The hypothesis of self-organized criticality explains the existence of long-range "space-time" correlations, observed inseparably in many natural dynamical systems. A simple link between these correlations is yet unclear, particularly in fluctuations at an "external drive" timescale. As an example, we consider a class of sandpile models displaying nontrivial correlations. We apply the scaling method and determine spatial cross-correlation by establishing a relationship between local and global temporal correlations. We find that the spatial cross-correlation decays in a power-law manner with an exponent γ=1-δ, where δ characterizes a scaling of the total power of the global temporal process with the system size.
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http://dx.doi.org/10.1103/PhysRevE.104.064132 | DOI Listing |
bioRxiv
December 2024
Center for Virology and Vaccine Research, Beth Israel Deaconess Medical Center, Harvard Medical School, Boston, MA, United States.
The advent of spatial transcriptomics and spatial proteomics have enabled profound insights into tissue organization to provide systems-level understanding of diseases. Both technologies currently remain largely independent, and emerging same slide spatial multi-omics approaches are generally limited in plex, spatial resolution, and analytical approaches. We introduce IN-situ DEtailed Phenotyping To High-resolution transcriptomics (IN-DEPTH), a streamlined and resource-effective approach compatible with various spatial platforms.
View Article and Find Full Text PDFInt J Comput Assist Radiol Surg
January 2025
Department of Medical Biophysics, University of Toronto, Toronto, Canada.
Methods Mol Biol
December 2024
Simons Centre for the Study of Living Machines, National Centre for Biological Sciences, Tata Institute of Fundamental Research, Bangalore, India.
Fluorescence correlation spectroscopy (FCS) enables the measurement of fluctuations at fast timescales (typically few nanoseconds) and with high spatial resolution (tens of nanometers). This single-molecule measurement has been used to characterize single-molecule transport and flexibility of polymers and biomolecules such as DNA and RNA. Here, we apply this technique as dual-color fluorescence cross-correlation spectroscopy (dcFCCS) to identify the motor function of the tethering protein EEA1 and the small GTPase Rab5 by probing the flexibility changes through end-monomer fluctuations.
View Article and Find Full Text PDFLayer 4 of rabbit V1 contains fast-spiking GABAergic interneurons (suspected inhibitory interneurons, SINs) that receive potent synaptic input from the LGN and generate fast, local feed-forward inhibition. These cells display receptive fields with overlapping ON/OFF subregions, non-linear spatial summation, very broad orientation/directional tuning, and high spontaneous and visually-driven firing rates. Such fast-spike interneurons are also found in layer 5 (L5), which receives a much sparser input from the LGN, but the response properties and thalamocortical connectivity of L5 SINs are relatively unstudied.
View Article and Find Full Text PDFDuring walking, interlimb coordination involves the right and left legs working together to achieve a desired movement. Previously, dynamic treadmill walking has been shown to drive asymmetric gait changes in healthy young adults through selectively changing the speed of the whole treadmill. Currently, the coordination demands of this novel walking environment are unknown and must be understood prior to assessing dynamic treadmill walking in clinical populations.
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