Mathematics professor Zeynep Teymuroglu recently co-authored an article in Mathematical Biosciences, a scientific journal focused on new concepts and new understanding of biological systems by using theoretical and applied mathematics.
Entitled “Spatially localized cluster solutions in inhibitory neural networks,” the article proves the existence of cluster solutions, where neurons that are spatially close together are also synchronized in the same cluster, and finds stability conditions for these solutions. Understanding synchronization of neuronal activity advances our knowledge of brain disorders.
Teymuroglu’s research on clustering of inhibitory neurons has been supported by the American Institute of Mathematics’ Structured Quartet Research Ensemble (SQuaRE) grant. The American Institute of Mathematics seeks to advance mathematical knowledge through collaboration, to broaden participation in the mathematical endeavor, and to increase the awareness of the contributions of the mathematical sciences to society.