Model order reduction and sensitivity analysis for complex heat transfer simulations inside the human eyeball

Area of Science:

• Ophthalmology
• Biomedical Engineering
• Heat Transfer

Background:

• Heat transfer significantly impacts ocular fluid dynamics and drug delivery.
• Experimental analysis of eye heat transfer is challenging.
• Understanding ocular thermal behavior is vital for therapeutic interventions.

Purpose of the Study:

• To develop a comprehensive 3D mathematical and computational model for simulating heat transfer in the human eyeball.
• To conduct a sensitivity analysis to identify key variables affecting ocular heat distribution.
• To ensure computational efficiency and accuracy through advanced model reduction techniques.

Main Methods:

• Development of a realistic 3D computational model of the human eye.
• Implementation of a fast model reduction technique with certified error bounds.
• Extensive sensitivity analysis to assess parameter impacts on heat distribution.

Main Results:

• The model accurately simulates heat transfer in ocular tissues, consistent with experimental data and literature.
• Blood flow and environmental conditions were identified as critical factors influencing internal eye temperatures.
• The model demonstrates high computational efficiency without sacrificing accuracy.

Conclusions:

• The developed model provides a robust tool for investigating temperature-related effects in ocular tissues.
• This research offers valuable insights for optimizing ophthalmic therapeutic strategies.
• The findings are crucial for advancing the field of ocular drug delivery and treatment.