Scaling behaviour and rate-determining steps in filamentous self-assembly

Georg Meisl, Luke Rajah, Samuel I A Cohen, Manuela Pfammatter, Andela Šarić, Erik Hellstrand, Alexander K. Buell, Adriano Aguzzi, Sara Linse, Michele Vendruscolo, Christopher M Dobson, Tuomas P J Knowles

Research output: Contribution to journalArticlepeer-review

45 Citations (SciVal)


The formation of filaments from naturally occurring protein molecules is a process at the core of a range of functional and aberrant biological phenomena, such as the assembly of the cytoskeleton or the appearance of aggregates in Alzheimer's disease. The macroscopic behaviour associated with such processes is remarkably diverse, ranging from simple nucleated growth to highly cooperative processes with a well-defined lagtime. Thus, conventionally, different molecular mechanisms have been used to explain the self-assembly of different proteins. Here we show that this range of behaviour can be quantitatively captured by a single unifying Petri net that describes filamentous growth in terms of aggregate number and aggregate mass concentrations. By considering general features associated with a particular network connectivity, we are able to establish directly the rate-determining steps of the overall aggregation reaction from the system's scaling behaviour. We illustrate the power of this framework on a range of different experimental and simulated aggregating systems. The approach is general and will be applicable to any future extensions of the reaction network of filamentous self-assembly.

Original languageEnglish
Pages (from-to)7087-7097
Number of pages11
JournalChemical Science
Issue number10
Publication statusPublished - 2017

Subject classification (UKÄ)

  • Biochemistry and Molecular Biology


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