James Francis Selgrade
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Works (25)
Updated: July 5th, 2023 16:04
2020 journal article
Mechanistic model of hormonal contraception
PLOS COMPUTATIONAL BIOLOGY, 16(6).
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
journals.plos.org (publisher PDF)
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.
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), 565–580.
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), 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.
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), 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.
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), 185–199.
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.
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.
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.
Source: NC State University Libraries
Added: August 6, 2018
