Thu, 19 Feb 2026

12:00 - 13:00
L3

(Fiyanshu) Impact of Electrolyte Microstructure on Power Density in Solid-State Batteries: Insights from Phase-Field Modelling. (Moschella) Macroscopic Models for Hard Anisotropic Particles

Dr Fiyanshu Kaka & Carmela Moschella
((Mathematical Institute University of Oxford))
Abstract
Fiyanshu Kaka

Title:
Impact of Electrolyte Microstructure on Power Density in Solid-State Batteries: Insights from Phase-Field Modelling

Abstract:
This talk presents a mesoscopic modelling framework that links electrolyte microstructure to cell-level performance in solid-state batteries. Using a unified diffuse-interface formulation expressed directly in electrochemical potentials, the approach simulates solid polymer electrolyte blend morphologies and evaluates coupled ionic transport and interfacial kinetics within these microstructures. By embedding the resulting morphologies into full cell-scale electrochemical models, the framework provides quantitative guidance for selecting optimal blend compositions to maximize power density. A central finding is that, beyond microstructure geometry alone, energy-level alignment between electrolyte phases critically shapes effective ionic pathways and rate performance.
 
 
Further Information
Fiyanshu Kaka is a Research Associate in Battery Modelling at the Mathematical Institute, University of Oxford. His research specialises in the mathematical modelling of energy systems, with a focus on bridging the gap between microstructural fidelity and computational efficiency.
 
Fiyanshu's modelling work began at the mesoscopic scale, where he employed phase-field methods to unravel complex process-structure-property relationships. Initially, he applied these microstructure-aware frameworks to photovoltaics, specifically optimising ternary organic solar cells. His focus subsequently shifted to energy storage, where he investigated the morphological dynamics of solid-state batteries and the influence of solid electrolyte microstructures on performance.
 
Currently, he is working on reduced-order models for Li-ion batteries and newer chemistries. By distilling high-fidelity mesoscopic insights into efficient, robust mathematical frameworks, he aims to accelerate the prediction of battery performance and lifespan. Before joining Oxford, Fiyanshu served as an Assistant Professor at the Defence Institute of Advanced Technology, India and holds a PhD in Materials Engineering from the Indian Institute of Science, Bangalore.
Thu, 29 Jan 2026

12:00 - 13:00
L3

Mathematical modelling of sleep-wake regulation: light, clocks and digital-twins

Anne Skeldon
(University of Surrey)
Abstract

 

We all sleep. But what determines when and for how long? In this talk I’ll describe some of the fundamental mechanisms that regulate sleep. I’ll introduce the nonsmooth coupled oscillator systems that form the basis of current mathematical models of sleep-wake regulation and discuss their dynamical behaviour. I will describe how we are using models to unravel environmental, societal and physiological factors that determine sleep timing and outline how constructing digital-twins could enable us to create personalised light interventions for sleep timing disorders.

 

Further Information

Anne Skeldon’s background is in dynamical systems and bifurcation theory. Her early research focused on pattern formation and fluid mechanics, particularly the Faraday wave problem. She later shifted towards applications in biology and sociology, serving as a co-investigator on the six-year complexity-science project Evolution and Resilience of Industrial Ecosystems. She is part of the Mathematics of Life and Social Sciences research group and co-leads the cross-faculty Centre for Mathematical and Computational Biology.

Her current research centres on sleep, circadian rhythms, and data science. She collaborates with researchers at the Surrey Sleep Research Centre to develop and analyse mathematical models of sleep–wake regulation—work that has featured in the UK parliamentary debate, “School should start at 10am because teenagers are too tired.” She has a particular interest in the influence of the light environment on sleep, including the potential effects of permanent daylight saving time, and in the use of mathematical models for fatigue risk management.

Thu, 22 Jan 2026

12:00 - 13:00
L3

Modelling Across Scales and Disciplines: From Fertilization and Embryogenesis to Epidemics

Katerina Kaouri
(Cardiff)
Abstract

I will present an overview of a range of interdisciplinary modelling challenges that I have been working on in collaboration with experimentalists and external partners. I will begin with mathematical modelling of calcium signalling in In-Vitro fertilization (IVF) and embryogenesis, illustrating how multiscale approaches can link molecular dynamics to cellular and developmental outcomes. I will then discuss our ongoing work on modelling viral transmission in indoor environments, carried out in collaboration with architects and policymakers, with the aim of informing evidence-based policy decisions for future epidemics.

 

Further Information

 

Katerina is a Reader in Applied Mathematics and the Director for Impact and Engagement at the Cardiff University School of Mathematics. She holds a DPhil from OCIAM, on sonic boom modelling, funded by the AIRBUS and the EU. Katerina has more recently been working on a range of interdisciplinary challenges mainly stemming from biology and medicine, in collaboration with companies, government and society. She is also the founder and coordinator of the European Study Groups with Industry (modelling workshops) in Cyprus (ESGI125, ESGI146). She has also co-founded the non-profit SciCo Cyprus and the Mediterranean Science Festival and she is a TEDx Speaker and a TED-Ed educator. Furthermore, she has been part of large-scale public engagement projects such as the SciShops.eu project where 18 organisations in 12 EU countries tackled pressing societal challenges through co-creative approaches. During the pandemic she led a modelling team that informed policy decisions of the Welsh Government, in collaboration with Prof. Ian Griffiths (OCIAM); she continues working on epidemic preparedness in collaboration with architects and policymakers. She represents the UK in the Councils of the European Consortium of Mathematics in Industry (ECMI) and of EU-Maths-In and she is a member of the Scientific Advisory Panel of the Newton Gateway. She is the recipient of the 2025 IMA Hedy Lamarr Prize for Knowledge Exchange in Mathematics and Its Applications.

 

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