Vortical Dynamics of CSF: The Mechanical Model — A Distributed Mechanical Framework for Human Cerebrospinal Fluid Dynamics (Version 5.4)

Description Cerebrospinal fluid (CSF) dynamics arise from the interaction between physiological forcing and a spatially heterogeneous craniospinal mechanical environment. Vortical Dynamics of CSF: The Mechanical Model proposes a distributed mechanical framework for describing and experimentally investigating this interaction across respiratory, cardiac, vascular, anatomical, and mechanical scales. Version 5.4 provides the complete theoretical and computational reference framework, centered on four principal physical quantities: 3D CSF velocity field — v(x,t)v(x,t) Distributed flow-asymmetry field — A(x,t)A(x,t) Vorticity field — ω(x,t)=∇×v(x,t)ω(x,t)=∇× v(x,t) Frequency-dependent mechanical impedance — Z(ω)Z(ω), with a real-valued effective representation ZeffZeff A derived coherence index CC and a dimensionally consistent normalized dynamic state variable Ψ(τ)Ψ(τ) complete the representation. The framework explicitly distinguishes velocity asymmetry from true rotational flow. It proposes that distributed anatomical and mechanical asymmetries produce spatially organized velocity asymmetries and, where permitted by geometry and boundary conditions, secondary rotational flow components. A specific original anatomical hypothesis concerns right-dominant thoraco-abdominal anatomy, including the liver and right subdiaphragmatic region, as a potential contributor to spatial organization of CSF flow. This hypothesis is presented as testable and not as an established anatomical fact. The model is accompanied by nine pre-specified testable predictions (P1–P9) designed to permit experimental confirmation, refinement, or falsification of its principal mechanical propositions. Key Features & Deposit Contents Theoretical frameworkComplete formulation of the distributed mechanical model, its variables, relationships, assumptions, and predictions. Python computational pipeline (pipeline_v54.py)Open-source reference implementation for processing time-resolved 3D velocity data, calculating distributed flow asymmetry and vorticity, estimating effective mechanical impedance, computing the coherence index CC, and evaluating the normalized dynamic state variable ΨΨ. Pre-specified analytical protocol (protocol_v54.txt)Defines the analytical procedure, parameters, thresholds, and decision rules prior to pathological cohort inspection. High-resolution vector diagramsVisual representations of the proposed mechanical architecture, anatomical organization, and prediction matrix. Synthetic validation testsInternal computational tests addressing mathematical bounds, vorticity behavior, impedance representation, and dynamic-state formulation. Scientific Scope This deposit presents a mechanical and computational framework for experimental investigation of CSF dynamics. It explicitly distinguishes: established physiological and anatomical observations, derived mathematical quantities, proposed mechanical relationships, the original anatomical hypothesis, and experimentally testable predictions. The framework does not present the proposed anatomical hypothesis or the complete integrated model as clinically established. The intended structure is: theoretical model → measurable variables → computational implementation → pre-specified analytical protocol → experimental predictions → falsification criteria The proposed framework is designed to be compatible with experimental approaches including time-resolved 4D Flow MRI and synchronized physiological measurements. Version & Reference Version: 5.4Current DOI: 10.5281/zenodo.22229743Previous reference / historical anchor: 10.5281/zenodo.20323393INPI Reference: AxeSaros V024022026 © August 2026 — Karl Julien Iaiche Achour & Julien Karlia Authors / Creators contactjulien.karl@gmail.com