Is this system deterministic? Assuming your program runs on a machine that doesn't make mistakes, does this system always have the same outcome? And what about your other systems?
Hi, apologies for the late reply. The system is deterministic but there is also a stochastic element to the particle behaviour (if a particle is blocked a new direction is randomly selected). The system in this configuration will not have the exact same pattern evolution on every run but the type of pattern will be the same. Under different configurations (minimisation behaviours) the system does follow almost identical (but not guaranteed) evolution.
Hi. Thanks for your comment. The particles are attracted to their own synthetic 'substance' which they deposit. The substance diffuses and there is local excitation and lateral inhibition. This causes particles to aggregate but not to form into fixed clusters and the dynamic patterns arise from this.
is this model you are using based on any process really occuring in physarum? Or is it rather a mathematical simulation, where you use coupled diffusion \ inhibition \ catalytic equations? Does the flux have a (physical) feedback?
Hi, thanks for your comment. It is a particle simulation based on reaction-diffusion which is also being used to model Physarum. There is no explicit inhibition, inhibition arises from extra-local signal decay. A slight modification of this basic model is used to generate spontaneous oscillatory behaviour which, we believe, may be a suitable model for the emergence of oscillatory behaviour in the organism. Thanks again.
Is this system deterministic? Assuming your program runs on a machine that doesn't make mistakes, does this system always have the same outcome? And what about your other systems?
Rezmason 2 years ago
Hi, apologies for the late reply. The system is deterministic but there is also a stochastic element to the particle behaviour (if a particle is blocked a new direction is randomly selected). The system in this configuration will not have the exact same pattern evolution on every run but the type of pattern will be the same. Under different configurations (minimisation behaviours) the system does follow almost identical (but not guaranteed) evolution.
zeffman 2 years ago
Very amazing! What are the external influences that make the cells aggregate?
llokallamocoso 2 years ago
Hi. Thanks for your comment. The particles are attracted to their own synthetic 'substance' which they deposit. The substance diffuses and there is local excitation and lateral inhibition. This causes particles to aggregate but not to form into fixed clusters and the dynamic patterns arise from this.
zeffman 2 years ago
is this model you are using based on any process really occuring in physarum? Or is it rather a mathematical simulation, where you use coupled diffusion \ inhibition \ catalytic equations? Does the flux have a (physical) feedback?
Very nice videos!
oewhien 2 years ago
Hi, thanks for your comment. It is a particle simulation based on reaction-diffusion which is also being used to model Physarum. There is no explicit inhibition, inhibition arises from extra-local signal decay. A slight modification of this basic model is used to generate spontaneous oscillatory behaviour which, we believe, may be a suitable model for the emergence of oscillatory behaviour in the organism. Thanks again.
zeffman 2 years ago