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Final Published version
Affiliation
Univ Arizona, Ctr Gamma Ray ImagingUniv Arizona, Program Appl Math
Univ Arizona, Dept Med Imaging
Univ Arizona, Coll Opt Sci
Issue Date
2018-06-29
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PUBLIC LIBRARY SCIENCECitation
Henscheid N, Clarkson E, Myers KJ, Barrett HH (2018) Physiological random processes in precision cancer therapy. PLoS ONE 13(6): e0199823. https://doi.org/10.1371/journal.pone.0199823Journal
PLOS ONERights
This is an open access article, free of all copyright, and may be freely reproduced, distributed, transmitted, modified, built upon, or otherwise used by anyone for any lawful purpose. The work is made available under the Creative Commons CC0 public domain dedication.Collection Information
This item from the UA Faculty Publications collection is made available by the University of Arizona with support from the University of Arizona Libraries. If you have questions, please contact us at repository@u.library.arizona.edu.Abstract
Many different physiological processes affect the growth of malignant lesions and their response to therapy. Each of these processes is spatially and genetically heterogeneous; dynamically evolving in time; controlled by many other physiological processes, and intrinsically random and unpredictable. The objective of this paper is to show that all of these properties of cancer physiology can be treated in a unified, mathematically rigorous way via the theory of random processes. We treat each physiological process as a random function of position and time within a tumor, defining the joint statistics of such functions via the infinite-dimensional characteristic functional. The theory is illustrated by analyzing several models of drug delivery and response of a tumor to therapy. To apply the methodology to precision cancer therapy, we use maximum-likelihood estimation with Emission Computed Tomography (ECT) data to estimate unknown patient-specific physiological parameters, ultimately demonstrating how to predict the probability of tumor control for an individual patient undergoing a proposed therapeutic regimen.Note
Open access journal.ISSN
1932-6203PubMed ID
29958271DOI
10.1371/journal.pone.019982310.1371/journal.pone.0199823.g001
10.1371/journal.pone.0199823.g002
10.1371/journal.pone.0199823.g003
10.1371/journal.pone.0199823.g004
10.1371/journal.pone.0199823.g005
10.1371/journal.pone.0199823.g006
10.1371/journal.pone.0199823.s001
10.1371/journal.pone.0199823.s002
10.1371/journal.pone.0199823.s003
10.1371/journal.pone.0199823.s004
Version
Final published versionSponsors
National Institute of Biomedical Imaging and Bioengineering of the National Institutes of Health [R01EB000803, P41EB002035]; ARCS foundationAdditional Links
http://dx.plos.org/10.1371/journal.pone.0199823http://dx.plos.org/10.1371/journal.pone.0199823.g001
http://dx.plos.org/10.1371/journal.pone.0199823.g002
http://dx.plos.org/10.1371/journal.pone.0199823.g003
http://dx.plos.org/10.1371/journal.pone.0199823.g004
http://dx.plos.org/10.1371/journal.pone.0199823.g005
http://dx.plos.org/10.1371/journal.pone.0199823.g006
http://dx.plos.org/10.1371/journal.pone.0199823.s001
http://dx.plos.org/10.1371/journal.pone.0199823.s002
http://dx.plos.org/10.1371/journal.pone.0199823.s003
http://dx.plos.org/10.1371/journal.pone.0199823.s004
ae974a485f413a2113503eed53cd6c53
10.1371/journal.pone.0199823
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Except where otherwise noted, this item's license is described as This is an open access article, free of all copyright, and may be freely reproduced, distributed, transmitted, modified, built upon, or otherwise used by anyone for any lawful purpose. The work is made available under the Creative Commons CC0 public domain dedication.