eprintid: 10158781
rev_number: 13
eprint_status: archive
userid: 699
dir: disk0/10/15/87/81
datestamp: 2023-01-13 08:24:08
lastmod: 2023-12-01 07:10:32
status_changed: 2023-01-13 08:24:08
type: thesis
metadata_visibility: show
sword_depositor: 699
creators_name: Berkemeier, Francisco Pinto
title: Cell-cell interactions in epithelial patterning: Notch-Delta signalling and evolutionary dynamics
ispublished: unpub
divisions: UCL
divisions: B04
divisions: C06
note: Copyright © The Author 2022. Original content in this thesis is licensed under the terms of the Creative Commons Attribution-NonCommercial 4.0 International (CC BY-NC 4.0) Licence (https://creativecommons.org/licenses/by-nc/4.0/). Any third-party copyright material present remains the property of its respective owner(s) and is licensed under its existing terms. Access may initially be restricted at the author’s request.
abstract: Understanding pattern formation driven by cell-cell interactions has been a significant
theme in cellular biology for many years. In particular, due to its implications on
many biological contexts, lateral-inhibition mechanisms present in the Notch-Delta
signalling pathway led to an extensive discussion between biologists and mathematicians.
Deterministic and stochastic models have been developed as a consequence
of this discussion, some of which address long-range signalling by considering
cell protrusions reaching non-neighbouring cells. The dynamics of such signalling
systems reveal intricate properties of the coupling terms involved in these models. In
the broader context of evolutionary dynamics, signalling and patterning contribute to
the definition of phenotypes of individuals within an interacting population, whose
mathematical description has been unified under various conceptual frameworks.
In this thesis, we examine the benefits and limitations of new and existing
models of cell signalling and differentiation in a variety of contexts, including applications
in general and well-studied patterning tissues in Drosophila melanogaster.
Using linear and weakly nonlinear stability analyses, we find that pattern selection
relies on nonlinear effects that are not covered by such analytical methods. The
direct application of such models on the Drosophila wing disc development and
patterning of sensory organ precursor cells further shows the patterning reliance
on long-range signalling dynamics and the tissue’s mechanical properties. We also
develop a theoretical framework to understand the restrictions of abstract models of
evolutionary dynamics and interacting species, including a Notch-Delta application.
Using a set theory argument, we find that symmetry with respect to non-focal traits
is an intrinsic requirement in well-established evolutionary models.
date: 2022-11-28
date_type: published
oa_status: green
full_text_type: other
thesis_class: doctoral_embargoed
thesis_award: Ph.D
language: eng
primo: open
primo_central: open_green
verified: verified_manual
elements_id: 1986948
lyricists_name: Berkemeier, Francisco Pinto
lyricists_id: FPBER65
actors_name: Berkemeier, Francisco
actors_name: Jayawardana, Anusha
actors_id: FPBER65
actors_id: AJAYA51
actors_role: owner
actors_role: impersonator
full_text_status: public
pages: 237
institution: UCL (University College London)
department: Mathematics
thesis_type: Doctoral
citation:        Berkemeier, Francisco Pinto;      (2022)    Cell-cell interactions in epithelial patterning: Notch-Delta signalling and evolutionary dynamics.                   Doctoral thesis  (Ph.D), UCL (University College London).     Green open access   
 
document_url: https://discovery.ucl.ac.uk/id/eprint/10158781/2/Berkemeier_Thesis_Corrected.pdf
document_url: https://discovery.ucl.ac.uk/id/eprint/10158781/1/Berkemeier_SupplementaryMovies_Thesis.zip