# On dynamics of excitation in F-actin: automaton model

## TL;DR

This paper models F-actin filaments as automata with nodes in three states, analyzing their dynamic behavior, limit cycles, and information storage capacity to understand excitation propagation.

## Contribution

It introduces a novel automaton model of F-actin, exploring excitation rules, dynamic patterns, and information storage mechanisms in filamentous actin.

## Key findings

- Distribution of transient periods analyzed
- Limit cycle formation mechanisms proposed
- Density of information storage evaluated

## Abstract

We represent a filamentous actin molecule as a graph of finite-state machines (F-actin automaton). Each node in the graph takes three states --- resting, excited, refractory. All nodes update their states simultaneously and by the same rule, in discrete time steps. Two rules are considered: threshold rule --- a resting node is excited if it has at least one excited neighbour and narrow excitation interval rule --- a resting node is excited if it has exactly one excited neighbour. We analyse distributions of transient periods and lengths of limit cycles in evolution of F-actin automaton, propose mechanisms for formation of limit cycles and evaluate density of information storage in F-actin automata.