Mathematical Modelling of Cell Shape and Localised Cell growth.
- Supervisors: Dr Natasha Savage
Description
The correct cell shape is essential for proper cell function. For example, in the brain signalling between neurons is received by dendritic spines, Dendritic spines are protrusions on the surface of the neuron, they come in different shapes, the most well-known being mushroom shaped. Dendritic spine shape and number is deregulated in several diseases such as Alzheimer’s, schizophrenia and autism. It is therefore important that we understand how cell shape, and in particular localised cell growth, is controlled.
In this project we will use mathematical and computational modelling to understand the mechanisms controlling healthy cell shape/growth and how the mechanisms are changed when the cell is in a diseased state.
The mathematical model will utilise partial differential equations (PDEs) to describe protein reactions and movement. The equations will be solved numerically using finite difference and finite element methods. Part of the project is to write our own numerical solvers.
The student will be trained in; how to build a meaningful mathematical model of a biological system; numerical solutions to PDEs; coding; how to interpret model solutions and use them to help design experiments; presentation skills and scientific writing.
The project is suited to a student with at least a good B.Sc. Upper Second, in Mathematics, Theoretical Physics, Engineering, or any degree with a substantial numerical methods content.
Availability
Open to students worldwide
Funding information
Self-funded project
The project is open to both European/UK and International students.
It is UNFUNDED and applicants are encouraged to contact the Principal Supervisor directly to discuss their application and the project.
Assistance will be given to those who are applying to international funding schemes.
The successful applicant will be expected to provide the funding for tuition fees and living expenses as well as research costs of £1000 per year.
New self-funded applicants may be eligible for a tuition fees bursary.
Details of costs can be found on the University website:
https://www.liverpool.ac.uk/study/postgraduate-research/fees-and-funding/fees-and-costs/
Supervisors
References
Superresolution microscopy reveals a dynamic picture of cell polarity maintenance during directional growth. DOI: 10.1126/sciadv.1500947
Mechanistic mathematical model of polarity in yeast. DOI: 10.1091/mbc.e11-10-0837
Dendritic spine pathology in neuropsychiatric disorders. DOI: 10.1038/nn.2741