3 papers
q-bio.NC2026
Stochastic Dynamics of Large-Scale Motif-Embedded Spiking Neuronal Networks
Gurpreet Jagdev, Richard Bertram, Na Yu
We examine how local motif structure and global network topology jointly shape spiking dynamics in stochastic neuronal networks. Using networks of Izhikevich neurons with Erdős-Rén…
q-bio.NC2026
Stochastic dynamics and synchronization in motif-based neuronal networks
Gurpreet Jagdev, Yifei Lu, Richard Bertram +1
Neuronal networks exhibit complex dynamics shaped by connectivity and stochastic input. Empirical studies show that neuronal networks contain recurring subgraphs, or motifs, but th…
math.DS2025
Dynamic homeostasis in relaxation and bursting oscillations
Christopher J. Ryzowicz, Richard Bertram, Bhargav R. Karamched
Homeostasis, broadly speaking, refers to the maintenance of a stable internal state when faced with external stimuli. Failure to manage these regulatory processes can lead to diffe…