Dynamics of Chemial Systems
Use of amplitude equations for modelling of spatiotemporal
phenomena in complex chemical systems.
M. Ipsen, F. Hynne and P.G. Sørensen ``Systematic derivation of
amplitude equations and normal forms for dynamical systems'' Chaos
8 (1998) 834-852.
M. Ipsen, F. Hynne and P. G. Sørensen
``Amplitude equations for reaction-diffusion systems with a Hopf
bifurcation and slow real modes''
Physica D 136 (2000) 66-92
M. Ipsen and P.G. Sørensen ``Finite wavelength instabilities in
a slow mode coupled complex Ginzburg-Landau equation''
Phys. Rev. Lett. 84 (2000)2389-2392
abstract or download]
M.Ipsen; L.Kramer, and P.G.Sørensen ``Amplitude equations for
description of chemical reaction-diffusion systems''
Phys.Rep.-Rev.Sect.Phys.Lett. 337 (2000)
H.Skødt and P.G.Sørensen
''Antispirals in an Artificial Tissue of Oscillatory cells''
Phys.Rev.E 68 020902-1 (2003)
The linear behavior of a chemical
system close to a stationary state can be investigated in a very
efficient way by experimental perturbations with different chemical
substances. For oscillatory systems close to a Hopf bifurcation a
range of different chemical systems have been studied by a method we
have called quenching analysis and we have obtained detailled
information on the chemical mechanism. By use of control theory the
quenching method has been generalized to a method for efficient
experimental determination of all the elements of the Jacobian matrix
at the bifurcation point.
E. Mihaliuk, H. Skødt, F. Hynne, P.G. Sørensen,
K. Showalter ``Normal modes for chemical reactions from time series
analysis'' J. Phys. Chem. 103 (1999) 8246-8251
Experimental studies of wave phenomena.
F.G.Jensen; J.Sporring; M.Nielsen and P.G.Sørensen
''Tracking target and spiral waves''
Chaos 12 (2002) 16-26
Studies of the coupling between chemical reactions and hydrodynamic
A.J. Pons, F. Sagués, M.A. Bees, and P.G.Sørensen
``Pattern Formation in the Methylene-Blue-Glucose System''
J. Phys. Chem 104 (2000) 2251-2259
M.A.Bees; A.J. Pons; P. G. Sørensen; F. Sagués
``Chemoconvection a chemically driven hydrodynamic instability''
J. Chem. Phys. 114 (2001) 1932-1943
A.J.Pons, F.Sagués, M.A.Bees and P.G.Sørensen
''Quantitative analysis of chemoconvection patterns in
the Methylene-Blue-Glucose system.''
J.Phys.Chem.B. 106 (2002) 7252-7259
Dynamics of Biological Systems
Oscillations and chaos in yeast extract
K. Nielsen, P.G. Sørensen, F. Hynne and H.G. Busse ``Sustained
oscillations in Glycolysis: An experimental and theoretical study of
chaotic and complex periodic behavior and of quenching of simple
oscillations'' Biophysical Chemistry 72 (1998)
Oscillations in living yeast cells.
Glycolytic oscillations in stirred suspensions of living
yeast cells have been known for a long time. The root of
this macroscopically observable phenomenon is that
glycolytic oscillations in the individual cell are
syncronized by some unknown mechanism of intercellular
S. Danø, P.G. Sørensen og F. Hynne
`` Sustained oscillations in living cells''
Nature 102 (1999) 320-322 [MEDLINE]
F.Hynne. S.Danø and P.G.Sørensen ''A Functional Dynamics Approach to
Modelling of Glycolysis'' in Function and Regulation of Cellular
Systems: Experiments and Models ed. by A.Deutsch et.al.
Birkhauser Verlag Basel/Switzerland 2003.
M.Madsen, S.Danø and P.G.Sørensen ''On the mechanism of glycolytic
oscillations in Saccharomyces cerevisiae'' FEBS J. in press
S.Danø, M-Madsen and P.G.Sørensen ''Chemical interpretation of
oscillatory modes at a Hopf point'' PCCP in press
Modelling a population of oscillatory yeast cells
The system has been modelled as a set of Stuart-Landau oscillators
communicating with each other through the medium. The Stuart-landau
parameters of the cells are estimated from the experimental
measurements. Depending on the actual values of the parameters the
system shows a remarkable variety in the syncronization dynamics from
attration to a stable stationary state through syncroneous
oscillations of the system to partial syncronization which can be
observed experimentally as periodic or chaotic oscillations of the
S. Danø, F. Hynne and P. G. Sørensen
``Dynamics of Yeast Cell Populations''
Physical Chemistry 2000, Proceedings of the 5th
International Conference on Fundamental and Applied Aspects
of Physical Chemistry, Belgrade, Yugoslavia (2000) 12-19 [gzip'ed
F.Hynne; S.Danø; P.G.Sørensen ''Full-scale model of glycolysis
in Saccharomyces cerevisiae'' Biophys.Chem. 94 (2001)
S.Danø; F.Hynne; S.DeMonte; F,d'Ovidio; P.G.Sørensen and H.Westerhoff
''Synchronization of glycolytic oscillations in a yeast cell population.''
Faraday Disc. 2001 120 295-312