Dynamics of stochastic mutation to immunodominance

Yu Wu; Xiaopeng Zhao; Mingjun Zhang

doi:10.3934/mbe.2012.9.937

Article Contents

2012, Volume 9, Issue 4: 937-952. Doi: 10.3934/mbe.2012.9.937

This issue Previous Article Basic stochastic models for viral infection within a host Next Article

Dynamics of stochastic mutation to immunodominance

1.
Department of Mechanical, Aerospace and Biomedical Engineering, University of Tennessee, Knoxville, TN 37996
2.
Department of Mechanical, Aerospace, and Biomedical Engineering, University of Tennessee, Knoxville, TN 37996

Received: August 31, 2009

Revised: August 31, 2010

Published: September 2012

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Abstract

Although a virus contains several epitopes that can be recognized by cytotoxic T lymphocytes (CTL), the immune responses against different epitopes are not uniform. Only a few CTLs (sometimes just one) will be immunodominant. Mutation of epitopes has been recognized as an important mechanism of immunodominance. Previous research has studied the influences of sporadic, discrete mutation events. In this work, we introduce a bounded noise term to account for the intrinsic stochastic nature of mutation. Monte Carlo simulations of the stochastic model show abounding complex phenomena, and patterns observed from the numerical simulations shed lights on long term trends of immunodominance.

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Mathematics Subject Classification: Primary: 92D25, 65C05; Secondary: 60H10, 62P10.

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