Current Work:  Suitable for Undergraduate or Graduate Participation.

• A Proposed Non-Invasive Procedure for the Treatment of Migraine and IIH

• Mathematica notebook that runs the IEEE model  (below) with a Valsalva forcing (above):  Valsalva_Simulation.nb

• A Single Steady-State Equation for Migraine and IIH Dynamics with a Collapsible Sinus. 

• My Math Colloquium Talk, October 2025. 

Prior Work:  Journal Name: Title (# of citations)

• Journal of Neurosurgery: A mathematical model of IIH incorporating increased arterial inflow and variable venous outflow collapsibility (102 citations). 

• IEEE Transactions on Biomedical Engineering:  A Model for Idiopathic Intracranial Hypertension and Associated Pathological ICP Wave-Forms (32 citations)

• Neurological Research:  A modeling study of idiopathic intracranial hypertension: Etiology and diagnosis (23 citations)

• Aviation Space and Environmental Medicine: Modeling Intracranial Pressures in Microgravity: The Influence of the Blood-Brain Barrier (54 citations)

• Mathematical Medicine and Biology: Idiopathic intracranial hypertension and transverse sinus stenosis: A modelling study (42 citations)

• Aviation Space and Environmental Medicine: Modeling steady-state intracranial pressures in supine, head-down tilt and microgravity conditions (30 citations)

• Journal of Mathematical Biology: A whole-body mathematical model for intracranial pressure dynamics (72 citations). 

• Mathematical and Computer Modelling of Dynamical Systems: A mathematical model of the systemic circulatory system with logistically defined nervous system regulatory mechanisms (5 citations - patented model)

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