This proceedings paper is the first in a series of three papers developing mathematical
models for the complex relationship between pain and the sleep–wake cycle. Here, we briefly …

Primary processing of painful stimulation occurs in the dorsal horn of the spinal cord. In this
article, we introduce mathematical models of the neural circuitry in the dorsal horn …

Synchronized neuronal activity has been shown to contribute to cognitive processes such
as learning, attention, and memory formation. Electric coupling through sites called gap …

Experimental studies show that human pain sensitivity varies across the 24-hour day, with
the lowest sensitivity usually occurring during the afternoon. Patients suffering from …

… In this study, we use the model introduced by Crodelle et al. [12,13] as a platform to numerically
simulate the population activity of projection, inhibitory, and excitatory neurons in the DH …

Introduction Mathematical modeling has played a significant role in understanding how
homeostatic sleep pressure and the circadian rhythm interact to influence sleep-wake behavior. …

Recent experiments in the developing mammalian visual cortex have revealed that gap
junctions couple excitatory cells and potentially influence the formation of chemical synapses. In …

The existence of electrical communication among pyramidal cells (PCs) in the adult cortex
has been debated by neuroscientists for several decades. Gap junctions (GJs) among cortical …

Recent experiments in the developing mammalian visual cortex have revealed that gap
junctions couple excitatory cells and potentially influence the formation of chemical synapses. …

Spiking neural networks are widely applied to simulate cortical dynamics in the brain and
are regarded as the next generation of machine learning. The classical Hodgkin–Huxley (HH) …