Insights into oscillatory neural dynamics using a phase-amplitude framework Model reduction techniques can provide useful insight into the dynamics behaviour of high dimensional oscillatory systems such as networks of neurons …
Bistability between acute and chronic states in a Model of Hepatitis B Virus Dynamics Understanding the mechanisms responsible for different clinical outcomes following hepatitis B infection requires a systems investigation …
Could malaria mosquitoes be controlled by periodic release of transgenic mosquitocidal Metarhizium pingshaense? A mathematical modeling approach Malaria remains one of the world's deadliest vector-borne diseases, with WHO reporting 249 million …
Extreme first passage times for populations of identical rare events A collection of identical and independent rare event first passage times is considered. The problem of finding the fastest out …
A connubio of Machine Learning and PDEs for Scientific Discovery in the Biological Sciences In this talk, I will describe some problems at the intersection of data science and applied …
Are differences between Parkinson’s patients and healthy subjects like other brain diseases? The dynamical state of cortical neural activity constrains the complexity of functions it can perform. A marginally stable …
Bistable Dynamics of Perceiving Ambiguous Stimuli When experiencing an ambiguous sensory stimulus (e.g., the vase-faces image), subjects may report random alternations (time scale, seconds) between the possible interpretations. I will …
Modeling insights into subcellular cytoskeleton organization with external size changes Actin is one of the most abundant proteins in eukaryotic cells and a fundamental component of the cytoskeleton, playing a …
Mathematical modelling of malaria: Population-scale dynamics, vaccination, and evolution Malaria transmission and persistence depend critically on the interaction between parasite dynamics, human immunity, and epidemiological feedbacks. I will review recent …
Mechanistic Insights Into Parkinson’s Disease and Sex Differences in Liver Oxidative Stress In volume transmission, or neuromodulation, neurons communicate not through direct, one-to-one synaptic connections, but by releasing neurotransmitters broadly …