54 citations · 151 across the 6 of their papers we have counts for
6 papers
Are physiological oscillations 'physiological'?
Lingyun Xiong, Alan Garfinkel
Despite widespread and striking examples of physiological oscillations, their functional role is often unclear. Even glycolysis, the paradigm example of oscillatory biochemistry, h…
Generation of finite wave trains in excitable media
Arik Yochelis, Edgar Knobloch, Yuanfang Xie +2
Spatiotemporal control of excitable media is of paramount importance in the development of new applications, ranging from biology to physics. To this end we identify and describe a…
Front motion and localized states in an asymmetric bistable activator-inhibitor system with saturation
Arik Yochelis, Alan Garfinkel
We study the spatiotemporal properties of coherent states (peaks, holes, and fronts) in a bistable activator-inhibitor system that exhibits biochemical saturated autocatalysis, and…
The formation of labyrinths, spots and stripe patterns in a biochemical approach to cardiovascular calcification
A. Yochelis, Y. Tintut, L. L. Demer +1
Calcification and mineralization are fundamental physiological processes, yet the mechanisms of calcification, in trabecular bone and in calcified lesions in atherosclerotic calcif…
Macroscopic consequences of calcium signaling in microdomains: A first passage time approach
Robert Rovetti, Kunal K. Das, Alan Garfinkel +1
Calcium (Ca) plays an important role in regulating various cellular processes. In a variety of cell types, Ca signaling occurs within microdomains where channels deliver localized…
Diffusion-induced vortex filament instability in 3-dimensional excitable media
Zhilin Qu, Fagen Xie, Alan Garfinkel
We studied the stability of linear vortex filaments in 3-dimensional (3D) excitable media, using both analytical and numerical methods. We found an intrinsic 3D instability of vort…