We build mathematical approaches to handle the complexity of biology. Mathematics offers avenues to answer questions in biology and medicine that were previously out of reach. Each research layer: intradisciplinary mathematics, systems biology, and translational applications contains several research themes. Discover the themes, the work within them, and the people bringing them to life.
As experimental technology advances to provide finer and higher resolution observations, there is a need to understand the nonlinearity, high-dimensionality, and complexity of living systems. We build mathematics to handle data that is multi-dimensional, multi-scale, spatio-temporal while considering mathematical tractability and computability.
Applied algebraic geometry is the mathematical field that studies nonlinear algebra (algebraic geometry) and multilinear algebra (tensors).
Topological data analysis is the mathematical field that studies the shape of data. By computing topological invariants of data, one obtains a multi-scale geometric descriptor.
Mathematical models describe and predict the evolution of natural phenomena. Dynamical systems is the mathematical field to study how such systems behave under different conditions.
Applicable mathematics requires algorithms. We build computational tools to make theory practical and open source.
We take an interdisciplinary approach to bridge mathematics to biological systems. We complement existing approaches by combining new mathematical perspectives to analyse spatial and high dimensional systems (eg morphology and omics).
Combining mathematical models and noisy data requires statistics and AI. Identifiablity is necessary for well-posed parameter estimation.
Molecules, their interactions and feedbacks can be modeled as graphs and analyzed with network theory. Such chemical reaction networks can also be described as polynomial dynamical systems.
To study biological shape (morphology) and spatial organization of cells in tissues, we use geometry and topology to complement existing approaches.
Modern genomics experiments describe the activity of every gene, RNA or every protein in a tissue sample. We take a mathematical perspective to understand transcriptomics and proteomics.
We are highly motivated to develop applicable mathematics that has direct impact to real-world systems. We apply and translate our work in mathematics and systems biology to answer questions in the sciences, ranging from complex diseases to coral reef dynamics to social contagions.
Cancer disrupts cellular processes and tissue homeostatsis. We study and quantify how tumour cells rewire their signaling, alter blood vessel growth and change tissue organisation.
The immune system plays an important role to maintain health and dysfunctions in many diseases. We study the molecules, signalling pathways and immune cells in diseases ranging from cancer, lupus and covid.
The brain is a mysterious organ, encompassing structural and functional networks. The shape and connectivity of neuronal cells and circuits benefit from mathematics to understand its complexity and predict behavior.
Many other scientific applications, including the evolution of coral reefs, music identification and social contagions, benefit from algebraic, network and topological analysis.