TY - JOUR
T1 - A non-local model of the propagation of action potentials in myelinated neurons
AU - Drapaca, Corina S.
AU - Ozdemir, Sahin
AU - Proctor, Elizabeth A.
N1 - Publisher Copyright:
© 2020 by the authors. Licensee ESJ, Italy.
PY - 2020/6
Y1 - 2020/6
N2 - Myelinated neurons are characterized by the presence of myelin, a multilaminated wrapping around the axons formed by specialized neuroglial cells. Myelin acts as an electrical insulator and therefore, in myelinated neurons, the action potentials do not propagate within the axons but happen only at the nodes of Ranvier which are gaps in the axonal myelination. Recent advancements in brain science have shown that the shapes, timings, and propagation speeds of these so-called saltatory action potentials are controlled by various biochemical interactions among neurons, glial cells and the extracellular space. Given the complexity of brain’s structure and processes, the work hypothesis made in this paper is that non-local effects are involved in the optimal propagation of action potentials. A non-local model of the action potentials propagation in myelinated neurons is proposed that involves spatial derivatives of fractional order. The effects of non-locality on the distribution of the membrane potential are investigated using numerical simulations.
AB - Myelinated neurons are characterized by the presence of myelin, a multilaminated wrapping around the axons formed by specialized neuroglial cells. Myelin acts as an electrical insulator and therefore, in myelinated neurons, the action potentials do not propagate within the axons but happen only at the nodes of Ranvier which are gaps in the axonal myelination. Recent advancements in brain science have shown that the shapes, timings, and propagation speeds of these so-called saltatory action potentials are controlled by various biochemical interactions among neurons, glial cells and the extracellular space. Given the complexity of brain’s structure and processes, the work hypothesis made in this paper is that non-local effects are involved in the optimal propagation of action potentials. A non-local model of the action potentials propagation in myelinated neurons is proposed that involves spatial derivatives of fractional order. The effects of non-locality on the distribution of the membrane potential are investigated using numerical simulations.
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U2 - 10.28991/esj-2020-01219
DO - 10.28991/esj-2020-01219
M3 - Article
AN - SCOPUS:85090755243
SN - 2610-9182
VL - 4
SP - 148
EP - 164
JO - Emerging Science Journal
JF - Emerging Science Journal
IS - 3
ER -