Biology is about structure. Structures within structures. Organs within animals, tissues within
organs, cells within tissues, and molecules, often proteins within cells. The structures are so …

Electrical signaling is a fast mode of communication for cells within an organism. We are
concerned here with the formulation and analysis of mathematical models that are used to …

Recent technological advances have enabled the recording of neurons in intact circuits with
a high spatial and temporal resolution, creating the need for modeling with the same …

The current–voltage (I–V) conversion characterizes the physiology of cellular microdomains
and reflects cellular communication, excitability, and electrical transduction. Yet deriving …

This work is concerned with the stationary Poisson‐Nernst‐Planck equation with a large
parameter which describes a huge number of ions occupying an electrolytic region. First, we …

During learning, neurons in the brain are remodelled in both their structure and function in
ways that can dramatically shape how they process incoming information and compute an …