# Trajectories of Deformable Self-Propelled Particles

Trajectories of Deformable Self-Propelled Particles

One of the simplest models for a deformable self-propelled particle based on symmetry arguments is given by the following equations:

v

2

v(t)

S

^

S

S

1

2

2

v(t)

S

1

2

Here is the velocity of the particle, is the vector of the half-axes of the particle, which is assumed to be shaped like an ellipse, and describes the deviation of the shape from a circle.

v(t)

n(t)

s(t)