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Spatiotemporal Complexity of Plankton and Fish Dynamics

SIAM Review, 2002
Summary: Nonlinear dynamics and chaotic and complex systems constitute some of the most fascinating developments of late twentieth century mathematics and physics. The implications have changed our understanding of important phenomena in almost every field of science, including biology and ecology.
Alexander B. Medvinsky, Sergei V. Petrovskii, Irene A. Tikhonova, Horst Malchow, Bai-Lian Li   +4 more
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Spatiotemporal chaos from bursting dynamics

Journal of Chemical Physics, 2015
In this paper, we study the emergence of spatiotemporal chaos from mixed-mode oscillations, by using an extended Oregonator model. We show that bursting dynamics consisting of fast/slow mixed mode oscillations along a single attractor can lead to ...
Igal Berenstein, Yannick De Decker
exaly   +2 more sources

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The dynamics of spatiotemporal modulations

Chaos: An Interdisciplinary Journal of Nonlinear Science, 1995
The modulational instability of traveling waves is often thought to be a crucial point in the mechanism of transition to space–time disorder and turbulence. The aim of this paper is to study the effect of spatiotemporal modulations on some dynamics u0(x,t), which may occur as an instability process when a control parameter varies, for instance.
Aubry, Nadine, Lima, Ricardo
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Spatiotemporal Dynamics in Marginal Populations

The American Naturalist, 2006
Population dynamics across a mortality gradient at an ecological margin are investigated using a novel modeling approach that allows direct comparison of stochastic spatially explicit simulation results with deterministic mean field models. The results show that demographic stochasticity has a large effect at population margins such that density ...
Antonovics, J., McKane, A. J., Newman, T. J.   +2 more
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Spatiotemporal Saliency in Dynamic Scenes

IEEE Transactions on Pattern Analysis and Machine Intelligence, 2010
A spatiotemporal saliency algorithm based on a center-surround framework is proposed. The algorithm is inspired by biological mechanisms of motion-based perceptual grouping and extends a discriminant formulation of center-surround saliency previously proposed for static imagery. Under this formulation, the saliency of a location is equated to the power
Vijay Mahadevan, Nuno Vasconcelos
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Spatiotemporal representation of dynamic objects

Proceedings of IEEE Conference on Computer Vision and Pattern Recognition, 2002
A new representation of dynamic scene objects to facilitate the compression and indexing of image sequences is presented. Exploiting the spatiotemporal (ST) piecewise-continuity of visual cues, the dynamic scene objects are represented as a collection of motion discontinuities.
P. Robert Hsu, Hiroshi Harashima
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Spatiotemporal Dynamics of HIV Propagation

Journal of Theoretical Biology, 2002
Although viral propagation is a localized process, mathematical models of viral replication kinetics have been limited to systems of ordinary differential equations describing spatially averaged behavior. In this paper, we introduce a cellular automaton model of viral propagation based on the known biophysical properties of HIV.
M C, Strain, D D, Richman, J K, Wong, H, Levine   +3 more
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Spatiotemporal Sampling of Dynamic Environment Sequences

IEEE Transactions on Visualization and Computer Graphics, 2011
Environment sampling is a popular technique for rendering scenes with distant environment illumination. However, the temporal consistency of animations synthesized under dynamic environment sequences has not been fully studied. This paper addresses this problem and proposes a novel method, namely spatiotemporal sampling, to fully exploit both the ...
Liang Wan, Shue Kwan Mak, Tien-Tsin Wong, Chi-Sing Leung   +3 more
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A Simplified Model of Spatiotemporal Population Dynamics [PDF]

Environment and Planning A: Economy and Space, 1985
The paper is a development of the Hotelling model of population growth and migration. In the original model, a logistic growth term is combined with linear diffusion. Since man produces his own means of subsistance and himself decides which standard of living per capita is desirable, the ‘saturation’ population cannot be regarded as a constant, and ...
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SPATIOTEMPORAL DYNAMICS IN A MODEL OF IMMUNODOMINANCE

Journal of Biological Systems
Adapative immune response to viral infection is mediated by cytotoxic T-lymphocytes (CTLs) eliminating infected cells and virus-neutralizing antibodies produced by B-lymphocytes. Different epitopes, that is, some parts of antigens, stimulate clonal expansion of the corresponding lymphocytes.
NAYANA MUKHERJEE, VITALY VOLPERT
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