Abstract
Recent progress in deciphering the molecular portraits of tumors promises an era of more personalized drug choices. However, current protocols still follow standard fixed-time schedules, which is not entirely coherent with the common observation that most tumors do not grow continuously. This unpredictability of the increases in tumor mass is not necessarily an obstacle to therapeutic efficiency, particularly if tumor dynamics could be exploited. We propose a model of tumor mass evolution as the integrated result of the dynamics of two linked complex systems, tumor cell population and tumor microenvironment, and show the practical relevance of this nonlinear approach.
Highlights
The dynamics of tumor mass increase are determinant for therapeutic efficacy
We considered the evolution of tumor mass as the net result of interplay between two complex systems: a ‘‘tumor cells’’ system (Cell) and a ‘‘tumor cell environment’’ system (Env)
Synchronization was obtained using another type of coupling, such as p1 proportional to the variable x of the Duffing equation, and again the Cell oscillator displayed bursts of fluctuations linked to the peaks of the controlling Env oscillator
Summary
The dynamics of tumor mass increase are determinant for therapeutic efficacy. Numerous mathematical models have been developed in attempts to elucidate the mechanisms underlying tumor mass dynamics. We considered the evolution of tumor mass as the net result of interplay between two complex systems: a ‘‘tumor cells’’ system (Cell) and a ‘‘tumor cell environment’’ system (Env).
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