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Mathematical Biology Group Meetings


Upcoming Meetings:
International Workshop on Numerical Methods and Emerging Computational Challenges in Mathematical Biology, 12-15 May 2014, University of Dundee


Past Meetings:

Joint meetings with CompBio group

Monday, 26 April 2010
Dan Bolsser

Monday, 29 March 2010
Jim Procter

Monday, 15 March 2010
Hiroko Kamei

Monday, 1 March 2010
Mark McDowall

Monday, 22 February 2010
Vivi Andasari
Mathematical Modelling of Cancer Cell Invasion of Tissue

Monday, 1 February 2010
Michelle Scott
Investigation of Nucleolar Localization Sequences

Monday, 18 January 2010
Marc Sturrock
Mathematical Modelling of the p53-Mdm2 Oscillatory System

Monday, 14 December 2009
Marek Gierlinski
Timing Proteins
Abstract:
Cell cycle is the series of events that takes place in a cell leading to its division and duplication. The crucial part of the cycle is replication of the DNA. It is controlled and synchronized in a rather sophisticated way and involves numerous proteins activated at different phases of the cycle. One of the projects I work on focuses on DNA-binding proteins throughout the cell cycle. I will show how bioinformatics can help understanding underlying biological processes. I will concentrate on clustering techniques and explain k-means, fuzzy c-means and hierarchical clustering in details.

Monday, 7 December 2009
Mark Chaplain
Mathematical Modelling of Tumour-induced Angiogenesis

Monday, 23 November 2009
Chris Cole
Non-coding RNA: More Complex than First Thought

Monday, 9 November 2009
First joint meeting with Computational Biology Research Group

Thursday, 21 May 2009
Lydia Hill
Cytochrome P450 Modelling

Thursday, 23 April 2009
Karen Stephenson
The Thigmotropic Response of Filamentous Fungi

Thursday, 26 March 2009
Marine Aubert
Continuum and Discrete Mathematical Models of the Developing Retinal Vasculature
Abstract:
Angiogenesis is the process of blood vessel growth and is crucial in many biological situations such as wound healing and embryogenesis. Angiogenesis (neovascularization) also plays a crucial role in "pathological situations" such as the growth and development of solid tumours and in the developing retina where it impacts on diseases such as retinopathy. Although tumour-induced angiogenesis has been well-studied experimentally and has received a lot of attention in the mathematical modelling community (see Daniela Schlüter's talk), there has been less modelling work in the other areas. Our current work is to create mathematical models of the developing retinal vasculature. The first step was to establish a continuum model consisting of a system of partial differential equations. These equations describe the migratory response of astrocytes and endothelial cells to molecular cues and haptotaxis. We then discretized the partial differential equations to develop a discrete model for cell migration. This model enables us to track individual cells (astrocytes and endothelial cells) and to incorporate the dynamic remodelling effects of blood perfusion on the architecture of the developing vascular plexus. Our approach is closely coupled to an associated experimental programme to parametrise our model effectively. The simulations of the discrete model are compared with the astrocyte and the vascular networks observed in in vivo experiments. Our aim is to use this model to elucidate the impact of molecular cues upon vasculature development and the implications for various eye diseases such as retinopathy.

Thursday, 12 March 2009
Daniela Schlüter
Mathematical Modelling of Tumour Induced Angiogenesis
Abstract:
Tumour-induced angiogenesis is the process through which a tumour becomes vascularised. As this is a crucial step in cancer development transforming a benign mass of cells into a malignant tumour, it is of great interest to understand it thoroughly. Therefore not only biologists and medical scientists but also mathematicians, physicists and computer scientists try to gain new insights into this process. Here, a brief overview shall be given concerning the results of mathematical models from 1985 until 1998 followed by a more detailed presentation of the continuous and the discrete model by Anderson and Chaplain (1998). A special emphasis lies on the simulations of the discrete model and some extensions to this.

Thursday, 26 February 2009
Vivi Andasari
Mathematical Modelling Cancer Cell Invasion of Tissue: Non-local Effects in the uPA System

Thursday, 20 November 2008
Hiroko Kamei
Interplay between Network Structure and Synchrony-breaking Bifurcation in Regular Coupled Cell Networks
Abstract:
In many area of science, there are mathematical models that consist of individual systems that interact with each other. Coupled cell networks are a very general formalism to describe such interacting individual systems. In this formalism, each cell describes an individual system of ODEs, and cells are coupled together as a network. Coupled cell networks are schematically described as directed graphs whose nodes correspond to cells and directed edges describe which cell is controlled by which cells. We consider one type of coupled cell networks, called regular networks, where all cells are identical with one type of interaction, and each cell has the same number of input arrows. Synchrony-breaking is where a fully synchronized network loses coherence, and breaks up into multiple clusters of self-synchronised sub networks. We investigate the effect of network structure on synchrony-breaking bifurcations in regular networks. Our main result shows a special type of synchronised subspaces, which are solely determined by a network structure, facilitate the classification of synchrony-breaking bifurcations of regular networks.


Unless otherwise indicated, seminars will be held in room 1.43L in the Maths building next to the MSI complex at the top of Old Hawkhill. All interested are welcome to attend.