Mathematical analysis and simulations involving chemotherapy and surgeryon large human tumours under a suitable cell-kill functional response
Dosage and frequency of treatment schedulesare important for successful chemotherapy.However, in this work we argue that cell-kill response and tumoralgrowth should not be seen as separate and therefore are essential in a mathematical cancer model.This paper presents a mathematical model for sequenc...
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| Format: | Article |
| Language: | English |
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AIMS Press
2012-11-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2013.10.221 |
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| author | Diego Samuel Rodrigues Paulo Fernando de Arruda Mancera |
| author_facet | Diego Samuel Rodrigues Paulo Fernando de Arruda Mancera |
| author_sort | Diego Samuel Rodrigues |
| collection | DOAJ |
| description | Dosage and frequency of treatment schedulesare important for successful chemotherapy.However, in this work we argue that cell-kill response and tumoralgrowth should not be seen as separate and therefore are essential in a mathematical cancer model.This paper presents a mathematical model for sequencing of cancer chemotherapy andsurgery. Our purpose is to investigate treatments for large human tumoursconsidering a suitable cell-kill dynamics. Weuse some biological and pharmacological data in a numerical approach,where drug administration occurs in cycles (periodic infusion)and surgery is performed instantaneously. Moreover, we alsopresent an analysis of stabilityfor a chemotherapeutic model with continuous drug administration.According to Norton & Simon [22], our results indicate that chemotherapy is lessefficient in treating tumours that have reached a plateau level of growingand that a combination with surgical treatment can provide better outcomes. |
| format | Article |
| id | doaj-art-543b909ed49d49b2ae47a507c7c08cf1 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2012-11-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-543b909ed49d49b2ae47a507c7c08cf12025-01-24T02:25:25ZengAIMS PressMathematical Biosciences and Engineering1551-00182012-11-0110122123410.3934/mbe.2013.10.221Mathematical analysis and simulations involving chemotherapy and surgeryon large human tumours under a suitable cell-kill functional responseDiego Samuel Rodrigues0Paulo Fernando de Arruda Mancera1Universidade de São Paulo, Depto de Matemática Aplicada e Estatística, ICMC, USP, 13560-970, São CarlosUniversidade de São Paulo, Depto de Matemática Aplicada e Estatística, ICMC, USP, 13560-970, São CarlosDosage and frequency of treatment schedulesare important for successful chemotherapy.However, in this work we argue that cell-kill response and tumoralgrowth should not be seen as separate and therefore are essential in a mathematical cancer model.This paper presents a mathematical model for sequencing of cancer chemotherapy andsurgery. Our purpose is to investigate treatments for large human tumoursconsidering a suitable cell-kill dynamics. Weuse some biological and pharmacological data in a numerical approach,where drug administration occurs in cycles (periodic infusion)and surgery is performed instantaneously. Moreover, we alsopresent an analysis of stabilityfor a chemotherapeutic model with continuous drug administration.According to Norton & Simon [22], our results indicate that chemotherapy is lessefficient in treating tumours that have reached a plateau level of growingand that a combination with surgical treatment can provide better outcomes.https://www.aimspress.com/article/doi/10.3934/mbe.2013.10.221norton-simon hypothesischemotherapymathematicalmodelling.tumour |
| spellingShingle | Diego Samuel Rodrigues Paulo Fernando de Arruda Mancera Mathematical analysis and simulations involving chemotherapy and surgeryon large human tumours under a suitable cell-kill functional response Mathematical Biosciences and Engineering norton-simon hypothesis chemotherapy mathematicalmodelling. tumour |
| title | Mathematical analysis and simulations involving chemotherapy and surgeryon large human tumours under a suitable cell-kill functional response |
| title_full | Mathematical analysis and simulations involving chemotherapy and surgeryon large human tumours under a suitable cell-kill functional response |
| title_fullStr | Mathematical analysis and simulations involving chemotherapy and surgeryon large human tumours under a suitable cell-kill functional response |
| title_full_unstemmed | Mathematical analysis and simulations involving chemotherapy and surgeryon large human tumours under a suitable cell-kill functional response |
| title_short | Mathematical analysis and simulations involving chemotherapy and surgeryon large human tumours under a suitable cell-kill functional response |
| title_sort | mathematical analysis and simulations involving chemotherapy and surgeryon large human tumours under a suitable cell kill functional response |
| topic | norton-simon hypothesis chemotherapy mathematicalmodelling. tumour |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2013.10.221 |
| work_keys_str_mv | AT diegosamuelrodrigues mathematicalanalysisandsimulationsinvolvingchemotherapyandsurgeryonlargehumantumoursunderasuitablecellkillfunctionalresponse AT paulofernandodearrudamancera mathematicalanalysisandsimulationsinvolvingchemotherapyandsurgeryonlargehumantumoursunderasuitablecellkillfunctionalresponse |