Effect of tumor microenvironmental factors on tumor growth dynamics modeled by correlated colored noises with colored cross-correlation

Abstract

The effect of non-immunogenic tumor microenvironmental factors on tumor growth dynamics modeled by correlated additive and multiplicative colored noises is investigated. Using the Novikov theorem, Fox approach and Ansatz of Hanggi, an approximate Fokker-Planck equation for the system is obtained and analytic expression for the steady state distribution Pst(x) is derived. Based on the numerical results, we find that fluctuations of microenvironmental factors within the tumor site with parameter θ have a diffusive effect on the tumor growth dynamics, and the tumor response to the microenvironmental factors with parameter α inhibits growth at weak correlation time τ. Moreover, at increasing correlation time τ the inhibitive effect of tumor response α is suppressed and instead a systematic growth promotion is noticed. The result also reveals that the strength of the correlation time τ has a strong influence on the growth effects exerted by the non-immunogenic component of tumor microenvironment on tumor growth.

Mitigation of rare events in multistable systems driven by correlated noise

“…Noise-induced transitions are observed in many areas of science and engineering, such as climatology [1-3], laser technology [4], ecosystems [5][6][7], oncology [8][9][10][11], neural systems [12,13], material science [14,15], turbulence [16][17][18][19][20][21] and thermoacoustics [22]. Although these transitions are often rare, their occurrence may have devastating consequences [23].…”