Publications and Preprints

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• Schmidt, D.R., Lemmon, B., and Hurtado, P.J. Contagion dynamics on adaptive networks: Norovirus as a case study. (In Preparation)
  
  
• Samberg, A.J. and Schmidt, D.R. (2024) An integrate-and-fire mathematical model of sleep-wake neuronal networks in the developing mammal. PLoS One 19(10): e0307851. (Accepted 7/2024) [doi:10.1371/journal.pone.0307851]
  
  
• Schmidt, D.R. (2024) Stochastic models in biology. In Association for Women in Mathematics Book Series: Research Connections - Career and Research Journeys from the SMP Community. Ed, A. Brisbin, K. Lange, E. McNicholas. Springer, p.167-195. (Invited book chapter, Accepted 9/2023, In Press)
  
  
• Freed, J. and Schmidt, D.R. (2023). Using Markov chains to outline probability of alcohol dependence in alcoholics. Nevada State Undergraduate Research Journal 8(1): 85-105. (Accepted 12/22)
  
  
• Camacho, E.T., Dobreva, A., Larripa, K., Radulescu, A., Schmidt, D.R., and Trejo, I. (2022). Insights into pathological mechanisms and interventions revealed by analyzing a mathematical model for cone metabolism. Bioscience Reports 42 (3): BSR20212457. (Accepted 2/22) [doi:10.1042/BSR20212457]
  
  
• Sheets, C., Schmidt, D.R., Hurtado, P.J., Byrne, A.Q., Rosenblum, E.B., Richards-Zawacki, C.L., and Voyles, J. (2021) Thermal Performance Curves of Multiple Isolates of Batrachochytrium dendrobatidis, a Lethal Pathogen of Amphibians. Frontiers in Veterinary Science 8: 648. (Accepted 5/2021) [doi:10.3389/fvets.2021.687084] - Supplementary Material written by Schmidt and Hurtado, 30 pages.
  
  
• Olmez, F., Kramer, P.R., Fricks, J., Schmidt, D.R., and Best, J. (2021). Penalized KS method to fit data sets with power law distribution over a bounded subinterval. Journal of Statistical Computation and Simulation 91: 8, 1524-1563. (Accepted 12/2020, Published Online 1/2021) [doi:10.1080/00949655.2020.1861281]
  
  
• Camacho, E., Dobreva, A., Larripa, K., Radulescu, A., Schmidt, D., and Trejo, I. (2021) (Alphabetical, equal authorship). Mathematical modeling of retinal degeneration: Aerobic glycolysis in a single cone. In Association for Women in Mathematics Series: Using Mathematics to Understand Biological Complexity - From Cells to Populations. Ed, R. Segal, B. Shtylla, and S. Sindi. Springer, p.135-178. (Accepted 7/2020, Published Online 12/2020) [Link]
  
  
• Schmidt, D.R. (2020) Network structure and dynamics of biological systems. In Foundations for Undergraduate Research in Mathematics: An Introduction to Undergraduate Research in Computational and Mathematical Biology. Ed, H. Callender Highlander, A. Capaldi, C. Diaz Eaton. Springer, p.299-351. (Accepted 7/2019, Published 2/2020) [Link]
  
  
• Clark, D.A., Odell, S.R., Armstrong, J.M., Turcotte, M., Kohler, D., Mathis, A., Schmidt, D.R., and Mathew, D. (2018) Behavior responses to chemical stimuli in Drosophila larvae. Frontiers in Behavioral Neuroscience 12: 324. (Accepted 12/2018) [doi:10.3389/fnbeh.2018.00324]
  
  
• Schmidt, D.R., Galan, R.F. and Thomas, P.J. (2018) Stochastic shielding and edge importance for Markov chains with timescale separation. PLoS Computational Biology 14(6): e1006206. (Accepted 5/2018) [doi:10.1371/journal.pcbi.1006206]
  
  
• Schmidt, D.R. (2018) Balancing an academic career in mathematics with motherhood and life's other passions. Journal of Humanistic Mathematics 8(2): 281-291. (Accepted 3/2018) [Link]
  
  
• Arnold, R.A. and Schmidt, D.R. (2017) Changes in the coefficients of Zipf's law for English corpora of different contexts. Nevada State Undergraduate Research Journal 3(1): 14-25. (Accepted 4/2017) [PDF] [doi:10.15629/6.7.8.7.5_3-1_S-2017-1]
  
  
• Schmidt, D.R. and Thomas, P.J. (2014) Measuring edge importance: a quantitative analysis of the stochastic shielding approximation for random processes on graphs. Journal of Mathematical Neuroscience 4(6):1-52. [doi:10.1186/2190-8567-4-6] [arXiv PDF]
  
  
• Grima, R., Schmidt, D.R. and Newman, T.J. (2012) Steady-state fluctuations of a genetic feedback loop: an exact solution. Journal of Chemical Physics 137: 035104. [doi:10.1063/1.4736721] [arXiv PDF]
  
  
• Gay, V.L.*, Hemond, P.J.*, Schmidt, D.*, O'Boyle, M.P., Hemond, Z., Best, J., O'Farrell, L.* and Suter, K.J.* (2012) Hormone secretion in transgenetic rats and electrophysiological activity in their gonadotropin releasing-hormone (GnRH) neurons. American Journal of Physiology - Endocrinology and Metabolism 303: E243-E252. [doi:10.1152/ajpendo.00157.2012]
  * These authors contributed equally
  
  
• Schmidt, D., Best, J. and Blumberg, M.S. (2011) Random graph and stochastic process contributions to network dynamics. Discrete and Continuous Dynamical Systems, Suppl 2011 2: 1279-1288. [PDF]
  
  
• Durrett, R., Schmidt, D. and Schweinsberg, J. (2009) A waiting time problem arising from the study of multi-stage carcinogenesis. Annals of Applied Probability 19: 676-718. [PDF]
  
  
• Durrett, R. and Schmidt, D. (2009) Reply to Michael Behe. Genetics 181: 821-822. [doi:10.1534/genetics.109.100800] [PDF]
  
  
• Durrett, R. and Schmidt, D. (2008) Waiting for two mutations: with applications to regulatory sequence evolution and the limits of Darwinian evolution. Genetics 180: 1501-1509. [doi:10.1534/genetics.107.082610] [PDF]
  
  
• Schmidt, D. (2007) A mathematical look at DNA regulatory sequence evolution. Ph.D. Thesis, Cornell University. [PDF of abstract]
  
  
• Durrett, R. and Schmidt, D. (2007) Waiting for regulatory sequences to appear. Annals of Applied Probability 17: 1-32. [PDF]
  
  
• Schmidt, D. and Durrett, R. (2004) Adaptive evolution drives the diversification of zinc-finger binding domains. Molecular Biology and Evolution 21: 2326-2339. [doi:10.1093/molbev/msh246]
  
  
• Schmidt, D., Hurtado, P.J., Jensen, S. and Sparacino, A. (2007) The evolution of the human ABO blood group system: a mathematical model. (Preprint) [PDF of abstract]
  
  
• Schmidt, D. and Pool, J. (2002) The effect of population history on the distribution of the Tajima's D statistic. (Preprint) [PDF] [Tables and Figures]
  
  
• IMA grad student workshop report (2004): Data to Knowledge in Pharmaceutical Research. [PDF]
  
  
• Mathematical and Theoretical Biology Institute (2000) Technical Report BU-1527-M: Predicting the consequences of large-scale antibiotic misuse. [PDF]
  

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