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Scott Hotton

Publications and source records attributed to Scott Hotton.

2 recordsLinked to original sources
arXiv2016

A geometric invariant for the study of planar curves and its application to spiral tip meander

Planar curves with periodically varying curvature arise in the natural sciences as the result of a wide variety of periodic processes. The total curvature of a periodic arc in such curves constrains their symmetry. It is shown how the total curvature can be computed without reparameterizing the curve to unit speed. The use of the total curvature of the periodic arcs is demonstrated through a series of four examples from various branches of science. Insights gained from these examples are applied to improve the modeling of spiral wave meander.

q-bio.SC↗
arXiv2010

A dynamical systems approach to actin-based motility in Listeria monocytogenes

A simple kinematic model for the trajectories of Listeria monocytogenes is generalized to a dynamical system rich enough to exhibit the resonant Hopf bifurcation structure of excitable media and simple enough to be studied geometrically. It is shown how L. monocytogenes trajectories and meandering spiral waves are organized by the same type of attracting set.

q-bio.SC↗