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

Shapiro, Michael and Delgado-Eckert, Edgar. (2013) Saturation effects on T-cell activation in a model of a multi-stage pathogen. In: BIOMAT 2012. Singapore, pp. 148-164.

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Official URL: https://edoc.unibas.ch/64037/

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Abstract

In Delgado-Eckert, E. & Shapiro, M. J. Math. Biol. (2011) 63: 201. https://doi.org/10.1007/s00285-010-0365-5, 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 Delgado-Eckert, E. & Shapiro, M. J. Math. Biol. (2011) 63: 201. https://doi.org/10.1007/s00285-010-0365-5, while offering a new mathematical explanation of post-transplant lympho-proliferative disorder.
Faculties and Departments:03 Faculty of Medicine > Bereich Kinder- und Jugendheilkunde (Klinik) > Kinder- und Jugendheilkunde (UKBB)
03 Faculty of Medicine > Departement Klinische Forschung > Bereich Kinder- und Jugendheilkunde (Klinik) > Kinder- und Jugendheilkunde (UKBB)
03 Faculty of Medicine > Departement Biomedical Engineering
UniBasel Contributors:Delgado-Eckert, Edgar
Item Type:Book Section, refereed
Book Section Subtype:Further Contribution in a Book
Publisher:WORLD SCIENTIFIC
ISBN:978-981-4520-81-2
Series Name:International Symposium on Mathematical and Computational Biology
Note:Publication type according to Uni Basel Research Database: Book item
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Last Modified:17 Jan 2019 16:00
Deposited On:17 Jan 2019 16:00

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