Abstract
It was previously reported, that temperature may significantly influence neural dynamics on the different levels of brain function. Thus, in computational neuroscience, it would be useful to make models scalable for a wide range of various brain temperatures. However, lack of experimental data and an absence of temperature-dependent analytical models of synaptic conductance does not allow to include temperature effects at the multi-neuron modeling level. In this paper, we propose a first step to deal with this problem: A new analytical model of AMPA-type synaptic conductance, which is able to incorporate temperature effects in low-frequency stimulations. It was constructed based on Markov model description of AMPA receptor kinetics using the set of coupled ODEs. The closed-form solution for the set of differential equations was found using uncoupling assumption (introduced in the paper) with few simplifications motivated both from experimental data and from Monte Carlo simulation of synaptic transmission. The model may be used for computationally efficient and biologically accurate implementation of temperature effects on AMPA receptor conductance in large-scale neural network simulations. As a result, it may open a wide range of new possibilities for researching the influence of temperature on certain aspects of brain functioning.
Highlights
From a medical perspective, it has been suggested that tight control of brain temperature in patients, suffering during a post-traumatic period is highly recommended (Shigemori et al 2012)
These results describe the dynamics of fractions of AMPAR channels in different states (compare Fig. 5 here with Fig. 2B of Postlethwaite et al (2007)) and the time courses of AMPAR synaptic conductance at two different temperatures (compare Fig. 6 here with Fig. 1A of Postlethwaite et al (2007))
The fraction of channels in bound states is dependent on glutamate concentration at Postsynaptic Density (PSD) and rate of unbinding in the amino-3-hydroxy-5-methyl-4-isoxazolepropionic acid (AMPA) receptor kinetic scheme
Summary
It has been suggested that tight control of brain temperature in patients, suffering during a post-traumatic period is highly recommended (Shigemori et al 2012). The most important from the perspective of neural dynamics are: 1) Temperature influences membrane resting potential (Hodgkin and Huxley 1952; Buzatu 2009). 2) Temperature affects ion channels dynamics (Hille 2001; Sterratt 2015). 3) Temperature affects synaptic transmission (Asztely et al 1997; Weight and Erulkar 1976; Schiff and Somjen 1985). Temperature effects on membrane resting potentials (the Goldman-Hodgkin-Katz equation) and on ion-channel dynamics The influence of temperature on synaptic transmission has proven to be more difficult to model De Schutter et al (2009)) This may be because of the various processes involved in synaptic transmission,
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