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CRM > English > Activities > Curs 2017-2018 > IRP Recent progress in Mathematical Biology
IRP Recent progress in Mathematical Biology

April to June, 2018

 General information
Biology and biomedicine are experiencing a revolution driven by new high throughput technologies (OMICS, new imaging methodologies, etc.). These new technologies are producing a wealth of high-quality, high-resolution data that, perhaps for the first time, allow for quantitative characterisation of biological phenomena. However, there is also the danger that biologists and biomedical researchers are overwhelmed by the amount of data they are generating, unless new methods for data-management and quantitative theories allow them to interpret and contextualise their observations. Driven by this need, new developments in Mathematical Biology have emerged. The aim of this programme is to bring together experts from different areas of Mathematical Biology (neuroscience, tumour modelling, population dynamics,...) which have developed different methods trying to address the new challenges in their associated areas of biological and biomedical research.
The members of the scientific committee have experience in the organization of intensive programs. Jose Antonio Carrillo and Toni Guillamon organized (together with Angel Calsina) the "Research program on Mathematical Biology: Modelling and Differential Equations" which took place in the CRM from January 2009 until June 2009. Silvia Cuadrado was the organizer of the weekly seminar of the previous program and was also a member of the scientific committee of the "Research Program on Mathematics of Biodiversity" which took place in June-July 2012 also in the CRM. Jose Antonio Carrillo together with Shi Jin and Peter Markowich organized a thematica program at the Newton Institute for the Mathematical Sciences in the University of Cambridge in fall 2010. Jose Antonio Carrillo together with Andrea Bertozzi, Wilfrid Gangbo, Yann Brenier, Jean Michel Morel and Peter Markowich organized a thematic program in Optimal Transport at the Institute of Pure and Applied Mathematics in UCLA during March-June 2008.
These last two programs had lots of connections with mathematical biology via kinetic and transport modelling.
This activity will be included among the scientific activities organized in the framework of the "Year of Mathematical Biology" organized by the European Mathematical Society (EMS) and the European Society of Mathematical and Theoretical Biology (ESMTB) in 2018. Therefore, it will be a way to increase the international impact of the CRM and the groups in mathematical biology of the Barcelona area. Jose Antonio Carrillo is the chairman of the Applied Mathematics Committee of the EMS and he will be acting as the main coordinator of this activity in 2018.
Scientific committee
​Tomás Alarcón ​ICREA- CRM
​José Antonio Carrillo ​Imperial College London
​Sílvia Cuadrado ​UAB
​​Toni Guillamon ​UPC
Invited visiting researchers 
Tomás Alarcón
Centre de Recerca Matemàtica
Helen Byrne
University of Oxford
Àngel Calsina
Universitat Autònoma de Barcelona
Vincent Calvez
École Normale Supérieure de Lyon
​José Antonio Carrillo
Imperial College London
Jean Clairambault
INRIA Paris-Rocquencourt Research Centre
Silvia Cuadrado
Universitat Autònoma de Barcelona
Laurent Desvillettes
CMLA Ens Cachan
Odo Diekmann
University Utrecht
Susanne Ditlevsen
University of Copenhagen
Raluca Eftimie
University of Dundee
Philipp Getto
Technische Universität Dresden
Antoni Guillamon 
Universitat Politècnica de Catalunya
Mats Gyllenberg
University of Helsinki
Andrei Korobeinikov
Centre de Recerca Matemàtica
Anna Marciniak-Czochra
Heidelberg University
Markus Owen
University of Nottingham
Jordi Ripoll
Universitat de Girona
Horacio Rotstein
New Jersey Institute of Technology
Joan Saldaña 
Universitat de Girona
Josep Sardanyés 
Centre de Recerca Matemàtica
Next sessions: 
Tuesday, June 12th from 11:00 to 13:00 (coffee served at 10:30)
Location: Seminar Room of the Centre de Recerca Matemàtica.
An extension of the classification of evolutionarily singular strategies in Adaptive dynamics
Barbara Boldin (University of Primorska)
Abstract: The basic framework of Adaptive dynamics assumes an invasion fitness that is differentiable twice as a function of both the resident and the invader trait. Motivated by nested models of infectious disease dynamics we consider an extended framework in which the selection gradient exists (so the definition of evolutionary singularities extends verbatim), but where invasion fitness may lack the smoothness necessary for the classification á la Geritz et al. [Evol. Ecol., 12, pp. 35–57 (1998)]. We present the classification of evolutionarily singular strategies with respect to convergence stability and invadability and determine the condition for existence of nearby dimorphisms. The extended setting of Adaptive dynamics allows for a new type of evolutionary singularity: a so called one-sided ESS that is invadable by mutant strategies on one side of the singularity but uninvadable by mutants on the other side. We discuss possible evolutionary scenarios nearby one-sided ESSs and conclude by applying the extended framework to nested models of infectious disease dynamics.
The talk is based on joint work with O. Diekmann [J.Math.Biol., 69 (4), pp. 905-940 (2014)].
Chemical networks: the case of reaction-diffusion systems.
Laurent Desvillettes (Université Paris Diderot)
​Past sessions:
Well-posedness, equilibria and stability for a differential equation with state-dependent delay fromWell-posedness, equilibria and stability for a differential equation with state-dependent delay from stem cell biology.
Philipp Getto (Technische Universität Dresden)
Abstract: The motivation is a model for the maturation process of stem cells regulated by the mature cell population.The motivation is a model for the maturation process of stem cells regulated by the mature cell population. The model can be formulated as a differential equation with state-dependent delay, where the latter is the time for full maturation dependent on the history of mature cells. We show how in this formulation proofs for well-posedness and differentiability can be established. These provide a solid basis for an ongoing stability analysis via characteristic equations.
Asymptotic behaviour of ecological models: reproduction number vs Malthusian parameter.
Jordi Ripoll (Universitat de Girona)
Abstract: We review the procedure to derive the basic reproduction number R0 for ecological models of population dynamics. R0, defined as the expected lifetime number of offspring of a newborn individual of the population, determines the asymptotic behaviour of the population, as well as the traditional Malthusian parameter (exponential growth rate of the population). We illustrate the differences of both approaches from simple unstructured models (ODE), including trade-offs and evolutionary aspects, to more sophisticated structured models (PDE) where we need to elaborate a suitable numerical method to compute R0 when analytical expressions are not available.
Pattern formation in nonlocal hyperbolic/kinetic models for collective phenomena in ecology 
Raluca Eftimie (University of Dundee, UK)  
AbstractCollective movement of animals (e.g., fish, birds, etc.) has attracted humans’ attention for over 2000 years. In this talk we discuss a class of nonlocal hyperbolic models for interactions between animals as a result of inter-individual communication. These nonlocal hyperbolic models do not only show a large variety of spatial and spatio-temporal patterns, but they also display complex transitions between these patterns. To understand some of these patterns and transitions between patterns, we use bifurcation and symmetry theory combined with numerical simulations.
Attractive-repulsive models in collective behavior and applications
José Antonio Carrillo (Imperial College London, UK)
Abstract: We will discuss properties of solutions to aggregation-diffusion models appearing in many biological models such as cell adhesion, organogenesis and pattern formation. We will concentrate on typical behaviours encountered in systems of these equations assuming different interactions between species under a global volume constraint.
​​Other related activities
Seminar on Aggregation-Diffusion Equations by Professor José Antonio Carrillo de la Plata (Imperial College London)
Dates: April 26tth and 27th, 2018
Place and time: The seminar will be held at the Centre de Recerca Matemàtica on the 26th (Room C1/028) and the 27th of April (Room A1), 2018, from 11:30 to 13:00.
Abstract: We will do a review on the well-posedness theory, the existence of ground states and their qualitative properties, and the long-time asymptotics for aggregation-diffusion equations. Sharp conditions on the interaction potentials with/without linear diffusion will be given in order for the existence of ground states. Connections to obstacle problems will be discussed.
On the campus: The organizers suggest to book a room in Hotel Campus or a studio-type apartment in Vila Universitaria (400 euros per week approximately for a twin room, no breakfasts provided) link
There also are a number of hotels in Barcelona (see here), just 30 min from the campus of the Universitat Autònoma de Barcelona by a FGC train.
Further information
For inquiries about the program please send a message to Ms. Núria Hernandez (​)

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