1  Introduction

1.1 First subsection

References: Scholl et al. (2022) showed that XXX (Vitay, 2017).

Cross-references: See Figure 1.1, Equation 1.1, Listing 1.1, Section 1.2 and Chapter 4.

Figure 1.1: Afferent system to VTA. (Vitay, 2017)

Equations:

\tau \, \frac{dx_j(t)}{dt} + x_j(t)= \sum_i w^{in}_{ij} \, r^{in}_i(t) + g \, \sum_{i \neq j} w^{rec}_{ij} \, r_i(t) \tag{1.1}

1.2 Second subsection

Admonitions:

Nota Bene

Important information.

Code snippets:

Listing 1.1: Simple EI network in ANNarchy.

import numpy as np
import ANNarchy as ann

P = ann.Population(geometry=1000, neuron=ann.Izhikevich)
E = P[:800] ; I = P[800:]

EI = ann.Projection(pre=E, post=P, target='exc')
EI.connect_all_to_all(weights=ann.Uniform(0.0, 0.5))
   
IE = ann.Projection(pre=I, post=P, target='inh')
IE.connect_all_to_all(weights=ann.Uniform(0.0, 1.0))

ann.compile()

ann.simulate(1000.0, measure_time=True)

Scholl, C., Baladron, J., Vitay, J., and Hamker, F. H. (2022). Enhanced habit formation in Tourette patients explained by shortcut modulation in a hierarchical cortico-basal ganglia model. Brain Structure and Function. doi:10.1007/s00429-021-02446-x.

Vitay, J. (2017). On the role of dopamine in motivated behavior: A neuro-computational approach. Available at: https://julien-vitay.net/publication/vitay2017/.