TheoreticalModelₒfVorticalDynamicsₒfCSF

This work proposes a theoretical model of cerebrospinal fluid (CSF) dynamics based on the hypothesis that fluid circulation results from mechanically distributed couplings along the craniospinal axis. Anatomical asymmetries, respiration, cardiac pulsations, and meningeal structures are considered factors capable of modulating, orienting, or constraining the organization of flow. Objective The goal is not to establish a definitive physiological proof, but to build a conceptual and modeling framework capable of describing phenomena of torsion, mixing, impedance, and systemic coherence. Results from dynamic CSF imaging indicate that these movements are sensitive to respiration and spinal canal geometry, which supports an integrated mechanical approach. Scope and limitations This model does not claim to demonstrate a final theory. It provides a coherent interpretive framework linking anatomy, mechanics, and fluid dynamics, designed to make hypotheses testable that would otherwise remain purely descriptive. Experimental validation through 4D flow MRI, respiratory comparisons, and postural analyses are envisioned as natural extensions of this work. Version 2 — what changed All state variables (vf, theta, vᵥenous, Z, Z0) are now defined with physical units and experimentally accessible measurement methods. References have been completed and updated (5 peer-reviewed sources). The Python model file includes 5 reproducible example runs. Author: Karl Julien Iai. Ach. (Julien Karlia) https: //julienkarlia. odoo. com/ Status: Exploratory theoretical model Reference: INPI AxeSaros V024022026 DOI: 10. 5281/zenodo. 19428740