Tumor stabilization induced by t-cell recruitment fluctuations. (English) Zbl 1448.92058
Summary: The influence of random fluctuations on the recruitment of effector cells towards a tumor is studied by means of a stochastic mathematical model. Aggressively growing tumors are confronted against varying intensities of the cell-mediated immune response for which chaotic and periodic oscillations coexist together with stable tumor dynamics. A thorough parametric analysis of the noise-induced transition from this oscillatory regime to complete tumor dominance is carried out. A hysteresis phenomenon is uncovered, which stabilizes the tumor at its carrying capacity and drives the healthy and the immune cell populations to their extinction. Furthermore, it is shown that near a crisis bifurcation, such transitions occur under weak noise intensities. Finally, the corresponding noise-induced chaos-order transformation is analyzed and discussed in detail.
MSC:
| 92C32 | Pathology, pathophysiology |
| 34C28 | Complex behavior and chaotic systems of ordinary differential equations |
| 34C23 | Bifurcation theory for ordinary differential equations |
Keywords:
bifurcation analysis; nonlinear systems; mathematical modeling; cancer dynamics; fluctuationsReferences:
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