Action potential-enhanced ATP release from taste cells through 1 hemichannels 2 3 Yoshihiro Murata*, Toshiaki Yasuo*, Ryusuke Yoshida*, Kunihiko Obata, Yuchio Yanagawa, 4 Robert F. Margolskee, and Yuzo Ninomiya* 5 6 *Section of Oral Neuroscience, Graduate School of Dental Science, Kyushu University, Fukuoka 7 812-8582, Japan 8 Obata Research Unit, RIKEN Brain Science Institute, Wako 351-0198, J...

Let (M, I, J,K) be a compact hypercomplex manifold admitting a special kind of quaternionic-Hermitian metric called an HKT-metric. Assume that the canonical bundle of (M, I) is trivial as a holomorphic line bundle. We show that the holonomy of canonical torsion-free connection called Obata connection onM is contained in SL(n,H). In Appendix we apply these arguments to compact nilmanifolds which...

on utilizing the spectral representation of selfadjoint operators in hilbert spaces, some error bounds in approximating $n$-time differentiable functions of selfadjoint operators in hilbert spaces via a taylor's type expansion are given.

We extend the Gallot-Tanno Theorem to closed pseudo-Riemannian manifolds. It is done by showing that if the cone over a manifold admits a parallel symmetric (0, 2)−tensor then it is Riemannian. Applications of this result to the existence of metrics with distinct LeviCivita connections but having the same unparametrized geodesics and to the projective Obata conjecture are given. We also apply o...

The classical model of blood oxygen level-dependent (BOLD) responses by Buxton et al. [Buxton, R.B., Wong, E.C., Frank, L.R., 1998. Dynamics of blood flow and oxygenation changes during brain activation: the Balloon model. Magn. Reson. Med. 39, 855-864] has been very important in providing a biophysically plausible framework for explaining different aspects of hemodynamic responses. It also pla...