Oxford JournalsScience & Mathematics Mathematical Medicine and BiologyAdvance Access10.1093/imammb/dqv006

Mathematical modelling of decline in follicle pool during female reproductive ageing
Alagu Thilagam
+ Author Affiliations

Mawson Institute, Information Technology, Engineering and Environment, University of South Australia, Adelaide 5095, South Australia
Corresponding author:,
Received November 12, 2014.
Revision received January 20, 2015.
Accepted February 19, 2015.

The factors which govern the subtle links between follicle loss and mammalian female reproductive ageing remain unclear despite extensive studies undertaken to understand the critical physiological and biochemical mechanisms that underly the accelerated decline in follicle numbers in women older than 37 years. It is not certain whether there is a sole control by the ovary or whether other factors which affect ageing also intersect with the ovarian effect. There is convincing experimental evidence for an interplay of several processes that seem to influence the follicle loss-female reproductive ageing links, with specific hormones (follicle-stimulating hormone, anti-Müllerian hormone, dehydroepiandrosterone) noted to play important roles in follicular dynamics and ovarian ageing. In this work, we examine the subtle links between the rate of follicular decline with ageing and the role of hormones via a series of non-autonomous equations. Simulation results based on the time evolution of the number of ovarian follicles and biochemical changes in the ovarian environment influenced by hormone levels is compared with empirical data based on follicle loss-reproductive ageing correlation studies.

Key words
reproductive ageing anti-Müllerian hormone (AMH) ovarian reserve dehydroepiandrosterone (DHEA) mathematical models
© Crown copyright 2015
This Article
Math Med Biol (2015)
doi: 10.1093/imammb/dqv006
First published online: March 21, 2015
» AbstractFree
Full Text (HTML)
Full Text (PDF)
Alert me when cited
Alert me if corrected
Find similar articles
Similar articles in PubMed
Add to my archive
Download citation
Request Permissions
+Citing Articles
+Google Scholar
Add to CiteULike Add to Delicious Add to Facebook Add to Mendeley Add to Twitter
What’s this?
This Article
Math Med Biol (2015)
doi: 10.1093/imammb/dqv006
First published online: March 21, 2015
» AbstractFree
Full Text (HTML)
Full Text (PDF)
Search this journal:
Advanced »
Current Issue
June 2015 32 (2)
Mathematical Medicine and Biology
Alert me to new issues
The Journal
About this journal
Publishers’ Books for Review
Rights & Permissions
Dispatch date of the next issue
Conflict of Interest Policy
We are mobile – find out more
This journal is a member of the Committee on Publication Ethics (COPE)
Journals Career Network
Published on behalf of
The Institute of Mathematics and its Applications
The Institute of Mathematics and its Applications
Impact factor: 1.658
5-Yr impact factor: 2.045
Professor Oliver E. Jensen
Professor John R. King
Professor James P. Keener
View full editorial board
For Authors
Instructions to authors
Author Self Archiving Policy
Submit now!
Oxford Open
Open access options for authors – visit Oxford Open
PMC Logo
This journal enables compliance with the NIH Public Access Policy
Alerting Services
Email table of contents
Email Advance Access
XML RSS feed
Corporate Services
Advertising sales
Most Read
Most Cited
A new relation between prevalence and incidence of a chronic disease
Release mechanism and parameter estimation in drug-eluting stent systems: analytical solutions of drug release and tissue transport
A hybrid mathematical model of solid tumour invasion: the importance of cell adhesion
Multiple travelling-wave solutions in a minimal model for cell motility
Mathematical modelling of avascular-tumour growth
» View all Most Read articles
Disclaimer: Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.
Online ISSN 1477-8602 – Print ISSN 1477-8599
Copyright © 2015 Institute of Mathematics and its Applications
Site Map Privacy Policy Cookie Policy Legal Notices Frequently Asked Questions
Other Oxford University Press sites:

oi-logoAbout the IndexShow related links
Search across all sources


Leave a Reply

Fill in your details below or click an icon to log in: Logo

You are commenting using your account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s