We prove that when a class of partial differential equations, generalized from the cable
equation, is defined on tree graphs and the inputs are restricted to a spatially discrete, well …

The cable equation describes the voltage in a straight cylindrical cable, and this model has
been employed to model electrical potential in dendrites and axons. However, sometimes …

Neuronal networks connected by electrical synapses, also referred to as gap junctions, are
present throughout the entire central nervous system. Many instances of gap-junctional …

Neurons are biological cells with uniquely complex dendritic morphologies that are not
present in other cell types. Electrical signals in a neuron with branching dendrites can be …

Understanding the neurophysiological mechanisms of information processing within and
across brain regions has always been a fundamental and challenging topic in neuroscience …

A signal-tuned approach has been recently introduced for modeling stimulus-dependent
cortical receptive fields. The approach is based on signal-tuned Gabor functions, which are …

Dendrites form the major components of neurons. They are complex branching structures
that receive and process thousands of synaptic inputs from other neurons. The impulse …

Progress towards detailed characterization of structural and biophysical properties of
dendrites emphasizes the importance of finding analytical solutions for more realistic …

Let M be a discrete‐time normal martingale satisfying some mild conditions. Then Gel'fand
triple S (M)⊂ L 2 (M)⊂ S⁎(M) can be constructed of functionals of M, where elements of S …

Neurons are the basic units in nervous systems. They transmit signals along neurites and at
synapses in electrical and chemical forms. Neuronal morphology, mainly dendritic geometry …