Bifurcation analysis of multistability and oscillation emergence in a model of brain extracellular matrix

MA Rozhnova, EV Pankratova, SV Stasenko… - Chaos, Solitons & …, 2021 - Elsevier
Neurons release diverse molecules including proteoglycans and glycoproteins, which can
aggregate in the extracellular space and form the so-called extracellular matrix (ECM). The …

[HTML][HTML] Calcium concentration in astrocytes: Emergence of complicated spontaneous oscillations and their cessation

MS Sinitsina, SJ Gordleeva, VB Kazantsev… - Известия высших …, 2021 - cyberleninka.ru
The purpose of this work is to show the mechanisms of transitions between different dynamic
modes of spontaneous astrocytic calcium activity. With this aim, dynamics of recently …

Chaotic change of extracellular matrix molecules concentration in the presence of periodically varying neuronal firing rate

MA Rozhnova, DV Bandenkov, VB Kazantsev… - International Conference …, 2020 - Springer
Transmission and processing of information in the brain are highly complicated processes
that are defined by a lot of non-trivial interconnections of structural elements of neural …

Bistable Dynamics of the Brain Extracellular Matrix in the Presence of Periodically Varying Neuronal Activity

MA Rozhnova, VB Kazantsev… - 2021 5th Scientific …, 2021 - ieeexplore.ieee.org
In this work, the role of the amplitude and frequency of the periodically varying neuronal
firing rate in emergence of complicated dynamical modes in recently proposed mathematical …

Complicated Burst-type Oscillations of Astrocytic Spontaneous Calcium Concentration

MS Sinitsina, SY Gordleeva… - 2021 5th Scientific …, 2021 - ieeexplore.ieee.org
In this work, dynamics of recently introduced Lavrentovich-Hemkin mathematical model was
examined numerically. Complicated dynamical regimes were circumstantially studied by …