64 citations · 137 across the 10 of their papers we have counts for
10 papers
Non-Monotone Response Modules and Cascades from the EML Operator for Reduced Models of Biological Dynamics
Amir Erez
Standard saturating response functions, such as the Hill function, are monotone and therefore cannot represent recruitment-induced overshoot or adaptive transients with a single bl…
Mathematical modeling and intuition in microbiology: a perspective
Jamie A. Lopez, Amir Erez
Mathematical models are increasingly a part of microbiological research. Here, we share our perspective on how modeling advances the discipline by: (i) enforcing logical consistenc…
Flexibility in noisy cell-to-cell information dynamics
Ismail Qunbar, Michael Vennettilli, Amir Erez
Exchange of molecules allows cells to exchange information. How robust is the information to changes in cell parameters? We use a mapping between the stochastic dynamics of two cel…
Enzyme regulation and mutation in a model serial dilution ecosystem
Amir Erez, Jaime G. Lopez, Yigal Meir +1
Microbial communities are ubiquitous in nature and come in a multitude of forms, ranging from communities dominated by a handful of species to communities containing a wide variety…
Multicellular sensing at a feedback-induced critical point
Michael Vennettilli, Amir Erez, Andrew Mugler
Feedback in sensory biochemical networks can give rise to bifurcations in cells' behavioral response. These bifurcations share many properties with thermodynamic critical points. E…
Cell-to-cell information at a feedback-induced bifurcation point
Amir Erez, Tommy A. Byrd, Michael Vennettilli +1
A ubiquitous way that cells share information is by exchanging molecules. Yet, the fundamental ways that this information exchange is influenced by intracellular dynamics remain un…
Biochemical feedback and its application to immune cells II: dynamics and critical slowing down
Tommy A. Byrd, Amir Erez, Robert M. Vogel +4
Near a bifurcation point, the response time of a system is expected to diverge due to the phenomenon of critical slowing down. We investigate critical slowing down in well-mixed st…
Nutrient levels and trade-offs control diversity in a serial dilution ecosystem
Amir Erez, Jaime G. Lopez, Benjamin Weiner +2
Microbial communities feature an immense diversity of species and this diversity is linked with outcomes ranging from ecosystem stability to medical prognoses. Yet the mechanisms u…
The effect of amplitude fluctuations on the BKT transition
Amir Erez, Yigal Meir
The Berezinskii-Kosterlitz-Thouless (BKT) transition is a generic transition describing the loss of coherence in two dimensional systems, and has been invoked, for example, to desc…
How to measure the spatial correlations in disordered Berezinski-Kosterlitz-Thouless transition ?
Amir Erez, Yigal Meir
The Berezinski-Kosterlitz-Thouless transition is a unique two dimensional phase transition, separating two phases with exponentially and power-law decaying correlations, respective…