Regensburg 2004 – scientific programme
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AKB: Biologische Physik
AKB 50: Poster Session "Biological Physics"
AKB 50.60: Poster
Friday, March 12, 2004, 10:30–13:00, B
The emergence of a torus-like attractor in a hemin containing pH oscillator — •Ronny Straube1, Dietrich Flockerzi2, Marcus J.B. Hauser1, and Stefan C. Müller1 — 1Abteilung Biophysik, Institut für Experimentelle Physik, Otto-von-Guericke Universität, Universitätsplatz 2, D-39106 Magdeburg — 2Max-Planck-Institut für komplexe technische Systeme, Sandtorstr. 1, D-39106 Magdeburg
We investigate the bifurcations leading to burst-like oscillations in the hemin – hydrogen peroxide – sulfite System [1], where hemin can be considered as a mimick for heme-containing enzymes. For parameter regions where these kind of oscillations occur, we find an attractor with the topology of a torus which does not bifurcate locally from a Hopf bifurcation. Instead it can be described as the union of several quasi stationary manifolds. The phase flow on the attractor is governed by the dynamics of a slow variable which triggers the switching between the different parts of the attractor. Similar behaviour is known from neural systems [2].
[1] R. Straube, S.C. Müller, and M.J.B. Hauser, Z. Phys. Chem. 217, 1427-1442 (2003)
[2] E.M. Izhikevich, Int. J. Bifurcat. Chaos 10, 1171-1266 (2000)