Interplay of activation kinetics and the derivative conductance determines resonance properties of neurons

Author(s)

Pena, Rodrigo F. O. ; Ceballos, Cesar C. ; Lima, Vinicius ; Roque, Antonio C.

• Document type: Journal article
• Source: PHYSICAL REVIEW E; v. 97, n. 4, p. 10-pg., 2018-04-10.

Abstract

In a neuron with hyperpolarization activated current (I-h), the correct input frequency leads to an enhancement of the output response. This behavior is known as resonance and is well described by the neuronal impedance. In a simple neuron model we derive equations for the neuron's resonance and we link its frequency and existence with the biophysical properties of I-h. For a small voltage change, the component of the ratio of current change to voltage change (dI/dV) due to the voltage-dependent conductance change (dg/dV) is known as derivative conductance (G(h)(Der)). We show that both G(h)(Der) and the current activation kinetics (characterized by the activation time constant tau(h)) are mainly responsible for controlling the frequency and existence of resonance. The increment of both factors (G(h)(Der) and tau(h)) greatly contributes to the appearance of resonance. We also demonstrate that resonance is voltage dependent due to the voltage dependence of G(h)(Der). Our results have important implications and can be used to predict and explain resonance properties of neurons with the I-h current. (AU)

• FAPESP's process: 17/05874-0 - Models of neural networks with stochastic neurons and different topologies: construction and analysis
• Grantee: Vinícius Lima Cordeiro
• Support Opportunities: Scholarships in Brazil - Master
• FAPESP's process: 13/07699-0 - Research, Innovation and Dissemination Center for Neuromathematics - NeuroMat
• Grantee: Oswaldo Baffa Filho
• Support Opportunities: Research Grants - Research, Innovation and Dissemination Centers - RIDC
• FAPESP's process: 15/50122-0 - Dynamic phenomena in complex networks: basics and applications
• Grantee: Elbert Einstein Nehrer Macau
• Support Opportunities: Research Projects - Thematic Grants
• FAPESP's process: 13/25667-8 - Mechanisms of propagation of epileptiform activity in a large-scale cortical model
• Grantee: Rodrigo Felipe de Oliveira Pena
• Support Opportunities: Scholarships in Brazil - Doctorate (Direct)