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MATHEMATICAL MODELLING OF PAIN PROGRESSION USING DIFFERENTIAL EQUATIONS

Author Information
Name: Riddhi H Chawla, Renu Pathak
Country: India
Publication Details
Year: 2025
Volume: Volume-12, Issue-1 (January-June)
Page Number: 67-77
DOI: https://doi.org/10.5281/zenodo.15674138
Abstract
Pain progression is a critical area of study for understanding patient recovery and optimizing post-operative care. This research utilizes differential equations to model the dynamics of pain progression in patients, aiming to provide predictive insights that can enhance personalized pain management strategies. Focusing on key variables such as pain intensity, duration of pain, inflammation markers, and recovery timelines in TKR patients. The proposed differential equation model integrates these clinical parameters to capture the trajectory of pain over time, incorporating factors such as tissue healing, inflammation response, and nerve sensitization., the model aims to reveal patterns and trends in pain progression, enabling healthcare providers to better understand the factors influencing recovery. This study evaluates the efficacy of the differential equation model in predicting pain trends, providing valuable insights into post-operative care. The findings may contribute to improved clinical practices by informing pain management protocols, thereby enhancing patient outcomes and quality of life.
Keywords: Differential Equation, Pain Progression, TKR surgery
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