We investigate the reaction dynamics of diffusive molecules with immobile
binding partners. The fixed reactants build clusters that are comprised
of just a few tens of molecules, which leads to small cluster sizes.
These molecules participate in the reaction only if they are activated.
The dynamics of activation is mapped to a time-dependent size of
an active region within the cluster. We focus on the deterministic
description of the dynamics of a single cluster. The spatial setup
accounts for one of the most important determinants of the dynamics
of a cluster, i.e. diffusional transport of reaction partners towards
or away from the active region of the cluster. We provide numerical
and analytical evidence that diffusion influences decisively the
dynamic regimes of the reactions. The application of our methods
to intracellular Ca$^2+$ dynamics shows that large local concentrations
saturate the Ca$^2+$ feedback to the channel state control. It
eliminates oscillations depending on this feedback.
%0 Journal Article
%1 Thul_2005_51
%A Thul, R.
%A Falcke, M.
%D 2005
%J Phys. Biol.
%K 1,4,5-Trisphosphate Animals; Biological; Biophysics; Calcium Calcium; Cell Channels; Chemical; Diffusion; Inositol Membrane; Models, Oscillometry; Processes Receptors; Signaling; Statistical; Stochastic Theoretical;
%N 1
%P 51--59
%R 10.1088/1478-3967/2/1/007
%T Reactive clusters on a membrane.
%U http://dx.doi.org/10.1088/1478-3967/2/1/007
%V 2
%X We investigate the reaction dynamics of diffusive molecules with immobile
binding partners. The fixed reactants build clusters that are comprised
of just a few tens of molecules, which leads to small cluster sizes.
These molecules participate in the reaction only if they are activated.
The dynamics of activation is mapped to a time-dependent size of
an active region within the cluster. We focus on the deterministic
description of the dynamics of a single cluster. The spatial setup
accounts for one of the most important determinants of the dynamics
of a cluster, i.e. diffusional transport of reaction partners towards
or away from the active region of the cluster. We provide numerical
and analytical evidence that diffusion influences decisively the
dynamic regimes of the reactions. The application of our methods
to intracellular Ca$^2+$ dynamics shows that large local concentrations
saturate the Ca$^2+$ feedback to the channel state control. It
eliminates oscillations depending on this feedback.
@article{Thul_2005_51,
abstract = {We investigate the reaction dynamics of diffusive molecules with immobile
binding partners. The fixed reactants build clusters that are comprised
of just a few tens of molecules, which leads to small cluster sizes.
These molecules participate in the reaction only if they are activated.
The dynamics of activation is mapped to a time-dependent size of
an active region within the cluster. We focus on the deterministic
description of the dynamics of a single cluster. The spatial setup
accounts for one of the most important determinants of the dynamics
of a cluster, i.e. diffusional transport of reaction partners towards
or away from the active region of the cluster. We provide numerical
and analytical evidence that diffusion influences decisively the
dynamic regimes of the reactions. The application of our methods
to intracellular {C}a$^{2+}$ dynamics shows that large local concentrations
saturate the {C}a$^{2+}$ feedback to the channel state control. It
eliminates oscillations depending on this feedback.},
added-at = {2009-06-03T11:20:58.000+0200},
author = {Thul, R. and Falcke, M.},
biburl = {https://www.bibsonomy.org/bibtex/26e6ea43b65c4f8f4264cdc6adf07a6f4/hake},
description = {The whole bibliography file I use.},
doi = {10.1088/1478-3967/2/1/007},
institution = {Hahn-Meitner Institut, Abteilung Theorie, Glienicker Str. 100, D-14109
Berlin, Germany.},
interhash = {bf1a69fde3674f3f09ce623fc4ab7646},
intrahash = {6e6ea43b65c4f8f4264cdc6adf07a6f4},
journal = {Phys. Biol.},
keywords = {1,4,5-Trisphosphate Animals; Biological; Biophysics; Calcium Calcium; Cell Channels; Chemical; Diffusion; Inositol Membrane; Models, Oscillometry; Processes Receptors; Signaling; Statistical; Stochastic Theoretical;},
month = Mar,
number = 1,
pages = {51--59},
pii = {S1478-3967(05)86610-0},
pmid = {16204857},
timestamp = {2009-06-03T11:21:34.000+0200},
title = {Reactive clusters on a membrane.},
url = {http://dx.doi.org/10.1088/1478-3967/2/1/007},
volume = 2,
year = 2005
}