"Modelling the effect of time delays in the neurogenic network"

Supervised by Professor NA Monk

Abstract

This aim of this project is to develop and explore models of the neurogenic network hoping to determine under what conditions the neurogenic network generates different behaviours. We would develop models with the use of equation solvers in matlab. Basically, we would be using a process called lateral inhibition, which is a process which cells go through to determine their fate as to whether they would be a neural cell or an epithelial cell. We would then introduce time delays to this process due to the fact that delays have a lot of impact on the way the neurogenic network works. There are 4 stages in this project which are I. Process Model II. 2 Variable (Dl-N) Model III. Oscillators IV. The Full Neurogenic Model Firstly we would be looking at the process model and supporting every information we get out of it with a graph and also take a look at how lateral inhibition does occur between the cells. From there on we would then move on to look at the 2 variable cells which is the delta and notch model and take a look at the reactions of both delta and notch and also how lateral inhibition occurs in these 2 cells and also how much time is taken before it occurs. This takes me to stage 3 of the project, which basically are focused on oscillators which are the single oscillator cell and the coupled oscillator cell and also the Bi-Stable loop. We would be looking at each of these cells and taking a good insight as to how they work and how lateral inhibition does occur between them. Finally we would then add all the information we have on the first 3 stages and then bring it together to get the neurogenic network going. We would be taking these steps one at a time and by the end we would be hoping to achieve our aim of working of this project.