Saturation effects on T-cell activation in a model of a multi-stage pathogen

Michael Shapiro, Edgar Delgado-Eckert

Research output: Chapter or section in a book/report/conference proceedingChapter in a published conference proceeding


In 6, we studied host response to a pathogen which uses a cycle of immunologically distinct stages to establish and maintain infection. We showed that for generic parameter values, the system has a unique biologically meaningful stable fixed point. That paper used a simplified model of T-cell activation, making proliferation depend linearly on antigen-T-cell encounters. Here we generalize the way in which T-cell proliferation depends on the sizes of the antigenic populations. In particular, we allow this response to become saturated at high levels of antigen. We show that this family of generalized models shares the same steady-state behavior properties with the simpler model contemplated in 6 while offering a new mathematical explanation of post-transplant lympho-proliferative disorder.
Original languageEnglish
Title of host publicationBIOMAT 2012
Subtitle of host publicationInternational Symposium on Mathematical and Computational Biology
EditorsRubem P Mondaini
PublisherWorld Scientific Publishing
Number of pages16
ISBN (Electronic)9789814520836
ISBN (Print)9789814520812
Publication statusPublished - Aug 2013

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