The Complex Systems lab focuses on understanding the evolutionary origins of complex systems, using both mathematical models and experimental approaches based on synthetic biology. This lab has proposed and developed the concept of Major Synthetic Transitions as a framework for exploring the origins of innovation in evolution using a parallel approach, namely our potential for building or simulating synthetic systems that can recreate past evolutionary events. This includes the origin of protocells, multicellular systems, symbiosis, cognition and language. Another research area addresses Unstable Evolutionary Dynamics, namely the dynamics of biological systems (particularly RNA viruses and cancer) that exhibit a tendency towards high genetic instability as part of their adaptation potential. The Complex Systems lab also introduced the concept of "Terraforming" endangered or human-made ecosystems to avoid catastrophic shifts. The success of this proposal will require the development of a new synthesis involving multiple scales and conceptual frameworks, ranging from synthetic biology and cellular circuits to ecological communities. Finally, it also studies the evolution of artificial systems, in both silico ecosystems and technological networks, in its search for a true definition of evolutionary dynamics and technological phylogenies.

Lab website: Complex Systems Lab

Principal Investigator

Ricard Solé Vicente

Solé Vicente, Ricard
ICREA Research Professor (UPF)
Complex Systems Lab

Current members

Artemy Kolchinski

Kolchinski, Artemy
Postdoctoral Researcher (Marie Sklodowska-Curie (MSCA))
Complex Systems Lab

Victor Maull Miquel

Maull Miquel, Victor
Predoctoral Researcher (FI-DGR)
Complex Systems Lab

Jorid Pla Mauri

Pla Mauri, Jorid
Predoctoral Researcher (FPI)
Complex Systems Lab

Ongoing projects

Publications

Ruiz-Trillo I, Casacuberta E, Brown NH, Solé R. 2026. A smartphone analogy to explore the origin of animals. The EMBO Journal. DOI: 10.1038/s44318-026-00692-5.

Pla-Mauri J, Solé R. 2026. Engineering Basal Cognition: Minimal Genetic Circuits for Habituation, Sensitization, and Massed-Spaced Learning. ACS Synthetic Biology. DOI: 10.1021/acssynbio.5c00766

Solé R, Kempes C, Stepney S. 2025. Origins of life: the possible and the actual. Philosophical Transactions of the Royal Society B: Biological Sciences, 380(1936): 20240281. DOI: 10.1098/rstb.2024.0281.

Piñero J, Kolchinsky A, Redner S, Solé R. 2025. Neutral theory of cooperative dynamics. Proceedings of the National Academy of Sciences of the United States of America, 122:e2515423122. DOI: 10.1073/pnas.2515423122.

Hu W., Cui L., Delgado‑Baquerizo M., Solé R., Kéfi S., Berdugo M., Xu N., Wang B., Liu Q‑X., Xu C. 2025. Causes and consequences of disordered hyperuniformity in global drylands. Proceedings of the National Academy of Sciences of the United States of America, 122(41): e2504496122. DOI: 10.1073/pnas.250449612

Pla‑Mauri J, Solé R. 2025. A minimal genetic circuit for cellular anticipation. Journal of the Royal Society Interface, 22(231): 20250528. DOI: 10.1098/rsif.2025.0528.

Solé R, Kempes CP, Corominas-Murtra B, De Domenico M, Kolchinsky A, Lachmann M, Libby E, Saavedra S, Smith E, Wolpert D. 2024. Fundamental constraints to the logic of living systems. Interface Focus, 14(5):7-9. DOI:10.1098/rsfs.2024.0010

Solé R, Maull V, Amor DR, Mauri JP, Núria C-P. 2024. Synthetic Ecosystems: From the Test Tube to the Biosphere. ACS Synthetic Biology. DOI:10.1021/acssynbio.4c00384

Maull V, Solé R. 2024. Biodiversity as a firewall to engineered microbiomes for restoration and conservation. Royal Society Open Science, 11(6). DOI:10.1098/rsos.231526

Long C, Deng J, Nguyen J, Liu YY, Alm EJ, Solé R, Saavedra S. 2024. Structured community transitions explain the switching capacity of microbial systems. Proceedings of the National Academy of Sciences, 121(6):1-9. DOI:10.1073/pnas.2312521121

Kéfi S, Génin A, Garcia-Mayor A, Guirado E, Cabral JS, Berdugo M, Guerber J, Solé R, Maestre FT. 2024. Self-organization as a mechanism of resilience in dryland ecosystems. Proceedings of the National Academy of Sciences, 121(6):2017. DOI:10.1073/pnas.2305153121

Seoane LF, Solé R. 2023. How Turing parasites expand the computational landscape of digital life. Physical Review E, 108(4):044407. DOI:10.1103/PhysRevE.108.044407

Aguadé‐Gorgorió G, Costa J, Solé R. 2023. An oncospace for human cancers. BioEssays, 45(5). DOI:10.1002/bies.202200215

Vidiella B, Solé R. 2022. Ecological firewalls for synthetic biology. iScience, 25(7):104658. DOI:10.1016/j.isci.2022.104658

Solé R, Levin S. 2022. Ecological complexity and the biosphere: the next 30 years. Philosophical Transactions of the Royal Society B: Biological Sciences, 377(1857). DOI:10.1098/rstb.2021.0376

Solé R, Seoane LF. 2022. Evolution of Brains and Computers: The Roads Not Taken. Entropy, 24(5):665. DOI: 10.3390/e24050665.

Maull V, Solé R. 2022. Network-level containment of single-species bioengineering. Philosophical Transactions of the Royal Society B: Biological Sciences, 377(1857). DOI:10.1098/rstb.2021.0396

Bonforti A, Solé R. 2022. Unicellular–multicellular evolutionary branching driven by resource limitations. Journal of The Royal Society Interface, 19(191). DOI:10.1098/rsif.2022.0018

Aguadé-Gorgorió G, Kauffman S, Solé R. 2022. Transition Therapy: Tackling the Ecology of Tumor Phenotypic Plasticity. Bulletin of Mathematical Biology, 84(1):24. DOI:10.1007/s11538-021-00970-9

Vidiella B, Guillamon A, Sardanyés J, Maull V, Pla J, Conde N, Solé R. 2021. Engineering self-organized criticality in living cells. Nature Communications, 12(1):4415. DOI:10.1038/s41467-021-24695-4

Solé R, Aguadé-Gorgorió G. 2021. The ecology of cancer differentiation therapy. Journal of Theoretical Biology, 511(110552). DOI:10.1016/j.jtbi.2020.110552

Solé R, Sardanyés J, Elena SF. 2021. Phase transitions in virology. Reports on Progress in Physics, 84(11):115901. DOI:10.1088/1361-6633/ac2ab0

Solé R, Conde-Pueyo N, Guillamon A, Maull V, Pla J, Sardanyés J, Vidiella B. 2021. Synthetic criticality in cellular brains. Journal of Physics: Complexity, 2(4):041001. DOI:10.1088/2632-072X/ac35b3

Duran-Nebreda S, Pla J, Vidiella B, Piñero J, Conde-Pueyo N, Solé R. 2021. Synthetic Lateral Inhibition in Periodic Pattern Forming Microbial Colonies. ACS Synthetic Biology, 10(2): 277–285. DOI: 10.1021/acssynbio.0c00318

Vidiella B, Sardanyés J, Solé R V. 2020. Synthetic soil crusts against green-desert transitions: A spatial model: Synthetic ecosystems’ terraformation. Royal Society Open Science,7(8). DOI:10.1098/rsos.200161rsos200161

Solé R. 2020. Using information theory to decode network coevolution. Science, 368(6497):1315-1316. DOI:10.1126/science.abc6344

Solé R, Valverde S. 2020. Evolving complexity: how tinkering shapes cells, software and ecological networks. Philosophical Transactions of the Royal Society B: Biological Sciences, 375(1796). DOI:10.1098/rstb.2019.0325

Solé R, Valverde S. 2020. Evolving complexity: how tinkering shapes cells, software and ecological networks. The Royal Society.  doi: 10.1098/rstb.2019.0325

Seoane LF, Solé R. 2020. Criticality in Pareto Optimal Grammars? Entropy, 22(2):165. DOI: 10.3390/e22020165.

Ollé-Vila A, Seoane LF, Solé R. 2020. Ageing, computation and the evolution of neural regeneration processes. Journal of The Royal Society Interface, 17(168). DOI:10.1098/rsif.2020.0181

Conde-Pueyo N, Vidiella B, Sardanyés J, Berdugo M, Maestre FT, Lorenzo V de, Solé R. 2020. Synthetic biology for terraformation lessons from mars, earth, and the microbiome. Life, 10(2):1–27. DOI: 10.3390/life10020014

Berdugo M, Delgado-Baquerizo M, Soliveres S, Hernández-Clemente R, Zhao Y, Gaitán JJ, Gross N, Saiz H, Maire V, Lehman A, Rillig MC, Solé RV, Maestre FT. 2020. Global ecosystem thresholds driven by aridity. Science, 367(6479):787–790. DOI: 10.1126/science.aay5958

Alsedà L, Vidiella B, Solé R, Lázaro JT, Sardanyés J. 2020. Dynamics in a time-discrete food-chain model with strong pressure on preys. Communications in Nonlinear Science and Numerical Simulation, 84:1–26. DOI:10.1016/j.cnsns.2020.105187

Aguadé-Gorgorió G, Solé R. 2020. Tumour neoantigen heterogeneity thresholds provide a time window for combination immunotherapy. Journal of the Royal Society Interface, 17(171). DOI:10.1098/rsif.2020.0736.

Ollé-Vila A, Solé R. 2019. Cellular heterogeneity results from indirect effects under metabolic tradeoffs. Royal Society Open Science, 6(9). DOI:10.1098/rsos.190281

Vidiella B, Sardanyés J, Solé R. 2018. Exploiting delayed transitions to sustain semiarid ecosystems after catastrophic shifts. Journal of The Royal Society Interface, 15(143):20180083. DOI:10.1098/rsif.2018.0083

Valverde S, Piñero J, Corominas-Murtra B, Montoya J, Joppa L, Solé R. 2018. The architecture of mutualistic networks as an evolutionary spandrel. Nature Ecology & Evolution, 2(1):94-99. DOI:10.1038/s41559-017-0383-4

Solé R, Ollé-Vila A, Vidiella B, Duran-Nebreda S, Conde-Pueyo N. 2018. The road to synthetic multicellularity. Current Opinion in Systems Biology, 7:60-67. DOI:10.1016/j.coisb.2017.11.007

Solé R. 2018. Cooperation in an RNA world. Nature Ecology & Evolution, 2(10):1527-1528. DOI:10.1038/s41559-018-0649-5

Seoane LF, Solé R V. 2018. Information theory, predictability and the emergence of complex life. Royal Society Open Science, 5(2):172221. DOI:10.1098/rsos.172221

Seoane LF, Solé R. 2018. The morphospace of language networks. Scientific Reports, 8(1):1-18. DOI:10.1038/s41598-018-28820-0

Corominas-Murtra B, Sànchez Fibla M, Valverde S, Solé R. 2018. Chromatic transitions in the emergence of syntax networks. Royal Society Open Science, 5(12):181286. DOI:10.1098/rsos.181286

Corominas-Murtra B, Seoane LF, Solé R. 2018. Zipf’s Law, unbounded complexity and open-ended evolution. Journal of The Royal Society Interface, 15(149):20180395. DOI:10.1098/rsif.2018.0395

Aguadé-Gorgorió G, Solé R. 2018. Adaptive dynamics of unstable cancer populations: The canonical equation. Evolutionary Applications, 11(8):1283-1292. DOI:10.1111/eva.12625

Valverde S. 2017. Breakdown of Modularity in Complex Networks. Frontiers in Physiology, 8:1-8. DOI:10.3389/fphys.2017.00497

Sardanyés J, Tomás Lázaro J, Guillamon A, Fontich E. 2017. Full analysis of small hypercycles with short-circuits in prebiotic evolution. Physica D: Nonlinear Phenomena, 347:90-108. DOI:10.1016/j.physd.2016.12.004

Sardanyés J, Martínez R, Simó C, Solé R. 2017. Abrupt transitions to tumor extinction: a phenotypic quasispecies model. Journal of Mathematical Biology, 74(7):1589-1609. DOI:10.1007/s00285-016-1062-9

Maestre FT, Solé R, Singh BK. 2017. Microbial biotechnology as a tool to restore degraded drylands. Microbial Biotechnology, 10(5):1250-1253. DOI:10.1111/1751-7915.12832

Macia J, Vidiella B, Solé R V. 2017. Synthetic associative learning in engineered multicellular consortia. Journal of The Royal Society Interface, 14(129):20170158. DOI:10.1098/rsif.2017.0158

Gaviria AM, Franco J, Rico G, Muntané G, Sáez C, Sánchez-Gistau V, de Pablo J, Vilella E. 2017. Noninterventional, Naturalistic, Retrospective Study to Describe Prescription Patterns of Long-Acting Injectable Antipsychotics and the Impact of Introducing a New Atypical Antipsychotic in the Spanish Province of Tarragona Catchment Area. The Primary Care Companion For CNS Disorders, 19(02):1-4. DOI:10.4088/PCC.16m02044

Castillo V, Lázaro JT, Sardanyés J. 2017. Dynamics and bifurcations in a simple quasispecies model of tumorigenesis. Computational and Applied Mathematics, 36(1):415-431. DOI:10.1007/s40314-015-0234-3

Amor DR, Montañez R, Duran-Nebreda S, Solé R. 2017. Spatial dynamics of synthetic microbial mutualists and their parasites. PLoS computational biology, 13(8):e1005689. DOI:10.1371/journal.pcbi.1005689

Aguilar D, Pinart M, Koppelman GH, Saeys Y, Nawijn MC, Postma DS, Akdis M, Auffray C, Ballereau S, Benet M, García-Aymerich J, González JR, Guerra S, Keil T, Kogevinas M, Lambrecht B, Lemonnier N, Melen E, Sunyer J, Valenta R, Valverde S, Wickman M, Bousquet J, Oliva B, Antó JM. 2017. Computational analysis of multimorbidity between asthma, eczema and rhinitis. PLoS ONE, 12(6):1-26. DOI:10.1371/journal.pone.0179125

Willemsen A, Zwart MP, Higueras P, Sardanyés J, Elena SF. 2016. Predicting the stability of homologous gene duplications in a plant RNA virus. Genome Biology and Evolution, 8(9):3065-3082. DOI:10.1093/gbe/evw219

Valverde S. 2016. Major transitions in information technology. Philosophical Transactions of the Royal Society B: Biological Sciences, 371(1701). DOI:10.1098/rstb.2015.0450

Urrios A, Macia J, Manzoni R, Conde N, Bonforti A, de Nadal E, Posas F, Solé R. 2016. A Synthetic Multicellular Memory Device. ACS Synthetic Biology, 5(8):862-873. DOI:10.1021/acssynbio.5b00252

Solé R, Amor DR, Valverde S. 2016. On singularities and black holes in combination-driven models of technological innovation networks. PLoS ONE, 11(1):1-13. DOI:10.1371/journal.pone.0146180

Solé R, Amor DR, Duran-Nebreda S, Conde-Pueyo N, Carbonell-Ballestero M, Montañez R. 2016. Synthetic collective intelligence. BioSystems, 148:47-61. DOI:10.1016/j.biosystems.2016.01.002

Solé R. 2016. The major synthetic evolutionary transitions. Philosophical Transactions of the Royal Society B: Biological Sciences, 371(1701). DOI:10.1098/rstb.2016.0175

Solé R. 2016. Synthetic transitions: Towards a new synthesis. Philosophical Transactions of the Royal Society B: Biological Sciences, 371(1701). DOI:10.1098/rstb.2015.0438

Ollé-Vila A, Duran-Nebreda S, Conde-Pueyo N, Montañez R, Solé R. 2016. A morphospace for synthetic organs and organoids: the possible and the actual. Integrative Biology (United Kingdom, 8(4):485-503. DOI:10.1039/c5ib00324e

Macia J, Manzoni R, Conde N, Urrios A, de Nadal E, Solé R, Posas F. 2016. Implementation of Complex Biological Logic Circuits Using Spatially Distributed Multicellular Consortia. PLoS Computational Biology, 12(2):1-24. DOI:10.1371/journal.pcbi.1004685

Duran-Nebreda S, Solé R V. 2016. Toward Synthetic Spatial Patterns in Engineered Cell Populations with Chemotaxis. ACS Synthetic Biology, 5(7):654-661. DOI:10.1021/acssynbio.5b00254

Duran-Nebreda S, Bonforti A, Montañez R, Valverde S, Solé R. 2016. Emergence of proto-organisms from bistable stochastic differentiation and adhesion. Journal of the Royal Society Interface, 13(117). DOI:10.1098/rsif.2016.0108

de Lorenzo V, Marlière P, Solé R. 2016. Bioremediation at a global scale: from the test tube to planet Earth. Microbial Biotechnology, 9(5):618-625. DOI:10.1111/1751-7915.12399

Carbonell-Ballestero M, Garcia-Ramallo E, Montañez R, Rodriguez-Caso C, Macía J. 2016. Dealing with the genetic load in bacterial synthetic biology circuits: Convergences with the Ohm’s law. Nucleic Acids Research, 44(1):496-507. DOI:10.1093/nar/gkv1280

Bonforti A, Duran-Nebreda S, Montañez R, Solé R. 2016. Spatial self-organization in hybrid models of multicellular adhesion. Chaos, 26(10). DOI:10.1063/1.4965992

Valverde S, Sole RV. 2015. Punctuated equilibrium in the large-scale evolution of programming languages. Journal of the Royal Society Interface, 12(107). DOI:10.1098/rsif.2015.0249

Valverde S, Solé RV. 2015. A cultural diffusion model for the rise and fall of programming languages. Human Biology, 87(3):224-234. DOI:10.13110/humanbiology.87.3.0224

Valverde S, Ohse S, Turalska M, West BJ, Garcia-Ojalvo J. 2015. Structural determinants of criticality in biological networks. Frontiers in Physiology, 6(may):1-9. DOI:10.3389/fphys.2015.00127

Solé R. 2015. Bioengineering the biosphere? Ecological Complexity, 22:40-49. DOI:10.1016/j.ecocom.2015.01.005

Solé RV, Montañez R, Duran-Nebreda S. 2015. Synthetic circuit designs for earth terraformation. Biology Direct, 10(1):1-10. DOI:10.1186/s13062-015-0064-7

Shirt-Ediss B, Solé R V, Ruiz-Mirazo K. 2015. Emergent chemical behavior in variable-volume protocells. Life, 5(1):181-211. DOI:10.3390/life5010181

Seoane LF, Solé R. 2015. Phase transitions in Pareto optimal complex networks. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 92(3):1-12. DOI:10.1103/PhysRevE.92.032807

Sardanyés J, Bonforti A, Conde N, Solé R, Macia J. 2015. Computational implementation of a tunable multicellular memory circuit for engineered eukaryotic consortia. Frontiers in Physiology, 6(oct):1-13. DOI:10.3389/fphys.2015.00281

Sardanyés J, Rodrigues C, Januário C, Martins N, Gil-Gómez G, Duarte J. 2015. Activation of effector immune cells promotes tumor stochastic extinction: A homotopy analysis approach. Applied Mathematics and Computation, 252:484-495. DOI:10.1016/j.amc.2014.12.005

Guillamon A, Fontich E, Sardanyés J. 2015. Bifurcations analysis of oscillating hypercycles. Journal of Theoretical Biology, 387:23-30. DOI:10.1016/j.jtbi.2015.09.018

Duarte J, Rodrigues C, Januário C, Martins N, Sardanyés J. 2015. How Complex, Probable, and Predictable is Genetically Driven Red Queen Chaos?. Acta Biotheoretica, 63(4):341-361. DOI:10.1007/s10441-015-9254-z

Avena-Koenigsberger A, Goñi J, Soleeé R, Sporns O. 2015. Network morphospace. Journal of the Royal Society Interface, 12(103). DOI:10.1098/rsif.2014.0881

Solé R V., Valverde S, Rodriguez-Caso C, Sardanyés J. 2014. Can a minimal replicating construct be identified as the embodiment of cancer?. BioEssays, 36(5):503-512. DOI:10.1002/bies.201300098

Shirt-Ediss B, Ruiz-Mirazo K, Mavelli F, Solé R V. 2014. Modelling lipid competition dynamics in heterogeneous protocell populations. Scientific Reports, 4. DOI:10.1038/srep05675

Sardanyés J, Simó C, Martínez R, Solé R V., Elena SF. 2014. Variability in mutational fitness effects prevents full lethal transitions in large quasispecies populations. Scientific Reports, 4. DOI:10.1038/srep04625

Macia J, Sole R. 2014. How to make a synthetic multicellular computer. PLoS ONE, 9(2). DOI:10.1371/journal.pone.0081248

Hillung J, Cuevas JM, Valverde S, Elena SF. 2014. Experimental evolution of an emerging plant virus in host genotypes that differ in their susceptibility to infection. Evolution, 68(9):2467-2480. DOI:10.1111/evo.12458

Gautrais J, Buhl J, Valverde S, Kuntz P, Theraulaz G. 2014. The role of colony size on tunnel branching morphogenesis in ant nests. PLoS ONE, 9(10):1-11. DOI:10.1371/journal.pone.0109436

Corominas-Murtra B, Fortuny J, Solé R V. 2014. Towards a mathematical theory of meaningful communication. Scientific Reports, 4:1-8. DOI:10.1038/srep04587

Carbonell-Ballestero M, Duran-Nebreda S, Montañez R, Solé R, Macía J, Rodríguez-Caso C. 2014. A bottom-up characterization of transfer functions for synthetic biology designs: Lessons from enzymology. Nucleic Acids Research, 42(22):14060-14069. DOI:10.1093/nar/gku964

Azzurro E, Tuset VM, Lombarte A, Maynou F, Simberloff D, Rodríguez-Pérez A, Solé RV. 2014. External morphology explains the success of biological invasions. Ecology Letters, 17(11):1455-1463. DOI:10.1111/ele.12351

Amor DR, Solé R V. 2014. Catastrophic shifts and lethal thresholds in a propagating front model of unstable tumor progression. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 90(2):1-11. DOI:10.1103/PhysRevE.90.022710

Amor DR, Fort J. 2014. Cohabitation reaction-diffusion model for virus focal infections. Physica A: Statistical Mechanics and its Applications, 416:611-619. DOI:10.1016/j.physa.2014.08.023

Zwart MP, Pijlman GP, Sardanyés J, Duarte J, Januário C, Elena SF. 2013. Complex dynamics of defective interfering baculoviruses during serial passage in insect cells. Journal of Biological Physics, 39(2):327-342. DOI:10.1007/s10867-013-9317-9

Weitz JS, Poisot T, Meyer JR, Flores CO, Valverde S, Sullivan MB, Hochberg ME. 2013. Phage-bacteria infection networks. Trends in Microbiology, 21(2):82-91. DOI:10.1016/j.tim.2012.11.003

Valverde S, Solé R V. 2013. Networks and the city. Architectural Design, 83(4):112-119. DOI:10.1002/ad.1627

Solé R V., Valverde S. 2013. Before the Endless Forms: Embodied Model of Transition from Single Cells to Aggregates to Ecosystem Engineering. PLoS ONE, 8(4). DOI:10.1371/journal.pone.0059664

Solé R V., Valverde S. 2013. Macroevolution in silico: Scales, constraints and universals. Palaeontology, 56(6):1327-1340. DOI:10.1111/pala.12047

Solé R V., Macia J. 2013. Expanding the landscape of biological computation with synthetic multicellular consortia. Natural Computing, 12(4):485-497. DOI:10.1007/s11047-013-9380-y

Solé R V., Valverde S, Casals MR, Kauffman SA, Farmer D, Eldredge N. 2013. The evolutionary ecology of technological innovations. Complexity, 18(4):15-27. DOI:10.1002/cplx.21436

Seoane LF,  Solé RV. 2013. A multiobjective optimization approach to statistical mechanics. Cornell University Library

Rodríguez-Caso C. 2013. Can cell mortality determine division of labor in tissue organization?. Journal of Theoretical Biology, 332:161-170. DOI:10.1016/j.jtbi.2013.05.001

Otero-Espinar M V., Seoane LF, Nieto JJ, Mira J. 2013. An analytic solution of a model of language competition with bilingualism and interlinguistic similarity. Physica D: Nonlinear Phenomena, 264:17-26. DOI:10.1016/j.physd.2013.08.011

Fort J, Solé R V. 2013. Accelerated tumor invasion under non-isotropic cell dispersal in glioblastomas. New Journal of Physics, 15. DOI:10.1088/1367-2630/15/5/055001

Duarte J, Januário C, Rodrigues C, Sardanyés J. 2013. Topological complexity and predictability in the dynamics of a tumor growth model with Shilnikov’s chaos. International Journal of Bifurcation and Chaos, 23(7). DOI:10.1142/S0218127413501241

Corominas-Murtra B, Goñi J, Solé R V., Rodríguez-Caso C. 2013. On the origins of hierarchy in complex networks. Proceedings of the National Academy of Sciences of the United States of America, 110(33):13316-13321. DOI:10.1073/pnas.1300832110

Widder S, Solé R, Macía J. 2012. Evolvability of feed-forward loop architecture biases its abundance in transcription networks. BMC Systems Biology, 6. DOI:10.1186/1752-0509-6-7

Valverde S, Solé R V, Elena SF. 2012. Evolved modular epistasis in artificial organisms. Artificial Life 13: Proceedings of the 13th International Conference on the Simulation and Synthesis of Living Systems, ALIFE 2012. 111-115. DOI:10.7551/978-0-262-31050-5-ch016

Macía J, Posas F, Solé R V. 2012. Distributed computation: The new wave of synthetic biology devices. Trends in Biotechnology, 30(6):342-349. DOI:10.1016/j.tibtech.2012.03.006

Macía J, Solé R V., Elena SF. 2012. The causes of epistasis in genetic networks. Evolution, 66(2):586-596. DOI:10.1111/j.1558-5646.2011.01451.x

Regot S, Macia J, Conde N, Furukawa K, Kjellén J, Peeters T, Hohmann S, de Nadal E, Posas F, Solé R. 2011. Distributed biological computation with multicellular engineered networks. Nature, 469(7329):207-211. DOI:10.1038/nature09679

Flores CO, Meyer JR, Valverde S, Farr L, Weitz JS. 2011. Statistical structure of host-phage interactions. Proceedings of the National Academy of Sciences of the United States of America, 108(28):1-10. DOI:10.1073/pnas.1101595108

Corominas-Murtra B, Fortuny J, Solé R V. 2011. Emergence of Zipf’s law in the evolution of communication. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 83(3):1-7. DOI:10.1103/PhysRevE.83.036115

Corominas-Murtra B, Rodríguez-Caso C, Goñi J, Solé R. 2011. Measuring the hierarchy of feedforward networks. Chaos, 21(1). DOI:10.1063/1.3562548