The Universal Critical Dynamics of Noisy Neurons

Simple item page
dc.contributor.advisorDavidsen, Jörn
dc.contributor.authorKorchinski, Daniel James
dc.contributor.committeememberFeder, David L.
dc.contributor.committeememberSimon, Ch M.
dc.date2019-06
dc.date.accessioned2019-05-08T15:34:59Z
dc.date.available2019-05-08T15:34:59Z
dc.date.issued2019-05-02
dc.description.abstractThe criticality hypothesis posits that the brain operates near a critical point. Typically, critical neurons are assumed to spread activity like a simple branching process and thus fall into the universality class of directed percolation. The branching process describes activity spreading from a single initiation site, an assumption that can be violated in real neurons where external drivers and noise can initiate multiple concurrent and independent cascades. In this thesis, I use the network structure of neurons to disentangle independent cascades of activity. Using a combination of numerical simulations and mathematical modelling, I show that criticality can exist in noisy neurons but that the presence of noise changes the underlying universality class from directed to undirected percolation. Directed percolation describes only small scale distributions of activity, on larger scales cascades can merge together and undirected percolation is the appropriate description.en_US
dc.identifier.citationKorchinski, D. J. (2019). The Universal Critical Dynamics of Noisy Neurons (Master's thesis, University of Calgary, Calgary, Canada). Retrieved from https://prism.ucalgary.ca.en_US
dc.identifier.doihttp://dx.doi.org/10.11575/PRISM/36501
dc.identifier.urihttp://hdl.handle.net/1880/110325
dc.language.isoengen_US
dc.publisher.facultyScienceen_US
dc.publisher.institutionUniversity of Calgaryen
dc.rightsUniversity of Calgary graduate students retain copyright ownership and moral rights for their thesis. You may use this material in any way that is permitted by the Copyright Act or through licensing that has been assigned to the document. For uses that are not allowable under copyright legislation or licensing, you are required to seek permission.en_US
dc.subjectPercolationen_US
dc.subjectBranching processen_US
dc.subjectNoiseen_US
dc.subjectSpontaneous Activityen_US
dc.subjectNeuronsen_US
dc.subjectCriticalityen_US
dc.subjectCritical phenomenaen_US
dc.subjectcritical phenomenonen_US
dc.subjectCriticality hypothesisen_US
dc.subjectBrainen_US
dc.subjectPhase transitionen_US
dc.subjectDirected percolationen_US
dc.subjectScalingen_US
dc.subjectFinite sizeen_US
dc.subjectNetworksen_US
dc.subject.classificationEducation--Mathematicsen_US
dc.subject.classificationNeuroscienceen_US
dc.subject.classificationBiophysicsen_US
dc.subject.classificationPhysicsen_US
dc.titleThe Universal Critical Dynamics of Noisy Neuronsen_US
dc.typemaster thesisen_US
thesis.degree.disciplinePhysics & Astronomyen_US
thesis.degree.grantorUniversity of Calgaryen_US
thesis.degree.nameMaster of Science (MSc)en_US
ucalgary.item.requestcopytrue
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
ucalgary_2019_korchinski_daniel.pdf
Size:
2.3 MB
Format:
Adobe Portable Document Format
Description:
Main thesis file
Download
License bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
1.74 KB
Format:
Item-specific license agreed upon to submission
Description:
Download
Collections
Open Theses and Dissertations