The Dynamics of HPV Infection and Cervical Cancer Cells
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The development of cervical cells from normal cells infected by human papillomavirus into invasive cancer cells can be modeled using population dynamics of the cells and free virus. The cell populations are separated into four compartments: susceptible cells, infected cells, precancerous cells and cancer cells. The model system of differential equations also has a free virus compartment in the system, which infect normal cells. We analyze the local stability of the equilibrium points of the model and investigate the parameters, which play an important role in the progression toward invasive cancer. By simulation, we investigate the boundary between initial conditions of solutions, which tend to stable equilibrium point, representing controlled infection, and those which tend to unbounded growth of the cancer cell population. Parameters affected by drug treatment are varied, and their effect on the risk of cancer progression is explored.
KeywordsHPV Cervical cancer Mathematical modeling
Thanks to Tim Sparer, Louis J. Gross, Vitaly Ganusov, Jiang Jiang and Kelsey Bratton for useful discussion and assistance.
- Abdulkarim B, Sabri S, Deutsch E, Chagraoui H, Maggiorella L, Thierry J, Eschwege F, Vainchenker W, Chouaïb S, Bourhis J (2002) Antiviral agent cidofovir restores p53 function and enhances the radiosensitivity in HPV-associated cancers. Oncogene 21:2334–2346. doi: 10.1038/sj.onc.1206402 CrossRefGoogle Scholar
- Ault KA (2006) Clinical study, epidemiology and natural history of human papillomavirus infections in the female genital tract. Infect Dis Obstet Gynecol 40470. doi: 10.1155/IDOG/2006/40470
- Globocan 2008 (2010) http://globocan.iarc.fr/, Downloaded March 2012
- IARC (2005) IARC handbooks of cancer prevention, cervix cancer screening. IARC Press, LyonGoogle Scholar
- IARC (2007) IARC monographs on the evaluation of carcinogenic risk to humans, volume 90, human papillomavirus. IARC Press, LyonGoogle Scholar
- Kohli M, Ferko N, Martin A, Franco EL, Jenkins D, Gallivan S, Sherlaw-Johnson C, Drummond M (2007) Estimating the long-term impact of a prophylactic human papillomavirus 16/18 vaccine on the burden of cervical cancer in the UK. Br J Cancer 96:143–150. doi: 10.1038/sj.bjc.6603501 CrossRefGoogle Scholar
- Motoyama S, Ladines-Llave CA, Villanueva SL, Maruo T (2004) The role of human papilloma virus in the molecular biology of cervical carcinoma. Kobe J Med Sci 50:9–19Google Scholar
- Mougin C, Dalstein V, Pretet JL, Gay C, Schall JP, Riethmuller D (2001) Epidemiology of cervical papillomavirus infections, recent knowledge. Presse Med 30:1017–1023Google Scholar
- Schorge JO, Schaffer JI, Halvorson LM, Hoffman BL, Bradshaw KD, Chunningham FG (2008) Cervical cancer. In: Williams gynecology. McGraw-Hill, NYGoogle Scholar
- Wright TC, Ferenczy A (2002) Anatomy and histology of the cervix. Blaustein’s pathology of the female genital tract, 5th edn. Springer, New York, pp 207–224Google Scholar