Mathematical analysis and numerical simulations for the HSP70 synthesis model
The heat shock proteins (HSPs) protect the other proteins in the process of folding under stressful conditions such as oxygen deprivation, hypothermy or presence of alcohol. They have also an important role in tumour invasion. In this paper, the existence, uniqueness and permanence properties for th...
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| Veröffentlicht in: | Journal of mathematical chemistry 2018-11, Vol.56 (10), p.3089-3114 |
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| container_title | Journal of mathematical chemistry |
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| creator | Meral, Gülnihal Pelen, Neslihan Nesliye |
| description | The heat shock proteins (HSPs) protect the other proteins in the process of folding under stressful conditions such as oxygen deprivation, hypothermy or presence of alcohol. They have also an important role in tumour invasion. In this paper, the existence, uniqueness and permanence properties for the solution of the mathematical model which focuses on the synthesis of HSP70 is proved. Moreover the numerical simulations are performed by using FDM, namely a combination of backward and forward Euler methods, and the results confirm the expected behaviour of the solution. |
| doi_str_mv | 10.1007/s10910-018-0934-1 |
| format | Article |
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They have also an important role in tumour invasion. In this paper, the existence, uniqueness and permanence properties for the solution of the mathematical model which focuses on the synthesis of HSP70 is proved. Moreover the numerical simulations are performed by using FDM, namely a combination of backward and forward Euler methods, and the results confirm the expected behaviour of the solution.</description><identifier>ISSN: 0259-9791</identifier><identifier>EISSN: 1572-8897</identifier><identifier>DOI: 10.1007/s10910-018-0934-1</identifier><language>eng</language><publisher>Cham: Springer International Publishing</publisher><subject>Chemistry ; Chemistry and Materials Science ; Computer simulation ; Deprivation ; Heat shock proteins ; Math. Applications in Chemistry ; Mathematical analysis ; Mathematical models ; Original Paper ; Physical Chemistry ; Synthesis ; Theoretical and Computational Chemistry</subject><ispartof>Journal of mathematical chemistry, 2018-11, Vol.56 (10), p.3089-3114</ispartof><rights>Springer Nature Switzerland AG 2018</rights><rights>Copyright Springer Science & Business Media 2018</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c316t-a2ff70694b50bab6c4fdfeaa7237b31d2d845d6744e4a82f636c00d945491f6c3</citedby><cites>FETCH-LOGICAL-c316t-a2ff70694b50bab6c4fdfeaa7237b31d2d845d6744e4a82f636c00d945491f6c3</cites><orcidid>0000-0003-0072-0609</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s10910-018-0934-1$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s10910-018-0934-1$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,776,780,27901,27902,41464,42533,51294</link.rule.ids></links><search><creatorcontrib>Meral, Gülnihal</creatorcontrib><creatorcontrib>Pelen, Neslihan Nesliye</creatorcontrib><title>Mathematical analysis and numerical simulations for the HSP70 synthesis model</title><title>Journal of mathematical chemistry</title><addtitle>J Math Chem</addtitle><description>The heat shock proteins (HSPs) protect the other proteins in the process of folding under stressful conditions such as oxygen deprivation, hypothermy or presence of alcohol. They have also an important role in tumour invasion. In this paper, the existence, uniqueness and permanence properties for the solution of the mathematical model which focuses on the synthesis of HSP70 is proved. Moreover the numerical simulations are performed by using FDM, namely a combination of backward and forward Euler methods, and the results confirm the expected behaviour of the solution.</description><subject>Chemistry</subject><subject>Chemistry and Materials Science</subject><subject>Computer simulation</subject><subject>Deprivation</subject><subject>Heat shock proteins</subject><subject>Math. Applications in Chemistry</subject><subject>Mathematical analysis</subject><subject>Mathematical models</subject><subject>Original Paper</subject><subject>Physical Chemistry</subject><subject>Synthesis</subject><subject>Theoretical and Computational Chemistry</subject><issn>0259-9791</issn><issn>1572-8897</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2018</creationdate><recordtype>article</recordtype><recordid>eNp1kMtKxDAUhoMoOI4-gLuC6-o5SZrLUgZ1BAcFdR3SNtEOvYxJu5i3N2MFV67Ohe87HH5CLhGuEUDeRASNkAOqHDTjOR6RBRaS5kppeUwWQAuda6nxlJzFuAUArYRakM3Gjp-us2NT2TazvW33sYmpqbN-6lz4Wcemm9qEDH3M_BCyZGTr1xcJWdz3aTgY3VC79pyceNtGd_Fbl-T9_u5ttc6fnh8eV7dPecVQjLml3ksQmpcFlLYUFfe1d9ZKymTJsKa14kUtJOeOW0W9YKICqDUvuEYvKrYkV_PdXRi-JhdHsx2mkJ6PhiIKUIxpkSicqSoMMQbnzS40nQ17g2AOqZk5NZNSM4fUDCaHzk5MbP_hwt_l_6VvpgxvXw</recordid><startdate>20181101</startdate><enddate>20181101</enddate><creator>Meral, Gülnihal</creator><creator>Pelen, Neslihan Nesliye</creator><general>Springer International Publishing</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><orcidid>https://orcid.org/0000-0003-0072-0609</orcidid></search><sort><creationdate>20181101</creationdate><title>Mathematical analysis and numerical simulations for the HSP70 synthesis model</title><author>Meral, Gülnihal ; Pelen, Neslihan Nesliye</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c316t-a2ff70694b50bab6c4fdfeaa7237b31d2d845d6744e4a82f636c00d945491f6c3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2018</creationdate><topic>Chemistry</topic><topic>Chemistry and Materials Science</topic><topic>Computer simulation</topic><topic>Deprivation</topic><topic>Heat shock proteins</topic><topic>Math. Applications in Chemistry</topic><topic>Mathematical analysis</topic><topic>Mathematical models</topic><topic>Original Paper</topic><topic>Physical Chemistry</topic><topic>Synthesis</topic><topic>Theoretical and Computational Chemistry</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Meral, Gülnihal</creatorcontrib><creatorcontrib>Pelen, Neslihan Nesliye</creatorcontrib><collection>CrossRef</collection><jtitle>Journal of mathematical chemistry</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Meral, Gülnihal</au><au>Pelen, Neslihan Nesliye</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Mathematical analysis and numerical simulations for the HSP70 synthesis model</atitle><jtitle>Journal of mathematical chemistry</jtitle><stitle>J Math Chem</stitle><date>2018-11-01</date><risdate>2018</risdate><volume>56</volume><issue>10</issue><spage>3089</spage><epage>3114</epage><pages>3089-3114</pages><issn>0259-9791</issn><eissn>1572-8897</eissn><abstract>The heat shock proteins (HSPs) protect the other proteins in the process of folding under stressful conditions such as oxygen deprivation, hypothermy or presence of alcohol. 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| subjects | Chemistry Chemistry and Materials Science Computer simulation Deprivation Heat shock proteins Math. Applications in Chemistry Mathematical analysis Mathematical models Original Paper Physical Chemistry Synthesis Theoretical and Computational Chemistry |
| title | Mathematical analysis and numerical simulations for the HSP70 synthesis model |
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