Abstract

Dendritic spines change their size and shape spontaneously, but the function of this remains unclear. Here, we address this in a biophysical model of spine fluctuations, which reproduces experimentally measured spine fluctuations. For this, we characterize size- and shape fluctuations from confocal microscopy image sequences using autoregressive models and a new set of shape descriptors derived from circular statistics. Using the biophysical model, we extrapolate into longer temporal intervals and find the presence of 1/f noise. When investigating its origins, the model predicts that the actin dynamics underlying shape fluctuations self-organizes into a critical state, which creates a fine balance between static actin filaments and free monomers. In a comparison against a non-critical model, we show that this state facilitates spine enlargement, which happens after LTP induction. Thus, ongoing spine shape fluctuations might be necessary to react quickly to plasticity events.

Highlights

  • Dendritic spines change their size and shape spontaneously, but the function of this remains unclear

  • The model allows us to predict spine characteristics for periods of time that exceed those currently accessible experimentally. Analyzing such long time intervals, we find that the spine fluctuations exhibit 1/f noise, which can be explained by the actin polymerization dynamics that occurs in bursts (“avalanches”) from specific polymerization foci

  • To investigate the influence of actin dynamics on the spine shape fluctuations, we adapted and extended our previously published m­ odel[14], in which asymmetric shape fluctuations emerge from an imbalance between an expanding force generated by actin polymerization and a force generated by the lipid membrane, that counteracts shape deformations (Fig. 1b)

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Summary

Introduction

Dendritic spines change their size and shape spontaneously, but the function of this remains unclear. Bonilla-Quintana et al.[14] proposed an actin based model that mimics rapid spine motility of around 100 ms To date it remains unclear whether these rapid shape fluctuations have a possible function and, if they have, which function they ­fulfill[15]. We use a biologically realistic theoretical model to study rapid, spontaneous shape fluctuations of dendritic spines generated by the dynamics of actin, observed by Fisher et al.[2] and o­ thers[3,4,5]. The model allows us to predict spine characteristics for periods of time that exceed those currently accessible experimentally Analyzing such long time intervals, we find that the spine fluctuations exhibit 1/f noise, which can be explained by the actin polymerization dynamics that occurs in bursts (“avalanches”) from specific polymerization foci. The model further predicts that these polymerization dynamics self-organizes into

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