Some neurons in the entorhinal cortex (EC) fire bursts when the animal occupies locations organized in a hexagonal grid pattern in their spatial environment. Place cells have also been observed, firing bursts only when the animal occupies a particular region of the environment. Both of these types of cells exhibit theta-cycle modulation, firing bursts in the 4-12 Hz range. Grid cells fire burst...

Abstract This article considers a long-outstanding open question regarding the Jacobian determinant for relativistic Boltzmann equation in center-of-momentum coordinates. For Newtonian equation, coordinates have played large role study of non-cutoff particular we mention widely used cancellation lemma [1]. In this calculate specifically very complicated determinant, ten variables, collision map...

In this paper, two new classes of matrices - Drazin theta matrix and are introduced for a square index \begin{document}$ m $\end{document}. Whenever the is equal to one, we get special case called Group respectively. Several characterizations these matrices, integral representations, representation in lim...

The Hirota variety parameterizes solutions to the KP equation arising from a degenerate Riemann theta function. In this work, we study in detail rational nodal curve. Of particular interest is irreducible subvariety defined as image of parameterization map, call main component. Proving that an component corresponds solving weak Schottky problem for curves. We solve up genus nine using computati...

Neocortical "theta" oscillation (5-12 Hz) has been observed in animals and human subjects but little is known about how the oscillation is organized in the cortical intrinsic networks. Here we use voltage-sensitive dye and optical imaging to study a carbachol/bicuculline induced theta ( approximately 8 Hz) oscillation in rat neocortical slices. The imaging has large signal-to-noise ratio, allow...

Candidate genes and marker loci for cleft lip/palate (CL/P) were tested using linkage analyses and association studies. Eight British families with apparent autosomal dominant inheritance of non-syndromic CL/P participated in the linkage analyses while the association analyses involved 61 unrelated British white people with CL/P and 60 controls. The report of an association between RARA (17q21)...