Intracellular recordings were made in the dorsal hippocampal formation of urethane-anesthetized rats as the local field activity spontaneously cycled between a synchronous condition termed theta and an asynchronous condition termed LIA. All cells reported in this study were labeled with Neurobiotin and classified as theta-related or non-theta-related according to the system of Colom and Bland [...

A regular slow wave theta rhythm can be recorded in the medial entorhinal cortex (MEC) of freely moving rats during voluntary behaviors and paradoxical sleep. Electrode penetrations normal to the cortical layers proceeding from the deeper to the more superficial layers reveal a continuous theta rhythm in layers IV-III (deep MEC theta rhythm) with an amplitude maximum in layer III, a null betwee...

Brain oscillations in the theta frequency band (3-8 Hz) have been shown to be critically involved in human episodic memory retrieval. In prior work, both positive and negative relationships between cortical theta power and retrieval success have been reported. This study examined the hypothesis that slow and fast cortical theta oscillations at the edges of the traditional theta frequency band a...

Let A be a densely defined closed, linear $$\omega$$ -sectorial operator of angle $$\theta \in [0,\frac{\pi }{2})$$ on Banach space X, for some $$\omega \mathbb {R}$$ . We give an explicit representation (in terms special functions) and study the precise asymptotic behavior as time goes to infinity solutions following diffusion equation with memory: $$\displaystyle u'(t)=Au(t)+(\kappa *Au)(t), ...

We investigate the differential geometry and topology of globally hyperbolic four-manifolds (M, g) admitting a parallel real spinor $$\varepsilon $$ . Using theory parabolic pairs recently introduced in [22], we first formulate parallelicity condition on M as system partial equations, flow for family polyforms an appropriate Cauchy surface $$\Sigma \hookrightarrow M$$ The existence induces cons...

Abstract The present work deals with a complex scalar field in tensor gravity theory the background of spatially flat Friedmann–Lema $${\hat{i}}$$ i ^ tre–Robertson–Walker (FLRW) geometry. Noether symmetry analysis has been used to determine classical cosmological sol...

Theta waves in the amygdala are known to be synchronized with theta waves in the hippocampus. Synchronization between amygdala and hippocampal theta waves is considered important for neuronal communication between these regions during the memory-retrieval process. These theta waves are also observed during rapid eye movement (REM) sleep. However, few studies have examined the mechanisms and fun...

Experiments were carried out in urethane-anesthetized rats in order to evaluate the hypothesis that the red nucleus has functional connections with the hippocampal formation. Depth profiles of electrical stimulation in Experiment 1 confirmed that stimulation administered to the red nucleus elicited theta field activity in the hippocampal formation with a linear relationship between stimulus int...

Experiments were carried out in urethane-anesthetized rats to evaluate the hypothesis that the red nucleus has functional connections with the hippocampal formation. Depth profiles of electrical stimulation in experiment 1 confirmed that stimulation administered to the red nucleus elicited theta field activity in the hippocampal formation with a linear relationship between stimulus intensity an...