ALL SHADES OF LIFE WITH CANCER THROUGH A MODEL BASED ON PRINCIPLE OF MECHANICS
Abstract: In this paper, we propose a mathematical model representing immune-cancer cell interactions based on the principle of a mechanical system. The main assumption that leads to model formulation is that each cell population has a constant threshold value and the acceleration or deceleration of one cell population is directly proportional to the deviation of the other cell population from its threshold value. The closed form solution of the model is given, and it depicts almost all possible patterns of life of a cancer patient. This includes eradication of cancer, survival with cancer or sure-death by cancer. For a situation when immune system fails, a treatment schedule by immunotherapy is suggested. The model although devised for immune-cancer cell interactions can be applied to any disease (bacterial, viral etc.) in which immune cells play important role. Finally, it is proposed that clinically observed data can be directly related to model parameters.
Key words: Mechanical system; Immune cells; Cancer cells; immunotherapy; Oscillations.
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