REU Calendar - Updated Weekly
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.
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)
Hudson River Undergraduate Mathematics Conference (HRUMC) - every April
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)