I am an Assistant Professor of Mathematics at Middlebury College in VT. I typically work on problems in mathematical neuroscience, with a particular focus on using models and simulation to uncover plausible mechanisms underlying interesting biologically-observed phenomena. I have also worked on problems in epidemiology, criminal justice, and chronic pain.
I earned my B.S. in applied mathematics (2012) from Marist College , a small
liberal arts school in my hometown of Poughkeepsie, NY. From there, I went for my Ph.D. in mathematics (2017) at Rensselaer Polytechnic Institute under the advisement of Gregor Kovacic (RPI) and David Cai (NYU). After that, I had an NSF Postdoctoral Fellowship at the Courant Institute at NYU where I worked with David McLaughlin on modeling the developing visual cortex. See the Research Interests page for more details on my research interests.
I enjoy talking about my research, sharing ideas, and learning new mathematical techniques. When I’m not doing math, or talking about math, I enjoy hiking with my
dog Gale, exploring new areas, and trying new food and restaurants.
- J.M. Epstein, E. Hatna, and J. Crodelle. Triple contagion: a two-fears epidemic model. Journal Royal Society Interface, 18(181):20210186 (2021). [DOI]
- J. Crodelle and David W. McLaughlin. Modeling the role of gap junctions between excitatory neurons in the developing visual cortex. PLOS Computational Biology, 17(7):e1007915 (2021). [DOI]
- J. Crodelle, C. Vallejo, M. Schmidtchen, C. Topaz, and M.R. D’Orsogna . Impacts of California Proposition 47 on crime trends in Santa Monica, CA, PLOS One, 16(5): e0251199 (2021). [DOI]
- J. Crodelle and P. Maia. A Computational model for pain processing in the dorsal horn following axonal damage to receptor fibers, Brain Sciences, 11(4):505 (2021). [DOI]
- J. Crodelle, D. Zhou, G. Kovacic, and D. Cai. A computational model of electrotonic coupling between pyramidal cells in the cortex, Journal of Computational Neuroscience, 48(4):387–407, (2020). [DOI][PDF]
- Z.K. Tian, J. Crodelle, and D. Zhou. A combined offline-online algorithm for Hodgkin-Huxley neural networks. Journal of Scientific Computing 84(1):10 (2020). [DOI] [PDF]
- J. Crodelle, K.A. Newhall, P.B. Pyzza, and G. Kovačič. Coarse-grained Descriptions of Oscillations in Neuronal Network Models. Communications in Mathematical Sciences
17(5):1437-1458, (2019). [DOI] [PDF]
- J. Crodelle, M. Hagenauer, S. Piltz, and V. Booth. Modeling the daily rhythm of human pain processing in the dorsal horn. PLOS Computational Biology 15(7): e1007106, (2019). [DOI] [PDF]
- J. Crodelle, D. Zhou, G. Kovačič, D. Cai. A role for electrotonic coupling between cortical pyramidal cells, Frontiers in Computational Neuroscience, 13:33, (2019). [DOI]
- Z.Q. Xu, J. Crodelle , D. Zhou, D. Cai. Maximum Entropy Principle Analysis in Network Systems with Short-time Recordings, Physical Review E, 10.1103/PhysRevE.99.022409, (2019). [DOI] [PDF]
- J. Crodelle, M. Hagenauer, S. Piltz, and V. Booth. Investigating Circadian Rhythmicity in Pain Sensitivity Using a Neural Circuit Model for Spinal Cord Processing of Pain. Proceedings of A Research Collaboration Workshop for Women in Mathematical Biology , Springer, (2016). [DOI] [PDF]
- M.Hagenauer, J. Crodelle, S. Piltz, N. Toporikova, P. Ferguson, and V. Booth. The Modulation of Pain by Circadian and Sleep-Dependent Processes: A Review of the Experimental Evidence. Proceedings of A Research Collaboration Workshop for Women in Mathematical Biology, Springer, (2016). [DOI] [PDF]
The role of electrotonic junctions between pyramidal cells in the cortex. PhD Thesis in Mathematics, Rensselaer Polytechnic Institute, (2017). [PDF]