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Updated: July 5th, 2023 16:04

2020 journal article

Mechanistic model of hormonal contraception

*PLOS COMPUTATIONAL BIOLOGY*, *16*(6).

Source: Web Of Science

Added: August 24, 2020

2017 journal article

A model of ovulatory regulation examining the effects of insulin-mediated testosterone production on ovulatory function

*JOURNAL OF THEORETICAL BIOLOGY*, *416*, 149–160.

author keywords: Polycystic ovary syndrome; Steroidogenesis

MeSH headings : Adult; Androgens / physiology; Female; Humans; Hyperinsulinism; Insulin / physiology; Insulin Resistance; Menstrual Cycle; Models, Theoretical; Ovulation; Polycystic Ovary Syndrome; Testosterone / biosynthesis; Testosterone / physiology

Source: Web Of Science

Added: August 6, 2018

2016 journal article

A delay differential equation model of follicle waves in women

*JOURNAL OF BIOLOGICAL DYNAMICS*, *10*(1), 200–221.

author keywords: Estradiol; parameter; pituitary gland; superfecundation; bifurcation

MeSH headings : Female; Gonadal Steroid Hormones / blood; Humans; Models, Theoretical; Ovarian Follicle / physiology; Ovulation; Pituitary Hormones / blood

Source: Web Of Science

Added: August 6, 2018

2014 journal article

Bifurcation analysis of a menstrual cycle model reveals multiple mechanisms linking testosterone and classical PCOS

*JOURNAL OF THEORETICAL BIOLOGY*, *361*, 31–40.

author keywords: Hysteresis; Parameters; Estradiol; Follicle; Pituitary

MeSH headings : Female; Humans; Luteinizing Hormone / metabolism; Menstrual Cycle; Models, Biological; Pituitary Gland / metabolism; Pituitary Gland / physiopathology; Polycystic Ovary Syndrome / metabolism; Polycystic Ovary Syndrome / physiopathology

Source: Web Of Science

Added: August 6, 2018

2014 journal article

Modeling Endocrine Control of the Pituitary-Ovarian Axis: Androgenic Influence and Chaotic Dynamics

*BULLETIN OF MATHEMATICAL BIOLOGY*, *76*(1), 136–156.

author keywords: Modeling; Androgens

MeSH headings : Androgens / physiology; Computer Simulation; Feedback, Physiological; Female; Follicle Stimulating Hormone / physiology; Humans; Hypothalamo-Hypophyseal System / physiology; Luteinizing Hormone / physiology; Mathematical Concepts; Menstrual Cycle / physiology; Models, Biological; Nonlinear Dynamics; Ovarian Follicle / physiology; Ovary / physiology; Polycystic Ovary Syndrome / etiology; Polycystic Ovary Syndrome / physiopathology; Systems Biology

Source: Web Of Science

Added: August 6, 2018

2014 journal article

Modeling endocrine regulation of the menstrual cycle using delay differential equations

*MATHEMATICAL BIOSCIENCES*, *257*, 11–22.

author keywords: Bifurcation; Estradiol; Follicle; Parameter; Pituitary gland

MeSH headings : Estradiol / physiology; Female; Humans; Menstrual Cycle / physiology; Models, Biological; Pituitary Gland / physiology

Source: Web Of Science

Added: August 6, 2018

2013 journal article

A lifelong model for the female reproductive cycle with an antimullerian hormone treatment to delay menopause

*JOURNAL OF THEORETICAL BIOLOGY*, *326*, 21–35.

author keywords: Menstrual cycle; Primordial follicle; Parameter identification

MeSH headings : Adult; Anti-Mullerian Hormone / administration & dosage; Computer Simulation; Female; Humans; Longevity / physiology; Menopause / drug effects; Menstrual Cycle / drug effects; Menstrual Cycle / physiology; Middle Aged; Models, Biological; Primary Ovarian Insufficiency / prevention & control; Reproduction / physiology; Time Factors; Young Adult

Source: Web Of Science

Added: August 6, 2018

2011 journal article

Dynamics and bifurcation of a model for hormonal control of the menstrual cycle with inhibin delay

*MATHEMATICAL BIOSCIENCES*, *234*(2), 95–107.

author keywords: Estradiol; Follicle; Hill function; Degenerate Hopf bifurcation

MeSH headings : Computer Simulation; Estradiol / physiology; Female; Follicle Stimulating Hormone / antagonists & inhibitors; Follicle Stimulating Hormone / physiology; Humans; Inhibins / physiology; Menstrual Cycle / physiology; Models, Biological; Ovarian Follicle / physiology; Ovulation / physiology

Source: Web Of Science

Added: August 6, 2018

2010 journal article

Bifurcation analysis of a model for hormonal regulation of the menstrual cycle

*MATHEMATICAL BIOSCIENCES*, *225*(2), 108–114.

author keywords: Estradiol; Follicle; Parameter; Transcritical bifurcation

Source: Web Of Science

Added: August 6, 2018

2009 journal article

A model for hormonal control of the menstrual cycle: Structural consistency but sensitivity with regard to data

*JOURNAL OF THEORETICAL BIOLOGY*, *260*(4), 572–580.

author keywords: Estradiol; Follicle; Parameter; Bifurcation

MeSH headings : Estradiol / blood; Estradiol / physiology; Female; Gonadotropins, Pituitary / blood; Gonadotropins, Pituitary / physiology; Humans; Luteinizing Hormone / biosynthesis; Luteinizing Hormone / physiology; Menstrual Cycle / physiology; Models, Biological; Ovarian Follicle / physiology; Ovulation / physiology; Polycystic Ovary Syndrome / physiopathology

Source: Web Of Science

Added: August 6, 2018

2009 journal article

Dynamical behaviour of a discrete selection-migration model with arbitrary dominance

*JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS*, *15*(4), 371–385.

author keywords: natural selection; immigration; transgene; dominance; attractor

Source: Web Of Science

Added: August 6, 2018

2007 article

Global attractors for a discrete selection model with periodic immigration

Selgrade, J. F., & Roberds, J. H. (2007, April). *JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS*, Vol. 13, pp. 275–287.

Source: Web Of Science

Added: August 6, 2018

2005 journal article

On a system of rational difference equations

*JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS*, *11*(7), 565–580.

Source: Web Of Science

Added: August 6, 2018

2005 journal article

Results on asymptotic behaviour for discrete, two-patch metapopulations with density-dependent selection

*JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS*, *11*(4-5), 459–476.

author keywords: metapopulation; equilibrium; attractor; discrete population model

Source: Web Of Science

Added: August 6, 2018

2003 journal article

Attractors for discrete periodic dynamical systems

*JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS*, *286*(1), 64–79.

Source: Web Of Science

Added: August 6, 2018

2003 journal article

Global asymptotic behavior of a two-dimensional difference equation modelling competition

*NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS*, *52*(7), 1765–1776.

author keywords: asymptotic behavior; monotonicity; stability; stable manifold

Source: Web Of Science

Added: August 6, 2018

2003 journal article

Multiple stable periodic solutions in a model for hormonal control of the menstrual cycle

*BULLETIN OF MATHEMATICAL BIOLOGY*, *65*(1), 157–173.

Source: Web Of Science

Added: August 6, 2018

2001 journal article

On the structure of attractors for discrete, periodically forced systems with applications to population models

*PHYSICA D*, *158*(1-4), 69–82.

author keywords: periodic forcing; attractors; discrete population models

Source: Web Of Science

Added: August 6, 2018

2000 journal article

A model of gonadotropin regulation during the menstrual cycle in women: Qualitative features

*ENVIRONMENTAL HEALTH PERSPECTIVES*, *108*, 873–881.

Source: Web Of Science

Added: August 6, 2018

2000 journal article

Dynamical analysis of density-dependent selection in a discrete one-island migration model

*MATHEMATICAL BIOSCIENCES*, *164*(1), 1–15.

author keywords: selection; migration; genotype; density-dependence; bifurcation

MeSH headings : Alleles; Animals; Emigration and Immigration; Genetic Variation / genetics; Geography; Humans; Models, Genetic; Nonlinear Dynamics; Polymorphism, Genetic / genetics; Population Dynamics; Selection, Genetic

Source: Web Of Science

Added: August 6, 2018

1998 journal article

Using stocking or harvesting to reverse period-doubling bifurcations in discrete population models

*JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS*, *4*(2), 163–183.

Source: Web Of Science

Added: August 6, 2018

1997 journal article

Period-doubling bifurcations for systems of difference equations and applications to models in population biology

*NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS*, *29*(2), 185–199.

Source: Web Of Science

Added: August 6, 2018

1992 journal article

Dynamical behavior for population genetics models of differential and difference equations with nonmonotone fitnesses

*Journal of Mathematical Biology*, *30*(8), 815.

Source: NC State University Libraries

Added: August 6, 2018

1987 journal article

CONVERGENCE TO EQUILIBRIUM IN A GENETIC MODEL WITH DIFFERENTIAL VIABILITY BETWEEN THE SEXES

*JOURNAL OF MATHEMATICAL BIOLOGY*, *25*(5), 477–490.

Source: Web Of Science

Added: August 6, 2018

1984 journal article

Dynamical behavior of differential equation models of frequency and density dependent populations

*Journal of Mathematical Biology*, *19*(1), 133.

Source: NC State University Libraries

Added: August 6, 2018