James Selgrade

Wright, A. A., Fayad, G. N., Selgrade, J. F., & Olufsen, M. S. (2020). Mechanistic model of hormonal contraception. PLOS COMPUTATIONAL BIOLOGY, 16(6). https://doi.org/10.1371/journal.pcbi.1007848

Graham, E. J., & Selgrade, J. F. (2017). A model of ovulatory regulation examining the effects of insulin-mediated testosterone production on ovulatory function. JOURNAL OF THEORETICAL BIOLOGY, 416, 149–160. https://doi.org/10.1016/j.jtbi.2017.01.007

Panza, N. M., Wright, A. A., & Selgrade, J. F. (2016). A delay differential equation model of follicle waves in women. JOURNAL OF BIOLOGICAL DYNAMICS, 10(1), 200–221. https://doi.org/10.1080/17513758.2015.1115564

Hendrix, A. O., & Selgrade, J. F. (2014). Bifurcation analysis of a menstrual cycle model reveals multiple mechanisms linking testosterone and classical PCOS. JOURNAL OF THEORETICAL BIOLOGY, 361, 31–40. https://doi.org/10.1016/j.jtbi.2014.07.020

Hendrix, A. O., Hughes, C. L., & Selgrade, J. F. (2014). Modeling Endocrine Control of the Pituitary-Ovarian Axis: Androgenic Influence and Chaotic Dynamics. BULLETIN OF MATHEMATICAL BIOLOGY, 76(1), 136–156. https://doi.org/10.1007/s11538-013-9913-7

Harris, L. A., & Selgrade, J. F. (2014). Modeling endocrine regulation of the menstrual cycle using delay differential equations. MATHEMATICAL BIOSCIENCES, 257, 11–22. https://doi.org/10.1016/j.mbs.2014.08.011

Margolskee, A., & Selgrade, J. F. (2013). A lifelong model for the female reproductive cycle with an antimullerian hormone treatment to delay menopause. JOURNAL OF THEORETICAL BIOLOGY, 326, 21–35. https://doi.org/10.1016/j.jtbi.2013.02.007

Margolskee, A., & Selgrade, J. F. (2011). Dynamics and bifurcation of a model for hormonal control of the menstrual cycle with inhibin delay. MATHEMATICAL BIOSCIENCES, 234(2), 95–107. https://doi.org/10.1016/j.mbs.2011.09.001

Selgrade, J. F. (2010). Bifurcation analysis of a model for hormonal regulation of the menstrual cycle. MATHEMATICAL BIOSCIENCES, 225(2), 108–114. https://doi.org/10.1016/j.mbs.2010.02.004

Selgrade, J. F., Harris, L. A., & Pasteur, R. D. (2009). 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. https://doi.org/10.1016/j.jtbi.2009.06.017

Selgrade, J. F., Bostic, J. W., & Roberds, J. H. (2009). Dynamical behaviour of a discrete selection-migration model with arbitrary dominance. JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 15(4), 371–385. https://doi.org/10.1080/10236190802400741

Selgrade, J. F., & Roberds, J. H. (2007, April). Global attractors for a discrete selection model with periodic immigration. JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, Vol. 13, pp. 275–287. https://doi.org/10.1080/10236190601079100

Clark, C. A., Kulenovic, M. R. S., & Selgrade, J. F. (2005). On a system of rational difference equations. JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 11(7), 565–580. https://doi.org/10.1080/10236190412331334464

Selgrade, J. F., & Roberds, J. H. (2005). Results on asymptotic behaviour for discrete, two-patch metapopulations with density-dependent selection. JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 11(4-5), 459–476. https://doi.org/10.1080/10236190412331335508

Franke, J. E., & Selgrade, J. F. (2003). Attractors for discrete periodic dynamical systems. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 286(1), 64–79. https://doi.org/10.1016/S0022-247X(03)00417-7

Clark, D., Kulenovic, M. R. S., & Selgrade, J. F. (2003). Global asymptotic behavior of a two-dimensional difference equation modelling competition. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 52(7), 1765–1776. https://doi.org/10.1016/S0362-546X(02)00294-8

Clark, L. H., Schlosser, P. M., & Selgrade, J. F. (2003). Multiple stable periodic solutions in a model for hormonal control of the menstrual cycle. BULLETIN OF MATHEMATICAL BIOLOGY, 65(1), 157–173. https://doi.org/10.1006/bulum.2002.0326

Selgrade, J. F., & Roberds, J. H. (2001). On the structure of attractors for discrete, periodically forced systems with applications to population models. PHYSICA D, 158(1-4), 69–82. https://doi.org/10.1016/s0167-2789(01)00324-4

Schlosser, P. M., & Selgrade, J. F. (2000). A model of gonadotropin regulation during the menstrual cycle in women: Qualitative features. ENVIRONMENTAL HEALTH PERSPECTIVES, 108, 873–881. https://doi.org/10.2307/3454321

Roberds, J. H., & Selgrade, J. F. (2000). Dynamical analysis of density-dependent selection in a discrete one-island migration model. MATHEMATICAL BIOSCIENCES, 164(1), 1–15. https://doi.org/10.1016/s0025-5564(00)00002-x

Selgrade, J. F. (1998). Using stocking or harvesting to reverse period-doubling bifurcations in discrete population models. JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 4(2), 163–183. https://doi.org/10.1080/10236199808808135

Selgrade, J. F., & Roberds, J. H. (1997). Period-doubling bifurcations for systems of difference equations and applications to models in population biology. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 29(2), 185–199. https://doi.org/10.1016/S0362-546X(96)00041-7

Selgrade, J. F., & Namkoong, G. (1992). Dynamical behavior for population genetics models of differential and difference equations with nonmonotone fitnesses. Journal of Mathematical Biology, 30(8), 815.

SELGRADE, J. F., & ZIEHE, M. (1987). CONVERGENCE TO EQUILIBRIUM IN A GENETIC MODEL WITH DIFFERENTIAL VIABILITY BETWEEN THE SEXES. JOURNAL OF MATHEMATICAL BIOLOGY, 25(5), 477–490. https://doi.org/10.1007/BF00276194

Selgrade, J. F., & Namkoong, G. (1984). Dynamical behavior of differential equation models of frequency and density dependent populations. Journal of Mathematical Biology, 19(1), 133.