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Quantifying the relationship between spreading depolarization and perivascular cerebrospinal fluid flow.
Saikat Mukherjee1,2, Mahsa Mirzaee3, Jeffrey Tithof3
1Department of Mechanical Engineering, University of Minnesota, Minneapolis, MN, 55455, USA. saikatm@iastate.edu.
Scientific Reports
|July 31, 2023
Summary
Spreading depolarization (SD) increases cerebrospinal fluid (CSF) flow in brain perivascular spaces (PVSs). Our model reveals CSF flow depends on PVS dimensions and SD wave characteristics, offering new insights into brain fluid dynamics.
Area of Science:
- Neuroscience
- Biophysics
- Computational Biology
Background:
- Spreading depolarization (SD) is an electro-chemical wave implicated in neurological conditions like stroke and migraine.
- Previous research suggests a link between SD events and increased cerebrospinal fluid (CSF) flow within the brain's perivascular spaces (PVSs).
Purpose of the Study:
- To develop and utilize a novel computational model that couples the dynamics of spreading depolarization (SD) with cerebrospinal fluid (CSF) flow.
- To quantitatively investigate how SD influences CSF flow through the perivascular spaces (PVSs).
Main Methods:
- Employed high-order numerical simulations to solve reaction-diffusion equations governing ionic dynamics during SD.
- Developed a 1D CSF flow model integrated with the SD model via an empirical relationship linking extracellular potassium concentration to vessel radius.
- Derived analytical expressions for CSF pressure and flow rates and analyzed scenarios involving colliding SD waves.
Main Results:
- Demonstrated that CSF volumetric flow rate is intricately dependent on PVS dimensions (length, width), vessel radius, and the angle of SD wave incidence.
- Quantified variations in CSF flow, particularly when two SD waves interact.
- Established analytical expressions for pressure and volumetric flow rates.
Conclusions:
- The developed computational model provides a quantitative framework for understanding the coupling between SD and CSF flow.
- Findings highlight the complex interplay of factors influencing brain fluid dynamics during SD events.
- The model's generality allows for future extensions to explore other neurophysiological phenomena impacting CSF flow.
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