Ability of intermittent androgen suppression to selectively create a non-trivial periodic orbit for a type of prostate cancer patients

Journal of Theoretical Biology
Yoshito Hirata, Kazuyuki Aihara

Abstract

Intermittent androgen suppression is becoming a standard clinical option for patients who suffer from recurrence after an initial treatment of prostate cancer such as radiation therapy and radical prostatectomy. In the first mathematical model of intermittent androgen suppression (Ideta et al., 2008), the authors tried to control the trajectory of the model to a periodic orbit to enable patients to coexist with prostate cancer, even if it cannot be eradicated. Recently, we proposed a mathematical model capable of improving the quantitative reproduction of the behavior of prostate cancer under intermittent androgen suppression (Hirata et al., 2010a). Here we examine whether such a stable periodic orbit can be created for patients who eventually will have to experience the relapse of cancer at a later stage. By using a mathematical analysis, we found that the above model of Hirata et al. does not contain a non-zero periodic orbit that can be targeted for such patients, namely patients of type (ii) or type (iii) for whom intermittent androgen suppression cannot stabilize the origin where no cancer cells exist. This result might suggest that the patients must seek to delay the relapse as much as possible if the cancer cannot be era...Continue Reading

References

Feb 22, 2005·Neoplasia : an International Journal for Oncology Research·Trachette L Jackson
Feb 24, 2010·Journal of Theoretical Biology·Yoshito HirataKazuyuki Aihara
Aug 31, 2012·The New England Journal of Medicine·Juanita M CrookLaurence Klotz
Nov 12, 2013·The Journal of Urology·Samir S Taneja
Feb 12, 2014·Journal of Theoretical Biology·Álvaro G LópezMiguel A F Sanjuán
Apr 1, 2014·Methods : a Companion to Methods in Enzymology·Yoshito HirataKazuyuki Aihara
Dec 3, 2014·Journal of Theoretical Biology·Takuma HatanoKazuyuki Aihara

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Citations

Feb 10, 2018·Scientific Reports·Yoshito HirataKazuyuki Aihara
Nov 20, 2021·Bulletin of Mathematical Biology·S PasettoR Brady-Nicholls

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