  Chirality is a feature of many biological systems and much research has been
focused on understanding the origin and implications of this property.
Famously, sugars and amino acids found in nature are homochiral, i.e., chiral
symmetry is broken and only one of the two possible chiral states is ever
observed. Certain types of cells show chiral behavior, too. Understanding the
origin of cellular chirality and its effect on tissues and cellular dynamics is
still an open problem and subject to much (recent) research, e.g., in the
context of drosophila morphogenesis. Here, we develop a simple model to
describe the possible origin of homochirality in cells. Combining the Vicsek
model for collective behavior with the model of Jafarpour et al., developed to
describe the emergence of molecular homochirality, we investigate how a
homochiral state might have evolved in cells from an initially symmetric state
without any mechanisms that explicitly break chiral symmetry. We investigate
the transition to homochirality and show how the "openness" of the system as
well as noise determine if and when a globally homochiral state is reached. We
discuss how our model can be applied to the evolution of traits in flocking
systems in general, or to study systems consisting of multiple interacting
species.
