References
- M. Berridge, M. Bootman and P. Lipp, Calcium-a life and death signal, Nat. 395 (1998), pp. 645–648.
- P. Lipp, Nuclear calcium signalling by individual cytoplasmic calcium puffs, EMBO J. 16 (1997), pp. 7166–7173.
- L. Jaffe, Classes and mechanisms of calcium waves, Cell Calcium. 14 (1993), pp. 736–745.
- W. Li, J. Llopis, M. Whitney, G. Zlokarnik and R. Tsien, Cell-permeant caged insP3 ester shows that ca2+ spike frequency can optimize gene expression, Nat. 392 (1998), pp. 936–941.
- M. Berridge, Elementary and global aspects of calcium signalling, J. Physiol. 499 (1997), pp. 291–306.
- R. Dolmetsch, K. Xu and R. Lewis, Calcium oscillations increase the efficiency and specificity of gene expression, Nat. 392 (1998), pp. 933–936.
- A. Skupin and M. Falcke, Statistical analysis of calcium oscillations, Eur. Phys. J. Spec. Top. 187 (2010), pp. 231–240.
- G. Dupont, L. Combettes, G.S. Bird and J.W. Putney, Calcium oscillations, Cold Spring Harb. Perspectives Biol. 3 (2011), pp. a004226.
- A. Zhou, X. Liu and P. Yu, Bifurcation analysis on the effect of store-operated and receptor-operated calcium channels for calcium oscillations in astrocytes, Nonlin. Dyn. 97 (2019), pp. 1–16.
- C. Fall, Computational Cell Biology, Springer, New York, 2011.
- M. Berridge, P. Lipp and M. Bootman, The versatility and universality of calcium signalling, Nat. Rev. Mol. Cell Biol. 1 (2000), pp. 11–21.
- J. Sneyd, J.M. Han, L. Wang, J. Chen, X. Yang, A. Tanimura, M.J. Sanderson, V. Kirk and D.I. Yule, On the dynamical structure of calcium oscillations, Proc. Natl. Acad. Sci. 114 (2017), pp. 1456–1461.
- N. Pages, E. Vera-Sigenza, J. Rugis, V. Kirk, D.I. Yule and J. Sneyd, A model of Ca 2+ dynamics in an accurate reconstruction of parotid acinar cells, Bull. Math. Biol. 81 (2019), pp. 1394–1426.
- G Dupont, M Falcke, V Kirk and J Sneyd, Models of Calcium Signalling. Springer, Switzerland, 2016.
- S. Kingston and K. Thamilmaran, Bursting oscillations and mixed-mode oscillations in driven li e´nard system, Int. J. Bifurcat. Chaos. 27 (2017), pp. 1730025.
- Y. Sun, C. Ni, Y. Ge, H. Qian, Q. Ouyang and F. Li, Both cellular ATP level and ATP hydrolysis free energy determine energetically the calcium oscillation in pancreatic β-cell, 2018. arXiv:1811.11341.
- M. Falcke, R. Huerta, M.I. Rabinovich, H.D. Abarbanel, R.C. Elson and A.I. Selverston, Modeling observed chaotic oscillations in bursting neurons: the role of calcium dynamics and IP3, Biol. Cybern. 82 (2000), pp. 517–527.
- Z. L u¨, L. Chen and L. Duan, Bifurcation analysis of mixed bursting in the pre-B o¨tzinger complex, Appl. Math. Model. 67 (2019), pp. 234–251.
- E. Izhikevich, Neural excitability spiking and bursting, Int. J. Bifurcat. Chaos. 10 (2000), pp. 1171–1266.
- R. Straube, D. Flockerzi and M.J.B. Hauser, Sub-Hopf/fold-cycle bursting and its relation to (quasi-) periodic oscillations, J. Phys. Conf. Ser. 55 (2006), pp. 214–231.
- Z. Song and J. Xu, Bursting near bautin bifurcation in a neural network with delay coupling, Int. J. Neural Syst. 19 (2009), pp. 359–373.
- Y. Li, S. Stojilkovi c´, J. Keizer and J. Rinzel, Sensing and refilling calcium stores in an excitable cell, Biophys. J. 72 (1997), pp. 1080–1091.
- J. Burke, M. Desroches, A.M. Barry, T.J. Kaper and M.A. Kramer, A showcase of torus canards in neuronal bursters, J. Math. Neurosci. 2 (2012), pp. 3–32.
- H. Ju, A.B. Neiman and A.L. Shilnikov, Bottom-up approach to torus bifurcation in neuron models, Chaos: An Interdiscip. J. Nonlin. Sci. 28 (2018), pp. 106317.
- C. Ince, P.C. Leijh, J. Meijer, E. Van Bavel and D.L. Ypey, Oscillatory hyperpolarizations and resting membrane potentials of mouse fibroblast and macrophage cell lines, J. Physiol. 352 (1984), pp. 625–635.
- J. Kimrey, T. Vo and R. Bertram, Canard analysis reveals why a large Ca 2+ window current promotes early afterdepolarizations in cardiac myocytes, PLOS Comput. Biol. 16 (2020), pp. e1008341.