Dynamic Fractional-Order Computational Modeling of Lung Cancer: A Hybrid Biomechanical–Therapy Framework

Articles in Press

Document Type : Research Paper

Authors
Shubham Ashok Ambhore 1
Navneet Kumar Lamba 2
1 Research Scholar, Post Graduate Teaching Department of Mathematics, Rashtrasant Tukadoji Maharaj Nagpur University, Nagpur, Maharashtra, India
2 Department of Mathematics, Shri Lemdeo Patil Mahavidyalaya, Mandhal, Rashtrasant Tukadoji Maharaj Nagpur University, Nagpur, Maharashtra, India
10.22055/jacm.2026.49360.5917
Abstract
Innovative computational biomechanics approaches are required to optimize the fractional dynamical behavior of non-small-cell lung cancer (NSCLC), which is one of the leading causes of cancer-related mortality on a global scale. This study presents a comprehensive fractional-order computational dynamical system describing the biomechanical interactions among tumor cells, cytotoxic CD8+ T lymphocytes, and dendritic cells. The model is formulated as a set of nonlinear differential equations, and the memory effect and anomalous biological processes are introduced via the complex He transform. The equilibrium and stability analyses have provided critical values- for example, a basic reproduction number that governs the persistence or elimination of the tumor. The treatment model is a hybrid system, which entails continuous immune-tumor interactions and discrete therapeutic events. Computer modeling shows that, in cases of early surgical intervention followed by periodic chemotherapy, tumor burden decreases and the immune response is boosted. The results highlight the potential of mathematical modeling to enhance our comprehension of tumor–immune–therapy dynamics in NSCLC and to guide customized treatment planning.
Keywords
Non-small-cell Lung cancer
Fractional-order dynamics
Computational intervention dynamics and fractional control dynamics
Basic reproduction number
Subjects

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Journal of Applied and Computational Mechanics

Articles in Press, Corrected Proof
Available Online from 04 July 2026