Neuronal Network of a Human Brain

Compute and visualize neuronal connectivity across different brain regions

The amygdala plays key roles in emotional processing, memory and recognition.

Locate the amygdala in the brain:

In[1]:=

amygdala

ANATOMICAL STRUCTURE

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regional location highlighted image

viewleft

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Find its neuronal output:

In[2]:=

amygdala

ANATOMICAL STRUCTURE

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neuronal output

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lateral hypothalamic region

locus ceruleus

prefrontal cortex

central amygdaloid nucleus

medial preoptic nucleus

ventral tegmental area

nucleus subceruleus

lateral parabrachial nucleus

medial parabrachial nucleus

solitary tract nuclear complex

premotor cortex

central gray substance of midbrain

dorsal nucleus of vagus nerve

subparabrachial nucleus

cunieform nucleus

anterior hypothalamic region

orbital cortex

primary motor cortex

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Visualize the neuronal network involving the amygdala as a graph:

In[3]:=

ag=NestGraphCasesEntityValue#,

neuronal output

,_Entity&,

amygdala

ANATOMICAL STRUCTURE

,GraphHighlight

amygdala

ANATOMICAL STRUCTURE

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Feedback is one of the key features of the information transmission in the brain network. Highlight the loop in the graph:

In[4]:=

cycle=FindCycle[ag,Infinity,All];

In[5]:=

HighlightGraph[ag,cycle,GraphHighlightStyle"DehighlightFade"]

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Find the amygdala-prefrontal cortex circuit, which plays an essential role in modulating responses to emotional experiences:

In[6]:=

circuit=FindCycleag,

prefrontal cortex

ANATOMICAL STRUCTURE

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prefrontal cortex

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amygdala

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anterior hypothalamic region

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central gray substance of midbrain

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solitary tract nuclear complex

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central amygdaloid nucleus

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ventral tegmental area

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prefrontal cortex

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In[7]:=

HighlightGraph[ag,Join[circuit,VertexList[Graph[First@circuit]]],GraphHighlightStyle"Thick"]

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Signals from the brain reach the spinal cord to excite motor responses. Find the minimum-cost flow in the circuit:

In[8]:=

f=FindMinimumCostFlowag,

amygdala

ANATOMICAL STRUCTURE

spinal cord

ANATOMICAL STRUCTURE

,"OptimumFlowData"

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OptimumFlowData

Flow value: 0

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In[9]:=

f["FlowGraph"]

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Contributed by: Wolfram Staff

Neuronal Network of a Human Brain

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