PhD Scholarships: Mathematics and Computer ScienceFriday 5 June 2015
Liverpool Hope has launched a series of PhD Scholarships and welcomes applications from outstanding individuals of a high calibre to pursue PhD research at Liverpool Hope University in selected areas. We are seeking confident, innovative postgraduates with a record of achievement to undertake a broad range of thematic and inter-disciplinary projects. This call is open to both UK/EU and international applicants.
You can find full details about the Scholarships on the PhD Scholarships webpage or you can also contact Research Officer Mr Chris Lowry quoting '2015 Vice-Chancellor's PhD Scholarships' for more information, by emailing firstname.lastname@example.org
The Scholarships available will be selected from a range of specific project. Over the coming weeks, www.hope.ac.uk will profile the details of these areas of research.
Mathematics and Computer Science
In-Network Cache Resource Optimization for Information-Centric Networks
Information-Centric Networking (ICN) has emerged as a new paradigm for future Internet, where the network interprets, processes, and delivers name-identified contents to the users independently of the host location. Serving as its fundamental building block, efficient in-network caching is vitally important for ICN. Therefore, significant research efforts have been devoted to tackling the very challenging problem of in-network caching. However, the state-of-the-art ICN works cannot achieve accurate analytical modelling and optimized distributed cache resource allocation for energy-efficient ICN.
This project aims to devise and implement a distributed cache management scheme that leverage appropriate cache placement and replacement strategies to optimize the energy consumption and the performance, and test and demonstrate the viability of the developed cache management scheme in practical ICN scenarios. Outcomes of this project have the potential to deliver scientific and technological advances that will contribute directly to ICN in-network caching in both theoretical and practical sides and pave the way for future green Internet with multimedia applications.
Mathematical analysis of periodic and quasi-periodic spiral and scroll waves
Spiral (2D) and Scroll (3D) waves occur throughout nature, and in particular they can be found in many biological systems from cardiac arrhythmias and migraines, to the spread of diseases and rusting metals. Mathematically, these waves are classed as non-linear waves and are usually modelled using the reaction diffusion system of equations (RDS). One of the most important areas of study is how these waves behave under various natural conditions.
This project will deal with the qualitative analysis and numerical investigation of spiral wave behaviour, which will then be extended to scroll waves. In particular, a study of the eigenvalues to the adjoint linearised operator to the RDS will be conducted since these eigenvalues (known as response functions) are known to directly influence the dynamics of the waves. The project will look at many features of spiral and scroll waves, including meandering waves, in which the wave rotates with two underlying frequencies, both in two and three dimensions.
The project will contain a balance of numerical and analytical methods. The nature of the equations producing spiral and scroll wave solutions is such that they cannot usually be solved using analytical techniques. Therefore, numerical methods are used to solve them to give predictions about the nature and form of the underlying analytical solutions.
Bio-Inspired Integrated Hand
Human beings have impressive dexterity with their hands and amputations strongly affect this capability, since prosthetic devices do not achieve the original performance.
Many human-like robotic hands exist, which have potential to improve prostheses’ performance. Nevertheless, it is still difficult to interface these devices with the end-user: some technical solutions include neural interface microsystem, brain computer interface, muscle re-innervation, neural implants [1-4].
In this context, a PhD proposal is available at Liverpool Hope University, Department of Mathematics and Computer Science to advance low invasive techniques - based on imitation of human grasping synergies [5-6] - for real-time control of robotic hands. Biomechanics and motor planning of artificial fingers will be combined with the controller in a biologically-inspired fashion [7-8]. The project will involve hardware and software implementation.
The PhD candidate should have the following essential skills and abilities:
- Proficiency with desktop applications and database principles
- Knowledge of:
- Solid Works (or equivalent) software for the design and manufacturing of 3D components
- Matlab & Arduino Programming Language, Robotic Toolbox
- Statistical knowledge desirable
- Critically think and problem solve
- Ability to work independently, write report and present results
- Good team player and work ethic
 Hand Proprioception and Touch Interfaces (HAPTIX), Biological Technologies Office, Defense Advanced Research Projects Agency, DARPA-BAA-14-30, April 24, 2014
 Hochberg LR et al, Reach and Grasp by People with Tetraplegia using Neutrally Controlled Robotic Arm, Nature, 485, 372-377, 2012
 Kuiken TA et al, Targeted Muscle Reinnervation for Real-Time Myoelectric Control of Multifunction Artificial Arms, The Journal of the American Medical Association, 301(6), 619-628, 2009
 Rossini PM et al, Double Nerve Intraneural Interface Implant on a Human Amputee for Robotic Hand Control, Clinical Neurophysiology, 121(5), 777-783, 2010
 Magenes et al., A New Approach of Multi-d.o.f. Prosthetic Control, 30th Annual International Conference of the IEEE Engineering in Medicine and Biology Society (EMBC), 3443-3446, 2008
 Matrone G et al, Principal Components Analysis based Control of a Multi-DoF Underactuated Prosthetic Hand, Journal of NeuroEngineering and Rehabilitation, 7-16, 2010
 Secco EL et al, Bio-mimetic Finger - Human like morphology, control & motion planning for intelligent robot & prosthesis in Mobile Robotics, Moving Intelligence, 325-348, 2006
 Secco EL et al, A Feedforward Neural Network Controlling the Movement of a 3 d.o.f. Finger, IEEE SMC Trans. Part A, 32 (3), 437-445, 2002