Network theory and stochastic modelling. at Cardiff University on FindAPhD.com

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Dr TE Woolley No more applications being accepted Competition Funded PhD Project (European/UK Students Only)

About the Project

This project seeks to develop a new understanding of pattern formation on directed networks, with stochastically weighted connections. The student will master the theoretical analytical techniques of weak noise analysis and chemical reaction network theory as well as develop coding skills using stochastic simulation algorithms and Smoluchowski dynamics. Using these skills, the student will investigate the following questions:
• In two-population stochastic pattern formation systems does each population have to demonstrate a clear pattern for the system to be stable? Namely, can one population support an excited, stable spatial Fourier mode, whilst the other does not?
• Does intrinsic stochasticity influence the insights generated when considering chiral chasing populations?
• If spatial populations are connected to their neighbours and the transition rates are equal then the movement is seen to be modelled by stochastic diffusion. However, what happens when these transition rates are perturbed with small random noise?

Funding Notes

The studentship is funded through the EPSRC Doctoral Training Partnership and Cardiff School of Mathematics. It consists of full UK/EU tuition fees, as well as a Doctoral Stipend matching UK Research Council National Minimum.
UK Research Council eligibility conditions apply
Additional funding is available over the course of the programme and will cover costs such as research consumables, training, conferences and travel.

References

Applicants should submit an application for postgraduate study via the Cardiff University Online Application Service.
http://www.cardiff.ac.uk/study/postgraduate/applying/how-to-apply/online-application-service/mathematics-research
Applicants should select Doctor of Philosophy (Mathematics), with a start date of October 2018.

In the research proposal section of your application, please specify the project title and supervisors of this project. In the funding section, please select "I will be applying for a scholarship / grant" and specify that you are applying for advertised funding from EPRSC DTP.

Shortlisted candidates will be invited to attend an interview after the closing date

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Where will I study?

Cardiff University

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Network theory and stochastic modelling.

Cardiff University Cardiff School of Mathematics