Bulletin of Mathematical Biology

, Volume 78, Issue 1, pp 4–20 | Cite as

The Dynamics of HPV Infection and Cervical Cancer Cells

  • Tri Sri Noor Asih
  • Suzanne Lenhart
  • Steven Wise
  • Lina Aryati
  • F. Adi-Kusumo
  • Mardiah S. Hardianti
  • Jonathan Forde
Original Article

Abstract

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.

Keywords

HPV Cervical cancer Mathematical modeling 

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Copyright information

© Society for Mathematical Biology 2015

Authors and Affiliations

  • Tri Sri Noor Asih
    • 1
    • 2
    • 3
  • Suzanne Lenhart
    • 4
  • Steven Wise
    • 4
  • Lina Aryati
    • 1
  • F. Adi-Kusumo
    • 1
  • Mardiah S. Hardianti
    • 1
  • Jonathan Forde
    • 3
    • 5
  1. 1.Department of MathematicsGadjah Mada UniversityYogyakartaIndonesia
  2. 2.Semarang State UniversitySemarangIndonesia
  3. 3.National Institute for Mathematical and Biological Synthesis (NIMBioS)KnoxvilleUSA
  4. 4.Department of MathematicsUniversity of TennesseeKnoxvilleUSA
  5. 5.Department of Mathematics and Computer ScienceHobart and William Smith CollegesGenevaUSA

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