By Richard Bertram,Joël Tabak,Wondimu Teka,Theodore Vo,Martin Wechselberger,Vivien Kirk,James Sneyd
This booklet includes assessment articles on mathematical body structure that take care of heavily comparable themes yet have been written and will be learn independently.
The first article experiences the elemental idea of calcium oscillations (common to nearly all mobile types), together with spatio-temporal behaviors comparable to waves. the second one article makes use of, and expands on, a lot of this simple thought to teach how the interplay of cytosolic calcium oscillators with membrane ion channels can lead to hugely advanced styles of electric spiking. via those examples possible see in actual fact how a number of oscillatory procedures have interaction inside of a telephone, and the way mathematical tools can be utilized to appreciate such interactions greater. the 2 studies offer very good examples of ways arithmetic and body structure can study from one another, and paintings together in the direction of a greater realizing of advanced mobile processes.
Review 1: Richard Bertram, Joel Tabak, Wondimu Teka, Theodore Vo, Martin Wechselberger: Geometric Singular Perturbation research of Bursting Oscillations in Pituitary Cells
Review 2: Vivien Kirk, James Sneyd: Nonlinear Dynamics of Calcium