My research seeks to understand the behaviour of complex systems consisting of many interacting components. These systems appear in many different situations in biology and engineering, such as a population of cancer cells, or contaminant particles going through a filter. I work on developing and analysing mathematical and computational methods to represent these systems. In particular, I am interested in methods that can capture phenomena at multiple scales and explain how individual-level mechanisms (such as the interactions between particles) affect the population-level behaviour:

- Stochastic models of diffusion for finite-size particles
- Homogenisation of ordered and disordered porous media
- Cross-diffusion systems
- Models for segregation in heterogeneous systems

Macroscopic behaviour in a two-species exclusion process via the method of matched asymptotics.
Preprint.

(2022).
(2021).
(2020).
(2019).
The influence of porous-medium microstructure on filtration.
J. Fluid Mech..

(2019).
(2018).
(2018).
Reactions, diffusion, and volume exclusion in a conserved system of interacting particles.
Phys. Rev. E.

(2018).
Cross-Diffusion Systems with Excluded Volume Effects and Asymptotic Gradient Flows.
J. Nonlinear Sci..

(2017).
Diffusion of particles with short-range interactions.
SIAM J. Appl. Math.

(2017).
Diffusion in Spatially Varying Porous Media.
SIAM J. Appl. Math..

(2015).
Diffusion of Finite-Size Particles in Confined Geometries.
Bull. Math. Biol..

(2014).
Diffusion of multiple species with excluded-volume effects.
J. Chem. Phys..

(2012).
- bruna@maths.cam.ac.uk
- Office G1.10, Department of Applied Mathematics and Theoretical Physics Centre for Mathematical Sciences, Cambridge, CB3 0WA