Edward Dougherty

Dr. Edward Dougherty
Edward Dougherty, Ph.D.Assistant Professor of Mathematics

Contact Information

(401)254.3306edougherty@rwu.eduMNS 242

Areas of Expertise

Biomathematics, Computational Mathematics, Numerical Methods, Mathematical Modeling and Simulation

Education

B.S. Syracuse University
M.S. Tufts University
Ph.D. Virginia Tech

General Research Interests:
Mathematical Modeling and Simulation in Biomedicine
Computational Mathematics and Numerical Methods
Computational Systems Biology

Current Projects and Application Areas:
Neurostimulation treatment efficacy
Multiscale models and simulations of neurotherapeutics
Mathematical analysis of intra-cellular signaling pathways related to movement disorders

Grants:
RI-INBRE SURF Training Award for research project titled: "Models of Dopaminergic Neuron Response to Neurostimulation Treatments for Parkinson's Disease" 2018

Current Research Students:
 

Undergraduate Research in the News:
A Mathematical Solution for Medicine’s Unanswered Questions

Professional Associations:
SIAM
Society for Mathematical Biology

Selected Publications:

Rand, T. A., Richmond, C. E., & Dougherty, E. T. (2020) Modeling the combined impacts of host plant resistance and biological control on the population dynamics of a major pest of wheat. Pest Management Science, doi: 10.1002/ps.5830

Dougherty, E. T., Turner, J. C., & Vogel, F. (2020) A computational investigation of preconditioning strategies and iterative methods for finite element based neurostimulation simulationsComputers & Mathematics with Applications, doi: 10.1016/j.camwa.2020.02.021

Small, A. T., & Dougherty, E. T. (2019) Mathematical Modeling of Neurostimulation for Post-traumatic Stress Disorder: A Migration Towards Multiscale Modeling to Assess Neural Response to Transcranial Direct Current Stimulation Treatments. 2019 41st Annual International Conference of the IEEE Engineering in Medicine and Biology Society (EMBS), Berlin, Germany, 2019: 2340-2343

Lindberg, K. R., & Dougherty, E.T. (2019) Location Specificity of Transcranial Electrical Stimulation on Neuronal Electrodynamics: A Mathematical Model of Ion Channel Gating Dynamics and Ionic Flux due to Neurostimulation. Frontiers in Computational Neuroscience, 13(17). doi: 10.3389/fncom.2019.00017

Halligan, A., Becotte, A., Crane, A., & Dougherty, E. (2018) A Mathematical Model for the Effects of Fertilization on Nitrogen Concentrations in Unsaturated Soil on Blueberry Farms in Southern New Jersey. Environ Model Assess, 23: 583-595

Rand, T. A., Richmond, C. E., & Dougherty, E. T. (2017) Using matrix population models to inform biological control management of the wheat stem sawfly, Cephus cinctus. Biological Control, 109: 27-36

Dougherty, E. (2016). Efficient Implicit Runge-Kutta Methods for Fast-Responding Ligand-Gated Neuroreceptor Kinetic Models. BIOMATH, 4(2015): 1512311.

Dougherty, E. and Turner, J. (2016) An Object-Oriented Framework for Versatile Finite Element Based Simulations of Neurostimulation. Journal of Computational Medicine. Vol. 2016: article ID 9826596

Dougherty, E., Turner, J., and Vogel, F. (2014) Multiscale Coupling of Transcranial Direct Current Stimulation to Neuron Electrodynamics: Modeling the Influence of the Transcranial Electric Field on Neuronal Depolarization. Computational and Mathematical Methods in Medicine. vol 2014: article ID 360179

Mondal, D., Dougherty, E., Mukhopadhyay, A., Carbo, A., Yao, G., and Xing, J. (2014) Systematic Reverse Engineering of Network Topologies: A Case Study of Resettable Bistable Cellular Responses. PLoS ONE 9(8): e105833

Jin, F., Dougherty, E., Saraf, P., Cao, Y., and Ramakrishnan, N. (2013). Epidemiological Modeling of News and Rumors on Twitter. Proceedings of the 7th Workshop on Social Network Mining and Analysis. Article 8