Научная статья на тему 'Synchronization in Multiplex Glial-Neural Networks'

Synchronization in Multiplex Glial-Neural Networks Текст научной статьи по специальности «Фундаментальная медицина»

CC BY
101
39
i Надоели баннеры? Вы всегда можете отключить рекламу.
i Надоели баннеры? Вы всегда можете отключить рекламу.
iНе можете найти то, что вам нужно? Попробуйте сервис подбора литературы.
i Надоели баннеры? Вы всегда можете отключить рекламу.

Текст научной работы на тему «Synchronization in Multiplex Glial-Neural Networks»

XXIII Congress of I.P. Pavlov Physiology Society

of Rho-associated protein kinase (ROCK, Y-27632). Importantly, ROCK inhibition also reduced epileptiform activity, indicating that rapid astrocyte morphology changes support epileptic activity. A modification of glutamatergic or GAB-Aergic synaptic transmission did not underlie the preconvulsive effect of astrocyte morphology changes. Instead, we observed that intracellular diffusion in astrocytes and diffusion between astrocytes via gap junctions were significantly decreased in parallel to morphology changes. The reduced astrocyte gap junction coupling is likely a consequence of reduced intracellular diffusion because no changes of connexin 43 and 30 expression and phosphorylation were observed. Thus, astrocytes respond to epileptic activity with morphology changes on a time scale of minutes, which reduces intra-and intercellular diffusion in the astrocyte network and supports further epileptic activity. A faster glutamate accumulation, which we detected using the glutamate sensor iGluSnFR after induction of epileptiform activity may link astrocyte remodeling and maintenance of epileptiform activity.

OM&P

Synchronization in Multiplex Glial-Neural Networks

Sergey Makovkin, Mikhail Ivanchenko, Sarika Jalan and Alexey Zaikin

Lobachevsky State University of Nizhni Novgorod, Nizhny Novgorod, Russian Federation;

In work we investigate impact of the glial cells activities on synchronizability of neural cells in multiplex networks framework. Connections among the «glial» cells form a regular star like periodical structure in which each cell is connected to the four other neighbour cells whereas connections, among «neural» cells are represented by an Erdos-Renyi random network with average quantity connections is equal by four.

A multiplex network in which one layer represents interactions among the glial cells and the other layer represents those of neural cells is taken. Connections among the glial cells form a regular star like periodical structure in which each cell is connected to the four other neighbour cells whereas connections, among neural cells are represented by an Erdos-Renyi random network with average quantity connections is equal by four. Inter-layer links are such that each node in the neural layer is connected to its mirror in glial layer and all the four neighbours of the mirror node. The dynamical evolution of the oscillator nodes in this multiplex network is given by the coupled Kuramoto model.

At first case we focus on the case when neural and glial layers are not coupled. Our aim is twofold: we want to capture the effect of network topology on synchronization and study size dependence. The main results in case of uncoupled layers are here:

- Kuramoto order parameter r in neural layer does not depend from layer size and has classical Kuramoto like behaviour ("all-to-all" links).

- In glial layer Kuramoto order parameter strongly depends from layer size: r_glial decrease due to layer size increasing .

- In limit N -> Inf parameter r_glial -> 0, that correspond to 1-D nodes chains (they has no mean field) .

At second case neural and glial layers are coupled. We can conclude several points about synchronization case:

- Mean field in glial layer is born with the interaction of neural layer.

- There is partial desynchronization in glial and neuron layers.

- There is abrupt transition to synchronization.

The work is supported by the RSF (Agreement №. 16-12-00077).

References

1. J. Gardenes, Y. Moreno and A. Arenas Phys. Rev. Lett. 98, 034101 (2007).

2. S. Jalan and A. Singh, 113, 3 (2016).

3. J. Gardenes, Y. Moreno and A. Arenas Phys. Rev. E 75, 066106 (2007).

6 Opera Med Physiol 2017 Vol. 3 (S1)

i Надоели баннеры? Вы всегда можете отключить рекламу.