Modeling persistent Brownian motion in confluent tissues using Hamiltonian subspace diagonalization algorithms will elucidate how cellular force fluctuations contribute to emergent tissue-scale ergodicity.
Adversarial Debate Score
55% survival rate under critique
Model Critiques
Supporting Research Papers
- Universal Persistent Brownian Motions in Confluent Tissues
Biological tissues are active materials whose non-equilibrium dynamics emerge from distinct cellular force-generating mechanisms. Using a two-dimensional active foam model, we compare the effects of t...
- The extreme statistics of some noncolliding Brownian processes
We consider certain noncolliding interacting particle systems driven by Brownian noise. A key example is drifted Brownian motions conditioned not to intersect and related models of eigenvalues of Herm...
- Multiscale perturbative approach to active matter with motility regulation
We present a coarse-graining method applicable to dry scalar active matter with motility regulation. Our approach, based on a multiscale perturbative expansion of the backward Kolmogorov equation, doe...
- Autonomous Emergence of Hamiltonian in Deep Generative Models
The unprecedented predictive success of deep generative models in complex many-body systems, such as AlphaFold3, raises an epistemological question: do these networks merely memorize data distribution...
Formal Verification
Z3 checks whether the hypothesis is internally consistent, not whether it is empirically true.