Affordable Access

Publisher Website

Stochastic resonance in a tumor–immune system subject to bounded noises and time delay

Authors
Journal
Physica A Statistical Mechanics and its Applications
0378-4371
Publisher
Elsevier
Publication Date
Identifiers
DOI: 10.1016/j.physa.2014.08.003
Keywords
  • Tumor–Immune System
  • Stochastic Resonance
  • Cross-Correlated Sine-Wiener Noises
  • Time Delay
Disciplines
  • Mathematics
  • Medicine

Abstract

Abstract Immunotherapy is one of the most recent approaches in cancer therapy. A mathematical model of tumor–immune interaction, subject to a periodic immunotherapy treatment (imitated by a periodic signal), correlative and bounded stochastic fluctuations and time delays, is investigated by numerical simulations for its signal power amplification (SPA). Within the tailored parameter regime, the synchronous response of tumor growth to the immunotherapy, stochastic resonance (SR), versus both the noises and delays is obtained. The details are as follows (i) the peak values of SPA versus the noise intensity (A) in the proliferation term of tumor cells decrease as the frequency of periodic signal increases, i.e. an increase of the frequency restrains the SR; (ii) an increase of the amplitude of periodic signal restrains the SR versus A, but boosts up the SR versus the noise intensity B in the immune term; (iii) there is an optimum cross-correlated degree between the two bounded noises, at which the system exhibits the strongest SR versus the delay time τα(the reaction time of tumor cell population to their surrounding environment constraints); (iv) upon increasing the delay time τα, double SR versus the delay time τβ (the time taken by both the tumor antigen identification and tumor-stimulated proliferation of effectors) emerges. These results may be helpful for an immunotherapy treatment for the sufferer.

There are no comments yet on this publication. Be the first to share your thoughts.

Statistics

Seen <100 times
0 Comments

More articles like this

Transitions induced by time delays and cross-corre...

on Physica A Statistical Mechanic... Feb 15, 2012

Stochastic time-delayed systems driven by correlat...

on Physica A Statistical Mechanic... Jan 01, 2009

Effects of time delay on transient behavior of a t...

on Physica A Statistical Mechanic... Jan 01, 2008
More articles like this..