At the Complex Systems Group of the Centre for Mathematical Research, we focus on two major lines of research: one, natural disasters and meteorological phenomena, resulting from the complex activity of the Earth’s system, and the other, the structure of the information in human communication, produced by the areas of the brain responsible for this and the relationship between the speakers.

The computational neuroscience unit at the CRM was founded in 2012 and is made up of three Principal Investigators (Alex Roxin, Klaus Wimmer and Alex Hyafil) and their groups. The unit is an active member of a larger, Barcelona-wide Neuroscience community which includes theoretical, experimental and clinical groups located in a variety of university departments and research centers (www.barccsyn.org). Research in the computational neuroscience unit is largely focused on systems-level neuroscience. Broadly speaking, this involves investigating how large assemblies of interacting neurons give rise to animal and human behavior. Our approach is generally to combine computational modeling with data analysis.

Industrial mathematics is a rather loose term, nowadays it seems to cover almost any application of mathematics in a practical context. The research group at CRM has four main focus areas:

• Carbon capture/Contaminant removal by sorption
• Mathematics in Nanotechnology
• Nanofluid heat transfer and energy generation
• Phase change

Followed by a wide range of other research topics such as General Industrial Mathematics problems; Thin film flow; Heat Balance Integral Method; Non-Newtonian fluid flow.

Group members have recently published two books, with a third under review. If you wish to support us, purchase one of these today ---

W. Bacsa, R. Bacsa, T.G. Myers. Optics Near Surfaces and at the Nanometer Scale. ISBN 978-3-030-58983-7. Monograph, 2020 Springer-Nature.

F. Font Martinez; T. Myers (Eds). Multidisciplinary Mathematical Modelling - Applications of Mathematics to the Real World. ISBN 978-3-030-64271-6. Springer Nature, 2021 (this book is a bit overpriced in my opinion, but buy it anyway!).

Our laboratory is interested in understanding biological nonlinear phenomena. Our research is focused on Biomedicine (including cancer and viruses), in systems and synthetic Biology as well as in theoretical ecology. To do so we use the qualitative theory of dynamical systems and computer simulations (stochastic dynamics and spatially-extended systems). 

We are especially interested in characterizing both asymptotic and transient dynamics of these systems and their sensitivity to parameter changes. That is, understand which bifurcations govern transitions in biological systems.

To propose new models relevant to experimental biologists and clinicians and develop the analytical and computational tools necessary for their analysis. We pay special attention to problems with clinical relevance, in particular those related to cancer.

We can consider complex systems to be ones formed by a large number of heavily interacting elements. As a result, many of mankind’s greatest challenges come from trying to unravel the behaviour of these systems, such as the climate, the economy, society, the brain, biological development, etc. However, contrary to this, the hydrogen atom, solar system or an ideal gas would be simple systems, despite the fact that in order to study them we need to use in-depth physics concepts and sophisticated mathematics.

Harmonic analysis—also called Fourier Analysis― studies the representation of functions or signals as the superposition of basic waves