Redes complexas: aspectos básicos, importância e aplicações

Authors

  • Tandara Oliveira Benevides Silva PPGPIOS/UFBA
  • Eslaine Santos e Santos IF/UFBA

DOI:

https://doi.org/10.38090/recs.vol6.n11.a18499

Keywords:

Sistemas Complexos, Redes, Redes complexas

Abstract

A abordagem de redes complexas apresenta um caráter multidisciplinar e consiste em uma ferramenta para a representar sistemas complexos. Na natureza, é possível visualizar tais sistemas em diversas áreas, como saúde, sociedade e epidemiologia. Esse artigo teve como objetivo apresentar aspectos básicos da teoria de redes complexas, além da sua aplicabilidade e relevância para diferentes áreas. Ademais, destacamos a importância das interações e sua dinâmica para a sociedade humana, e como isto deve ser considerado na elaboração de políticas públicas.

Downloads

Download data is not yet available.

Author Biographies

Tandara Oliveira Benevides Silva, PPGPIOS/UFBA

Doutorado em andamento em Processos Interativos dos Órgãos e Sistemas - UFBA. Mestrado em Processos Interativos dos Órgãos e Sistemas. Graduada em Ciências Biológicas pela Universidade Federal da Bahia. Tem interesse em Neurociência, com ênfase na análise da abordagem de redes dinâmicas cerebrais para o estudo de quadros patológicos. Atualmente desenvolve pesquisa com redes funcionais cerebrais na UFBA.

Eslaine Santos e Santos, IF/UFBA

Possui graduação em Bacharelado em Física pela Universidade Federal da Bahia(2011), mestrado em Física pela Universidade Federal da Bahia(2015), doutorado em Física pela Universidade Federal da Bahia(2021) e pós-doutorado pelo Centro de Integração de Dados e Conhecimentos para Saúde(2022). Atuando principalmente nos seguintes temas:Redes Complexas, Redes Funcionais Cerebrais, Neurociência, TVG, Rede Estática Agregada.

References

ALAMSYAH, Andry et al. Transaction Network Structural Shift under Crisis: Macro and Micro Perspectives. Economies, v. 10, n. 3, p. 56, 2022.

ANDRADE, R. F. S.; MIRANDA, J. G. V; PINHO, S. T. R.; LOBÃO, T. P. Characterization of complex networks by higher order neighborhood properties. European Physical Journal B, [S. l.], v. 61, n. 2, p. 247–256, 2008. a. DOI:10.1140/epjb/e2008-00049-5..

ANDRADE, Roberto F. S.; MIRANDA, José G. V; PINHO, Suani T. R.; LOBÃO, Thierry Petit. Measuring distances between complex networks. Physics Letters, Section A: General, Atomic and Solid State Physics, [S. l.], v. 372, n. 32, p. 5265–5269, 2008. b. DOI: 10.1016/j.physleta.2008.06.044.

ARAÚJO, Marcio Luis Valença; MIRANDA, José Garcia Vivas; SAMPAIO, Renelson; MORET, Marcelo A.; ROSÁRIO, Raphael S.; SABA, Hugo. Nonlocal dispersal of dengue in the state of Bahia. Science of the Total Environment, [S. l.], v. 631–632, p. 40–46, 2018. DOI: 10.1016/j.scitotenv.2018.02.198. Disponível em: https://doi.org/10.1016/j.scitotenv.2018.02.198.

BARABÁSI, Albert-László. Network Science. [s.l.] Cambridge University Press, 2016.

BARABÁSI, Albert-László; ALBERT, Réka. Emergence of scaling in random networks. science, v. 286, n. 5439, p. 509-512, 1999.

BARAS, John S.; THEODORAKOPOULOS, George. Path problems in networks. [s.l: s.n.]. v. 3 DOI: 10.2200/S00245ED1V01Y201001CNT003.

BERTOLERO, Max A.; YEO, BT Thomas; D’ESPOSITO, Mark. The diverse club. Nature communications, v. 8, n. 1, p. 1-11, 2017.

BERTOLERO, Maxwell A. et al. A mechanistic model of connector hubs, modularity and cognition. Nature human behaviour, v. 2, n. 10, p. 765-777, 2018.

BERTOLERO, Maxwell A.; YEO, BT Thomas; D’ESPOSITO, Mark. The modular and integrative functional architecture of the human brain. Proceedings of the National Academy of Sciences, v. 112, n. 49, p. E6798-E6807, 2015.

BOCCALETTI, Stefano; LATORA, V.; MORENO, Y.; CHAVEZ, M.; HWANG, D. U. Complex networks: Structure and dynamics. Physics Reports, [S. l.], v. 424, n. 4–5, p. 175–308, 2006. DOI: 10.1016/j.physrep.2005.10.009.

BRANDES, Ulrik. A faster algorithm for betweenness centrality. Journal of mathematical sociology, v. 25, n. 2, p. 163-177, 2001.

BRÖHL, Timo; LEHNERTZ, Klaus. Centrality-based identification of important edges in complex networks. Chaos: An Interdisciplinary Journal of Nonlinear Science, v. 29, n. 3, p. 033115, 2019.

BUCKNER, Randy L. et al. Cortical hubs revealed by intrinsic functional connectivity: mapping, assessment of stability, and relation to Alzheimer's disease. Journal of neuroscience, v. 29, n. 6, p. 1860-1873, 2009.

BUCKNER, Randy L. et al. Molecular, structural, and functional characterization of Alzheimer's disease: evidence for a relationship between default activity, amyloid, and memory. Journal of neuroscience, v. 25, n. 34, p. 7709-7717, 2005.

BULLMORE, Ed; SPORNS, Olaf. Complex brain networks: graph theoretical analysis of structural and functional systems. Nature reviews neuroscience, v. 10, n. 3, p. 186-198, 2009.

BULLMORE, Ed; SPORNS, Olaf. The economy of brain network organization. Nature reviews neuroscience, v. 13, n. 5, p. 336-349, 2012.

COSTA, L. Da F.; RODRIGUES, F. A.; TRAVIESO, G.; BOAS, P. R. Villas. Characterization of complex networks: A survey of measurements. Advances in Physics, [S. l.], v. 56, n. 1, p. 167–242, 2007. DOI: 10.1080/00018730601170527.

CROSSLEY, Nicolas A. et al. Altered hub functioning and compensatory activations in the connectome: a meta-analysis of functional neuroimaging studies in schizophrenia. Schizophrenia bulletin, v. 42, n. 2, p. 434-442, 2016.

DAI, Zhengjia; HE, Yong. Disrupted structural and functional brain connectomes in mild cognitive impairment and Alzheimer’s disease. Neuroscience Bulletin, v. 30, n. 2, p. 217-232, 2014.

DIESTEL, Reinhard. Graph Theory. Heidelberg: Springer, 2006. DOI: 10.1109/IEMBS.2010.5626521.

DRZEZGA, Alexander et al. Neuronal dysfunction and disconnection of cortical hubs in non-demented subjects with elevated amyloid burden. Brain, v. 134, n. 6, p. 1635-1646, 2011.

ENRIGHT, Jessica; KAO, Rowland Raymond. Epidemics on dynamic networks. Epidemics, v. 24, p. 88-97, 2018.

FORNITO, Alex; ZALESKY, Andrew; BULLMORE, Edward T. Fundamentals of Brain Network Analysis. 1. ed. [s.l.] : Elsevier, 2016. DOI: 10.1016/C2012-0-06036-X.

FREITAS, Vander Luis de Souza et al. The correspondence between the structure of the terrestrial mobility network and the spreading of COVID-19 in Brazil. Cadernos de Saúde Pública, v. 36, p. e00184820, 2020.

GIANNOCCARO, Ilaria. Advances on the Resilience of Complex Networks.

GRIFFA, Alessandra; VAN DEN HEUVEL, Martijn P. Rich-club neurocircuitry: function, evolution, and vulnerability, Dialogues in Clinical Neuroscience, v. 20, n.2, p. 121-132, 2018.

HENDRON, Ross William S.; BONSALL, Michael B. The interplay of vaccination and vector control on small dengue networks. Journal of Theoretical Biology, [S. l.], v. 407, p. 349–361, 2016. DOI: 10.1016/j.jtbi.2016.07.034. Disponível em: http://dx.doi.org/10.1016/j.jtbi.2016.07.034.

JOYCE, Karen E.; HAYASAKA, Satoru; LAURIENTI, Paul J. The human functional brain network demonstrates structural and dynamical resilience to targeted attack. PLoS computational biology, v. 9, n. 1, p. e1002885, 2013.

KERTÉSZ, János et al. Modeling the Complex Network of Social Interactions. In: Pathways Between Social Science and Computational Social Science. Springer, Cham, 2021. p. 3-19.

KRAMER, Mark A.; CASH, Sydney S. Epilepsy as a disorder of cortical network organization. The Neuroscientist, v. 18, n. 4, p. 360-372, 2012

LATORA, Vito; NICOSIA, Vincenzo; RUSSO, Giovanni. Complex networks: principles, methods and applications. Cambridge University Press, 2017.

LABONTE, Ronald. Globalization and health. International Encyclopedia of the Social & Behavioral Sciences, p. 198, 2015.

LEE, Kangjoo et al. Disruption, emergence and lateralization of brain network hubs in mesial temporal lobe epilepsy. NeuroImage: Clinical, v. 20, p. 71-84, 2018.

LI, Dandan et al. Reduced hemispheric asymmetry of brain anatomical networks in attention deficit hyperactivity disorder. Brain imaging and behavior, v. 13, n. 3, p. 669-684, 2019.

LI, Li; ZHANG, Jie; LIU, Chen; ZHANG, Hong Tao; WANG, Yi; WANG, Zhen. Analysis of transmission dynamics for Zika virus on networks. Applied Mathematics and Computation, [S. l.], v. 347, p. 566–577, 2019. DOI: 10.1016/j.amc.2018.11.042.

LI, Rong et al. Disrupted structural and functional rich club organization of the brain connectome in patients with generalized tonic‐clonic seizure. Human brain mapping, v. 37, n. 12, p. 4487-4499, 2016.

LIANG, Jiali et al. Increased intrinsic default-mode network activity as a compensatory mechanism in aMCI: a resting-state functional connectivity MRI study. Aging (Albany NY), v. 12, n. 7, p. 5907, 2020.

LICCIARDI JR, A. N.; MONTEIRO, L. H. A. A complex network model for a society with socioeconomic classes. Mathematical Biosciences and Engineering, v. 19, n. 7, p. 6731-6742, 2022.

MALIK, Hafiz Abid Mahmood; ABID, Faiza; WAHIDDIN, Mohamed Ridza; WAQAS, Ahmad. Modeling of internal and external factors affecting a complex dengue network. Chaos, Solitons and Fractals, [S. l.], v. 144, p. 110694, 2021. DOI: 10.1016/j.chaos.2021.110694. Disponível em: https://doi.org/10.1016/j.chaos.2021.110694

NEWMAN, Mark EJ. The mathematics of networks. The new palgrave encyclopedia of economics, v. 2, n. 2008, p. 1-12, 2008.

NEWMAN, Mark. Networks: An Introduction. Oxford, UK: Oxford University Press, 2010.

NUSSENZVEIG, H. Moysés. Complexidade e caos. Rio de janeiro: UFRJ/COPEA, 1999.

MESSIER, Christian et al. The functional complex network approach to foster forest resilience to global changes. Forest Ecosystems, v. 6, n. 1, p. 1-16, 2019.

PEGG, Emily J. et al. Functional network topology in drug resistant and well-controlled idiopathic generalized epilepsy: a resting state functional MRI study. Brain communications, v. 3, n. 3, p. fcab196, 2021.

ROGER, Elise et al. Hubs disruption in mesial temporal lobe epilepsy. A resting‐state fMRI study on a language‐and‐memory network. Human brain mapping, v. 41, n. 3, p. 779-796, 2020.

ROSÁRIO, R. S. et al. Motif-Synchronization: A new method for analysis of dynamic brain networks with EEG. Physica A: Statistical Mechanics and its Applications, v. 439, p. 7-19, 2015.

RUOHONEN, Keijo. Graph theory. [s.l.] : Tampere University of Technology 2008, 2013.

SANTOS, Eslaine Santos e. Caracterização dos tempos de atraso na sincronização das redes funcionais cerebrais. 2021. 113 f. Tese (Doutorado) - Curso de Física, Universidade Federal da Bahia, Salvador, 2021.

SANTOS, Eslaine S. et al. Complex network analysis of arboviruses in the same geographic domain: Differences and similarities. Chaos, Solitons & Fractals, [S. l.], v. 168, p. 113134, 2023. DOI: 10.1016/j.chaos.2023.113134. Disponível em: https://linkinghub.elsevier.com/retrieve/pii/S0960077923000358.

SILVA, Tandara Oliveira Benevides. Caracterização da dinâmica de redes funcionais de sincronia cerebral em epilepsia. 2021. Dissertação (Mestrado em Processos Interativos dos Órgãos e Sistemas) - Universidade Federal da Bahia, Salvador, 2021.

SIZEMORE, Ann E.; BASSETT, Danielle S. Dynamic graph metrics: Tutorial, toolbox, and tale. NeuroImage, v. 180, p. 417-427, 2018.

SPORNS, Olaf; BETZEL, Richard F. Modular brain networks. Annual review of psychology, v. 67, p. 613, 2016.

STAM, C. J. Characterization of anatomical and functional connectivity in the brain: a complex networks perspective. International Journal of Psychophysiology, v. 77, n. 3, p. 186-194, 2010

STAM, CJ van; VAN STRAATEN, E. C. W. The organization of physiological brain networks. Clinical neurophysiology, v. 123, n. 6, p. 1067-1087, 2012.

STAM, Cornelis J. Modern network science of neurological disorders. Nature Reviews Neuroscience, v. 15, n. 10, p. 683-695, 2014.

WATTS, Duncan J.; STROGATZ, Steven H. Collective dynamics of ‘small-world’networks. nature, v. 393, n. 6684, p. 440-442, 1998.

YUN, Je-Yeon; KIM, Yong-Ku. Graph theory approach for the structural-functional brain connectome of depression. Progress in Neuro-Psychopharmacology and Biological Psychiatry, v. 111, p. 110401, 2021.

ZHU, Sha et al. The connectedness of the coronavirus disease pandemic in the world: A study based on complex network analysis. Frontiers in Physics, v. 8, p. 602075, 2021.

Published

2024-06-05

How to Cite

OLIVEIRA BENEVIDES SILVA, T.; SANTOS E SANTOS, E. Redes complexas: aspectos básicos, importância e aplicações. Revista Educação e Ciências Sociais, [S. l.], v. 6, n. 11, p. 28–49, 2024. DOI: 10.38090/recs.vol6.n11.a18499. Disponível em: https://revistas.uneb.br/index.php/cienciassociais/article/view/18499. Acesso em: 17 jul. 2024.