Estimation Files

Estimation of a temperature-dependent neural mass model from experimental data

Effect of <i>Q</i>_{10,<i>syn</i>}.

<p>As <i>Q</i>_{10,<i>syn</i>} is increased from unity, frequency of epileptic discharges during cooling (60 s–120 s) becomes less until complete termination. (From top to bottom: <i>Q</i>_{10,<i>syn</i>} = 1.0, 1.007, 1.013, 1.085.)</p

Response functions and the effect of Q₁₀.

<p>Different populations of neurons have different post-synaptic impulse response (solid lines, left) but are assumed to have the same firing response (solid line, right). <i>Q</i>_{10,<i>syn</i>} scales down the post-synaptic impulse response curves (broken lines, left) while <i>Q</i>_{10,<i>int</i>} changes the properties of the firing response curve (broken line, right).</p

Bifurcation with respect to <i>Q</i>_{10,<i>int</i>} at different temperature and <i>Q</i>_{10,<i>syn</i>} values.

<p>Region of bistability with respect to <i>Q</i>_{10,<i>int</i>} vanishes at higher cooling temperatures (left). Similar bifurcation pattern is also observed at arbitrary <i>Q</i>_{10,<i>syn</i>} values with T = 15°C (right). The colorbars indicate discharge magnitude in arbitrary units.</p

Bifurcation with respect to <i>Q</i>_{10,<i>int</i>}.

<p>With <i>Q</i>_{10,<i>syn</i>} = 1.8, magnitude and frequency of discharges exhibit bifurcation behavior with respect to <i>Q</i>_{10,<i>int</i>} at different cooling temperatures. (From left to right: T = 15°C, 20°C, 25°C.)</p

Estimated values of the parameters for the model of discharge activity before cooling.

<p>Estimated values of the parameters for the model of discharge activity before cooling.</p

Estimated values of Q₁₀ factors from three different models.

<p>Estimated values of Q₁₀ factors from three different models.</p

Comparison of models.

<p>Boxplot of MAPE of different models from experimental data. (*<i>p</i> < 0.01, Wilcoxon signed rank test)</p

Simulated activity from rat 4.

<p>Suppression of epileptic discharges is replicated by the different models. (From top to bottom: Experimental data, SYN_INT, EXC_INH, EXC_SIN_FIN)</p

Neural mass model by Wendling et al.

<p>Block diagram of the model showing the interconnections among the neural populations (left) and the processes involved for each population (right).</p