Process Noise: An Explanation for the Fluctuations in the Immune Response during Acute Viral Infection
The parameters of the immune response dynamics are usually estimated by the use of deterministic ordinary differential equations that relate data trends to parameter values. Since the physical basis of the response is stochastic, we are investigating the intensity of the data fluctuations resulting...
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Veröffentlicht in: | Biophysical journal 2007-05, Vol.92 (10), p.3358-3367 |
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description | The parameters of the immune response dynamics are usually estimated by the use of deterministic ordinary differential equations that relate data trends to parameter values. Since the physical basis of the response is stochastic, we are investigating the intensity of the data fluctuations resulting from the intrinsic response stochasticity, the so-called process noise. Dealing with the CD8
+ T-cell responses of virus-infected mice, we find that the process noise influence cannot be neglected and we propose a parameter estimation approach that includes the process noise stochastic fluctuations. We show that the variations in data can be explained completely by the process noise. This explanation is an alternative to the one resulting from standard modeling approaches which say that the difference among individual immune responses is the consequence of the difference in parameter values. |
doi_str_mv | 10.1529/biophysj.106.094508 |
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+ T-cell responses of virus-infected mice, we find that the process noise influence cannot be neglected and we propose a parameter estimation approach that includes the process noise stochastic fluctuations. We show that the variations in data can be explained completely by the process noise. This explanation is an alternative to the one resulting from standard modeling approaches which say that the difference among individual immune responses is the consequence of the difference in parameter values.</description><identifier>ISSN: 0006-3495</identifier><identifier>EISSN: 1542-0086</identifier><identifier>DOI: 10.1529/biophysj.106.094508</identifier><identifier>PMID: 17325020</identifier><language>eng</language><publisher>United States: Elsevier Inc</publisher><subject>Acute Disease ; Animals ; Biophysical Theory and Modeling ; CD8-Positive T-Lymphocytes - immunology ; Computer Simulation ; Differential equations ; Immunity, Innate - immunology ; Immunology ; Infections ; Lymphocytic Choriomeningitis - immunology ; Lymphocytic Choriomeningitis - virology ; Lymphocytic choriomeningitis virus - immunology ; Mice ; Models, Immunological ; Stochastic models ; Stochastic Processes</subject><ispartof>Biophysical journal, 2007-05, Vol.92 (10), p.3358-3367</ispartof><rights>2007 The Biophysical Society</rights><rights>Copyright Biophysical Society May 15, 2007</rights><rights>Copyright © 2007, Biophysical Society 2007</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c515t-96736cbca8c88b56da205ed5a4594eec05ca7e235de71421dedd11d0471fe8073</citedby><cites>FETCH-LOGICAL-c515t-96736cbca8c88b56da205ed5a4594eec05ca7e235de71421dedd11d0471fe8073</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://www.ncbi.nlm.nih.gov/pmc/articles/PMC1853137/pdf/$$EPDF$$P50$$Gpubmedcentral$$H</linktopdf><linktohtml>$$Uhttps://dx.doi.org/10.1529/biophysj.106.094508$$EHTML$$P50$$Gelsevier$$Hfree_for_read</linktohtml><link.rule.ids>230,314,727,780,784,885,3550,27924,27925,45995,53791,53793</link.rule.ids><backlink>$$Uhttps://www.ncbi.nlm.nih.gov/pubmed/17325020$$D View this record in MEDLINE/PubMed$$Hfree_for_read</backlink></links><search><creatorcontrib>Milutinović, D.</creatorcontrib><creatorcontrib>De Boer, R.J.</creatorcontrib><title>Process Noise: An Explanation for the Fluctuations in the Immune Response during Acute Viral Infection</title><title>Biophysical journal</title><addtitle>Biophys J</addtitle><description>The parameters of the immune response dynamics are usually estimated by the use of deterministic ordinary differential equations that relate data trends to parameter values. Since the physical basis of the response is stochastic, we are investigating the intensity of the data fluctuations resulting from the intrinsic response stochasticity, the so-called process noise. Dealing with the CD8
+ T-cell responses of virus-infected mice, we find that the process noise influence cannot be neglected and we propose a parameter estimation approach that includes the process noise stochastic fluctuations. We show that the variations in data can be explained completely by the process noise. This explanation is an alternative to the one resulting from standard modeling approaches which say that the difference among individual immune responses is the consequence of the difference in parameter values.</description><subject>Acute Disease</subject><subject>Animals</subject><subject>Biophysical Theory and Modeling</subject><subject>CD8-Positive T-Lymphocytes - immunology</subject><subject>Computer Simulation</subject><subject>Differential equations</subject><subject>Immunity, Innate - immunology</subject><subject>Immunology</subject><subject>Infections</subject><subject>Lymphocytic Choriomeningitis - immunology</subject><subject>Lymphocytic Choriomeningitis - virology</subject><subject>Lymphocytic choriomeningitis virus - immunology</subject><subject>Mice</subject><subject>Models, Immunological</subject><subject>Stochastic models</subject><subject>Stochastic Processes</subject><issn>0006-3495</issn><issn>1542-0086</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2007</creationdate><recordtype>article</recordtype><sourceid>EIF</sourceid><sourceid>8G5</sourceid><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GNUQQ</sourceid><sourceid>GUQSH</sourceid><sourceid>M2O</sourceid><recordid>eNqFkUtv1DAUhSMEokPhFyAhiwW7DPc6cR5III2qFkaqACFga3nsm45HiZ3aSUX_PZ7O8FzAytbxdx8-J8ueIixR8Pblxvpxext3S4RqCW0poLmXLVCUPAdoqvvZAgCqvChbcZI9inEHgFwAPsxOsC7SjcMi6z4GrylG9t7bSK_YyrHzb2OvnJqsd6zzgU1bYhf9rKf5TovMujttPQyzI_aJ4phUYmYO1l2xlZ4nYl9tUD1bu470vuhx9qBTfaQnx_M0-3Jx_vnsXX754e36bHWZa4FiytuqLiq90arRTbMRlVEcBBmhStGWRBqEVjXxQhiqseRoyBhEA2WNHTVQF6fZm0Pfcd4MZDS5Ke0hx2AHFW6lV1b--eLsVl75G4mNKLDYN3hxbBD89UxxkoONmvrkCPk5yhqKti3r5r8gB95wxDaBz_8Cd34OLrkgOYoakSMkqDhAOvgYA3U_V0aQ-7Tlj7STUMlD2qnq2e-__VVzjDcBrw8AJc9vLAUZtSWnydiQgpHG238O-A42X75_</recordid><startdate>20070515</startdate><enddate>20070515</enddate><creator>Milutinović, D.</creator><creator>De Boer, R.J.</creator><general>Elsevier Inc</general><general>Biophysical Society</general><scope>6I.</scope><scope>AAFTH</scope><scope>CGR</scope><scope>CUY</scope><scope>CVF</scope><scope>ECM</scope><scope>EIF</scope><scope>NPM</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>3V.</scope><scope>7QO</scope><scope>7QP</scope><scope>7TK</scope><scope>7TM</scope><scope>7U9</scope><scope>7X2</scope><scope>7X7</scope><scope>7XB</scope><scope>88A</scope><scope>88E</scope><scope>88I</scope><scope>8AF</scope><scope>8AO</scope><scope>8FD</scope><scope>8FE</scope><scope>8FG</scope><scope>8FH</scope><scope>8FI</scope><scope>8FJ</scope><scope>8FK</scope><scope>8G5</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>ATCPS</scope><scope>AZQEC</scope><scope>BBNVY</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>BHPHI</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>FR3</scope><scope>FYUFA</scope><scope>GHDGH</scope><scope>GNUQQ</scope><scope>GUQSH</scope><scope>H94</scope><scope>HCIFZ</scope><scope>K9.</scope><scope>LK8</scope><scope>M0K</scope><scope>M0S</scope><scope>M1P</scope><scope>M2O</scope><scope>M2P</scope><scope>M7P</scope><scope>MBDVC</scope><scope>P5Z</scope><scope>P62</scope><scope>P64</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>Q9U</scope><scope>S0X</scope><scope>7T5</scope><scope>7X8</scope><scope>5PM</scope></search><sort><creationdate>20070515</creationdate><title>Process Noise: An Explanation for the Fluctuations in the Immune Response during Acute Viral Infection</title><author>Milutinović, D. ; De Boer, R.J.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c515t-96736cbca8c88b56da205ed5a4594eec05ca7e235de71421dedd11d0471fe8073</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2007</creationdate><topic>Acute Disease</topic><topic>Animals</topic><topic>Biophysical Theory and Modeling</topic><topic>CD8-Positive T-Lymphocytes - immunology</topic><topic>Computer Simulation</topic><topic>Differential equations</topic><topic>Immunity, Innate - immunology</topic><topic>Immunology</topic><topic>Infections</topic><topic>Lymphocytic Choriomeningitis - immunology</topic><topic>Lymphocytic Choriomeningitis - virology</topic><topic>Lymphocytic choriomeningitis virus - immunology</topic><topic>Mice</topic><topic>Models, Immunological</topic><topic>Stochastic models</topic><topic>Stochastic Processes</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Milutinović, D.</creatorcontrib><creatorcontrib>De Boer, R.J.</creatorcontrib><collection>ScienceDirect Open Access Titles</collection><collection>Elsevier:ScienceDirect:Open Access</collection><collection>Medline</collection><collection>MEDLINE</collection><collection>MEDLINE (Ovid)</collection><collection>MEDLINE</collection><collection>MEDLINE</collection><collection>PubMed</collection><collection>CrossRef</collection><collection>ProQuest Central (Corporate)</collection><collection>Biotechnology Research Abstracts</collection><collection>Calcium & Calcified Tissue Abstracts</collection><collection>Neurosciences Abstracts</collection><collection>Nucleic Acids Abstracts</collection><collection>Virology and AIDS Abstracts</collection><collection>Agricultural Science Collection</collection><collection>Health & Medical Collection</collection><collection>ProQuest Central (purchase pre-March 2016)</collection><collection>Biology Database (Alumni Edition)</collection><collection>Medical Database (Alumni Edition)</collection><collection>Science Database (Alumni Edition)</collection><collection>STEM Database</collection><collection>ProQuest Pharma Collection</collection><collection>Technology Research Database</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>ProQuest Natural Science Collection</collection><collection>Hospital Premium Collection</collection><collection>Hospital Premium Collection (Alumni Edition)</collection><collection>ProQuest Central (Alumni) (purchase pre-March 2016)</collection><collection>Research Library (Alumni Edition)</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>Advanced Technologies & Aerospace Collection</collection><collection>Agricultural & Environmental Science Collection</collection><collection>ProQuest Central Essentials</collection><collection>Biological Science Collection</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>Natural Science Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>Engineering Research Database</collection><collection>Health Research Premium Collection</collection><collection>Health Research Premium Collection (Alumni)</collection><collection>ProQuest Central Student</collection><collection>Research Library Prep</collection><collection>AIDS and Cancer Research Abstracts</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Health & Medical Complete (Alumni)</collection><collection>ProQuest Biological Science Collection</collection><collection>Agricultural Science Database</collection><collection>Health & Medical Collection (Alumni Edition)</collection><collection>Medical Database</collection><collection>Research Library</collection><collection>Science Database</collection><collection>Biological Science Database</collection><collection>Research Library (Corporate)</collection><collection>Advanced Technologies & Aerospace Database</collection><collection>ProQuest Advanced Technologies & Aerospace Collection</collection><collection>Biotechnology and BioEngineering Abstracts</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>ProQuest Central Basic</collection><collection>SIRS Editorial</collection><collection>Immunology Abstracts</collection><collection>MEDLINE - Academic</collection><collection>PubMed Central (Full Participant titles)</collection><jtitle>Biophysical journal</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Milutinović, D.</au><au>De Boer, R.J.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Process Noise: An Explanation for the Fluctuations in the Immune Response during Acute Viral Infection</atitle><jtitle>Biophysical journal</jtitle><addtitle>Biophys J</addtitle><date>2007-05-15</date><risdate>2007</risdate><volume>92</volume><issue>10</issue><spage>3358</spage><epage>3367</epage><pages>3358-3367</pages><issn>0006-3495</issn><eissn>1542-0086</eissn><abstract>The parameters of the immune response dynamics are usually estimated by the use of deterministic ordinary differential equations that relate data trends to parameter values. 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+ T-cell responses of virus-infected mice, we find that the process noise influence cannot be neglected and we propose a parameter estimation approach that includes the process noise stochastic fluctuations. We show that the variations in data can be explained completely by the process noise. This explanation is an alternative to the one resulting from standard modeling approaches which say that the difference among individual immune responses is the consequence of the difference in parameter values.</abstract><cop>United States</cop><pub>Elsevier Inc</pub><pmid>17325020</pmid><doi>10.1529/biophysj.106.094508</doi><tpages>10</tpages><oa>free_for_read</oa></addata></record> |
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subjects | Acute Disease Animals Biophysical Theory and Modeling CD8-Positive T-Lymphocytes - immunology Computer Simulation Differential equations Immunity, Innate - immunology Immunology Infections Lymphocytic Choriomeningitis - immunology Lymphocytic Choriomeningitis - virology Lymphocytic choriomeningitis virus - immunology Mice Models, Immunological Stochastic models Stochastic Processes |
title | Process Noise: An Explanation for the Fluctuations in the Immune Response during Acute Viral Infection |
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