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Biological complexity facilitates tuning of the neuronal parameter space
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Abstract
The electrical and computational properties of neurons in our brains are determined by a rich repertoire of membrane-spanning ion channels and elaborate dendritic trees. However, the precise reason for this inherent complexity remains unknown. Here, we generated large stochastic populations of biophysically realistic hippocampal granule cell models comparing those with all 15 ion channels to their reduced but functional counterparts containing only 5 ion channels. Strikingly, valid parameter combinations in the full models were more frequent and more stable in the face of perturbations to channel expression levels. Scaling up the numbers of ion channels artificially in the reduced models recovered these advantages confirming the key contribution of the actual number of ion channel types. We conclude that the diversity of ion channels gives a neuron greater flexibility and robustness to achieve target excitability.
Significance statement
Over the course of billions of years, evolution has led to a wide variety of biological systems. The emergence of the more complex among these seems surprising in the light of the high demands of searching for viable solutions in a correspondingly high-dimensional parameter space. In realistic neuron models with their inherently complex ion channel composition, we find a surprisingly large number of viable solutions when selecting parameters randomly. This effect is strongly reduced in models with fewer ion channel types but is recovered when inserting additional artificial ion channels. Because concepts from probability theory provide a plausible explanation for this improved distribution of valid model parameters, we propose that this may generalise to evolutionary selection in other complex biological systems.
In brief
Studying ion channel diversity in neuronal models we show how robust biological systems may evolve not despite but because of their complexity.
Highlights
15 channel model of hippocampal granule cells (GCs) reduces to 5 ion channels without loss of spiking behaviour.
But knocking out ion channels can be compensated only in the full model.
Random sampling leads to ~ 6% solutions in full but only ~ 1% in reduced model.
Law of large numbers generalises our observations to other complex biological systems.
Title: Biological complexity facilitates tuning of the neuronal parameter space
Description:
Abstract
The electrical and computational properties of neurons in our brains are determined by a rich repertoire of membrane-spanning ion channels and elaborate dendritic trees.
However, the precise reason for this inherent complexity remains unknown.
Here, we generated large stochastic populations of biophysically realistic hippocampal granule cell models comparing those with all 15 ion channels to their reduced but functional counterparts containing only 5 ion channels.
Strikingly, valid parameter combinations in the full models were more frequent and more stable in the face of perturbations to channel expression levels.
Scaling up the numbers of ion channels artificially in the reduced models recovered these advantages confirming the key contribution of the actual number of ion channel types.
We conclude that the diversity of ion channels gives a neuron greater flexibility and robustness to achieve target excitability.
Significance statement
Over the course of billions of years, evolution has led to a wide variety of biological systems.
The emergence of the more complex among these seems surprising in the light of the high demands of searching for viable solutions in a correspondingly high-dimensional parameter space.
In realistic neuron models with their inherently complex ion channel composition, we find a surprisingly large number of viable solutions when selecting parameters randomly.
This effect is strongly reduced in models with fewer ion channel types but is recovered when inserting additional artificial ion channels.
Because concepts from probability theory provide a plausible explanation for this improved distribution of valid model parameters, we propose that this may generalise to evolutionary selection in other complex biological systems.
In brief
Studying ion channel diversity in neuronal models we show how robust biological systems may evolve not despite but because of their complexity.
Highlights
15 channel model of hippocampal granule cells (GCs) reduces to 5 ion channels without loss of spiking behaviour.
But knocking out ion channels can be compensated only in the full model.
Random sampling leads to ~ 6% solutions in full but only ~ 1% in reduced model.
Law of large numbers generalises our observations to other complex biological systems.
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