TY - GEN
T1 - Spatial Structures Induced by Chemical Reactions at Interfaces
T2 - Survey of some Possible Models and Computerized Pattern Analysis
AU - Kagan, M. L.
AU - Peleg, S.
AU - Meisels, E.
AU - Avnir, D.
PY - 1984
Y1 - 1984
N2 - According to the theories of far-from-equilibrium thermodynamics three types of homogeneity breaking are possible: spatial, temporal, and spatio-temporal.1 The latter two are well known in purely chemical systems, e.g. bromate oscillators2 and wave oxidations3, both having their parallels in biochemistry, e.g. the glycolytic cycle4, and slime-mold aggregation5. However the most abundant class of biological structures, namely spatial structures, are relatively unexplored in chemistry6,7 (Liesegang precipitation phenomenon being an exception8). We present the following experimental results for a system that couples a chemical reaction to physical parameters to produce spontaneous pattern formation from initially homogeneous states. A complete model of the mechanism is still under investigation but it is clear at this preliminary stage that one is dealing with a system that is open to an analysis involving instabilities, perturbations and bifurcations. Some partial models are discussed below, some of which were also experimentally tested.
AB - According to the theories of far-from-equilibrium thermodynamics three types of homogeneity breaking are possible: spatial, temporal, and spatio-temporal.1 The latter two are well known in purely chemical systems, e.g. bromate oscillators2 and wave oxidations3, both having their parallels in biochemistry, e.g. the glycolytic cycle4, and slime-mold aggregation5. However the most abundant class of biological structures, namely spatial structures, are relatively unexplored in chemistry6,7 (Liesegang precipitation phenomenon being an exception8). We present the following experimental results for a system that couples a chemical reaction to physical parameters to produce spontaneous pattern formation from initially homogeneous states. A complete model of the mechanism is still under investigation but it is clear at this preliminary stage that one is dealing with a system that is open to an analysis involving instabilities, perturbations and bifurcations. Some partial models are discussed below, some of which were also experimentally tested.
U2 - 10.1007/978-3-642-45589-6_13
DO - 10.1007/978-3-642-45589-6_13
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SN - 978-3-642-45589-6
T3 - Lecture Notes in Biomathematics
SP - 146
EP - 156
BT - Modelling of Patterns in Space and Time
A2 - Jäger, Willi
A2 - Murray, James D.
PB - Springer Berlin Heidelberg
CY - Berlin, Heidelberg
ER -