Spatiotemporal dynamics

Sakaue-Sawano, A., Kurokawa, H., Morimura, T., Hanyu, A., Hama, H., Osawa, H., Kashiwagi, S., Fukami, K., Miyata, T. Miyoshi, H. et al. (2008). Visualizing spatiotemporal dynamics of multicellular cell-cycle progression. Cell 132, 487-98. 

Hirose K, Kadowaki S, Tanabe M, Takeshima H, lino M 1999 Spatiotemporal dynamics of inositol 1,4,5-trisphosphate that underlies complex Ca2+ mobilization patterns. Science... 

Abstract Investigation of spatiotemporal dynamics of optical pulse in step-index planar... 

In addition, the results presented in Fig. 31 show that, for a given the spatiotemporal dynamics of the pulse is more pronounced in a medium with the higher nonlinearity. For example, the value = 2 corresponds to Af = 1 (see Fig.4) and consequently Uj Iq = An 0.003 (here 7o is the axial value of the intensity at the pulse peak). This value corresponds to the maximum admissible peak intensity 7o 100 GW/cm of a femtosecond pulse that propagates in a silica waveguide with wk 10 cm /W. The... 

In this paper, spatiotemporal dynamics of non-stationary light beam propagating through the junctions of step-index nonlinear waveguides have been investigated. 

E.A. Romanova, L.A. Melnikov, Spatiotemporal dynamics of femtosecond pulses in non-linear optical waveguides with material dispersion , Optics and Spectroscopy 96, 90-95 (2004). 

Fig. 60. Spatiotemporal dynamics on a disk electrode with close and centric RE. (a) Potential drop across the double layer as a function of angular position on the disk (for a given intermediate radius) and time, (b) Potential on the disk working electrode at different times during one period of the oscillation. (Reprinted from A. Birzu, B. J. Green, R. D. Otterstedt, J. L. Hudson, N. I. Jaeger, Z. Phys. Chem. 216, 459 (2002) with permission from Oldenbourg Wissenschaftsverlag.)...

A large parameter range in which cluster patterns dominated the spatiotemporal dynamics was also observed for the oscillatory oxidation of H2 in the presence of electrosorbing cations and anions [175], Characteristically, the cluster-type patterns were found at lower concentrations of Cu2+ ions compared with the pulse-type motions shown in Fig. 56. Examples of two-phase and three-phase clusters are depicted in Fig. 63. In these figures the homogeneously oscillating mode has been subtracted. 

E. Scholl, Nonlinear Spatiotemporal Dynamics and Chaos in Semiconductors, Cambridge University Press, Cambridge (2001). 

Contreras D, Llinas R. 2001. Voltage-sensitive dye imaging of neocortical spatiotemporal dynamics to afferent activation frequency. J Neurosci 21 9403-9413. 

Sehatpour P, Molholm S, Javitt DC, Foxe JJ. 2006. Spatiotemporal dynamics of human object recognition processing An integrated high-density electrical mapping and functional imaging study of closure processes. Neuroimage 29 605-618. 

MitoGenesisDB http //www.dsimb. inserm. ff / dsimb tools /mitgene / Spatiotemporal dynamics of mitochondrial biogenesis... 

We presented the application of this method for the detection and analysis of autofluorescent molecules in living cells. In addition to autofluorescent molecules, fluorescence indicators for Ca2 +, pH, and so on may be unique targets for this method. In general, the fluorescence quantum efficiency of autofluorescence is much lower than that of the fluorescence of the indicators. Therefore, a technique for separating unknown fluorescent components with very different quantum efficiencies is essential. Simultaneous analysis of the spatiotemporal dynamics of autofluorescent molecules and fluorescence indicators would be a powerful approach for revealing complicated responses in living cells. 

Leinders-Zufall T, Rand MN, Shepherd GM, Greer CA, Zufall E 1997. Calcium entry through cyclic nucleotide-gated channels in individual cilia of olfactory receptor cells Spatiotemporal dynamics. J Neurosci 17 4136-4148. 

Results of experiments examining the spatiotemporal dynamics of DNA replication and transcription sites in one-cell embryos were also consistent with the presence of replication-dependent and replication-independent genes (Bouniol-Baly et al., 1997). DNA replication sites were detected by incorporation of digitoxin-modified dUTP (detected with antibodies to digitoxin) and transcription sites were detected by incorporation of BrUTP (detected with anti-BrdU antibodies) following microinjection of both of these nucleotides. While most of the transcription sites did not co-localize with replication sites, there were sites of colocalization. 

Before the model discussed above was published, tha-e were three other suggestions of how to model spatiotemporal dynamics in electrochemical systems. The first attempt at a theoretical description of electrochemical pattern formation came from Jome. His model is based on a chemical instability in the reaction mechanism and only takes into account the concentrations of the reacting species as dependent variables, not the potential. This, of course, means that the model is not applicable to any of the systems exhibiting an electrical instability. This includes the examples treated by Jome, namely, anion reduction reactions or cation reduction in the presence of SCN . Meanwhile, both oscillators are unanimously classified as NDR oscillators [see Section n.2.(ii)] and hence their spatiotemporal description requires a different approach. 

From a mathematical point of view, the treatment of spatiotemporal dynamics on disk electrodes is considerably more difficult than that of the (infinitesimally thin) ring electrode. Of course, on the one hand this is due to the additional spatial dimension. Since the direction into the electrolyte has also to be considered, the problem is spatially three-dimensional. However, even if this complication is neglected by considering, in a first step, only the radial and axial directions (i.e., neglecting possible structures in the azimuthal direction), solving the resulting partial differential equations is still a challenging task. This is due to the mixed boundary... 

Surface plasmon microscopy allows the recording of two-dimensional images of the potential distribution at the electrode and combines high temporal and spatial resolution with a nonperturbing nature. These properties, which are optimal for spatiotemporal dynamics studies, are confronted with two restraints. A quantitative analysis of the data is more... 

This constitutes a very interesting sequence of observations. As mentioned, Haim et al. reproduced this sequence in a model they proposed in order to model the spatiotemporal dynamics of Ni dissolution. Unfortunately, to the best of the present author s understanding, there is a problem with the boundary condition at the electrode and thus a definite explanation is not possible at this stage. 

The most clear-cut examples of the influence of an insulating boundary on spatiotemporal dynamics come from experiments on the dissolution of iron. In 1969, Pigeau and Kirkpatrick presented a sequence of images in which a wave could be seen that emerged at the rim of a disk-shaped electrode and propagated toward the center. These radially symmetric waves constituted passivation waves accompanying the decrease in current density during typical relaxation oscillations. 

G. Stegemann, A. G. Balanov, and E. Scholl Delayed feedback control of stochastic spatiotemporal dynamics in a resonant tunneling diode, Phys. Rev. E 73, 16203 (2006). 

Key words Confocal fluorescence microscopy, Forster resonance energy transfer, Total internal reflection fluorescence microscopy, Single-molecule imaging, GPCR, Heterotrimeric G-proteins, Spatiotemporal dynamics... 

Lukas, G., Falck, J., Bartkova, J., Bartek, J., and Lukas, J. (2003). Distinct spatiotemporal dynamics of mammalian checkpoint regulators induced by DNA damage. Nat. Cell Biol. 5, 255-260. 

---