ItemArticle

A dual-phase-lag mathematical framework with mechanics-informed machine learning for predicting ocular thermal risk under environmental heating

Title
A dual-phase-lag mathematical framework with mechanics-informed machine learning for predicting ocular thermal risk under environmental heating
Creator
Singhal, Abhinav; Tiwari, Rakhi; Saeed, Abdulkafi Mohammed; Seema; Chaudhary, Anjali; Vidushi; Das, Soumik
Description
Thermal damage to ocular tissues is a significant medical issue, as even minor increases in temperature can compromise corneal endothelial function, hasten cataract development, and disturb retinal metabolism. The aim of this study is to create a dependable model for forecasting temperature distributions in the human eye during external heat exposure, thereby facilitating safer therapeutic interventions, refined clinical risk evaluation, and improved environmental health surveillance. A dual-phase-lag (DPL) bioheat transfer framework with two relaxation times is created to capture the behavior of thermal waves that travel at a finite speed. Normal-mode analysis is then used to find closed-form analytical solutions for all six ocular layers. Parametric investigations measure the effects of things like temperature, evaporation, porosity, and perfusion. When compared to the LordShulman and Fourier models, DPL is clearly better at predicting thermal responses that are realistic for the body. Complementary thermal-safety mapping, sensitivity analysis, surrogate-model validation, and response-surface visualization offer enhanced engineering insights and expedited predictive capabilities. The study reveals that non-Fourier effects are essential in regulating peak temperatures, and tissue-level parameters substantially affect intraocular thermal loads. The model's limitations consist of axisymmetric geometry and temperature-independent material properties, which could be rectified in forthcoming three-dimensional or patient-specific investigations. This work offers a medically pertinent and computationally efficient methodology for ocular thermal safety, enhancing healthcare modeling, precision diagnostics, and protective measures for populations subjected to extreme thermal conditions. 2026 Wiley-VCH GmbH.
Source
ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik;Volume;106;Issue;2;Article No.;e70331;
Date
01-01-2026
Publisher
John Wiley and Sons Inc
Coverage
Singhal A., Christ University, Bengaluru, India; Tiwari R., University Department of Mathematics, Babasaheb Bhimrao Ambedkar Bihar University, Muzaffarpur, India; Saeed A.M., Department of Mathematics, College of Science, Qassim University, Buraydah, Saudi Arabia; Seema, Christ University, Bengaluru, India; Chaudhary A., Department of Management, College of Business Administration, Princess Nourah bint Abdulrahman University, Riyadh, Saudi Arabia; Vidushi, Christ University, Bengaluru, India; Das S., School of Physical Sciences, Amrita Vishwa Vidyapeetham, Mysuru Campus, Karnataka, India
Rights
All Open Access; Bronze Open Access
Relation
ISSN: 442267;
Format
online
Language
English
Type
Article

Citation

Singhal, Abhinav; Tiwari, Rakhi; Saeed, Abdulkafi Mohammed; Seema; Chaudhary, Anjali; Vidushi; Das, Soumik, “A dual-phase-lag mathematical framework with mechanics-informed machine learning for predicting ocular thermal risk under environmental heating,” CHRIST (Deemed To Be University) Institutional Repository, accessed June 21, 2026, https://archives.christuniversity.in/items/show/21827.

Output Formats