Interstitial Pressure And Fluid Motion In Tumor Cords
This work illustrates the behavior of the interstitial pressure andof the interstitial fluid motion in tumor cords (cylindrical arrangements oftumor cells growing around blood vessels of the tumor) by means of numericalsimulations on the basis of a mathematical model previously developed. Themodel d...
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| Format: | Article |
| Language: | English |
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AIMS Press
2005-07-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2005.2.445 |
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| author | Alessandro Bertuzzi Antonio Fasano Alberto Gandolfi Carmela Sinisgalli |
| author_facet | Alessandro Bertuzzi Antonio Fasano Alberto Gandolfi Carmela Sinisgalli |
| author_sort | Alessandro Bertuzzi |
| collection | DOAJ |
| description | This work illustrates the behavior of the interstitial pressure andof the interstitial fluid motion in tumor cords (cylindrical arrangements oftumor cells growing around blood vessels of the tumor) by means of numericalsimulations on the basis of a mathematical model previously developed. Themodel describes the steady state of a tumor cord surrounded by necrosis and itstime evolution following cell killing. The most relevant aspects of the dynamicsof extracellular fluid are by computing the longitudinal average of the radialfluid velocity and of the pressure field. In the present paper, the necrotic regionis treated as a mixture of degrading dead cells and fluid. |
| format | Article |
| id | doaj-art-9c8c37e63a18418cb34cb7c39a1e01be |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2005-07-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-9c8c37e63a18418cb34cb7c39a1e01be2025-01-24T01:49:00ZengAIMS PressMathematical Biosciences and Engineering1551-00182005-07-012344546010.3934/mbe.2005.2.445Interstitial Pressure And Fluid Motion In Tumor CordsAlessandro Bertuzzi0Antonio Fasano1Alberto Gandolfi2Carmela Sinisgalli3Istituto di Analisi dei Sistemi ed Informatica ''A. Ruberti", CNR, Viale Manzoni 30, 00185 RomaDipartimento di Matematica "U. Dini", Università di Firenze, Viale Morgagni 67/A, 50134 FirenzeIstituto di Analisi dei Sistemi ed Informatica ''A. Ruberti", CNR, Viale Manzoni 30, 00185 RomaIstituto di Analisi dei Sistemi ed Informatica ''A. Ruberti", CNR, Viale Manzoni 30, 00185 RomaThis work illustrates the behavior of the interstitial pressure andof the interstitial fluid motion in tumor cords (cylindrical arrangements oftumor cells growing around blood vessels of the tumor) by means of numericalsimulations on the basis of a mathematical model previously developed. Themodel describes the steady state of a tumor cord surrounded by necrosis and itstime evolution following cell killing. The most relevant aspects of the dynamicsof extracellular fluid are by computing the longitudinal average of the radialfluid velocity and of the pressure field. In the present paper, the necrotic regionis treated as a mixture of degrading dead cells and fluid.https://www.aimspress.com/article/doi/10.3934/mbe.2005.2.445cancer treat-mentinterstitial pressureextracellular fluidtumor growthfree boundary problemspde modeling |
| spellingShingle | Alessandro Bertuzzi Antonio Fasano Alberto Gandolfi Carmela Sinisgalli Interstitial Pressure And Fluid Motion In Tumor Cords Mathematical Biosciences and Engineering cancer treat-ment interstitial pressure extracellular fluid tumor growth free boundary problems pde modeling |
| title | Interstitial Pressure And Fluid Motion In Tumor Cords |
| title_full | Interstitial Pressure And Fluid Motion In Tumor Cords |
| title_fullStr | Interstitial Pressure And Fluid Motion In Tumor Cords |
| title_full_unstemmed | Interstitial Pressure And Fluid Motion In Tumor Cords |
| title_short | Interstitial Pressure And Fluid Motion In Tumor Cords |
| title_sort | interstitial pressure and fluid motion in tumor cords |
| topic | cancer treat-ment interstitial pressure extracellular fluid tumor growth free boundary problems pde modeling |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2005.2.445 |
| work_keys_str_mv | AT alessandrobertuzzi interstitialpressureandfluidmotionintumorcords AT antoniofasano interstitialpressureandfluidmotionintumorcords AT albertogandolfi interstitialpressureandfluidmotionintumorcords AT carmelasinisgalli interstitialpressureandfluidmotionintumorcords |