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Cryosurgery process applications - a mathematical review
L Famhawite1, S Tanwar2, P R Verma3
1Department of Mathematics, University of Delhi, Delhi, India. lfamhawite@maths.du.ac.in.
Cryo Letters
|August 10, 2024
Summary
This study reviews mathematical models for cryosurgery, a tumor treatment using controlled freezing. Numerical simulations aid physicians in planning cryosurgery, optimizing probe placement and freezing duration for effective tumor destruction with minimal healthy tissue impact.
Area of Science:
- Biomedical Engineering
- Mathematical Modeling
- Oncology
Background:
- Cryosurgery is a minimally invasive treatment for tumors.
- Accurate simulation is crucial for effective cryosurgery planning.
- Minimizing damage to surrounding healthy tissue is a key challenge.
Purpose of the Study:
- To review prominent mathematical models for cryosurgery simulation.
- To highlight the role of numerical simulations in treatment planning.
- To discuss numerical techniques for bio-heat transfer in cryosurgery.
Main Methods:
- Review of existing mathematical models for cryosurgery.
- Discussion of numerical simulation techniques.
- Analysis of bio-heat transfer processes in tumor tissues.
Main Results:
- Identified key mathematical models for cryosurgery simulation.
- Emphasized the utility of numerical simulations in treatment design.
- Highlighted the suitability of finite element, meshfree, and finite volume methods.
Conclusions:
- Mathematical models and numerical simulations are vital for cryosurgery.
- Effective planning frameworks can be developed using these simulations.
- Optimized treatment strategies enhance tumor destruction and preserve healthy tissue.

