4 papers
The Origins of Transient Bimodality
Kaan Ãcal, Augustinas Sukys, Aanjaneya Kumar +1
Many dynamical systems exhibit diverse modes of behavior. In biology, such modes can represent individual or cell fates. While the emergence of multimodality is commonly studied, t…
Branching under First-Passage Resetting
Aanjaneya Kumar, James Holehouse
Many biological processes, from cell division to viral lysis, are triggered when an internal stochastic variable reaches a threshold. Here we introduce Branching under First-Passag…
Dynamic redundancy and mortality in stochastic search
Samantha Linn, Aanjaneya Kumar
Search processes are a fundamental part of natural and artificial systems. In such settings, the number of searchers is rarely constant: new agents may be recruited while others ca…
Chase-escape with conversion as a multiple sclerosis lesion model
Emma Bailey, Erin Beckman, Saraà Hernández-Torres +8
We introduce conversion to the stochastic process known as chase-escape in an effort to model aspects of inflammatory damage from multiple sclerosis. We prove monotonicity results…