- Speaker(s)
- Marina Dolfin
- Affiliation
- University of Messina
- Date
- April 18, 2012, 4:15 p.m.
- Room
-
room 5820
- Seminar
- Seminar of Biomathematics and Game Theory Group
Experimental observations show the relevance of Th1-Th2 cell balance in hypersensitive reactions. We propose a theoretical model of T cell mediated immune response focusing on Th1-Th2 cell balance, in the mathematical framework of the theory of reacting fluid mixtures with proliferative events. In our model the proliferative events, i.e. events which are not mass preserving, are the clonal expansions of Th1 and Th2 cells. Smooth approximate solutions of the resulting PDE's system are analyzed by using a double-scale approach enlightening some features regarding the multi-scale complexity of the phenomenon under observation.
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