A Mathematical Model of Cell Cycle Effects in Gastric Cancer Chemotherapy

Bulletin of Mathematical Biology

Volumn 74, Issue 1, 2012, Pages 159-174

  Roe Dale, Rachel ^a   Isaacson, David ^b   Kupferschmid, Michael ^c  

^a SKIDMORE COLLEGE   (United States)

^b Rensselaer Polytechnic Institute   (United States)

^c RENSSELAER POLYTECHNIC INSTITUTE   (United States)

Author keywords

Cell cycle; Drug order; Gastric cancer; Mathematical model

Indexed keywords

ANTINEOPLASTIC AGENT; BRIDGED COMPOUND; FLAVONOID; FLAVOPIRIDOL; PIPERIDINE DERIVATIVE; TAXANE; TAXOID;

ARTICLE; BIOLOGICAL MODEL; CELL CYCLE; COMPUTER SIMULATION; DRUG EFFECT; HUMAN; PATHOLOGY; STOMACH TUMOR;

ANTINEOPLASTIC AGENTS, PHYTOGENIC; ANTINEOPLASTIC COMBINED CHEMOTHERAPY PROTOCOLS; BRIDGED COMPOUNDS; CELL CYCLE; COMPUTER SIMULATION; FLAVONOIDS; HUMANS; MODELS, BIOLOGICAL; PIPERIDINES; STOMACH NEOPLASMS; TAXOIDS;

EID: 84855907010     PISSN: 00928240     EISSN: 15229602     Source Type: Journal    
DOI: 10.1007/s11538-011-9669-x     Document Type: Article

References (12)

1. Bast, R. C., et al. (Eds.) (2005). Cancer medicine. New York: Decker.
2. Ecker, J., & Kupferschmid, M. (2004). Introduction to operations research. Melbourne: Krieger.
3. Edelstein-Keshet, L. (1988). Mathematical models in biology. New York: McGraw-Hill.
4. Motwani, M., et al. (2003). Flavopiridol enhances the effect of docetaxel in vitro and in vivo in human gastric cancer cells. Mol. Cancer Ther., 2, 549-555.
5. Motwani, M., Delohery, T., & Schwartz, G. (1999). Sequential dependent enhancement of caspase activation and apoptosis by flavopiridol on paclitaxel-treated human gastric and breast cancer cells. Clin. Cancer Res., 5, 1876-1883.
6. Panetta, J., & Adam, J. (1995). A mathematical model of cycle-specific chemotherapy. Math. Comput. Model., 22, 67-82.
7. Roe-Dale, R., Isaacson, D., & Kupferschmid, M. (2010). A mathematical model of breast cancer treatment with CMF and doxorubicin. Bull. Math. Biol., 73, 585-608.
8. Schwartz, G. et al. (2002). Phase I study of the cycle-dependent kinase inhibitor flavopiridol in combination with paclitaxel in patients with advanced solid tumors. J. Clin. Oncol., 20, 2157-2170.
9. Shah, M., & Schwartz, G. (2001). Cell cycle-mediated drug resistance: an emerging concept in cancer therapy. Clin. Cancer Res., 7, 2168-2181.
10. Takahashi, M. (1966). Theoretical basis for cell cycle analysis I: labelled mitosis wave method. J. Theor. Biol., 13, 202-211.
11. Takahashi, M. (1968). Theoretical basis for cell cycle analysis II: further studies on labelled mitosis wave method. J. Theor. Biol., 18, 195-209.
12. Weldon, T. E. (1988). Mathematical models in cancer research. Bristol: Hilger.