REU Page
With Scott Stevens
Senior Lecturer, UVM Mathematics

• • • Differential Equations and Simple Intracranial Pressure (ICP) Models
      This provides a whole year of study for a student fresh out of Calculus I with a presentable/publishable outcome.

• desmos folder of examples

• REU-DiffEq1.nb  (Scott's Your Turn Version) 

• REU-DiffEq2.nb

• REU-DiffEq2-DirectionField.nb

• Valsalva Simulation FA26.nb

These links will lead to the submission requirements. 

• IEEE Transactions on Biomedical Engineering (I think we could do this). 

• Journal or Neurosurgery (an equally lofty goal)

• Neurological Research (a safe bet)

• Any Mathematical Modeling or Biological Mathematics journal (a safe bet)

• A handful of Stevens publications. 

• Original Marmarou 1978 ICP model: Marmarou, A., Shulman, K., & Rosende, R. M. (1978). A nonlinear analysis of the cerebrospinal fluid system and intracranial pressure dynamics. Journal of Neurosurgery, 48(3), 332–344. https://doi.org/10.3171/jns.1978.48.3.0332  (scanned pdf copy here)

• MIT: Flows and Bifurcations in One Dimension  (a nice introduction to bifurcations in first-order autonomous differential equations. 

• Hudson River Undergraduate Mathematics Conference (HRUMC) - every April

• Scott Stevens

• Jeffrey Jewell

• Joey Trail

• Allie Curtis

• Ben Memmott