Abstract
Nitric Oxide (NO) is a diffusible molecule that is involved in many key signaling processes within the brain, notably the regulation of cerebral blood flow and pressure. NO is produced within neurons, endothelial cells, and red blood cells, but is only activated within the endothelial cells by the shear stress at the blood-endothelium interface. Because of the NO significance to brain functionality, various mathematical models of NO behavior have been proposed in literature. However, most of these models do not thoroughly incorporate the NO production in the endothelium through mechanotransduction. In a recent paper, we proposed a mathematical model to describe the steady-state behavior of NO in the brain that accounts for the shear-induced endothelial NO production and the Poiseuille-like flow of blood. In this paper we expand upon this model by introducing a deformable vascular wall and pulsatile blood flow. The arterial wall is modeled as a Maxwell linear viscoelastic material. Numerical simulations will show the mechanical effects on the spatio-temporal distribution of NO.
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Tamis, A., Drapaca, C.S. (2021). A Mathematical Model of Nitric Oxide Mechanotransduction in Brain. In: Notbohm, J., Karanjgaokar, N., Franck, C., DelRio, F.W. (eds) Mechanics of Biological Systems and Materials & Micro-and Nanomechanics & Research Applications. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham. https://doi.org/10.1007/978-3-030-59765-8_6
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