#### Ongoing work

*Dynamics of bipolar disorders model: periodic and switching phenomenon*, joint work with E. Kutafina and P. Szmolyan, in preparation.

#### Papers in journals

* 2015 *I.K, P. Szmolyan,

*Geometric analysis of Goldbeter’s model for the mitotic oscillator*, J. Math. Biol. DOI 10.1007/s00285-015-0905-0

**2011** I.K, P. Szmolyan, *Scaling in Singular Perturbation Problems Blowing Up a Relaxation Oscillator*, SIAM J. Appl. Dyn. Syst.,10, pp. 1307-1343

**2010** I.K, P. Szmolyan, *Geometric Desingularization in Slow-Fast Systems with Application to the Glycolytic Oscillations Model*, AIP Conf. Proc., 1281 (2010) pp. 235-238

**2009** I. Gucwa, P. Szmolyan, *Geometric singular perturbation analysis of an autocatalator model*, Discrete and Continuous Dynamical Systems Series S, 2 (2009) pp. 783-806

**2007** I. Gucwa, N. N. Bogoliubov (Jr.), A. K. Prykarpatski, and J. Golenia, *Analytical properties of an Ostrovsky-Whitham type dynamical system for a relaxing medium with spatial memory and its integrable regularization*, Preprint IC/2007/109, The Abdus Salam International Center for Theoretical Physics, Trieste, Italy

**Dissertation**

**2012** *Relaxation oscillations in slow-fast systems beyond the standard form*, Dissertation, University of Leipzig, supervised by Prof. J. Jost

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