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  • Different types of bursting calcium oscillations in non-excitable cells
    Perc, Matjaž ; Marhl, Marko
    In the paper different types of bursting ▫$Ca^2+$▫ oscillations are presented. We analyse bursting behaviour in four recent mathematical models for ▫$Ca^2+$▫ oscillations in non-excitable cells. ... Separately, regular, quasi-periodic, and chaotic bursting ▫$Ca^2+$▫ oscillations are classified into several subtypes. The classifications is based on the dynamics of separated fast and slow subsystems, the so-called fast-slow burster analysis. For regular bursting ▫$Ca^2+$▫ oscillations two types of bursting are specified: Point-Point and Point-Cycle bursting. In particular, the slow passage effect, important for the Hopf-Hopf and SubHopf-SubHopf bursting subtypes, is explained by local divergence calculated for the fast subsystem. Quasi-periodic bursting ▫$Ca^2+$▫ oscillations can be found in only one of the four studied mathematical models and appear via a homoclinic bifurcation with a homoclinic torus structure. For chaotic bursting ▫$Ca^2+$▫ oscillations, we found that bursting patterns resulting from the period doubling root to chaos considerably differ from those appearing via intermittency and have to be treated separately. The analysis and classification of different types of bursting ▫$Ca^2+$▫ oscillations provides better insight into mechanisms of complex intra- and intercellular ▫$Ca^2+$▫ signalling. This improves our understanding of several important biological phenomena in cellular signalling like complex frequency-amplitude signal encoding and synchronisation of intercellular signal transduction between coupled cells in tissue
    Vir: Chaos, solitons and fractals (18, 2003, str. 759-773)
    Vrsta gradiva - članek, sestavni del ; neleposlovje za odrasle
    Leto - 2003
    Jezik - angleški
    COBISS.SI-ID - 12722696

    Povezava(-e):

    http://dx.doi.org/10.1016/S0960-0779(03)00027-4

vir: Chaos, solitons and fractals (18, 2003, str. 759-773)

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