Stability analysis of a state-dependent delay differential equation for cell maturation: analytical and numerical methods

JOURNAL OF MATHEMATICAL BIOLOGY Volume 79 Issue 1 Page 281-328 published_at 2019-07
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Title
Stability analysis of a state-dependent delay differential equation for cell maturation: analytical and numerical methods
Creator
Getto Philipp
Gyllenberg Mats
Nakata Yukihiko
Scarabel Francesca
Source Title
JOURNAL OF MATHEMATICAL BIOLOGY
Volume 79
Issue 1
Start Page 281
End Page 328
Journal Identifire
ISSN 0303-6812
EISSN 1432-1416
Subjects
Characteristic equation; Pseudospectral; Linearised stability; Threshold-type delay; Stem cell; Progenitor phase ( Other)
Language
eng
Resource Type journal article
Publisher
SPRINGER HEIDELBERG
Date of Issued 2019-07
Access Rights metadata only access
Relation
[DOI] 10.1007/s00285-019-01357-0
[PMID] 31004216
Remark Open access funding provided by University of Helsinki including Helsinki University Central Hospital. The authors would like to thank Maria dM Vivanco and Anna Marciniak-Czochra for discussions on cell biology. Ph.G. would like to thank Jan Sieber for discussions and preliminary computations for the model. The authors also acknowledge three anonymous reviewers for their constructive comments. Most of the revisions were conducted while Ph.G., M.G., and F.S. were in residence at Institut Mittag-Leffler in Djursholm, Sweden, during the fall semester of 2018.