25 citations · 27 across the 5 of their papers we have counts for
5 papers
Cubic tic-tac-toe: A matching-based approach
John W. Cain, Ioannis M. Raymond, Nora C. Källersjö
In the natural generalization of tic-tac-toe to an board where , it is known that the first player has a winning strategy if and…
Improved Lower Bounds on the Classical Ramsey Numbers R(4,22) and R(4,25)
Madison Lindsay, John W. Cain
Circulant graphs have been used to effectively establish lower bounds on many classical Ramsey numbers. Here, we construct circulant graphs of prime order that sharpen the best pub…
Complex patterns of spontaneous initiations and terminations of reentrant circulation in a loop of cardiac tissue
H. Sedaghat, M. A. Wood, J. W. Cain +3
A two-component model is developed that consists of a discrete loop of cardiac cells that circulates action potentials together with a cardiac pacing mechanism. Physiological prope…
Rate-dependent propagation of cardiac action potentials in a one-dimensional fiber
John W. Cain, Elena G. Tolkacheva, David G. Schaeffer +1
Action potential duration (APD) restitution, which relates APD to the preceding diastolic interval (DI), is a useful tool for predicting the onset of abnormal cardiac rhythms. Howe…
An ionically based mapping model with memory for cardiac restitution
David G. Schaeffer, John W. Cain, Daniel J. Gauthier +4
Many features of the sequence of action potentials produced by repeated stimulation of a cardiac patch can be modeled by a 1D mapping, but not the full behavior observed in the res…