Theoretical_Model_of_Vortical_Dynamics_of_CSF

Mechanical Coupling, Respiration, and Systemic Coherence This repository contains exploratory research aimed at modeling the dynamics of Cerebrospinal Fluid (CSF) as a structured flow system. Rather than viewing the cranio-spinal system as a passive conduit, this model analyzes it as a mechanical waveguide whose coherence is modulated by anatomical asymmetries, respiration, and cardiac pulsations. Repository Contents Theoretical_Model_of_Vortical_Dynamics_of_CSF.pdf: The full manuscript detailing the theoretical framework, working hypotheses, interpretation of the spinal system, and clinical validation perspectives. model.py: A Python script implementing the heuristic propagation equation used to simulate the dynamic flow signature ($\Psi$). README.md: Technical documentation of the project. Mathematical Model The dynamics are governed by a discrete propagation equation that simulates the impact of mechanical resistances on the global coherence of the system: $$\Psi_{i}(t + \Delta t) = \Psi_{i}(t) + \frac{v_{i}(1 + \theta_{i}) + v_{veineux,i} \cdot 0.5}{1 + Z_{i}/10} \cdot \Delta t$$ Key Variables: $\Psi$: State parameter representing the dynamic flow signature. $\theta$: Torsion coefficient derived from anatomical asymmetries. $Z$: Mechanical impedance index (representing myofascial tension zones). $v_{veineux}$: Hydraulic coupling component. User Guide Requirements Python 3.9+ NumPy Author: Karl Julien Iai.Ach. (Julien Karlia) Status: Exploratory theoretical model Reference: INPI AxeSaros V024022026 DOI: 10.5281/zenodo.19428740