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- Martin Johannes Schuster, Sreedhar Kilaru, Peter Ashwin, Congping Lin, Nicholas J. Severs, Gero Steinberg
- The EMBO journal
- 2011

Bidirectional transport of early endosomes (EEs) involves microtubules (MTs) and associated motors. In fungi, the dynein/dynactin motor complex concentrates in a comet-like accumulation at MT plus-ends to receive kinesin-3-delivered EEs for retrograde transport. Here, we analyse the loading of endosomes onto dynein by combining live imaging of… (More)

- Peter Ashwin
- 1994

For maps equivariant under the action of a nite group ? on R n , the possible symmetries of xed points are known and correspond to the isotropy subgroups. This paper investigates the possible symmetries of arbitrary, possibly chaotic, attractors and nds that the necessary conditions of Melbourne, Dellnitz and Golubitsky 15] are also suucient, at least for… (More)

- Oscar Benjamin, Thomas HB Fitzgerald, +4 authors John R. Terry
- Journal of mathematical neuroscience
- 2012

We describe a phenomenological model of seizure initiation, consisting of a bistable switch between stable fixed point and stable limit-cycle attractors. We determine a quasi-analytic formula for the exit time problem for our model in the presence of noise. This formula--which we equate to seizure frequency--is then validated numerically, before we extend… (More)

- Peter Ashwin, Eurico Covas
- 1999

Suppose a smooth dynamical system has an invariant subspace and a parameter that leaves the dynamics in the invariant subspace invariant while changing the normal dynamics. Then we say the parameter is a normal parameter, and much is understood of how attractors can change with normal parameters. Unfortunately, normal parameters do not arise very often in… (More)

- Yujiro Higuchi, Peter Ashwin, Yvonne Roger, Gero Steinberg
- The Journal of cell biology
- 2014

Early endosomes (EEs) mediate protein sorting, and their cytoskeleton-dependent motility supports long-distance signaling in neurons. Here, we report an unexpected role of EE motility in distributing the translation machinery in a fungal model system. We visualize ribosomal subunit proteins and show that the large subunits diffused slowly throughout the… (More)

Robust heteroclinic networks are invariant sets that can appear as attractors in symmetrically coupled or otherwise constrained dynamical systems. These networks may have a complicated structure determined to a large extent by the constraints and dimension of the system. As these networks are of great interest as dynamical models of biological and cognitive… (More)

- Peter Ashwin, Stephen Coombes, Rachel Nicks
- Journal of mathematical neuroscience
- 2016

The tools of weakly coupled phase oscillator theory have had a profound impact on the neuroscience community, providing insight into a variety of network behaviours ranging from central pattern generation to synchronisation, as well as predicting novel network states such as chimeras. However, there are many instances where this theory is expected to break… (More)

We consider special Euclidean SE n group extensions of dynamical sys tems and obtain results on the unboundedness and growth rates of trajectories for smooth extensions The results depend on n and the base dynamics consid ered For discrete dynamics on the base with a dense set of periodic points we prove unboundedness of trajectories for generic extensions… (More)

- M. Aguiar, Peter Ashwin, A. Dias, M. Field
- J. Nonlinear Science
- 2011

We consider the dynamics of small networks of coupled cells. We usually assume asymmetric inputs and no global or local symmetries in the network and consider equivalence of networks in this setting; that is, when two networks with different architectures give rise to the same set of possible dynamics. Focusing on transitive (strongly connected) networks… (More)

A simple mapping is derived, which describes the behavior of a peak current-mode controlled boost converter operating chaotically. The invariant density of this mapping is calculated iteratively and, from this, the power density spectrum of the input current at the clock frequency and its harmonics is deduced. The calculation is presented, along with… (More)