DOI: 10.14704/nq.2011.9.4.411

A Proposed Mathematical Model of Tumor Growth and Host Consciousness

Miroslaw Kozlowski, Janina Marciak-Kozlowska


In this paper a mathematical model for tumor growth based on a Boltzmann- type equation is formulated. The tumor growth factor is defined and the tumor cell density is calculated. It is shown that tumor evolution strongly depends on the growth factor k. For k<0.5 tumor density oscillates and the tumor is in the “hesitate” state. For k>0.5 the tumor loses the oscillatory character and grows abruptly and emits cells to the host body. We argue that the oscillation of tumor density creates tumor waves which can be coined as tumor conscious waves. The tumor waves “inform” host consciousness.


tumor; conscious; tumor waves; growth factor; density

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