A Hybrid Systems Approach to Hormonal Therapy of Prostate Cancer and its Nonlinear Dynamics

Journal Article · Fri Jul 13 00:00:00 EDT 2007 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.2759724· OSTI ID:21067337

Aihara, Kazuyuki ^[1]; Tanaka, Gouhei ^[1]; Suzuki, Taiji ^[2]; Hirata, Yoshito ^[3]

---

1. Institute of Industrial Science, University of Tokyo, 4-6-1 Komaba, Meguro-ku, Tokyo 153-8505 (Japan)
2. Graduate School of Information Science and Technology, University of Tokyo, Tokyo 113-8656 (Japan)
3. Aihara Complexity Modelling Project (Japan)

This talk is to review our recent work on mathematical modeling of prostate cancer and its application to hormonal therapy of intermittent androgen suppression. First, we model the tumor growth of prostate cancer composed of a mixed dynamical assembly of androgen-dependent and androgen-independent cancer cells. Then, we introduce the intermittent androgen suppression to the model as feedback control with monitoring the serum prostate-specific antigen, where the controlled model is described as a hybrid system with continuous and discrete variables. Next, we analyze nonlinear dynamics and bifurcations of the hybrid system. Finally, we discuss a possibility to improve the hormonal therapy.

• OSTI ID: 21067337
• Journal Information: AIP Conference Proceedings, Vol. 922, Issue 1; Conference: ICNF 2007: 19. international conference on noise and fluctuations, Tokyo (Japan), 9-14 Sep 2007; Other Information: DOI: 10.1063/1.2759724; (c) 2007 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

62 RADIOLOGY AND NUCLEAR MEDICINE
ANDROGENS
ANTIGENS
BIFURCATION
CONTROL
MATHEMATICAL MODELS
NEOPLASMS
NONLINEAR PROBLEMS
NUMERICAL ANALYSIS
PATIENTS
PROSTATE
REVIEWS
THERAPY