2000
DOI: 10.1186/bcr90
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Molecular biology of breast metastasis The use of mathematical models to determine relapse and to predict response to chemotherapy in breast cancer

Abstract: Breast cancer mortality rates have shown only modest improvement despite the advent of effective chemotherapeutic agents which have been administered to a large percentage of women with breast cancer. In an effort to improve breast cancer treatment strategies, a variety of mathematical models have been developed that describe the natural history of breast cancer and the effects of treatment on the cancer. These models help researchers to develop, quantify, and test various treatment hypotheses quickly and effi… Show more

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Cited by 64 publications
(44 citation statements)
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References 37 publications
(41 reference statements)
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“…(23,24,27 -32) Using mathematical models, several investigators demonstrate how primary tumours may require years (sometimes decades) growth before becoming clinically detectable. (19,22,23) In contrast, locally recurrent tumours often develop during the first two years after primary tumour removal. (16)(17)(18)(19)(20)27,(33)(34)(35)(36) This may represent an acceleration in growth, a phenomenon that is replicated accurately in several different animal models.…”
Section: The Issuesmentioning
confidence: 93%
See 2 more Smart Citations
“…(23,24,27 -32) Using mathematical models, several investigators demonstrate how primary tumours may require years (sometimes decades) growth before becoming clinically detectable. (19,22,23) In contrast, locally recurrent tumours often develop during the first two years after primary tumour removal. (16)(17)(18)(19)(20)27,(33)(34)(35)(36) This may represent an acceleration in growth, a phenomenon that is replicated accurately in several different animal models.…”
Section: The Issuesmentioning
confidence: 93%
“…in adjacent tissue) may follow the incomplete removal of any tumour. (17)(18)(19)(20)(21)(22) Early systemic recurrence (i.e. secondary tumors) is most often associated with tumours such as melanoma and sarcoma.…”
Section: The Issuesmentioning
confidence: 99%
See 1 more Smart Citation
“…It suggests that an antiangiogenic drug given before surgery or timing surgery to the menstrual cycle for young women will reduce growth stimulation from surgery. This model has spawned a few clinical trials and logically could lead to metronomic therapy protocols [54-60]. The fundamental difference in this approach is that it specifies and quantifies the inherently intermittent or saltatory nature of tumor growth.…”
Section: Mathematical and Computer Models Of Breast Cancer Growthmentioning
confidence: 99%
“…A great deal of effort has been pitched at statistical studies of these data on recurrence and mortality in breast cancer and some mathematical modelling (for a review see [13]) has also tried to infer plausible tumour growth profiles and other parameters which can explain the pattern of recurrences.…”
Section: Models Of Recurrence In Breast Cancermentioning
confidence: 99%