Our research specialty area is mathematical modeling with unique applications of topology and universal algebra to cognitive structures and dynamics. We have unique expertise in developing mathematical interpretations that clearly define psychological and social phenomena for analysis and problem solving.
Among our Research Services are:
- Framing Research Problems
- Concept Development and Methods to approach and solve Research Problems.
- Developing interdisciplinary groups to solve interdisciplinary problems
Research History:
Mathematical Psychology Twelve years of experience modeling cognitive and social structures and dynamics. We apply topology, universal algebra, and category theory to define and analyze cognitive and social structures and dynamics. See [Publications]
Mathematical Electrophysiology Nineteen years of experience modeling ion channel dynamics for excitable tissue at the molecular level. Studying techniques for using first principles in physics and chemistry to model ion flow through the cell membrane that involve the electrostatic effects of key amino acids found in the ion channel. See [Publications]
Modeling and Simulation, Multiphase Fluid Flows, 2010 – 2012 Co-PI, Department of Energy Grant, NUCLEAR ENERGY UNIVERSITY PROGRAMS (NE-UP): UNIVERSITY RESEARCH AND DEVELOPMENT, NE-UP R&D RFP 1, Battelle Energy Alliance, LLC (BEA): Collaborative research project between BMCC, SUNY Stony Brook, and Oak Ridge National Laboratory.
Modeling Regenerative Nerve Growth, 2005 Summer Research Associate, Laboratory for Neurological Biomaterials and Therapeutics, Georgia Institute of Technology, Atlanta, GA. I contributed to the study and modeling of regeneration of neural tissue in negative regions of the peripheral and central nervous system.
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