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A Mathematical Model of T1D Acceleration and Delay by Viral Infection

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Abstract

Type 1 diabetes (T1D) is often triggered by a viral infection, but the T1D prevalence is rising among populations that have a lower exposure to viral infection. In an animal model of T1D, the NOD mouse, viral infection at different ages may either accelerate or delay disease depending on the age of infection and the type of virus. Viral infection may affect the progression of T1D via multiple mechanisms: triggering inflammation, bystander activation of self-reactive T-cells, inducing a competitive immune response, or inducing a regulatory immune response. In this paper, we create mathematical models of the interaction of viral infection with T1D progression, incorporating each of these four mechanisms. Our goal is to understand how each viral mechanism interacts with the age of infection. The model predicts that each viral mechanism has a unique pattern of interaction with disease progression. Viral inflammation always accelerates disease, but the effect decreases with age of infection. Bystander activation has little effect at younger ages and actually decreases incidence at later ages while accelerating disease in mice that do get the disease. A competitive immune response to infection can decrease incidence at young ages and increase it at older ages, with the effect decreasing over time. Finally, an induced Treg response decreases incidence at any age of infection, but the effect decreases with age. Some of these patterns resemble those seen experimentally.

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Authors and Affiliations

  1. School of Mathematics, Georgia Institute of Technology, 686 Cherry Street, Atlanta, GA, 30332, USA

    James R. Moore

  2. Department of Mathematics, University of Utah, 155 S 1400 E Rm 233, Salt Lake City, UT, 84111, USA

    Fred Adler

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  1. James R. Moore
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  2. Fred Adler
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Correspondence to James R. Moore.

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Moore, J.R., Adler, F. A Mathematical Model of T1D Acceleration and Delay by Viral Infection. Bull Math Biol 78, 500–530 (2016). https://doi.org/10.1007/s11538-016-0152-6

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  • DOI: https://doi.org/10.1007/s11538-016-0152-6

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