## Overview

Broadly interested in applied mathematics in biological, physical and engineering systems

- Dynamics of networks of interconnected nonlinear systems: graph theory and dynamics. Algebraic graph theory.
- Data analysis: geometric dimensionality reduction and graph clustering.
- Stochastic dynamics and optimization
- Multiscale dynamics and model reduction of bio-systems: analysis of biomolecules and biomolecular assemblies
- Social network analysis: Text and information flows.
- Theory of synchronization: Coupled oscillators in biology and engineering, flocking phenomena
- Algorithms for nonlinear signal analysis: Nonlinear detection, network reconstruction
- Mathematical and computational biology: metabolic and genetic networks (deterministic and stochastic)
- Network analysis for robust infrastructure
- Applied PDEs in biology: nonlinear wave propagation in the arterial tree, chemotaxis.

## Research Staff

## Research Student Supervision

August,E, Dynamics and motifs in biochemical reaction networks

Hemberg,M, Stochastic analysis of biological networks

Cooper,K, Clustering in Biological Networks

Strelkowa,N, Stochastic Gene Regulatory Networks

Yu,J, Design principles of metabolic networks

Phoka,E, Network dynamics of neuronal assemblies from data

Costa,JBRD, Graph rigidity for coarse-graining of protein structure and dynamics

Lazaridis,E, Networks of bio-inspired (neuronal) analogue VLSI circuits

Alley,S, Biophysical mechanisms for feedback control in membrane lipid metabolism