2011/07/04 by Thomas Bose, Bose, Thomas, Steffen Trimper +1
Biochemistry, Genetics and Molecular Biology · Engineering · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Biological Physics (physics.bio-ph) #FOS: Biological sciences #FOS: Physical sciences #Mathematical Biology Tumor Growth #Molecular Communication and Nanonetworks #Statistical Mechanics (cond-mat.stat-mech) #Tissues and Organs (q-bio.TO) #cond-mat.stat-mech #physics.bio-ph #q-bio.TO
paper · pdf · doi:10.48550/arxiv.1107.0641
20 pages, 4 figures, 1 table
arxiv created 2011/07/04 · openalex publication_date 2011/07/04 · arxiv updated 2011/07/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider a three-state model comprising tumor cells, effector cells and tumor detecting cells under the influence of noises. It is demonstrated that inevitable stochastic forces existing in all three cell species are able to suppress tumor cell growth completely. Whereas the deterministic model does not reveal a stable tumor-free state, the auto-correlated noise combined with cross-correlation functions can either lead to tumor dormant states, tumor progression as well as to an elimination of tumor cells. The auto-correlation function exhibits a finite correlation time τ while the cross-correlation functions shows a white noise behavior. The evolution of each of the three kinds of cells leads to a multiplicative noise coupling. The model is investigated by means of a multivariate Fokker-Planck equation for small τ. The different behavior of the system is above all determined by the variation of the correlation time and the strength of the cross-correlation between tumor and tumor detecting cells. The theoretical model is based on a biological background discussed in detail and the results are tested using realistic parameters from experimental observations.