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Volga Neuroscience School 2016 Astroglial control of rhythm genesis in the brain Future plans and conclusions
Alzheimer's disease (AD) and aging are resulting in impaired ability to store memories, but the mechanisms responsible for these defects are poorly understood. It is known that electrophysiological response of mutant mouse neuron cultures in case of electrical stimulation results in significant decrease in frequency of action potentials [7]. Our future plans include use of optogenetics in slices and live animals from AD models. For these purposes we want to use the prototype of our optrode. Our future plans also include using the device in long-term experiments on the spinal cord motor neurons stimulation using optogenetic techniques.
Acknowledgments
This work was supported by the state grant 17.1360.2014/^ by the Russian Scientific Fund grant 14-25-00024: The financial support was divided in the following way: experiments depicted on Figure 1 was supported by the state grant 17.1360.2014/^ experiments depicted on Figure 2 was supported by the Russian Scientific Fund grant.
References
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7. Zhang H, Jie Liu J, Sun S, Pchitskaya E, Popugaeva E and Bezprozvanny I2015Journal of Alzheimer's Disease (45) 561
Complex Behaviour in Cyclic Competition Bimatrix Games
Cezary Olszowiec*
Departament de Fisica, Universitat Politecnica de Catalunya, Terrassa, Barcelona, Spain. * Presenting e-mail: c.olszowiec14@imperial.ac.uk
We consider an example of cyclic competition bimatrix game which is a Rock-Scissors-Paper game with perfect memory of the playing agents.
At first we investigate the dynamics in the neighbourhood of the Nash equilibrium as well as the dynamics on the boundary of codimension 1 - that is when one of the strategies is not played by any agent.
For the analysis of asymptotic behaviour close to the boundary, we provide the description of naturally appearing heteroclinic network, with discretized dynamics in its neighbourhood. Quotient network is investigated as well and compared to the invalid models already considered in the literature. It turns out that certain types of behaviour are never possible or appear in the system only for some parameter values. Moreover, parameter space is divided into four regions where we observe either chaos, or preference to follow itinerary consisting of strategies for which one or the other agent do not lose, or they alternate in winning.
These regions are separated by two analytical curves and lines where game is either symmetric (system is not C1 linearisable) or is zero-sum (so the system is Hamiltonian).
On each of these curves we observe different bifurcation scenarions: e.g. transition from order to chaos, or from one kind of stability to other one, or just loss of one dimension of the local stable manifold of the subcycle.
OM&P
94 Opera Med Physiol 2016 Vol. 2 (S1)
