Collection and extraction of water level information from a digital river camera image dataset.
Vetra-Carvalho, S Dance, S Mason, D Waller, J Cooper, E Smith, P Tabeart, J Data in brief volume 33 106338- (28 Dec 2020)
Regularity of viscosity solutions of the σk-Loewner–Nirenberg problem
Li, Y Nguyen, L Xiong, J Proceedings of the London Mathematical Society volume 127 issue 1 1-34 (24 May 2023)
Adaptive therapy for ovarian cancer: An integrated approach to PARP inhibitor scheduling.
Strobl, M Martin, A West, J Gallaher, J Robertson-Tessi, M Gatenby, R Wenham, R Maini, P Damaghi, M Anderson, A bioRxiv (24 Mar 2023) https://www.ncbi.nlm.nih.gov/pubmed/36993591
Polynomial bounds for chromatic number VI. Adding a four-vertex path
Chudnovsky, M Scott, A Seymour, P Spirkl, S European Journal of Combinatorics volume 110 (10 Mar 2023)
Estimating risks of European option books using neural stochastic differential equation market models
Cohen, S Reisinger, C Wang, S The Journal of Computational Finance (2023)
Frontiers of Mathematical Biology: A workshop honouring Professor Edmund Crampin
Araujo, R Brumley, D Cursons, J Day, K Faria, M Flegg, J Germano, D Hunt, H Hunter, P Jenner, A Johnston, S McCaw, J Maini, P Miller, C Muskovic, W Osborne, J Pan, M Rajagopal, V Shahidi, N Siekmann, I Stumpf, M Zanca, A Mathematical Biosciences volume 359 (14 Apr 2023)
Tue, 13 Jun 2023
12:30
C3

Hydrocephalus shunt simulations

Lizzi Hayman
Abstract

Hydrocephalus is a serious medical condition which causes an excess of cerebrospinal fluid (CSF) to build up within the brain. A common treatment for congenital hydrocephalus is to implant a permanent drainage shunt, removing excess CSF to the stomach where it can be safely cleared. However, this treatment carries the risk of vascular brain tissues such as the Choroid Plexus (CP) being dragged into the shunt during drainage, causing it to block, and also preventing the shunt from being easily replaced. In this talk I present results from our fluid-structure interaction model which simulates the deflection of the CP during the operation of the hydrocephalus shunt. We seek to improve the shunt component by optimising the geometry with respect to CP deflection.

Tue, 30 May 2023
12:30
C2

Compromised clearance and cognitive decline

Georgia Brennan
Abstract

We describe a network model for the progression of Alzheimer's disease based on the underlying relationship to toxic proteins. From human patient data we construct a network of a typical brain, and simulate the concentration and build-up of toxic proteins, as well as the clearance, using reaction--diffusion equations. Our results suggest clearance plays an important role in delaying the onset of Alzheimer's disease, and provide a theoretical framework for the growing body of clinical results.

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