Yawer H. Shah, Luigi Palatella, Korosh Mahmoodi, Orazio S. Santonocito, Mariangela Morelli, Gianmarco Ferri, Chiara M. Mazzanti, Paolo Grigolini, Bruce J. West
{"title":"Cell Motility in Cancer, Crucial Events, Criticality, and Lévy Walks","authors":"Yawer H. Shah, Luigi Palatella, Korosh Mahmoodi, Orazio S. Santonocito, Mariangela Morelli, Gianmarco Ferri, Chiara M. Mazzanti, Paolo Grigolini, Bruce J. West","doi":"arxiv-2403.14842","DOIUrl":null,"url":null,"abstract":"The analysis of glioblastoma (GB) cell locomotion and its modeling inspired\nby Levy random walks is presented herein. We study such walks occurring on a\ntwo-dimensional plane where the walk is similar to the motion of a bird flying\nwith a constant velocity, but with random changes of direction in time. The\nintelligence of the bird is signaled by the instantaneous changes of flying\ndirection, which become invisible in the time series obtained by projecting the\n2D walk either on the x axis or the y axis. We establish that the projected 1D\ntime series share the statistical complexity of time series frequently used to\nmonitor physiological processes, shedding light on the role of crucial events\n(CE-s) in pathophysiology. Such CE-s are signified by abrupt changes of flying\ndirection which are invisible in the 1D physiological time series. We establish\na connection between the complex scaling index \\delta generated by the CE-s\nthrough \\mu_{R} = 2 - \\delta , where \\mu_{R} is the inverse power law index of\nthe probability density function of the time interval between consecutive\nfailures of the process of interest. We argue that the identification of\nempirical indices along with their theoretical relations afford important\nmeasures to control cancer.","PeriodicalId":501305,"journal":{"name":"arXiv - PHYS - Adaptation and Self-Organizing Systems","volume":"19 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-03-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - PHYS - Adaptation and Self-Organizing Systems","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2403.14842","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
The analysis of glioblastoma (GB) cell locomotion and its modeling inspired
by Levy random walks is presented herein. We study such walks occurring on a
two-dimensional plane where the walk is similar to the motion of a bird flying
with a constant velocity, but with random changes of direction in time. The
intelligence of the bird is signaled by the instantaneous changes of flying
direction, which become invisible in the time series obtained by projecting the
2D walk either on the x axis or the y axis. We establish that the projected 1D
time series share the statistical complexity of time series frequently used to
monitor physiological processes, shedding light on the role of crucial events
(CE-s) in pathophysiology. Such CE-s are signified by abrupt changes of flying
direction which are invisible in the 1D physiological time series. We establish
a connection between the complex scaling index \delta generated by the CE-s
through \mu_{R} = 2 - \delta , where \mu_{R} is the inverse power law index of
the probability density function of the time interval between consecutive
failures of the process of interest. We argue that the identification of
empirical indices along with their theoretical relations afford important
measures to control cancer.