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Neuronal growth and the Steiner problem.

S Traverso¹, R Morchio, G Tamone

¹Dipartimento di Fisica dell'Università, Genova, Italy.

Rivista Di Biologia

|January 1, 1992

Summary

Neuronal networks may develop via an optimization principle, potentially minimizing growth costs. This process, possibly involving factors like Nerve Growth Factor, could lead to fractal structures in developing neurons.

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Area of Science:

Neuroscience
Developmental Biology
Biophysics

Background:

Neuronal development is a complex process.
Understanding the underlying principles of neuronal growth is crucial.

Purpose of the Study:

To propose an optimality principle governing neuronal network development.
To explore the role of optimization in neuronal outgrowth and structure formation.

Main Methods:

Viewing neuronal outgrowth as a solution to the Steiner Problem.
Analyzing the cost minimization based on viscoelastic properties.
Discussing the influence of chemiotactic factors like Nerve Growth Factor (NGF).
Applying mathematical arguments to fractal structure formation.

Main Results:

Neuronal outgrowth in culture can be modeled as solving the Steiner Problem.
Minimizing cytoplasmic viscoelastic cost may drive neuronal growth.
Chemiotactic factors like NGF play a role in optimized in vivo development.
Optimization of elastic forces may result in fractal neuronal structures.

Conclusions:

Neuronal development may follow an optimization principle.
The Steiner Problem and cost minimization offer a framework for understanding neuronal growth.
Fractal structures may arise from optimized elastic forces during neuronal development.

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