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Machine learning for cerebral blood vessels' malformations

arXiv 2411.16349 ↗First posted 25 Nov 2024cs.LG cond-mat.stat-mech q-bio.QMcited by 0

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Abstract (arXiv)

Cerebral aneurysms and arteriovenous malformations are life-threatening hemodynamic pathologies of the brain. While surgical intervention is often essential to prevent fatal outcomes, it carries significant risks both during the procedure and in the postoperative period, making the management of these conditions highly challenging. Parameters of cerebral blood flow, routinely monitored during medical interventions or with modern noninvasive high-resolution imaging methods, could potentially be utilized in machine learning-assisted protocols for risk assessment and therapeutic prognosis. To this end, we developed a linear oscillatory model of blood velocity and pressure for clinical data acquired from neurosurgical operations. Using the method of Sparse Identification of Nonlinear Dynamics (SINDy), the parameters of our model can be reconstructed online within milliseconds from a short time series of the hemodynamic variables. The identified parameter values enable automated classification of the blood-flow pathologies by means of logistic regression, achieving an accuracy of 73 %. Our results demonstrate the potential of this model for both diagnostic and prognostic applications, providing a robust and interpretable framework for assessing cerebral blood vessel conditions.

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References · 12

  1. 2017Sparse identification of nonlinear dynamics for model predictive control in the low-data limitcited by 140
  2. 2021Ensemble-SINDy: Robust sparse model discovery in the low-data, high-noise limit, with active learning and controlcited by 135
  3. 2020SINDy-PI: A Robust Algorithm for Parallel Implicit Sparse Identification of Nonlinear Dynamicscited by 125
  4. 2018A high-bias, low-variance introduction to Machine Learning for physicistscited by 108
  5. 2021PySINDy: A comprehensive Python package for robust sparse system identificationcited by 88
  6. 2018On the Convergence of the SINDy Algorithmcited by 49
  7. 2021Discovery of Nonlinear Dynamical Systems using a Runge-Kutta Inspired Dictionary-based Sparse Regression Approachcited by 36
  8. 2021DySMHO: Data-Driven Discovery of Governing Equations for Dynamical Systems via Moving Horizon Optimizationcited by 19
  9. 2021A toolkit for data-driven discovery of governing equations in high-noise regimescited by 15
  10. 2024Rapid Bayesian identification of sparse nonlinear dynamics from scarce and noisy datacited by 15
  11. 2023Data-driven reduced-order modelling for blood flow simulations with geometry-informed snapshotscited by 6
  12. 2022A Priori Denoising Strategies for Sparse Identification of Nonlinear Dynamical Systems: A Comparative Studycited by 5

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