Reynolds number Re: (A) steady; (B) fluttering; (C) c…
Motion Control of a Spinning Disc on Rotating Earth
Fangxu Jing, Eva Kanso, Paul K. Newton
This paper considers the motion control of a particle and a spinning disc on rotating earth. The equations of motion are derived using Lagrangian mechanics. Trajectory planning is…
Insights into symmetric and asymmetric vortex mergers using the core growth model
Fangxu Jing, Eva Kanso, Paul K. Newton
We revisit the two vortex merger problem (symmetric and asymmetric) for the Navier-Stokes equations using the core growth model for vorticity evolution coupled with the passive par…
Viscous evolution of point vortex equilibria: The collinear state
Fangxu Jing, Eva Kanso, Paul K. Newton
When point vortex equilibria of the 2D Euler equations are used as initial conditions for the corre- sponding Navier-Stokes equations (viscous), typically an interesting dynamical…
Equilibrium singularity distributions in the plane
Paul K. Newton, Vitalii Ostrovskyi
We characterize all fixed equilibrium point singularity distributions in the plane of logarithmic type, allowing for real, imaginary, or complex singularity strengths Γ. The dynami…
Multiply-interacting Vortex Streets
Babak G. Oskouei, Eva Kanso, Paul K. Newton
We investigate the behavior of an infinite array of (reverse) von K'arm'an streets. Our primary motivation is to model the wake dynamics in large fish schools. We ignore the fish a…