Seminar: Alan Rendall

Date: 

Thursday, August 2, 2018, 2:30pm to 3:30pm

Location: 

WAB 436

Title: Models for the initiation of T cell activation

Abstract: This talk is concerned with mathematical models describing events during the first few minutes after the encounter of a naive mature T cell with its antigen. I will describe results obtained with Eduardo Sontag showing that some of these models exhibit behaviour which had not previously been noticed 
such as multiple steady states and damped oscillations. In addition I will discuss features of the response function which are predicted by this type of 
model although this was previously not believed possible. An example is that under some circumstances the response is a decreasing function of the 
dissociation time of the antigen from the T cell receptor. It can be concluded that these features can be explained by events in the first few minutes and do 
not require later events to be taken into account. These results illustrate how mathematical studies of a model of a biological system can complement approaches based on simulations and heuristics.