Mathematical modeling of fluid movement in the brain during sleep

The group of mathematical modeling within the framework of the Project focuses on the problems of a complex model-theoretical analysis of physiological mechanisms. The scientific approach is based on the fact that various processes such as the elimination of harmful metabolites from the brain parenchyma, auto-regulation of cerebral blood flow, changes in the brain activity during the sleep-wake cycle, are mediated by the same multifunctional cellular “device”, known as neurovascular unit, which includes cortical neurons, astrocytes, as well as capillaries, arterioles and venules of the vascular network of the parenchyma. For example, it has been shown that astrocytes change their state depending on the ionic composition of the extracellular space even in the absence of neural activity, and they themselves, in turn, regulate the sleep-wake cycle. The intencity of transport of substances in the parenchyma significantly depends on the current volume of the extracellular space, which, as it turns out, can quickly change depending on the activity of cell structures.

Quantitative mathematical modeling is a powerful research tool that allows one to bring together heterogeneous experimental data and ideas to assess the adequacy of existing and the development of new hypotheses.

The group of mathematical modeling has both a wide experience in developing multidimensional quantitative mathematical models of physiological processes, as well as in creating original scientific software products, including:

  • A program for calculating the electrical transfer function of the cell layers of the vascular wall, certificate No. 2009664060 from 10.30.2019;
  • A program for the quantification of molecular transfer in the brain parenchyma, certificate No. 2019665864 dated 12/02/2019;
  • "Localizer of violations of the barrier function of blood vessels", certificate No. 198660761 dated 08/28/2018
  • "VascuNet", certificate No. 2017661135 dated 04/10/2017.