Научная статья на тему 'Modelling noise-induced escape problems in networks'

Modelling noise-induced escape problems in networks Текст научной статьи по специальности «Медицинские технологии»

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Текст научной работы на тему «Modelling noise-induced escape problems in networks»

Section DYNAMICS IN LIFE SCIENCES, NEUROSCIENCE APPLICATIONS WORKSHOP

OM&P

a) b)

Figure 1. Relationships between convergent thinking efficiency (CT) and arithmetic intelligence (IQar) (a) and between efficiency of divergent thinking (DT) and spatial intelligence (IQs) (b)

Different patterns of correlation between IQ and EEG characteristics, registered at the CT or DT were obtained. The right hemispheric delta rhythm during CT was negatively associated with IQar. The alpha 2 in DT correlated with IQs and verbal intelligence component (IQv), this negative relationship was shown for the activity and the left and right hemispheres. Negative correlations between IQv and bilateral alpha 2 were significant for the CT.

In line with the detected correlation between IQ and an efficiency of CT and DT on the one hand, or EEG correlates of these forms of thinking - on the other, it is possible to conclude that the degree of functional activation cortex varies depending on the intellectual abilities, and a large activation represents lower IQ. Hemispheric brain activity during DM associated with IQv and IQs whereas during CT - with IQar and IQv. These effects indicate that the different components of IQ modulated thinking strategies to achieve efficient execution of tasks of different types.

References

1. M. Benedek, et al., Neuropsychologia, 2014, 56, 393-400.

2. J.P. Guilford The nature of human intelligence. New York, 1967.

3. T. Harmony, T.Fernandez, and J. Silva, Intern. J. Psychophysiol., 1996, 24, 161-171.

4. E. Jauk, et al., Intelligence, 2013, 41(4), 212-221.

5. C. Martindale, D. Hines, Biol. Psychol., 1975, 3, 91-100.

6. S. Micheloyannis, Human Brain Mapping, 2009, 30, 200-208.

7. F. Preckel, H. Holling, and M. Wiesem, Pers. Individ. Differ., 2006, 40, 159-170.

Modelling Noise-Induced Escape Problems in Networks

J. L. Creaser*, P. Ashwin, K. Tsaneva-Atanasova

EPSRC Centre for Predictive Modelling in Healthcare, University of Exeter, Exeter, UK. * Presenting e-mail: j.creaser@exeter.ac.uk

Mathematical models of excitable cells, such as neurones, are often characterised by different dynamic regimes, such as alternating excited and rest states. The transient dynamics responsible for the transition between dynamic states are often discounted or overlooked. Analysis of the transition between dynamic states is crucial to understanding the evolution of epileptic seizures or the initiation of tremors associated with Parkinson's disease.

We consider a phenomenological model of seizure initiation of coupled bi-stable oscillators (represented by a sub-critical bifurcation normal form) with noise. Using dynamical systems analysis and numerical simulations we investigate emergent transient dynamics for small motif networks of this model. Specifically, we build small dynamically perturbed motif networks and consider the effect of network structure, noise and separation of timescales on the exit (escape)-time problem.

Opera Med Physiol 2016 Vol. 2 (S1) 41

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