Decay Dynamics of Tumors.
The fractional cell kill is a mathematical expression describing the rate at which a certain population of cells is reduced to a fraction of itself. We investigate the mathematical function that governs the rate at which a solid tumor is lysed by a cell population of cytotoxic lymphocytes. We do it...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Public Library of Science (PLoS)
2016-01-01
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| Series: | PLoS ONE |
| Online Access: | http://europepmc.org/articles/PMC4910984?pdf=render |
| _version_ | 1818259232684769280 |
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| author | Álvaro G López Jesús M Seoane Miguel A F Sanjuán |
| author_facet | Álvaro G López Jesús M Seoane Miguel A F Sanjuán |
| author_sort | Álvaro G López |
| collection | DOAJ |
| description | The fractional cell kill is a mathematical expression describing the rate at which a certain population of cells is reduced to a fraction of itself. We investigate the mathematical function that governs the rate at which a solid tumor is lysed by a cell population of cytotoxic lymphocytes. We do it in the context of enzyme kinetics, using geometrical and analytical arguments. We derive the equations governing the decay of a tumor in the limit in which it is plainly surrounded by immune cells. A cellular automaton is used to test such decay, confirming its validity. Finally, we introduce a modification in the fractional cell kill so that the expected dynamics is attained in the mentioned limit. We also discuss the potential of this new function for non-solid and solid tumors which are infiltrated with lymphocytes. |
| first_indexed | 2024-12-12T18:12:10Z |
| format | Article |
| id | doaj.art-1d72503939f84120ae8c12e67ce0d21d |
| institution | Directory Open Access Journal |
| issn | 1932-6203 |
| language | English |
| last_indexed | 2024-12-12T18:12:10Z |
| publishDate | 2016-01-01 |
| publisher | Public Library of Science (PLoS) |
| record_format | Article |
| series | PLoS ONE |
| spelling | doaj.art-1d72503939f84120ae8c12e67ce0d21d2022-12-22T00:16:22ZengPublic Library of Science (PLoS)PLoS ONE1932-62032016-01-01116e015768910.1371/journal.pone.0157689Decay Dynamics of Tumors.Álvaro G LópezJesús M SeoaneMiguel A F SanjuánThe fractional cell kill is a mathematical expression describing the rate at which a certain population of cells is reduced to a fraction of itself. We investigate the mathematical function that governs the rate at which a solid tumor is lysed by a cell population of cytotoxic lymphocytes. We do it in the context of enzyme kinetics, using geometrical and analytical arguments. We derive the equations governing the decay of a tumor in the limit in which it is plainly surrounded by immune cells. A cellular automaton is used to test such decay, confirming its validity. Finally, we introduce a modification in the fractional cell kill so that the expected dynamics is attained in the mentioned limit. We also discuss the potential of this new function for non-solid and solid tumors which are infiltrated with lymphocytes.http://europepmc.org/articles/PMC4910984?pdf=render |
| spellingShingle | Álvaro G López Jesús M Seoane Miguel A F Sanjuán Decay Dynamics of Tumors. PLoS ONE |
| title | Decay Dynamics of Tumors. |
| title_full | Decay Dynamics of Tumors. |
| title_fullStr | Decay Dynamics of Tumors. |
| title_full_unstemmed | Decay Dynamics of Tumors. |
| title_short | Decay Dynamics of Tumors. |
| title_sort | decay dynamics of tumors |
| url | http://europepmc.org/articles/PMC4910984?pdf=render |
| work_keys_str_mv | AT alvaroglopez decaydynamicsoftumors AT jesusmseoane decaydynamicsoftumors AT miguelafsanjuan decaydynamicsoftumors |