A Hybrid Plant-Soil Electrical Analogy and Control Engineering Framework for Dynamically Modeling Cancer Cell Growth in an Elastic Environment

Abstract

This research introduces a novel approach to cancer cell growth modeling by integrating principles from the plant-soil analogy and control engineering. The proposed model offers a flexible alternative to traditional dynamic mathematical models, enabling simulations of tumor growth under therapeutic conditions. The simulator, operational on an annual basis, considers diverse patient characteristics and treatment approaches. Nonlinear simulation models provide a comprehensive comparison, showcasing trajectory and precision improvements relative to conventional time-dependent dynamic mathematical models. The study further proposes an elastic cancer modeling mechanism, exploring optimal drug dosage concentrations and patient resistance to cancer drugs. A dynamic model is introduced to identify optimal dosages and frequencies for cancer drugs, demonstrating enhanced operational flexibility through computer simulations. The proposed elastic modeling mechanism is validated through existing mathematical growth models, revealing its practical value within ethical constraints. This research offers a promising path for developing effective therapeutic strategies in cancer tumor growth.

Keywords

• Cancer cell growth modeling
• Plant-soil analogy
• Control engineering
• Dynamic mathematical models
• Tumor growth simulations
• Therapeutic conditions
• Nonlinear simulation models

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