PMID: 11607561Jul 18, 1995Paper

Complexity, contingency, and criticality

Proceedings of the National Academy of Sciences of the United States of America
P Bak, M Paczuski

Abstract

Complexity originates from the tendency of large dynamical systems to organize themselves into a critical state, with avalanches or "punctuations" of all sizes. In the critical state, events which would otherwise be uncoupled become correlated. The apparent, historical contingency in many sciences, including geology, biology, and economics, finds a natural interpretation as a self-organized critical phenomenon. These ideas are discussed in the context of simple mathematical models of sandpiles and biological evolution. Insights are gained not only from numerical simulations but also from rigorous mathematical analysis.

References

May 23, 1995·Proceedings of the National Academy of Sciences of the United States of America·K SneppenM H Jensen
Nov 18, 1993·Nature·S J Gould, N Eldredge
Mar 28, 1986·Science·D M Raup
Mar 19, 1982·Science·D M Raup, J J Sepkoski

❮ Previous
Next ❯

Citations

Aug 7, 2012·Experimental Brain Research·Vivien Marmelat, Didier Delignières
Jan 12, 2012·Journal of Computational Neuroscience·Lawrence Sirovich
Mar 6, 2004·Advances in Space Research : the Official Journal of the Committee on Space Research (COSPAR)·J S Torday
Jun 9, 2001·Biological Reviews of the Cambridge Philosophical Society·T Gisiger
May 24, 2008·Proceedings of the National Academy of Sciences of the United States of America·Elakkat D Gireesh, Dietmar Plenz
Sep 1, 2009·Proceedings of the National Academy of Sciences of the United States of America·Thomas PetermannDietmar Plenz
Apr 5, 2012·Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences·R J Wasson
Apr 6, 2006·Doklady. Biochemistry and Biophysics·S I Bartsev, O D Bartseva
Nov 19, 2011·Neural Computation·Dimitrije Marković, Claudius Gros
Jul 10, 2004·BMC Neuroscience·Susan M MaskeryTroy Shinbrot
Mar 21, 2009·PLoS Computational Biology·Manfred G KitzbichlerEd Bullmore
Jan 14, 2012·PLoS Computational Biology·Christian MeiselThilo Gross
Mar 1, 2012·PloS One·Christian Meisel, Christian Kuehn
Mar 5, 2002·Proceedings of the National Academy of Sciences of the United States of America·J M Carlson, John Doyle
Jun 13, 2014·Brain : a Journal of Neurology·Viktor K JirsaChristophe Bernard
Jun 12, 2012·Expert Opinion on Drug Discovery·Zhong WangYongyan Wang
Mar 18, 2004·The American Naturalist·Juan Armando SánchezMichael J Woldenberg
Mar 23, 2013·Current Opinion in Structural Biology·Philip N Bryan, John Orban
Apr 7, 2010·Trends in Cognitive Sciences·Christopher T KelloGuy C Van Orden
Dec 18, 2007·Journal of Neuroscience Methods·Craig V Stewart, Dietmar Plenz
Apr 24, 2012·International Journal of Psychology : Journal International De Psychologie·Xavier BornasJordi Llabrés
Feb 22, 2005·Clinical Neurophysiology : Official Journal of the International Federation of Clinical Neurophysiology·C J StamPh Scheltens
Sep 5, 2006·Neural Networks : the Official Journal of the International Neural Network Society·Yoram Louzoun, Henri Atlan
Apr 29, 2015·Heart Rhythm : the Official Journal of the Heart Rhythm Society·Shahriar Iravanian, Jonathan J Langberg
Jan 9, 2015·Cortex; a Journal Devoted to the Study of the Nervous System and Behavior·Emiliano SantarnecchiAlessandro Rossi
Jun 26, 2013·Journal of Theoretical Biology·David V FosterJacob G Foster
May 29, 2012·Cell·Doeke R Hekstra, Stanislas Leibler
Jan 13, 1998·Vision Research·D L Ruderman
Nov 17, 2010·Journal of Theoretical Biology·Petri P Kärenlampi
Sep 17, 2014·Bio Systems·Bradly Alicea, Richard Gordon
Oct 7, 2014·Clinical Neurophysiology : Official Journal of the International Federation of Clinical Neurophysiology·Robert B YaffeSridevi V Sarma
Nov 5, 2014·PloS One·José M Miotto, Eduardo G Altmann
Aug 30, 2016·Lancet Neurology·Orrin DevinskyGeorge Richerson
Sep 15, 2016·Heliyon·Petri P Kärenlampi
Nov 5, 2016·Neuroscience·Anthony G HudetzGeorge A Mashour
Aug 29, 2009·Biological Research for Nursing·Joseph P Zbilut
Jan 1, 2011·Life·Erik D Andrulis
Apr 19, 2018·The International Journal of Neuroscience·Doungporn RuthiragoKenneth Nugent

❮ Previous
Next ❯

Trending Feeds

COVID-19

Coronaviruses encompass a large family of viruses that cause the common cold as well as more serious diseases, such as the ongoing outbreak of coronavirus disease 2019 (COVID-19; formally known as 2019-nCoV). Coronaviruses can spread from animals to humans; symptoms include fever, cough, shortness of breath, and breathing difficulties; in more severe cases, infection can lead to death. This feed covers recent research on COVID-19.

Blastomycosis

Blastomycosis fungal infections spread through inhaling Blastomyces dermatitidis spores. Discover the latest research on blastomycosis fungal infections here.

Nuclear Pore Complex in ALS/FTD

Alterations in nucleocytoplasmic transport, controlled by the nuclear pore complex, may be involved in the pathomechanism underlying multiple neurodegenerative diseases including Amyotrophic Lateral Sclerosis and Frontotemporal Dementia. Here is the latest research on the nuclear pore complex in ALS and FTD.

Applications of Molecular Barcoding

The concept of molecular barcoding is that each original DNA or RNA molecule is attached to a unique sequence barcode. Sequence reads having different barcodes represent different original molecules, while sequence reads having the same barcode are results of PCR duplication from one original molecule. Discover the latest research on molecular barcoding here.

Chronic Fatigue Syndrome

Chronic fatigue syndrome is a disease characterized by unexplained disabling fatigue; the pathology of which is incompletely understood. Discover the latest research on chronic fatigue syndrome here.

Evolution of Pluripotency

Pluripotency refers to the ability of a cell to develop into three primary germ cell layers of the embryo. This feed focuses on the mechanisms that underlie the evolution of pluripotency. Here is the latest research.

Position Effect Variegation

Position Effect Variagation occurs when a gene is inactivated due to its positioning near heterochromatic regions within a chromosome. Discover the latest research on Position Effect Variagation here.

STING Receptor Agonists

Stimulator of IFN genes (STING) are a group of transmembrane proteins that are involved in the induction of type I interferon that is important in the innate immune response. The stimulation of STING has been an active area of research in the treatment of cancer and infectious diseases. Here is the latest research on STING receptor agonists.

Microbicide

Microbicides are products that can be applied to vaginal or rectal mucosal surfaces with the goal of preventing, or at least significantly reducing, the transmission of sexually transmitted infections. Here is the latest research on microbicides.