BACKGROUND Bipolar disorder (BD) is a chronic and often severe mental disease, associated with a significant burden in affected individuals. The characterization of a premorbid (prodromal) period and possible development of preventive interventions are recent advances in this field. Attempts to characterize high-risk stages in BD, identifying symptoms prior to the emergence of a first manic/hyp...

BACKGROUND Double-wave reentry (DWR) can be a mechanism for acceleration of ventricular tachycardia (VT) with a large excitable gap (EG). The purpose of this study was to determine the effects of heptanol, class Ic, and class III drugs on the inducibility of DWR. METHODS AND RESULTS In 11 Langendorff-perfused rabbit hearts, a thin ring of anisotropic left ventricular epicardium was created by...

Participants attempted to perform two tasks concurrently during simulated driving. In the choice task, they responded either manually or vocally to the number of times a visual or auditory stimulus occurred; in the braking task, they depressed a brake pedal in response to the lead car's brake lights. The time delay between the onset of the tasks' stimuli, or stimulus onset asynchrony (SOA), was...

Abstract. In 1998, Allouche, Peyrière, Wen and Wen considered the Thue–Morse sequence, and proved that all the Hankel determinants of the period-doubling sequence are odd integers. We speak of t-extension when the entries along the diagonal in the Hankel determinant are all multiplied by t. We prove that the t-extension of each Hankel determinant of the period-doubling sequence is a polynomial ...

We extend the theory of quasipotentials in dynamical systems by calculating an exact potential for the critical fluctuations of pitchfork bifurcations of period-doubling maps in the weak noise limit. These far-from-equilibrium fluctuations are described by finite-size mean field theory, placing their static properties in the same universality class as the Ising model on a complete graph. We dem...

We extend Lin’s method for use in the setting of parameter-dependent nonlinear functional differential equations of mixed type (MFDEs). We show that the presence of M -homoclinic and M -periodic solutions that bifurcate from a prescribed homoclinic connection can be detected by studying a finite dimensional bifurcation equation. As an application, we describe the codimension two orbit-flip bifu...

The dynamics of the classic planar two-species Lotka-Volterra predator-prey model are well understood. We introduce a scavenger species, who scavenges the predator and is also a predator of the common prey. For this model, we analytically prove that all trajectories are bounded in forward time, and numerically demonstrate persistent bounded paired cascades of period-doubling orbits over a wide ...

The authors tested 18 younger adults and 18 older adults on four sessions in a psychological refractory period (PRP) paradigm, to see whether older adults can benefit as much from dual-task practice as younger adults. Task 1 involved tone discrimination and Task 2 involved simultaneous letter-matching. The stimulus onset asynchrony (SOA) between the tasks was either 50, 150, 300, or 900 ms. Alt...

For two-person, zero-sum games where the probability of each player winning is a continuous function of time and is known to both players, the mutually optimal strategy for proposing and accepting a doubling of the game value is known. We present an algorithm for deriving the optimal doubling strategy of a player who is aware of the sub-optimal strategy followed by the opponent. We also present...

Uniformity testing and the more general identity testing are well studied problems in distributional property testing. Most previous work focuses on testing under L1-distance. However, when the support is very large or even continuous, testing under L1-distance may require a huge (even infinite) number of samples. Motivated by such issues, we consider the identity testing in Wasserstein distanc...