Abstract

Pattern formation is investigated near the breakup instability of rotating spiral waves in a model for intracellular Ca 2+ dynamics. Our results show that spiral breakup is strongly dependent on the inactivation parameter of the inositol 1,4,5 triphosphate receptor ion channel. We compute the pulse train instability reponsible for spiral breakup and investigate the influence of the system size. The instability of planar pulse trains is a long wavelength (with respect to the perturbations) Eckhaus instability, that appears upon decrease of the wavelength of the pulse train. Secondly, we study the dynamics of topological defects in the spatiotemporally chaotic state emerging from the spiral breakup. This regime is charcterized by a variance of the number of defects that is considerably smaller than the corresponding mean value. Global characteristics like the creation and annihilation rate and the probability distribution of the number of defects are calculated. The defect transport is characterized by its diffusivity. Most defects move subdiffusively within their lifetime as a consequence of meandering.

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.