Abstract

Prostate cancer is commonly treated by a form of hormone therapy called androgen suppression. This form of treatment, while successful at reducing the cancer cell population, adversely affects quality of life and typically leads to a recurrence of the cancer in an androgen-independent form. Intermittent androgen suppression aims to alleviate some of these adverse affects by cycling the patient on and off treatment. Clinical studies have suggested that intermittent therapy is capable of maintaining androgen dependence over multiple treatment cycles while increasing quality of life during off-treatment periods. This paper presents a mathematical model of prostate cancer to study the dynamics of androgen suppression therapy and the production of prostate-specific antigen (PSA), a clinical marker for prostate cancer. Preliminary models were based on the assumption of an androgen-independent (AI) cell population with constant net growth rate. These models gave poor accuracy when fitting clinical data during simulation. The final model presented hypothesizes an AI population with increased sensitivity to low levels of androgen. It also hypothesizes that PSA production is heavily dependent on androgen. The high level of accuracy in fitting clinical data with this model appears to confirm these hypotheses, which are also consistent with biological evidence.

Highlights

  • Prostate cancer is the most common type of non-skin cancer in American men and the second leading cause of cancer mortality.[1]

  • Prostate cells respond to these androgens by way of the androgen receptor (AR), and in most cases, prostate cancer cells are dependent on androgen

  • All of the cases show prostate-specific antigen (PSA) levels approaching the exponential curve of the AI population once it has overtaken the AD population

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Summary

INTRODUCTION

Prostate cancer is the most common type of non-skin cancer in American men and the second leading cause of cancer mortality.[1]. The prostate cancer in most patients, almost all patients with metastatic disease experience a relapse within several years At this hormone refractory stage, the androgen-dependent (AD) cells have been replaced by what are commonly referred to as androgen-independent (AI) cells. The use of androgen suppression drugs is more common given the psychological impact of surgery.[5] These drugs include luteinizing hormone-releasing hormone (LHRH) agonists and analogs which lower the amount of testosterone produced by the testicles and antiandrogens which block androgen from activating the androgen receptor. Both methods of androgen suppression have adverse effects in addition to the development of androgen independence. False positives and negatives are not uncommon when screening for prostate cancer

RELATED WORK
MODEL DEVELOPMENT
Preliminary model
Final model
SIMULATION
Ideta model
Predictions
DISCUSSION
Full Text
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