Clustering and spatial distribution of mitochondria in dendritic trees

TL;DR

This paper introduces a mathematical model to understand how mitochondrial distribution in neuronal dendrites is influenced by tree architecture and fusion dynamics, revealing mechanisms for balanced distribution and clustering.

Contribution

The study presents a novel mathematical framework linking dendritic tree structure and mitochondrial fusion to their spatial distribution in neurons.

Findings

Balanced trees support symmetric and distal mitochondrial distribution.

Tree architecture influences mitochondrial clustering and dispersion.

Radius-dependent fusion affects mitochondrial distribution patterns.

Abstract

Neuronal dendrites form densely branched tree architectures through which mitochondria must be distributed to supply the cell's energetic needs. Dendritic mitochondria circulate through the tree, undergoing fusion and fission to form clusters of varying sizes. We present a mathematical model for the distribution of such actively-driven particles in a branched geometry. Our model demonstrates that `balanced' trees (wherein cross-sectional area is conserved across junctions and thicker branches support more bushy subtrees) enable symmetric yet distally enriched particle distributions and promote dispersion into smaller clusters. These results highlight the importance of tree architecture and radius-dependent fusion in governing the distribution of neuronal mitochondria.