1 Introduction: Neuronal, Cortical, and Network foundations |
|
1 | |
|
1.1 Introduction and overview |
|
|
1 | |
|
|
3 | |
|
1.3 Synaptic modification |
|
|
4 | |
|
1.4 Long-term potentiation and long-term depression |
|
|
5 | |
|
|
10 | |
|
1.6 Action potential dynamics |
|
|
11 | |
|
1.7 Systems-level analysis of brain function |
|
|
12 | |
|
1.8 The fine structure of the cerebral neocortex |
|
|
17 | |
|
1.8.1 The fine structure and connectivity of the neocortex |
|
|
17 | |
|
1.8.2 Excitatory cells and connections |
|
|
17 | |
|
1.8.3 Inhibitory cells and connections |
|
|
19 | |
|
1.8.4 Quantitative aspects of cortical architecture |
|
|
21 | |
|
1.8.5 Functional pathways through the cortical layers |
|
|
23 | |
|
1.8.6 The scale of lateral excitatory and inhibitory effects, and the concept of modules |
|
|
25 | |
|
1.9 Backprojections in the cortex |
|
|
26 | |
|
|
26 | |
|
|
28 | |
|
|
29 | |
|
1.9.4 Backprojections, attractor networks, and constraint satisfaction |
|
|
30 | |
|
1.10 Autoassociation or attractor memory |
|
|
30 | |
|
1.10.1 Architecture and operation |
|
|
32 | |
|
1.10.2 Introduction to the analysis of the operation of autoassociation networks |
|
|
33 | |
|
|
35 | |
|
1.10.4 Use of autoassociation networks in the brain |
|
|
39 | |
|
1.11 Noise, and the sparse distributed representations found in the brain |
|
|
40 | |
|
|
41 | |
|
1.11.2 Advantages of different types of coding |
|
|
42 | |
|
1.11.3 Firing rate distributions and sparseness |
|
|
43 | |
|
1.11.4 Information theoretic understanding of neuronal representations |
|
|
57 | |
2 Stochastic neurodynamics |
|
65 | |
|
|
65 | |
|
2.2 Network dynamics: the integrate-and-fire approach |
|
|
65 | |
|
2.2.1 From discrete to continuous time |
|
|
66 | |
|
2.2.2 Continuous dynamics with discontinuities: integrate-and-fire neuronal networks |
|
|
67 | |
|
2.2.3 An integrate-and-fire implementation with NMDA receptors and dynamical synapses |
|
|
71 | |
|
2.3 Attractor networks, energy landscapes, and stochastic dynamics |
|
|
73 | |
|
2.4 Reasons why the brain is inherently noisy and stochastic |
|
|
78 | |
|
2.5 Brain dynamics with and without stochasticity: an introduction to mean-field theory |
|
|
80 | |
|
2.6 Network dynamics: the mean-field approach |
|
|
81 | |
|
2.7 Mean-field based theory |
|
|
82 | |
|
2.7.1 Population activity |
|
|
83 | |
|
2.7.2 The mean-field approach used in the model of decision-making |
|
|
85 | |
|
2.7.3 The model parameters used in the mean-field analyses of decision-making |
|
|
87 | |
|
2.7.4 Mean-field neurodynamics used to analyze competition and cooperation between networks |
|
|
88 | |
|
2.7.5 A consistent mean-field and integrate-and-fire approach |
|
|
88 | |
3 Short-term memory and stochastic dynamics |
|
91 | |
|
|
91 | |
|
3.2 Cortical short-term memory systems and attractor networks |
|
|
91 | |
|
3.3 Prefrontal cortex short-term memory networks, and their relation to perceptual networks |
|
|
94 | |
|
3.4 Computational necessity for a separate, prefrontal cortex, short-term memory system |
|
|
98 | |
|
3.5 Synaptic modification is needed to set up but not to reuse short-term memory systems |
|
|
98 | |
|
3.6 What, where, and objectplace combination short-term memory in the prefrontal cortex |
|
|
99 | |
|
3.7 Hierarchically organized series of attractor networks |
|
|
100 | |
|
3.8 Stochastic dynamics and the stability of short-term memory |
|
|
102 | |
|
3.8.1 Analysis of the stability of short-term memory |
|
|
103 | |
|
3.8.2 Stability and noise in the model of short-term memory |
|
|
104 | |
|
3.8.3 Alterations of stability |
|
|
106 | |
|
3.9 Memory for the order of items in short-term memory |
|
|
114 | |
|
3.10 Stochastic dynamics and long-term memory |
|
|
120 | |
4 Attention and stochastic dynamics |
|
121 | |
|
|
121 | |
|
4.2 Biased competitionsingle neuron studies |
|
|
121 | |
|
4.3 A basic computational module for biased competition |
|
|
126 | |
|
4.4 The neuronal and biophysical mechanisms of attention |
|
|
128 | |
|
4.5 Stochastic dynamics and attention |
|
|
132 | |
|
4.6 Disengagement of attention, and neglect |
|
|
135 | |
|
4.7 Decreased stability of attention produced by alterations in synaptically activated ion channels |
|
|
135 | |
|
4.8 Increased stability of attention produced by alterations in synaptically activated ion channels |
|
|
137 | |
5 Probabilistic decision-making |
|
139 | |
|
|
139 | |
|
5.2 Decision-making in an attractor network |
|
|
140 | |
|
5.3 The neuronal data underlying a vibrotactile discrimination task |
|
|
141 | |
|
5.4 Theoretical framework: a probabilistic attractor network |
|
|
144 | |
|
5.5 Stationary multistability analysis: mean-field |
|
|
146 | |
|
5.6 Non-stationary probabilistic analysis: spiking dynamics |
|
|
149 | |
|
5.6.1 Integrate-and-fire simulations of decision-making |
|
|
149 | |
|
5.6.2 Decision-making on a single trial |
|
|
149 | |
|
5.6.3 The probabilistic nature of the decision-making |
|
|
151 | |
|
5.6.4 Probabilistic decision-making and Webers law |
|
|
153 | |
|
|
156 | |
|
5.6.6 Finite-size noise effects |
|
|
157 | |
|
5.7 Properties of this model of decision-making |
|
|
159 | |
|
5.7.1 Comparison with other models of decision-making |
|
|
159 | |
|
5.7.2 Integration of evidence by the attractor network, escaping time, and reaction times |
|
|
160 | |
|
5.7.3 Distributed decision-making |
|
|
161 | |
|
|
162 | |
|
5.7.5 Unifying principles |
|
|
163 | |
|
5.8 A multistable system with noise |
|
|
164 | |
6 Confidence and decision-making |
|
167 | |
|
6.1 The model of decision-making |
|
|
168 | |
|
6.2 Neuronal responses on difficult vs easy trials, and decision confidence |
|
|
171 | |
|
6.3 Reaction times of the neuronal responses |
|
|
174 | |
|
|
175 | |
|
6.5 Simulation of fMRI signals: haemodynamic convolution of synaptic activity |
|
|
175 | |
|
6.6 Prediction of the BOLD signals on difficult vs easy decision-making trials |
|
|
177 | |
|
6.7 Neuroimaging investigations of task difficulty, and confidence |
|
|
180 | |
|
6.7.1 Olfactory pleasantness decision task |
|
|
180 | |
|
6.7.2 Temperature pleasantness decision task |
|
|
181 | |
|
|
182 | |
|
6.7.4 Brain areas with activations related to easiness and confidence |
|
|
182 | |
|
6.8 Correct decisions vs errors, and confidence |
|
|
185 | |
|
6.8.1 Operation of the attractor network model on correct vs error trials |
|
|
185 | |
|
6.8.2 Predictions of fMRI BOLD signals from the model |
|
|
189 | |
|
6.8.3 fMRI BOLD signals that are larger on correct than error trials |
|
|
190 | |
|
6.8.4 fMRI signals linearly related to choice easiness with correct vs incorrect choices |
|
|
191 | |
|
6.8.5 Evaluation of the model: a basis for understanding brain processes and confidence for correct vs incorrect decisions |
|
|
193 | |
|
6.9 Decisions based on confidence in one's decisions: self-monitoring |
|
|
196 | |
|
6.9.1 Decisions about confidence estimates |
|
|
196 | |
|
6.9.2 A theory for decisions about confidence estimates |
|
|
196 | |
|
6.9.3 Decisions about confidence estimates: neurophysiological evidence |
|
|
203 | |
|
6.9.4 Decisions about decisions: self-monitoring |
|
|
206 | |
|
6.10 Synthesis: decision confidence, noise, neuronal activity, the BOLD signal, and self-monitoring |
|
|
207 | |
|
6.10.1 Why there are larger BOLD signals for easy vs difficult decisions |
|
|
207 | |
|
6.10.2 Validation of BOLD signal magnitude related to the easiness of a decision as a signature of neural decision-making |
|
|
207 | |
|
6.10.3 Predictions of neuronal activity during decision-making |
|
|
208 | |
|
6.10.4 Multiple types of decision are made, each in its own brain region |
|
|
208 | |
|
6.10.5 The encoding of decision confidence in the brain |
|
|
209 | |
|
6.10.6 Self-monitoring: correction of previous decisions |
|
|
211 | |
7 Perceptual detection and stochastic dynamics |
|
213 | |
|
|
213 | |
|
7.2 Psychophysics and neurophysiology of perceptual detection |
|
|
213 | |
|
7.3 Computational models of probabilistic signal detection |
|
|
215 | |
|
|
217 | |
|
|
218 | |
8 Applications of this stochastic dynamical theory to brain function |
|
219 | |
|
|
219 | |
|
|
219 | |
|
8.3 Decision-making with multiple alternatives |
|
|
219 | |
|
8.4 Perceptual decision-making and rivalry |
|
|
220 | |
|
|
221 | |
|
|
222 | |
|
8.7 The evolutionary utility of probabilistic choice |
|
|
222 | |
|
8.8 Selection between conscious vs unconscious decision-making, and free will |
|
|
223 | |
|
|
224 | |
|
8.10 Unpredictable behaviour |
|
|
224 | |
|
|
225 | |
|
8.12 Multiple decision-making systems in the brain |
|
|
226 | |
|
8.13 Stochastic noise, attractor dynamics, and aging |
|
|
226 | |
|
8.13.1 NMDA receptor hypofunction |
|
|
227 | |
|
|
229 | |
|
8.13.3 Impaired synaptic modification |
|
|
230 | |
|
8.13.4 Cholinergic function |
|
|
230 | |
|
8.14 Stochastic noise, attractor dynamics, and schizophrenia |
|
|
235 | |
|
|
235 | |
|
8.14.2 A dynamical systems hypothesis of the symptoms of schizophrenia |
|
|
236 | |
|
8.14.3 The depth of the basins of attraction: mean-field flow analysis |
|
|
237 | |
|
8.14.4 Decreased stability produced by reductions of NMDA receptor activated synaptic conductances |
|
|
238 | |
|
8.14.5 Increased distractibility produced by reductions of NMDA receptor activated synaptic conductances |
|
|
239 | |
|
8.14.6 Signal-to-noise ratio in schizophrenia |
|
|
239 | |
|
8.14.7 Synthesis: network instability and schizophrenia |
|
|
240 | |
|
8.15 Stochastic noise, attractor dynamics, and obsessive-compulsive disorder |
|
|
244 | |
|
|
244 | |
|
8.15.2 A hypothesis about obsessive-compulsive disorder |
|
|
245 | |
|
8.15.3 Glutamate and increased depth of the basins of attraction of attractor networks |
|
|
247 | |
|
8.15.4 Synthesis on obsessive-compulsive disorder |
|
|
249 | |
|
8.16 Predicting a decision before the evidence is applied |
|
|
251 | |
|
8.17 Decision-making between interacting individuals |
|
|
253 | |
|
8.18 Unifying principles of cortical design |
|
|
253 | |
|
|
257 | |
A Mean-field analyses, and stochastic dynamics |
|
261 | |
|
A.1 The Integrate-and-Fire model |
|
|
261 | |
|
A.2 The population density approach |
|
|
262 | |
|
A.3 The diffusion approximation |
|
|
263 | |
|
|
265 | |
|
A.5 Introducing noise into a mean-field theory |
|
|
267 | |
|
A.6 Effective reduced rate-models of spiking networks: a data-driven FokkerPlanck approach |
|
|
268 | |
|
A.6.1 A reduced rate-model of spiking networks |
|
|
268 | |
|
A.6.2 One-dimensional rate model |
|
|
271 | |
References |
|
277 | |
Index |
|
300 | |
B Colour Plates |
|
303 | |