Dynamics of a Data Based Ovarian Cancer Growth and Treatment Model with Time Delay

R. A. Everett, J. D. Nagy, Yang Kuang

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

We present a simple model that describes ovarian tumor growth and tumor induced angiogenesis, subject to on and off anti-angiogenesis treatment. The tumor growth is governed by Droop’s cell quota model, a mathematical expression developed in ecology. Here, the cell quota represents the intracellular concentration of necessary nutrients provided through blood supply. We present mathematical analysis of the model, including proving positivity of the solutions so that they are biologically meaningful, as well as discussing local and global stability. The mathematical model can be employed to fit both on-treatment and off-treatment preclinical data using the same biologically relevant parameters. We also state an open mathematical question.

Original languageEnglish (US)
JournalJournal of Dynamics and Differential Equations
DOIs
StateAccepted/In press - Sep 30 2015

Fingerprint

Ovarian Cancer
Angiogenesis
Time Delay
Tumor Growth
Cell
Local Stability
Ecology
Global Stability
Mathematical Analysis
Nutrients
Positivity
Blood
Tumor
Model
Mathematical Model
Necessary

Keywords

  • Data validation
  • Delay equation
  • Droop model
  • Ovarian tumor model
  • Stability

ASJC Scopus subject areas

  • Analysis

Cite this

Dynamics of a Data Based Ovarian Cancer Growth and Treatment Model with Time Delay. / Everett, R. A.; Nagy, J. D.; Kuang, Yang.

In: Journal of Dynamics and Differential Equations, 30.09.2015.

Research output: Contribution to journalArticle

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