Dynamics and implications of models for intermittent androgen suppression therapy

Tin Phan, Changhan He, Alejandro Martinez, Yang Kuang

    Research output: Contribution to journalArticle

    1 Citation (Scopus)

    Abstract

    In this paper, we formulate a three cell population model of intermittent androgen suppression therapy for cancer patients to study the treatment resistance development. We compare it with other models that have different underlying cell population structure using patient prostate specific antigen (PSA) and androgen data sets. Our results show that in the absence of extensive data, a two cell population structure performs slightly better in replicating and forecasting the dynamics observed in clinical PSA data. We also observe that at least one absorbing state should be present in the cell population structure of a plausible model for it to produce treatment resistance under continuous hormonal therapy. This suggests that the heterogeneity of prostate cancer cell population can be represented by two types of cells differentiated by their level of dependence on androgen, where the two types are linked via an irreversible transformation.

    Original languageEnglish (US)
    Pages (from-to)187-204
    Number of pages18
    JournalMathematical Biosciences and Engineering
    Volume16
    Issue number1
    DOIs
    StatePublished - Jan 1 2019

    Fingerprint

    Cell Population
    androgens
    Androgens
    Therapy
    Population Structure
    Cells
    therapeutics
    prostate-specific antigen
    population structure
    Antigens
    Population
    cells
    Prostate-Specific Antigen
    Therapeutics
    Prostate Cancer
    Model
    prostatic neoplasms
    Population Model
    Absorbing
    Forecasting

    Keywords

    • cell quota model
    • data fitting
    • hormonal therapy
    • population structure
    • predict treatment outcome
    • prostate cancer modeling

    ASJC Scopus subject areas

    • Modeling and Simulation
    • Agricultural and Biological Sciences(all)
    • Computational Mathematics
    • Applied Mathematics

    Cite this

    Dynamics and implications of models for intermittent androgen suppression therapy. / Phan, Tin; He, Changhan; Martinez, Alejandro; Kuang, Yang.

    In: Mathematical Biosciences and Engineering, Vol. 16, No. 1, 01.01.2019, p. 187-204.

    Research output: Contribution to journalArticle

    Phan, Tin ; He, Changhan ; Martinez, Alejandro ; Kuang, Yang. / Dynamics and implications of models for intermittent androgen suppression therapy. In: Mathematical Biosciences and Engineering. 2019 ; Vol. 16, No. 1. pp. 187-204.
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