Dynamics of the brain extracellular matrix governed by interactions with neural cells
Ivan Lazarevich, Sergey Stasenko, Maia Rozhnova, Evgeniya, Pankratova, Alexander Dityatev, Victor Kazantsev

TL;DR
This paper presents a mathematical model of neuron-ECM interactions in the brain, revealing various dynamic regimes such as bistability and oscillations, which depend on underlying biophysical mechanisms.
Contribution
It introduces a novel mathematical framework to describe activity-dependent ECM dynamics influenced by neuronal interactions.
Findings
Different ECM dynamical regimes identified, including bistability and oscillations.
ECM activity can switch between stable and oscillatory states.
Model highlights the role of biophysical mechanisms in ECM regulation.
Abstract
Neuronal and glial cells release diverse proteoglycans and glycoproteins, which aggregate in the extracellular space and form the extracellular matrix (ECM) that may in turn regulate major cellular functions. Brain cells also release extracellular proteases that may degrade the ECM, and both synthesis and degradation of ECM are activity-dependent. In this study we introduce a mathematical model describing population dynamics of neurons interacting with ECM molecules over extended timescales. It is demonstrated that depending on the prevalent biophysical mechanism of ECM-neuronal interactions, different dynamical regimes of ECM activity can be observed, including bistable states with stable stationary levels of ECM molecule concentration, spontaneous ECM oscillations, and coexistence of ECM oscillations and a stationary state, allowing dynamical switches between activity regimes.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsMathematical Biology Tumor Growth
