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. Author manuscript; available in PMC: 2015 Oct 26.
Published in final edited form as: Math Biosci Eng. 2009 Oct;6(4):753–778. doi: 10.3934/mbe.2009.6.753

Fig. 4.

Fig. 4

In this figure we provide an example that allows for the appearance of three islet autoantibodies but different from Fig. 3 we see that the patient responded with only a 10% decrease in functioning β-cells after the first islet autoantibody appeared, however, after the third autoantibody, the level of functioning β-cells maintains a level that is only reduced by 20% and maintains this level for over 12 years. This dynamic is very different then the one presented in the previous figure. All the model parameters were kept the same except for the ones that control the S(t). In fact, the change in dynamics seen in this figure are due to a doubling of αi and a two order of magnitude change in K, showing the robustness of our model and the critical need for data to validate our results.