Modeling cancer growth and its treatment by means of statistical mechanics entropy

. In this paper, we have modeled cancer growth and its treatment based on nonextensive entropies. To this end, five nonextensive entropies are employed to model the cancer growth. The used entropies are Tsallis, Rényi, Landsberg-Vedral, Abe and Escort. First, we have proposed the growth of cancer tu...

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Bibliographic Details
Published in:European physical journal plus 2016-08, Vol.131 (8), p.291, Article 291
Main Authors: Khordad, R., Rastegar Sedehi, H. R.
Format: Article
Language:English
Subjects:
Applied and Technical Physics
Atomic
Cancer
Complex Systems
Condensed Matter Physics
Entropy
Mathematical and Computational Physics
Mathematical models
Modelling
Molecular
Optical and Plasma Physics
Parameters
Physics
Physics and Astronomy
Regular Article
Statistical mechanics
Theoretical
Tumors
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Summary:. In this paper, we have modeled cancer growth and its treatment based on nonextensive entropies. To this end, five nonextensive entropies are employed to model the cancer growth. The used entropies are Tsallis, Rényi, Landsberg-Vedral, Abe and Escort. First, we have proposed the growth of cancer tumor as a function of time for all the entropies with different nonextensive parameter q . When the time passes, the entropies show a bounded growth for cancer tumor size. The speed of tumor size growth is different for all the entropies. The Tsallis and Escort ones have highest and lowest speed, respectively. For , the Escort entropy cannot predict a bounded growth for cancer tumor size. Then, we have investigated the cancer tumor treatment by adding a cell-kill function to the evolution equation. For , a constant cell-kill function is unable to reduce the cancer tumor size to zero for all the entropies. But, for , a cell-kill term is a suitable case. According to the results, it is found that the nonextensive parameter q , type of entropy, and cell-kill function are important factors for modeling the cancer growth and its treatment.
ISSN:2190-5444
2190-5444
DOI:10.1140/epjp/i2016-16291-3