Exercise 4 - Modeling and Simulating Biological Neural Networks Flashcards
Goal of neuroscience
the ultimate goal of neural science is to understand how the flow of electrical signals through neural circuits gives rise to mind - to how we perceive, act, think, learn, and remember
computational neuroscience
mathematical tools and theories are used to investigate brain function.
Main components of a neuron
- Soma: cell body containing the nucleus
- Dendrites: receive electrical impulses from other neurons through synapses
- Axon: emerges from the soma at the axon hillock and conducts electrical impulses to other neurons.
polarity of a neuron meaning
number of axons and dendrites
Into what can neurons be classified by their functionality?
sensory neurons, interneurons, and motor neurons
resting membrane potential meaning
- in the idle state of the neuron, the sum of the different ion flows between the inside and the outside of the neuron results in an equilibrium state
steps in action potential
- depolarization: positive charge flows into the neuron and membrane potential increases
- action potential: membrane voltage quickly increases to a peak, the action potential
- hyperpolarization: membrane voltage falls back below the resting state
two phases of refactory period
- absolute refactory period: neuron cannot emit any spike
- relative refactory period: eliciting an action potential requires strong stimuli
Two different models propagating action potentials
- Electrotonic conductance (short distance, fast)
- active regeneration of action potentials (long distance, slow)
how to enhance neural signal transmission?
saltatory conduction of myelinated segments
4 properties of an action potential
threshold
all-or-none event
propagation (propagation over long distances through self-regeneration)
refractory period
types of synapses
electrical
chemical with synaptic cleft
How are the cells in the brain called?
glial cells have a supporting function
Two types of glial cells
Microglia: part of immune system
Macroglia: formation of myelin sheath around axons
detailed compartmental models
capture the detailed neuron morphology based on anatomical reconstructions
reduced compartmental models
- comprised of only a few dendritic compartments
single-compartment model
- completely ignores the morphology of the neuron.
cascade model
purely functional models that only represent abstract computations and no biological detail
black-box models
consider the neuron as an input/output system
McCulloch-Pitts Model
- first computational neuron model
- inspired by the all-or-none property of biological neurons.
- if no inhibitory synapse is active and the sum of active excitatory synapses crosses a threshold, the output of the neuron is 1
What was developed after the McCulloch-Pitts model?
The general analog neuron model. The simple McCulloch-Pitts model was generalized by adding synaptic weights and an activation function
A(w1x1… + b)
Common activation functions
Binary step function logistic function tanh ReLu ELU = exponential linear unit Gaussian
what are analog neuron models not able to reproduce?
temporal dynamics of biological neurons.
How do spiking neuron models represent biological neurons?
- cell membrane as capacitor
- flows of ions are electrical currents
- ion channels = resistor
different types of spinking neurons
regular spikes instrinsically bursting chattering fast spiking thalamo-cortical low-threshold spiking
Hodgkin-Huxley Model
- model contains a single compartment
- represents electrical properties
- computationally complex
Difference between Hodgkin-Huxley Model and Leaky Integrate-and-Fire model?
Leaky Integrate-and-Fire Model is a phenomenological neuron model that captures the overall behavior of a biological neuron but does not show the underlying dynamics.
AdEx Model
- Extension of the Leaky Integrate-and-Fire model and combines it with the Hodgkin-Huxley model to produce biologically realistic firing patterns.
Types of encoding in spike trains
- rate encoding = averaged spike rate within a certain time window
- time-to-first spike coding = information is encoded in the time of emission of the first spike after a reference point.
- coding by synchrony or correlation: population codes are based on the activity patterns of a group of neurons: information is encoded as the averaged overall activity of the population.
Model in spiking neurons vs. analog neurons
dynamical system, activation function
Communication in spiking neurons vs. analog neurons
Digital spikes, analog values
encoding of information in spiking neurons vs. analog neurons
rate, time-to-first spike, synchrony ; real numbers
computational complexity in spiking neurons vs. analog neurons
high, low
biological plausibility in spiking neurons vs. analog neurons
high, low