Parametric analysis of histograms measured in flow cytometry

Flow cytometric histograms frequently consist of several components that show various degrees of overlap. For many types of analysis it is of great importance to decompose the original histogram into its components. To that purpose, we investigated the maximum likelihood approach in detail. It is sh...

Full description

Saved in:
Bibliographic Details
Published inCytometry (New York, N.Y.) Vol. 4; no. 1; pp. 75 - 82
Main Authors Mann, R. C., Hand, R. E., Braslawsky, G. R.
Format Journal Article
LanguageEnglish
Published Hoboken Wiley Subscription Services, Inc., A Wiley Company 01.07.1983
Subjects
Animals
Cell Cycle
Cell Line
DNA - analysis
Flow Cytometry - methods
heterogeneous cell populations
Interphase
Mathematics
Maximum likelihood estimation
Mitosis
mixture identification
Neoplasms - pathology
Probability
Rats
Trachea
Online AccessGet full text
ISSN0196-4763
1097-0320
1097-0320
DOI10.1002/cyto.990040111

Cover

Abstract Flow cytometric histograms frequently consist of several components that show various degrees of overlap. For many types of analysis it is of great importance to decompose the original histogram into its components. To that purpose, we investigated the maximum likelihood approach in detail. It is shown that the iterative method to solve the maximum likelihood equations is well behaved for a variety of initial values. Algorithms to obtain initial values are presented, and the performance of the method is tested when applied to the analysis of DNA measurements from heterogeneous cell populations that differ with respect to DNA content.
AbstractList Flow cytometric histograms frequently consist of several components that show various degrees of overlap. For many types of analysis it is of great importance to decompose the original histogram into its components. To that purpose, we investigated the maximum likelihood approach in detail. It is shown that the iterative method to solve the maximum likelihood equations is well behaved for a variety of initial values. Algorithms to obtain initial values are presented, and the performance of the method is tested when applied to the analysis of DNA measurements from heterogeneous cell populations that differ with respect to DNA content.Flow cytometric histograms frequently consist of several components that show various degrees of overlap. For many types of analysis it is of great importance to decompose the original histogram into its components. To that purpose, we investigated the maximum likelihood approach in detail. It is shown that the iterative method to solve the maximum likelihood equations is well behaved for a variety of initial values. Algorithms to obtain initial values are presented, and the performance of the method is tested when applied to the analysis of DNA measurements from heterogeneous cell populations that differ with respect to DNA content.
Flow cytometric histograms frequently consist of several components that show various degrees of overlap. For many types of analysis it is of great importance to decompose the original histogram into its components. To that purpose, we investigated the maximum likelihood approach in detail. It is shown that the iterative method to solve the maximum likelihood equations is well behaved for a variety of initial values. Algorithms to obtain initial values are presented, and the performance of the method is tested when applied to the analysis of DNA measurements from heterogeneous cell populations that differ with respect to DNA content.
Author Hand, R. E.
Mann, R. C.
Braslawsky, G. R.
Author_xml – sequence: 1
  givenname: R. C.
  surname: Mann
  fullname: Mann, R. C.
– sequence: 2
  givenname: R. E.
  surname: Hand
  fullname: Hand, R. E.
– sequence: 3
  givenname: G. R.
  surname: Braslawsky
  fullname: Braslawsky, G. R.
BackLink https://www.ncbi.nlm.nih.gov/pubmed/6617397$$D View this record in MEDLINE/PubMed
BookMark eNqFkM1LxDAUxIMouqtevQk9eev60sRkA15k8QsW9KAHT-U1TTWSNmvSsvS_t0uXFQTx9A4zv5nHTMl-4xtDyBmFGQXILnXf-plSABwopXtkQkHJFFgG-2QCVImUS8GOyDTGTwBQgrNDcigElUzJCbl-xoC1aYPVCTbo-mhj4qvkw8bWvw9STGqDsQumTGyTVM6vk03lBulPyEGFLprT7T0mr3e3L4uHdPl0_7i4Waaag6QpQ5BCCtScc8lLzajOmM4kiuqqKMAIiVJRBqW4EqasCsWUKRVjhRHIcC7YMbkcc7tmhf0anctXwdYY-pxCvpkh3_yU72YYiIuRWAX_1ZnY5rWN2jiHjfFdzOcwLACSDcbzrbEralPucrcDDfps1HXwMQZT_d_MfwHattha37QBrfsbUyO2ts70_5Tki7eXpx_2G1mrmeA
CitedBy_id crossref_primary_10_1002_cyto_990080603
crossref_primary_10_1002_cyto_990120608
crossref_primary_10_1002_cyto_990050314
crossref_primary_10_1089_adt_2007_071
crossref_primary_10_1016_0169_2607_87_90030_7
crossref_primary_10_3109_00365528709011154
crossref_primary_10_1111_j_1749_6632_1986_tb42029_x
crossref_primary_10_1089_cmb_2009_0071
crossref_primary_10_1002_cyto_990100605
crossref_primary_10_3109_00365528708996469
crossref_primary_10_1002_cyto_a_20443
crossref_primary_10_1002_cyto_990070217
crossref_primary_10_1002_cyto_990070218
crossref_primary_10_1002_cyto_990090617
crossref_primary_10_1002_cyto_a_22733
crossref_primary_10_1002_cyto_990100111
crossref_primary_10_1016_0169_2607_88_90101_0
crossref_primary_10_1002_cyto_990070114
crossref_primary_10_1007_BF00383653
crossref_primary_10_1002_cyto_990110608
Cites_doi 10.1002/cyto.990020305
10.1093/carcin/3.8.847
10.1093/biomet/56.3.463
10.1002/cyto.990030204
10.1109/TPAMI.1981.4767074
10.1111/j.1749-6632.1976.tb41607.x
10.1016/0010-4809(76)90006-9
ContentType Journal Article
Copyright Copyright © 1983 Wiley‐Liss, Inc.
Copyright_xml – notice: Copyright © 1983 Wiley‐Liss, Inc.
DBID AAYXX
CITATION
CGR
CUY
CVF
ECM
EIF
NPM
7X8
ADTOC
UNPAY
DOI 10.1002/cyto.990040111
DatabaseName CrossRef
Medline
MEDLINE
MEDLINE (Ovid)
MEDLINE
MEDLINE
PubMed
MEDLINE - Academic
Unpaywall for CDI: Periodical Content
Unpaywall
DatabaseTitle CrossRef
MEDLINE
Medline Complete
MEDLINE with Full Text
PubMed
MEDLINE (Ovid)
MEDLINE - Academic
DatabaseTitleList MEDLINE - Academic
MEDLINE
CrossRef
Database_xml – sequence: 1
  dbid: NPM
  name: PubMed
  url: https://proxy.k.utb.cz/login?url=http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?db=PubMed
  sourceTypes: Index Database
– sequence: 2
  dbid: EIF
  name: MEDLINE
  url: https://proxy.k.utb.cz/login?url=https://www.webofscience.com/wos/medline/basic-search
  sourceTypes: Index Database
– sequence: 3
  dbid: UNPAY
  name: Unpaywall
  url: https://proxy.k.utb.cz/login?url=https://unpaywall.org/
  sourceTypes: Open Access Repository
DeliveryMethod fulltext_linktorsrc
Discipline Biology
Mathematics
EISSN 1097-0320
EndPage 82
ExternalDocumentID 10.1002/cyto.990040111
6617397
10_1002_cyto_990040111
CYTO990040111
Genre article
Research Support, U.S. Gov't, Non-P.H.S
Research Support, U.S. Gov't, P.H.S
Research Support, Non-U.S. Gov't
Journal Article
GrantInformation_xml – fundername: NIEHS NIH HHS
  grantid: 40-689-78 (222-YO1-ES-20041)
GroupedDBID -~X
.GA
.GJ
.Y3
10A
1OC
24P
31~
4ZD
51W
51X
52N
52O
52P
52S
52T
52W
52X
53G
5GY
5RE
66C
7PT
8-1
8-4
8-5
930
A03
AAEVG
AAHHS
AAHQN
AAMNL
AANLZ
AAXRX
AAYCA
AAZKR
ABCUV
ABJNI
ACAHQ
ACCFJ
ACCZN
ACFBH
ACGFS
ACPOU
ACXBN
ACXQS
ADBBV
ADEOM
ADIZJ
ADMGS
ADOZA
ADZOD
AEEZP
AEIGN
AEIMD
AEQDE
AEUYR
AFBPY
AFFPM
AFGKR
AFPWT
AFWVQ
AFZJQ
AHBTC
AI.
AITYG
AIURR
AIWBW
AJBDE
ALMA_UNASSIGNED_HOLDINGS
ALUQN
AMBMR
AMYDB
BAWUL
BY8
CS3
D-F
DCZOG
DIK
DRFUL
DRSTM
E3Z
F00
F01
F04
F5P
G-S
GODZA
HGLYW
IH2
LATKE
LAW
LEEKS
LH4
LOXES
LP6
LP7
LUTES
LW6
LYRES
M56
MEWTI
MRFUL
MRSTM
MSFUL
MSSTM
MXFUL
MXSTM
NNB
OK1
P4D
Q11
QB0
QRW
ROL
SUPJJ
VH1
WIN
WQJ
WRC
WXSBR
XG1
XPP
XV2
ZGI
1OB
AAMMB
AAYXX
AEFGJ
AGXDD
AGYGG
AIDQK
AIDYY
CITATION
CGR
CUY
CVF
ECM
EIF
NPM
7X8
ADTOC
UNPAY
ID FETCH-LOGICAL-c4071-3a07676ac44474dc31c23c27a6f5bb0e67a79130d656edfb939ed933be6a3a863
IEDL.DBID UNPAY
ISSN 0196-4763
1097-0320
IngestDate Tue Aug 19 15:38:54 EDT 2025
Fri Sep 05 06:12:19 EDT 2025
Tue Aug 05 11:40:32 EDT 2025
Wed Oct 01 04:01:21 EDT 2025
Thu Apr 24 23:03:34 EDT 2025
Wed Jan 22 16:22:08 EST 2025
IsDoiOpenAccess true
IsOpenAccess true
IsPeerReviewed false
IsScholarly false
Issue 1
Language English
License http://onlinelibrary.wiley.com/termsAndConditions#vor
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c4071-3a07676ac44474dc31c23c27a6f5bb0e67a79130d656edfb939ed933be6a3a863
Notes This research was sponsored jointly by the Office of Health and Environmental Research, U.S. Department of Energy, under contract W‐7405‐eng‐26 with the Union Carbide Corporation, and the National Institute of Environmental Health Sciences under Interagency Agreement 40–689–78 (222‐YO1‐ES‐20041). This paper was originally presented at the Combined International Conference on Analytical Cytology and Cytometry IX and the 6th International Symposium on Flow Cytometry, Schloss Elmau, October 18–23, 1982.
R.C. Mann is a recipient of a Feodor–Lynen Fellowship from the Alexander von Humboldt–Foundation, Bonn, Federal Republic of Germany.
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
OpenAccessLink https://proxy.k.utb.cz/login?url=https://onlinelibrary.wiley.com/doi/pdfdirect/10.1002/cyto.990040111
PMID 6617397
PQID 80661073
PQPubID 23479
PageCount 8
ParticipantIDs unpaywall_primary_10_1002_cyto_990040111
proquest_miscellaneous_80661073
pubmed_primary_6617397
crossref_primary_10_1002_cyto_990040111
crossref_citationtrail_10_1002_cyto_990040111
wiley_primary_10_1002_cyto_990040111_CYTO990040111
ProviderPackageCode CITATION
AAYXX
PublicationCentury 1900
PublicationDate July 1983
PublicationDateYYYYMMDD 1983-07-01
PublicationDate_xml – month: 07
  year: 1983
  text: July 1983
PublicationDecade 1980
PublicationPlace Hoboken
PublicationPlace_xml – name: Hoboken
– name: United States
PublicationTitle Cytometry (New York, N.Y.)
PublicationTitleAlternate Cytometry
PublicationYear 1983
Publisher Wiley Subscription Services, Inc., A Wiley Company
Publisher_xml – name: Wiley Subscription Services, Inc., A Wiley Company
References 1969; 56
1976; 267
1963
1982; 15
1972
1981; PAMI‐3
1980
1976; 9
1979
1981; 2
1982; 3
Freeman H (e_1_2_1_8_2) 1963
Bryant J (e_1_2_1_4_2) 1980
Christensen IJ (e_1_2_1_5_2) 1980
e_1_2_1_6_2
e_1_2_1_7_2
Fukunaga K (e_1_2_1_10_2) 1972
Melamed MR (e_1_2_1_11_2) 1979
e_1_2_1_3_2
e_1_2_1_12_2
e_1_2_1_13_2
e_1_2_1_14_2
Baisch H (e_1_2_1_2_2) 1982; 15
e_1_2_1_9_2
References_xml – volume: 15
  start-page: 235
  year: 1982
  end-page: 249
  article-title: A comparison of mathematical methods for the analysis of DNA histograms by flow cytometry
  publication-title: Cell Tissue Kinet
– start-page: 147
  year: 1980
  end-page: 151
– year: 1963
– volume: 3
  start-page: 847
  year: 1982
  end-page: 850
  article-title: Changes in DNA content of rat tracheal epithelial cells during neoplastic progression in vitro
  publication-title: Carcinogenesis
– start-page: 138
  year: 1980
  end-page: 142
– year: 1972
– volume: 267
  start-page: 176
  year: 1976
  end-page: 191
  article-title: Laser flow microphotometry for rapid analysis and sorting of mammalian cells
  publication-title: Ann NY Acad Sci
– volume: 9
  start-page: 263
  year: 1976
  end-page: 276
  article-title: Method for the quantitative evaluation of data from flow microfluorometry
  publication-title: Comp Biomed Res
– year: 1979
– volume: PAMI‐3
  start-page: 163
  year: 1981
  end-page: 179
  article-title: An approximate solution to normal mixture identification with application to unsupervised pattern classification
  publication-title: IEEE Trans Pattern Anal Machine Intel
– volume: 56
  start-page: 463
  year: 1969
  end-page: 474
  article-title: Estimating the components of a mixture of normal distributions
  publication-title: Biometrika
– volume: 2
  start-page: 159
  year: 1981
  end-page: 164
  article-title: Mathematical evaluation of two‐parameter cytometric histograms
  publication-title: Cytometry
– volume: 3
  start-page: 84
  year: 1982
  end-page: 90
  article-title: Rapid, one step staining procedures for analysis of cellular DNA and protein by single and dual laser flow cytometry
  publication-title: Cytometry
– ident: e_1_2_1_14_2
  doi: 10.1002/cyto.990020305
– ident: e_1_2_1_3_2
  doi: 10.1093/carcin/3.8.847
– ident: e_1_2_1_7_2
  doi: 10.1093/biomet/56.3.463
– ident: e_1_2_1_6_2
  doi: 10.1002/cyto.990030204
– volume-title: Introduction to Statistical Pattern Recognition
  year: 1972
  ident: e_1_2_1_10_2
– start-page: 147
  volume-title: Flow Cytometry IV
  year: 1980
  ident: e_1_2_1_5_2
– volume-title: Introduction to Statistical Inference
  year: 1963
  ident: e_1_2_1_8_2
– volume-title: Flow Cytometry and Sorting
  year: 1979
  ident: e_1_2_1_11_2
– ident: e_1_2_1_13_2
  doi: 10.1109/TPAMI.1981.4767074
– ident: e_1_2_1_12_2
  doi: 10.1111/j.1749-6632.1976.tb41607.x
– volume: 15
  start-page: 235
  year: 1982
  ident: e_1_2_1_2_2
  article-title: A comparison of mathematical methods for the analysis of DNA histograms by flow cytometry
  publication-title: Cell Tissue Kinet
– ident: e_1_2_1_9_2
  doi: 10.1016/0010-4809(76)90006-9
– start-page: 138
  volume-title: Flow Cytometry IV
  year: 1980
  ident: e_1_2_1_4_2
SSID ssj0009643
Score 1.19807
Snippet Flow cytometric histograms frequently consist of several components that show various degrees of overlap. For many types of analysis it is of great importance...
SourceID unpaywall
proquest
pubmed
crossref
wiley
SourceType Open Access Repository
Aggregation Database
Index Database
Enrichment Source
Publisher
StartPage 75
SubjectTerms Animals
Cell Cycle
Cell Line
DNA - analysis
Flow Cytometry - methods
heterogeneous cell populations
Interphase
Mathematics
Maximum likelihood estimation
Mitosis
mixture identification
Neoplasms - pathology
Probability
Rats
Trachea
Title Parametric analysis of histograms measured in flow cytometry
URI https://onlinelibrary.wiley.com/doi/abs/10.1002%2Fcyto.990040111
https://www.ncbi.nlm.nih.gov/pubmed/6617397
https://www.proquest.com/docview/80661073
https://onlinelibrary.wiley.com/doi/pdfdirect/10.1002/cyto.990040111
UnpaywallVersion publishedVersion
Volume 4
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
journalDatabaseRights – providerCode: PRVBFR
  databaseName: Free Medical Journals
  customDbUrl:
  eissn: 1097-0320
  dateEnd: 20021231
  omitProxy: true
  ssIdentifier: ssj0009643
  issn: 1097-0320
  databaseCode: DIK
  dateStart: 19800101
  isFulltext: true
  titleUrlDefault: http://www.freemedicaljournals.com
  providerName: Flying Publisher
link http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV1LT9wwEB6hXaG2hwJtUZenD0j0km0SO3YicVnxELTicWAlOEWOHxJiSVawK7T99YzXSSRAFUgcE9lO7PGMv7FnPgPsWB1aq5gNrEVPhxlmAlwFo0DHSWzRUqZp5hKcT8_48ZD9uUquFuCgyYXx_BDthpvTjLm9dgo-1tbb-fp0P_6tZpOqj_YUZ2LkEny7PEFE3oHu8OxicO0zpXnABPdx9o54lMZhw934qoHna9MrwPkFPk3LsZw9ytHoOZadL0ZHS2CabvgYlNv-dFL01b8XDI8f7ecyfK3RKhn46bUCC6b8Bov-_srZd9i7kC62y5H8E1mzm5DKkjmJsQv7eiB3fg9Sk5uS2FH1SNxHXJXZDxgeHV7uHwf1dQyBcl5fQGUouOBSMcYE04pGKqYqFpLbpChCw4UUGS6JGiGi0bbIaGZ0RmlhuKQy5XQVOmVVmp9AoixVYRJGRnHN0OnMCi3DTGJVHhkRyR4EjSByVXOVuyszRrlnWY5z97N5OyI92G3Ljz1Lx39LbjdyzVGR3OmILE01fchTBF_oC9MerHpxty3he4GwrQe_WvG_-ZV4LtI3iuX715fn7dPa-9tfh884hNSHDW9AZ3I_NZsIjibFFroFJ3-3ag14AisQCZ8
linkProvider Unpaywall
linkToUnpaywall http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV1Li9swEB6WhNL2sH0um90-dCi0F6e2JUs27CVkG0Kh6R4SyJ6MrAeUZu3QJIT013cU2YbdUFLo0UaSLY0084008wngg9WhtYrZwFr0dJhhJkArGAU6TmKLmjJNM5fg_G3CxzP2dZ7MT-C6yYXx_BDthptbGXt97Rb4Uluv5-vT_fiz2q2rPupTnImRS_Dt8gQReQe6s8nN4NZnSvOACe7j7B3xKI3DhrvxoIH7tukAcD6Fx5tyKXdbuVjcx7J7YzR6Bqbpho9B-dnfrIu--v2A4fF_-_kcTmu0SgZ-er2AE1O-hEf-_srdK7i6kS62y5H8E1mzm5DKkj2JsQv7WpE7vwepyY-S2EW1Je4jrsruNcxGX6bDcVBfxxAo5_UFVIaCCy4VY0wwrWikYqpiIblNiiI0XEiRoUnUCBGNtkVGM6MzSgvDJZUpp2fQKavSnAOJslSFSRgZxTVDpzMrtAwziVV5ZEQkexA0gshVzVXursxY5J5lOc7dz-btiPTgY1t-6Vk6_lryfSPXHBeSOx2Rpak2qzxF8IW-MO3BmRd32xK-FwjbevCpFf_Rr8R7kR4plg9vp9_bp4t_b_8SnuAQUh82_AY6618b8xbB0bp4V8_9P_cMCKY
openUrl ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Parametric+analysis+of+histograms+measured+in+flow+cytometry&rft.jtitle=Cytometry+%28New+York%2C+N.Y.%29&rft.au=Mann%2C+R+C&rft.au=Hand%2C+R+E&rft.au=Braslawsky%2C+G+R&rft.date=1983-07-01&rft.issn=0196-4763&rft.volume=4&rft.issue=1&rft.spage=75&rft_id=info:doi/10.1002%2Fcyto.990040111&rft.externalDBID=NO_FULL_TEXT
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0196-4763&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0196-4763&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0196-4763&client=summon