James Francis Selgrade

Works (25)

Updated: March 2nd, 2024 09:43

2020 journal article

Mechanistic model of hormonal contraception

PLOS COMPUTATIONAL BIOLOGY, 16(6).

By: A. Wright n, G. Fayad*, J. Selgrade n & M. Olufsen n

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
MeSH headings : Adult; Contraceptive Agents / therapeutic use; Estrogens / therapeutic use; Female; Follicle Stimulating Hormone / physiology; Hormonal Contraception; Humans; Hypothalamus / drug effects; Luteinizing Hormone / physiology; Menstrual Cycle / drug effects; Models, Biological; Ovary / drug effects; Pituitary Gland / drug effects; Progestins / therapeutic use
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, 149โ€“160.

By: E. Grahamโ€‰* & J. Selgrade n

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
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), 200โ€“221.

By: N. Panza n, A. Wright n & J. Selgrade n

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
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, 31โ€“40.

By: A. Hendrix n & J. Selgrade n

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
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), 136โ€“156.

By: A. Hendrix n, C. Hughes n & J. Selgrade n

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
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, 11โ€“22.

By: L. Harris & J. Selgrade*

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, 21โ€“35.

By: A. Margolskee n & J. Selgrade n

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
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), 95โ€“107.

By: A. Margolskee n & J. Selgrade n

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
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), 108โ€“114.

By: J. Selgrade n

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
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), 572โ€“580.

By: J. Selgrade n, L. Harris* & R. Pasteur*

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
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), 371โ€“385.

By: J. Selgrade n, J. Bostic n & J. Roberds*

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
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. 275โ€“287.

By: J. Selgrade n & J. Roberds*

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
author keywords: natural selection; periodic immigration; complete dominance; no dominance; global attractor
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), 565โ€“580.

By: C. Clarkโ€‰*, M. Kulenovicโ€‰* & J. Selgrade n

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
author keywords: difference equation; global asymptotic stability; invariant set; monotone map; stable manifold
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), 459โ€“476.

By: J. Selgrade n & J. Roberds*

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
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), 64โ€“79.

By: J. Franke n & J. Selgrade n

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
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), 1765โ€“1776.

By: D. Clark*, M. Kulenovicโ€‰* & J. Selgrade n

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
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), 157โ€“173.

By: L. Clark, P. Schlosser & J. Selgrade

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), 69โ€“82.

By: J. Selgrade n & J. Roberds*

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
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, 873โ€“881.

By: P. Schlosser* & J. Selgrade*

author keywords: estradiol; follicle-stimulating hormone; luteinizing hormone; mathematical model; menstrual cycle; progesterone
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), 1โ€“15.

By: J. Roberds* & J. Selgrade n

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
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), 163โ€“183.

By: J. Selgrade n

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
author keywords: discrete models; period-doubling bifurcations and reversals; pioneer and climax populations
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), 185โ€“199.

By: J. Selgrade n & J. Roberds n

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
author keywords: discrete models; period-doubling bifurcation; Henon map; population genetics; pioneer and climax populations
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.

By: J. Selgrade & G. Namkoong

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), 477โ€“490.

By: J. Selgrade n & M. Ziehe n

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
MeSH headings : Alleles; Female; Fertility; Genotype; Humans; Male; Mathematics; Models, Genetic; Sex Characteristics; Survival
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.

By: J. Selgrade & G. Namkoong

Source: NC State University Libraries
Added: August 6, 2018

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