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The dynamics of biological systems is driven by interactions between many elements at a given level of biological organisation (e.g. molecular, cellular, organism), but also by the couplings that exist between said levels (e.g. from molecules to cells to populations). Such couplings are highly non-linear and make the analysis of complex biological systems extremely challenging . The remit of the Mathematical and Computational Biology is the development of new theory, models, techniques, and tools that are relevant to biologists and clinicians. For this purpose we use a plethora of mathematical techniques including stochastic multiscale models, dynamical systems theory, singular perturbation analysis, bifurcation analysis, morphometrics, dimensional reduction tools and efficient simulation methods, as well as statistics, machine learning or optimization. We tackle issues such as understanding how genetic variation leads to variation in the characteristics of organisms, the so-called genotype-phenotype map, the arising of such map in embryonic development, its influence in the direction of phenotypic evolution. We also formulate new models of virus evolution and therapies that account for intrinsic heterogeneity and noise, we study the design of new strategies to avoid drug resistance induced by cancer-cell heterogeneity and analyze the mechanisms of ageing. Our research is collaborative in nature and we make an effort to keep close collaborations with both biologists and medical practitioners.

GROUP LEADERS

Personal Website

Tomás Alarcon

ICREA – CRM
talarcon@crm.cat

I obtained my PhD in Theoretical Physics from the University of Barcelona in 2000. After that I spent many wonderful years working as a postdoc at the University of Oxford, UK (2001-2003), University College London, UK (2003-2006), and Imperial College London, UK (2006-2009). I briefly held a senior researcher and group leader position at BCAM, Bilbao, Spain (2009-2010), after which I moved the Centre Recerca Matematica where I lead the Cancer Modelling Group. I have also held visiting fellowships at the Universidad Complutense de Madrid, IIMAS (UNAM, Mexico DF), OCCAM (University of Oxford, UK), the Mathematical Institute (University of Oxford, UK), and the Mathematical Biosciences Institute (Columbus, Ohio, USA). In October 2015, I was appointed to an ICREA Research Professorship at the Centre de Recerca Matematica. 

Personal Website

Silvia Cuadrado

UAB – CRM

silvia.cuadrado@uab.cat

Associate professor (UAB) since 2010. PhD in Mathematics (2003, UAB), Research position at Utrecht University (2001). Évariste Galois prize from the SCM (1998). Board member of the European Society for Mathematical and Theoretical Biology (2018-2023). Coordinator of the Modelling Master for Science and Technology (UAB).

Personal Website

Gissell Estrada-Rodriguez

UPC – CRM
gissell.estrada@upc.edu

I’m currently an Assistant Professor at Universitat Politecnica de Catalunya, Spain. Previously, I was a postdoc at the University of Oxford working with Jose A. Carrillo as part of an ERC grant. Also, I was a postdoc at Laboratoire Jacques-Louis Lion at Sorbonne Universite as part of a fellowship from Fondation Sciences Mathematiques de Paris (FSMP) where I worked under the supervision of Benoit Perthame and Luis Almeida for two years. I finished my PhD in 2019 in Edinburgh under the supervision of Heiko Gimperlein and Kevin Painter.

Personal Website

Josep Sardanyés

CRM
jsardanyes@crm.cat

I completed a BSc in Biology at University of Barcelona (2002) and went on to earn a Master and a PhD in Biomedicine (2009) at the Complex Systems Lab (CSL, Universitat Pompeu Fabra). During my PhD thesis I worked on dynamical systems and complexity in Biology. Upon obtaining my PhD degree, I moved to Valencia where I took up a postdoc position at the Institute of Molecular and Cellular Plant Biology (Consejo Superior de Investigaciones Científicas-UPV). In 2011 I moved to The David J. Gladstone Institutes for a second postdoc (University of California San Francisco, USA), where I focused on the evolutionary dynamics of RNA virus. Then, I moved again to the CSL where I completed a third postdoc (2012-2016) working on cancer evolution, theoretical ecology and systems and synthetic biology. In 2017 I became a researcher at the CRM.

Ielyaas Cloete
CRM

Postdoctoral Researcher

icloete@crm.cat

IP: Tomás Alarcón

Daria Stepanova
CRM

Postdoctoral Researcher

dstepanova@crm.cat

IP: Tomás Alarcón

Juan Arellano
CRM

PhD Student

jarellano@crm.cat

Supervisor: Tomás Alarcón

Oriol Llopis
CRM

PhD Student

ollopis@crm.cat

Supervisor: Josep Sardanyés

Kevin Martínez
CRM

PhD Student

kmartinez@crm.cat

Supervisor: Isaac Salazar

Amaia Vielba
CRM

PhD Student

avielba@crm.cat

Supervisor: Tomás Alarcón

PUBLICATIONS

Publications from the last 5 years

Calsina, À & Cuadrado, S. & Vidiella, B. & Sardanyés. J. (2023). About ghost transients in spatial continuous media. Chaos, Solitons & Fractals, 166, 112915. doi: http://dx.doi.org/10.1016/j.chaos.2022.112915

Carrasco-Mantis, A. & Alarcón, T. & Sanz-Herrera, J.A. (2023). An in silico study on the influence of
extracellular matrix mechanics on vasculogenesis. Computer Methods and Programs in Biomedicine.
231, 107369. doi: https://doi.org/10.1016/j.cmpb.2023.107369

Lázaro, T. J. & Alarcón, T. & Garay, C.P. & Sardanyés, J. (2023). Semiclassical theory predicts stochastc
ghosts scaling. Proceedings of the Royal Society A. 479: 20220621. doi: http://doi.org/10.1098/rspa.2022.0621

Chakraborty, S. & Ivančić F. & You, Y-J. (2023). Role of surface tension effect at the deformed free surface
of chemotaxis coupling flow system: weakly nonlinear study. Physics of Fluids 35, 091908. doi: https://
doi.org/10.1063/5.0166650.

Cano-Fernández, H. & Tissot, T. & Brun-Usan, M. & Salazar-Ciudad, I. (2023). On the origins of
developmental robustness: modeling buffering mechanisms against cell-level noise. Development 15
December 2023; 150 (24): dev201911. doi: https://doi.org/10.1242/dev.201911

Stepanova, D. & Byrne, H. M. & Maini, P. K. & Alarcón, T. (2023). Computational modeling of angiogenesis:
The importance of cell rearrangements during vascular growth. WIREs Mechanisms of Disease, 16(2),
e1634. doi: https://doi.org/10.1002/wsbm.1634

D.Stepanova, H.M. Byrne, P.K. Maini, T. Alarcon. A multiscale model of complex endothelial cell dynamics in early angiogenesis. Posted in bioRxiv.

M.O. Bernabeu, J. Kory, J.A. Grogan, B. Markelc, A. Beardo-Ricol, M. d’Avezac, J. Kaeppler, N. Daly, J. Hetherington, T. Krueger, P.K. Maini, J.M. Pitt-Francis, R.J. Muschel, T. Alarcon, H.M. Byrne. Abnormal morphology biases haematocrit distribution in tumour vasculature and contributes to heterogeneity in tissue oxygenation. Posted in bioRxiv.

A.I. Rodriguez-Villarreal, L. Ortega-Tana, J. Cid, A. Hernendez-Machado, T. Alarcon, P. Miribel-Catala, J. Colomer-Farrarons. An integrated detection method for flow viscosity measurements in microdevices. IEEE Transactions on Biomedical Engineering. Accepted for publication (2020).

E. Cuyas, S. Verdura, B. Martin-Castillo, T. Alarcon, R. Lupu, J. Bosch-Barrera, J.A. Menendez. Tumor-cell-intrinsic immunometabolism and precision nutrition in cancer immunotherapy. 12, 1757 (2020). doi: 10.3390/cancers12071757

E. Cuyas, J. Gumizio, S. Verdura, J. Brunet, J. Bosch-Barrera, B. Martin-Castillo, T. Alarcon, J.A. Encinar, A. Martin, and J.A. Menendez. The LSD1 inhibitor iadademstat (ORY-1001) targets SOX2-driven breast cancer stem cells: A potential epigenetic therapy in luminal-B and HER2-positive breast cancer subtypes. Aging.  12, 4794-4814 (2020). doi: 10.18632/aging.102887

R.A. Barrio, T. Alarcon, A. Hernandez-Machado. The dynamics of shapes of vesicle membranes with time dependent spontaneous curvature. PLoS One. 15, e0227562 (2020). doi: 10.1371/journal.pone.0227562

J.A. Menendez, E. Cuyas, N. Folguera-Blasco, S. Verdura, B. Martin-Castillo, T. Alarcon. In silico clinical trials for anti-aging therapies. Aging. 11, 6591-6601 (2019). doi: 10.18632/aging.102180

A.V. Ponce-Bobadilla, T. Carraro, H.M. Byrne, P.K. Maini, T. Alarcon. Age-structure can account for delayed logistic proliferation of scratch assays. Bull. Math. Biol. 81, 2706-2724 (2019). Preprint version available from bioRxiv

Vidiella B, Valverde S, Fontich E, Sardanyés J, Transients in simple trophic chains with facilitation: the impact of habitat destruction. Theoretical Ecology (submitted)

Sardanyés J, Raich C, Alarcón T. Noise-induced stabilization of saddle-node ghosts. Physical Review E (submitted)

Solé R, Sardanyés J, Elena SF, Phase transitions in Virology. Virus Evolution (submitted)

Zaldo Q, Serra I, Alsedà Ll, Sardanyés J, Maneja R, Reviewing the reliability of Land Use and Land Cover Data in studies relating human health to the environment. Land Use Policy (submitted)

Vidiella B, Sardanyés J, Solé R, Synthetic soil crusts against green-desert transitions: a spatial model. Royal Society Open Science​ (submitted)

Penella C, Alarcón T, Sardanyés J, Spatio-temporal dynamics of cancer phenotypic quasispecies under targeted therapy. Proceedings of the 9th International Congress on Industrial and Applied Mathematics (ICIAM) (2020) Accepted​

Nurtay A, Hennessy MG, Alsedà Ll, Elena SF, Sardanyés J, Host-virus evolutionary dynamics with specialist and generalist infection strategies: bifurcations, bistability and chaos. Chaos (2020) Accepted​

Perona J, Fontich E, Sardanyés J, Dynamical effects of loss of cooperation in discrete-time hypercycles​. Physica D: Nonlinear Phenomena 406: 132425 (2020)

Conde-Pueyo N, Vidiella B, Sardanyés J, Berdugo M, Maestre FT, de Lorenzo V, Solé R, Synthetic biology for terraformation: lessons from Mars, Earth, and the microbiome​. Life 10(2): 14 (2020)

Alsedà Ll, Vidiella B, Solé R, Lázaro JT, Sardanyés J, Dynamics in a time-discrete food-chain model with strong pressure on preys​. Communications in Nonlinear Science and Numerical Simulation 84, 105187 (2020)

Sardanyés J, Piñero J, Solé R, Habitat loss-induced tipping points in metapopulations with facilitation​. Population Ecology 1-14 (2019)

Sardanyés J. Viruses: Agents of evolutionary invention​. The Quarterly Review of Biology 94(1): 90-91 (2019)

Nurtay A, Hennessy MG, Sardanyés J, Alsedà Ll, Elena SF, Theoretical conditions for the coexistence of viral strains with differences in phenotypic traits: a bifurcation analysis​. Royal Society Open Science 6: 181179 (2019)

Fornés J, Lázaro JT, Alarcón T, Elena SF, Sardanyés J, Viral replication modes in single-peak fitness landscapes: A dynamical systems analysis. Journal of Theoretical Biology 460: 170-183 (2019)

Daniel J. Toddie-Moore Martti P. Montanari Ngan Vi Tran Evgeniy M. Brik Hanna Antson Isaac Salazar-Ciudad Osamu Shimmi, Mechano-chemical feedback mediated competition for BMP signalling leads to pattern formation

Salazar-Ciudad, Isaac. Why call it developmental bias when it is just development?. Biology Direct, 2021, vol. 16, p. 1-13.

Milocco, L., & Salazar-Ciudad, I. (2022). Evolution of the G Matrix under Nonlinear Genotype-Phenotype Maps. The American Naturalist, 199(3), 420-435.

Hagolani, P. F., Zimm, R., Vroomans, R., & Salazar-Ciudad, I. (2021). On the evolution and development of morphological complexity: A view from gene regulatory networks. PLoS computational biology, 17(2), e1008570.

Coronado-Zamora, M., Salvador-Martínez, I., Castellano, D., Barbadilla, A., & Salazar-Ciudad, I. (2019). Adaptation and conservation throughout the Drosophila melanogaster life-cycle. Genome biology and evolution, 11(5), 1463-1482.

Hagolani, P. F., Zimm, R., Marin-Riera, M., & Salazar-Ciudad, I. (2019). Cell signaling stabilizes morphogenesis against noise. Development, 146(20), dev179309.

 

PROJECTS

PDC2022-133020-I00
Sistemas dinámicos y matemática computacional para la optimización de partículas interferentes terapéuticas como terapia antiviral
PIs: Josep Sardanyés / Tomás Alarcón
Funded by MICINN

PID2021-127896OB-I00
HENOCANDYN: Heterogeneity and noise as engines of cancer evolution: A multiscale dynamical systems approach
PIs: Tomás Alarcón / Josep Sardanyés
Funded by MICINN

PCI2022-132926
MPA4SUSTAINABILITY: Enhancing Marine Protected Areas’ role in restoring biodiversity while maintaining access to ecosystem services
PI: Josep Sardanyés
Funded by IFD, ANR, FCT, AEI, SEPA

2021-SGR-00874
Los puntales matemáticos de la biología integrativa de sistemas
PIs: Tomás Alarcón
Funded by MINECO

PID2021-122930NB-I00
Predicting the evolution of complex phenotypes by contrasting and combining quantitative genetics and mathematical models of development
PI: Isaac Salazar
Funded by Ministerio de Ciencia, Innovación y Universidades

CNS2022-135397
Testeando la predicibilidad de la evolución y del mapa genotipofenotipo
PI: Isaac Salazar
Funded by Ministerio de Ciencia, Innovación y Universidades

EXTERNAL COLLABORATORS
Jukka Jernvall  | Helsinki University
David Houle | Florida State University
Osamu Shimmi | Helsinki University
Stuart A Newman | New York Medical College
Antonio Barbadilla | Universitat Autònoma de Barcelona
Helen Byrne | University of Oxford
Philip K. Maini | University of Oxford
Karen M Page | University College London
Juan Calvo | Universidad de Granada
Jorge das Neves Duarte | Instituto Superior de Engenharia de Lisboa (ISEL) and Instituo Superior Técnico (IST)
Santiago F. Elena | Instituto de Biología Integrativa de Sistemas and The Santa Fe Institute
Cristina Januário | Instituto Superior de Engenharia de Lisboa and Instituo Superior Técnico de Lisboa
Javier A. Menendez | Cancer Metabolism Lab, Catalan Institute for Oncology
Daniel Oro | Centre d’Estudis Avançats de Blanes – CSIC
Carlos Peña Garay | Laboratorio Subterráneo de Canfranc
Blai Vidiella | Evolution of Networks Lab, Institut de Biologia Evolutiva – CSIC
CSIC Associated Unit (DySCoVir) between the I2SysBio and CRM

The I2SysBio and the Centre de Recerca Matemàtica (Mathematical Research Center) launch the associated unit Dynamic Systems and Computational Virology (DysCoVir) — NewsDysCoVir website