摘要Taking account of the Ca2+-activated degradation of inositol trisphosphate (IP3), a one pool model of cytosolic calcium oscillation is considered to investigate the effect of the calcium pump on the Ca2+ bursting oscillation behavior. In order to give the oscillation domain, a two-parameter bifurcation analysis of the fast subsystem is performed in the parameter plane. Different types of bursting are presented with the variation of the pump parameter, and fast-slow dynamics is used to analyze the types and generation mechanisms of the bursting oscillations. The results are instructive for understanding the role of the calcium pump played in complex intracellular calcium activities.
Abstract：Taking account of the Ca2+-activated degradation of inositol trisphosphate (IP3), a one pool model of cytosolic calcium oscillation is considered to investigate the effect of the calcium pump on the Ca2+ bursting oscillation behavior. In order to give the oscillation domain, a two-parameter bifurcation analysis of the fast subsystem is performed in the parameter plane. Different types of bursting are presented with the variation of the pump parameter, and fast-slow dynamics is used to analyze the types and generation mechanisms of the bursting oscillations. The results are instructive for understanding the role of the calcium pump played in complex intracellular calcium activities.
[1] Rinzel J 1985 Lecture Notes in Mathematics 1151 304 [2] Izhikevich E M 2000 Int. J. Bifur. Chaos 101171 [3] Meyer T and Stryer L 1988 Proc. Natl. Acad. Sci. USA 85 5051 [4] Stryer L and Meyer T 1991 Ann. Rev. Biophys. Chem. 20 153 [5] Borghans J A M, Dupont G and Goldbeter A 1997 Biophys. Chem. 66 25 [6] Larsen A Z, Olsen L F and Kummer U 2004 Biophys.Chem. 107 83 [7] Woods N M, Cuthbertson K S R and Cobbold P H 1986 Nature 319 600 [8] Shen P and Larter R 1995 Cell Calcium. 17 225 [9] Chay T R 1996 Biol. Cybern. 75 419 [10] Perc M and Marhl M 2003 Chaos, Solitons andFractals 18 759 [11] Zhang F, Lu Q S and Duan L X 2007 Chin. Phys. Lett. 24 3344 [12] Wolf A, Swift J B, Swinney H L and Vastano J A 1985 Physica D 16 285
2010, Vol. 27 
