Classification of cerebrovascular pathologies in real-time using nonlinear ODE-based surrogate model

Classification of cerebrovascular pathologies in real-time using nonlinear ODE-based surrogate model Full article

Journal

Journal of Inverse and Ill-Posed Problems
ISSN: 0928-0219

Output data

Year: 2026, DOI: 10.1515/jiip-2025-0028

Authors

Bugai Yuriy V. ¹ , Cherevko Alexander A. ^1,2 , Shishlenin Maxim A. ³

Affiliations

1	104674 Lavrentiev Institute of Hydrodynamics SB RAS , Prospect Akademika Lavrentjeva, 15, 630090 Novosibirsk , Russia
2	Department of Mathematics and Mechanics, Novosibirsk State University, Pirogova St., 2, 630090 Novosibirsk, Russia
3	Sobolev Institute of Mathematics SB RAS , A kad. Koptyug Avenue, 4, 630090 Novosibirsk , Russia

Funding (1)

Министерство науки и высшего образования Российской Федерации

FWGG-2021-0009

In this paper we consider the coefficient inverse problem for a second-order nonlinear ODE surrogate model describing hemodynamic parameters during intraoperative neurosurgical measurements. This mathematical model of cerebral hemodynamics is based on the generalized Van der Pol–Duffing equation and described the local interaction of the velocity and pressure of blood flow in cerebral vessels. For each patient, the coefficients of this equation are individual and are determined from clinical data in real-time by solving the coefficient inverse problem. We apply the gradient method for optimization of the cost functional with the analytical finding of initial guess to get the coefficients by clinical data obtained during neurosurgical operation in the vicinity of arterial pathologies. A good initial guess is based on the analytical Fourier method. Statistical analysis of clinical data has shown that the surrogate model equation is sensitive to different types of pathology, which allows intraoperative monitoring of the patient’s condition and assessment of the type of pathology in real time. Numerical results are presented and it is shown that the proposed mathematical model and numerical method predict clinical data well.

Bugai Y.V. , Cherevko A.A. , Shishlenin M.A.
Classification of cerebrovascular pathologies in real-time using nonlinear ODE-based surrogate model
Journal of Inverse and Ill-Posed Problems. 2026. DOI: 10.1515/jiip-2025-0028 WOS Scopus OpenAlex

Submitted:	Apr 17, 2025
Accepted:	Sep 8, 2025
Published online:	Oct 1, 2025

Web of science:	WOS:001584020300001
Scopus:	2-s2.0-105018186283
OpenAlex:	W4414633943

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