Mathematical Based Calculation of Drug Penetration Depth in Solid Tumors
Cancer is a class of diseases characterized by out-of-control cells’ growth which affect cells and make them damaged. Many treatment options for cancer exist. Chemotherapy as an important treatment option is the use of drugs to treat cancer. The anticancer drug travels to the tumor and then diffuses...
Gespeichert in:
| Veröffentlicht in: | BioMed research international 2016-01, Vol.2016 (2016), p.1-8 |
|---|---|
| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 8 |
|---|---|
| container_issue | 2016 |
| container_start_page | 1 |
| container_title | BioMed research international |
| container_volume | 2016 |
| creator | Nazeri, Sina Wong, Albert Kulish, Vladimir V. Namazi, Hamidreza |
| description | Cancer is a class of diseases characterized by out-of-control cells’ growth which affect cells and make them damaged. Many treatment options for cancer exist. Chemotherapy as an important treatment option is the use of drugs to treat cancer. The anticancer drug travels to the tumor and then diffuses in it through capillaries. The diffusion of drugs in the solid tumor is limited by penetration depth which is different in case of different drugs and cancers. The computation of this depth is important as it helps physicians to investigate about treatment of infected tissue. Although many efforts have been made on studying and measuring drug penetration depth, less works have been done on computing this length from a mathematical point of view. In this paper, first we propose phase lagging model for diffusion of drug in the tumor. Then, using this model on one side and considering the classic diffusion on the other side, we compute the drug penetration depth in the solid tumor. This computed value of drug penetration depth is corroborated by comparison with the values measured by experiments. |
| doi_str_mv | 10.1155/2016/8437247 |
| format | Article |
| fullrecord | <record><control><sourceid>gale_pubme</sourceid><recordid>TN_cdi_pubmedcentral_primary_oai_pubmedcentral_nih_gov_4916326</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><galeid>A520715831</galeid><sourcerecordid>A520715831</sourcerecordid><originalsourceid>FETCH-LOGICAL-c532t-87e2fb2509374414d6a000d6f831bd8f3e277b265dd146250bcbf5f2e18af0433</originalsourceid><addsrcrecordid>eNqNks9rFDEUx4MottTePMuAF8GuzcvvuQh1q1aoKFjPITNJdlMyyXYyo_S_N8uuS_XUXBJePnzfy_cbhF4CfgfA-TnBIM4Vo5Iw-QQdEwpsIYDB08OZ0iN0WsotrkuBwK14jo6IpFJgJY_R1Vczrd1gptCb2HwwxdlmaWI_x1rKqcm-uRznVfPdJTeNu9ql20zrJqTmR47BNjfzkMfyAj3zJhZ3ut9P0M9PH2-WV4vrb5-_LC-uFz2nZFoo6YjvCMctlYwBs8LUwazwikJnlaeOSNkRwa0FJirX9Z3nnjhQxmNG6Ql6v9PdzN3gbO9SHSvqzRgGM97rbIL-9yaFtV7lX5q1ICgRVeDNXmDMd7Mrkx5C6V2MJrk8Fw0KK0FBPg6tTjKltujr_9DbPI-pOqFBtlIxLip6oFYmOh2Sz3XEfiuqLzjBEni1oVJnO6ofcymj84fXAdbb2PU2dr2PveKvHjpygP-GXIG3O2AdkjW_wyPl6q-ovc0Dum0xb-kfXFC7aA</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>1797845627</pqid></control><display><type>article</type><title>Mathematical Based Calculation of Drug Penetration Depth in Solid Tumors</title><source>MEDLINE</source><source>Wiley-Blackwell Open Access Titles</source><source>PubMed Central</source><source>Alma/SFX Local Collection</source><source>PubMed Central Open Access</source><creator>Nazeri, Sina ; Wong, Albert ; Kulish, Vladimir V. ; Namazi, Hamidreza</creator><contributor>Silva, Osmar Nascimento</contributor><creatorcontrib>Nazeri, Sina ; Wong, Albert ; Kulish, Vladimir V. ; Namazi, Hamidreza ; Silva, Osmar Nascimento</creatorcontrib><description>Cancer is a class of diseases characterized by out-of-control cells’ growth which affect cells and make them damaged. Many treatment options for cancer exist. Chemotherapy as an important treatment option is the use of drugs to treat cancer. The anticancer drug travels to the tumor and then diffuses in it through capillaries. The diffusion of drugs in the solid tumor is limited by penetration depth which is different in case of different drugs and cancers. The computation of this depth is important as it helps physicians to investigate about treatment of infected tissue. Although many efforts have been made on studying and measuring drug penetration depth, less works have been done on computing this length from a mathematical point of view. In this paper, first we propose phase lagging model for diffusion of drug in the tumor. Then, using this model on one side and considering the classic diffusion on the other side, we compute the drug penetration depth in the solid tumor. This computed value of drug penetration depth is corroborated by comparison with the values measured by experiments.</description><identifier>ISSN: 2314-6133</identifier><identifier>EISSN: 2314-6141</identifier><identifier>DOI: 10.1155/2016/8437247</identifier><identifier>PMID: 27376087</identifier><language>eng</language><publisher>Cairo, Egypt: Hindawi Publishing Corporation</publisher><subject>Analysis ; Antineoplastic Agents - pharmacokinetics ; Antineoplastic Agents - therapeutic use ; Biological Transport, Active ; Biomedical research ; Cancer ; Cancer therapies ; Chemotherapy ; Drug therapy ; Drugs ; Humans ; Mathematical Concepts ; Models, Biological ; Neoplasms - drug therapy ; Neoplasms - metabolism ; Rodents ; Studies</subject><ispartof>BioMed research international, 2016-01, Vol.2016 (2016), p.1-8</ispartof><rights>Copyright © 2016 Hamidreza Namazi et al.</rights><rights>COPYRIGHT 2016 John Wiley & Sons, Inc.</rights><rights>Copyright © 2016 Hamidreza Namazi et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.</rights><rights>Copyright © 2016 Hamidreza Namazi et al. 2016</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c532t-87e2fb2509374414d6a000d6f831bd8f3e277b265dd146250bcbf5f2e18af0433</citedby><cites>FETCH-LOGICAL-c532t-87e2fb2509374414d6a000d6f831bd8f3e277b265dd146250bcbf5f2e18af0433</cites><orcidid>0000-0003-2711-2080</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://www.ncbi.nlm.nih.gov/pmc/articles/PMC4916326/pdf/$$EPDF$$P50$$Gpubmedcentral$$Hfree_for_read</linktopdf><linktohtml>$$Uhttps://www.ncbi.nlm.nih.gov/pmc/articles/PMC4916326/$$EHTML$$P50$$Gpubmedcentral$$Hfree_for_read</linktohtml><link.rule.ids>230,314,723,776,780,881,27901,27902,53766,53768</link.rule.ids><backlink>$$Uhttps://www.ncbi.nlm.nih.gov/pubmed/27376087$$D View this record in MEDLINE/PubMed$$Hfree_for_read</backlink></links><search><contributor>Silva, Osmar Nascimento</contributor><creatorcontrib>Nazeri, Sina</creatorcontrib><creatorcontrib>Wong, Albert</creatorcontrib><creatorcontrib>Kulish, Vladimir V.</creatorcontrib><creatorcontrib>Namazi, Hamidreza</creatorcontrib><title>Mathematical Based Calculation of Drug Penetration Depth in Solid Tumors</title><title>BioMed research international</title><addtitle>Biomed Res Int</addtitle><description>Cancer is a class of diseases characterized by out-of-control cells’ growth which affect cells and make them damaged. Many treatment options for cancer exist. Chemotherapy as an important treatment option is the use of drugs to treat cancer. The anticancer drug travels to the tumor and then diffuses in it through capillaries. The diffusion of drugs in the solid tumor is limited by penetration depth which is different in case of different drugs and cancers. The computation of this depth is important as it helps physicians to investigate about treatment of infected tissue. Although many efforts have been made on studying and measuring drug penetration depth, less works have been done on computing this length from a mathematical point of view. In this paper, first we propose phase lagging model for diffusion of drug in the tumor. Then, using this model on one side and considering the classic diffusion on the other side, we compute the drug penetration depth in the solid tumor. This computed value of drug penetration depth is corroborated by comparison with the values measured by experiments.</description><subject>Analysis</subject><subject>Antineoplastic Agents - pharmacokinetics</subject><subject>Antineoplastic Agents - therapeutic use</subject><subject>Biological Transport, Active</subject><subject>Biomedical research</subject><subject>Cancer</subject><subject>Cancer therapies</subject><subject>Chemotherapy</subject><subject>Drug therapy</subject><subject>Drugs</subject><subject>Humans</subject><subject>Mathematical Concepts</subject><subject>Models, Biological</subject><subject>Neoplasms - drug therapy</subject><subject>Neoplasms - metabolism</subject><subject>Rodents</subject><subject>Studies</subject><issn>2314-6133</issn><issn>2314-6141</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2016</creationdate><recordtype>article</recordtype><sourceid>RHX</sourceid><sourceid>EIF</sourceid><sourceid>BENPR</sourceid><recordid>eNqNks9rFDEUx4MottTePMuAF8GuzcvvuQh1q1aoKFjPITNJdlMyyXYyo_S_N8uuS_XUXBJePnzfy_cbhF4CfgfA-TnBIM4Vo5Iw-QQdEwpsIYDB08OZ0iN0WsotrkuBwK14jo6IpFJgJY_R1Vczrd1gptCb2HwwxdlmaWI_x1rKqcm-uRznVfPdJTeNu9ql20zrJqTmR47BNjfzkMfyAj3zJhZ3ut9P0M9PH2-WV4vrb5-_LC-uFz2nZFoo6YjvCMctlYwBs8LUwazwikJnlaeOSNkRwa0FJirX9Z3nnjhQxmNG6Ql6v9PdzN3gbO9SHSvqzRgGM97rbIL-9yaFtV7lX5q1ICgRVeDNXmDMd7Mrkx5C6V2MJrk8Fw0KK0FBPg6tTjKltujr_9DbPI-pOqFBtlIxLip6oFYmOh2Sz3XEfiuqLzjBEni1oVJnO6ofcymj84fXAdbb2PU2dr2PveKvHjpygP-GXIG3O2AdkjW_wyPl6q-ovc0Dum0xb-kfXFC7aA</recordid><startdate>20160101</startdate><enddate>20160101</enddate><creator>Nazeri, Sina</creator><creator>Wong, Albert</creator><creator>Kulish, Vladimir V.</creator><creator>Namazi, Hamidreza</creator><general>Hindawi Publishing Corporation</general><general>John Wiley & Sons, Inc</general><general>Hindawi Limited</general><scope>ADJCN</scope><scope>AHFXO</scope><scope>RHU</scope><scope>RHW</scope><scope>RHX</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>7QL</scope><scope>7QO</scope><scope>7T7</scope><scope>7TK</scope><scope>7U7</scope><scope>7U9</scope><scope>7X7</scope><scope>7XB</scope><scope>88E</scope><scope>8FD</scope><scope>8FE</scope><scope>8FG</scope><scope>8FH</scope><scope>8FI</scope><scope>8FJ</scope><scope>8FK</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>AZQEC</scope><scope>BBNVY</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>BHPHI</scope><scope>C1K</scope><scope>CCPQU</scope><scope>CWDGH</scope><scope>DWQXO</scope><scope>FR3</scope><scope>FYUFA</scope><scope>GHDGH</scope><scope>GNUQQ</scope><scope>H94</scope><scope>HCIFZ</scope><scope>K9.</scope><scope>LK8</scope><scope>M0S</scope><scope>M1P</scope><scope>M7N</scope><scope>M7P</scope><scope>P5Z</scope><scope>P62</scope><scope>P64</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>7X8</scope><scope>5PM</scope><orcidid>https://orcid.org/0000-0003-2711-2080</orcidid></search><sort><creationdate>20160101</creationdate><title>Mathematical Based Calculation of Drug Penetration Depth in Solid Tumors</title><author>Nazeri, Sina ; Wong, Albert ; Kulish, Vladimir V. ; Namazi, Hamidreza</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c532t-87e2fb2509374414d6a000d6f831bd8f3e277b265dd146250bcbf5f2e18af0433</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2016</creationdate><topic>Analysis</topic><topic>Antineoplastic Agents - pharmacokinetics</topic><topic>Antineoplastic Agents - therapeutic use</topic><topic>Biological Transport, Active</topic><topic>Biomedical research</topic><topic>Cancer</topic><topic>Cancer therapies</topic><topic>Chemotherapy</topic><topic>Drug therapy</topic><topic>Drugs</topic><topic>Humans</topic><topic>Mathematical Concepts</topic><topic>Models, Biological</topic><topic>Neoplasms - drug therapy</topic><topic>Neoplasms - metabolism</topic><topic>Rodents</topic><topic>Studies</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Nazeri, Sina</creatorcontrib><creatorcontrib>Wong, Albert</creatorcontrib><creatorcontrib>Kulish, Vladimir V.</creatorcontrib><creatorcontrib>Namazi, Hamidreza</creatorcontrib><collection>الدوريات العلمية والإحصائية - e-Marefa Academic and Statistical Periodicals</collection><collection>معرفة - المحتوى العربي الأكاديمي المتكامل - e-Marefa Academic Complete</collection><collection>Hindawi Publishing Complete</collection><collection>Hindawi Publishing Subscription Journals</collection><collection>Hindawi Publishing 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>Bacteriology Abstracts (Microbiology B)</collection><collection>Biotechnology Research Abstracts</collection><collection>Industrial and Applied Microbiology Abstracts (Microbiology A)</collection><collection>Neurosciences Abstracts</collection><collection>Toxicology Abstracts</collection><collection>Virology and AIDS Abstracts</collection><collection>Health & Medical Collection</collection><collection>ProQuest Central (purchase pre-March 2016)</collection><collection>Medical Database (Alumni Edition)</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>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>Advanced Technologies & Aerospace 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>Environmental Sciences and Pollution Management</collection><collection>ProQuest One Community College</collection><collection>Middle East & Africa Database</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>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>Health & Medical Collection (Alumni Edition)</collection><collection>Medical Database</collection><collection>Algology Mycology and Protozoology Abstracts (Microbiology C)</collection><collection>Biological Science Database</collection><collection>Advanced Technologies & Aerospace Database</collection><collection>ProQuest Advanced Technologies & Aerospace Collection</collection><collection>Biotechnology and BioEngineering Abstracts</collection><collection>Publicly Available Content Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>MEDLINE - Academic</collection><collection>PubMed Central (Full Participant titles)</collection><jtitle>BioMed research international</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Nazeri, Sina</au><au>Wong, Albert</au><au>Kulish, Vladimir V.</au><au>Namazi, Hamidreza</au><au>Silva, Osmar Nascimento</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Mathematical Based Calculation of Drug Penetration Depth in Solid Tumors</atitle><jtitle>BioMed research international</jtitle><addtitle>Biomed Res Int</addtitle><date>2016-01-01</date><risdate>2016</risdate><volume>2016</volume><issue>2016</issue><spage>1</spage><epage>8</epage><pages>1-8</pages><issn>2314-6133</issn><eissn>2314-6141</eissn><abstract>Cancer is a class of diseases characterized by out-of-control cells’ growth which affect cells and make them damaged. Many treatment options for cancer exist. Chemotherapy as an important treatment option is the use of drugs to treat cancer. The anticancer drug travels to the tumor and then diffuses in it through capillaries. The diffusion of drugs in the solid tumor is limited by penetration depth which is different in case of different drugs and cancers. The computation of this depth is important as it helps physicians to investigate about treatment of infected tissue. Although many efforts have been made on studying and measuring drug penetration depth, less works have been done on computing this length from a mathematical point of view. In this paper, first we propose phase lagging model for diffusion of drug in the tumor. Then, using this model on one side and considering the classic diffusion on the other side, we compute the drug penetration depth in the solid tumor. This computed value of drug penetration depth is corroborated by comparison with the values measured by experiments.</abstract><cop>Cairo, Egypt</cop><pub>Hindawi Publishing Corporation</pub><pmid>27376087</pmid><doi>10.1155/2016/8437247</doi><tpages>8</tpages><orcidid>https://orcid.org/0000-0003-2711-2080</orcidid><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 2314-6133 |
| ispartof | BioMed research international, 2016-01, Vol.2016 (2016), p.1-8 |
| issn | 2314-6133 2314-6141 |
| language | eng |
| recordid | cdi_pubmedcentral_primary_oai_pubmedcentral_nih_gov_4916326 |
| source | MEDLINE; Wiley-Blackwell Open Access Titles; PubMed Central; Alma/SFX Local Collection; PubMed Central Open Access |
| subjects | Analysis Antineoplastic Agents - pharmacokinetics Antineoplastic Agents - therapeutic use Biological Transport, Active Biomedical research Cancer Cancer therapies Chemotherapy Drug therapy Drugs Humans Mathematical Concepts Models, Biological Neoplasms - drug therapy Neoplasms - metabolism Rodents Studies |
| title | Mathematical Based Calculation of Drug Penetration Depth in Solid Tumors |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-10T22%3A27%3A04IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-gale_pubme&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Mathematical%20Based%20Calculation%20of%20Drug%20Penetration%20Depth%20in%20Solid%20Tumors&rft.jtitle=BioMed%20research%20international&rft.au=Nazeri,%20Sina&rft.date=2016-01-01&rft.volume=2016&rft.issue=2016&rft.spage=1&rft.epage=8&rft.pages=1-8&rft.issn=2314-6133&rft.eissn=2314-6141&rft_id=info:doi/10.1155/2016/8437247&rft_dat=%3Cgale_pubme%3EA520715831%3C/gale_pubme%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=1797845627&rft_id=info:pmid/27376087&rft_galeid=A520715831&rfr_iscdi=true |