Basic Theoretical Research in the Mathematical & Natural Sciences
THE REUVENI GROUP
July 8, 2020
New Paper: Ribosome Composition Maximizes Cellular Growth Rates in E. coli
We show that the composition of the ribosome, the cell’s protein-synthesis machinery, is tuned to optimize the cell’s reproduction rate. A previously unrecognized growth law, and an invariant of bacterial growth, also follow from our analysis. Quantitative predictions from the growth law and invariant are shown to be in excellent agreement with E. coli data despite having no fitting parameters. Our analysis can be readily extended to other bacteria once data become available.
October 28, 2019
New Paper: Invariants of Motion with Stochastic Resetting and Space-Time Coupled Returns
Motion under stochastic resetting serves to model a myriad of processes in physics and beyond, but in most cases studied to date resetting was assumed to take zero time or a time decoupled from the spatial position at the resetting moment. However, in our world, getting from one place to another always takes time; and places that are further away take more time to be reached. We extend the theory to account for this inherent spatio-temporal coupling and discover key invariants of motion with stochastic resetting and space-time coupled returns.
June 17, 2020
New Paper: Diffusion with resetting in a logarithmic potential
We study the effect of resetting on diffusion in a logarithmic potential which arises an effective potential in a large variety of problems in chemical, statistical, and biological physics. We show that this analytically tractable model system exhibits a series of transitions as a function of a single parameter: the ratio between the strength of the potential and the thermal energy. Specifically, we show that as the latter ratio exceeds the value of five, resetting can no longer expedite first-passage to the origin.
October 8, 2019
New Paper: Occupancy Correlations in the Asymmetric Simple Inclusion Process
The asymmetric simple inclusion process (ASIP) is a lattice-gas model for unidirectional transport with irreversible aggregation. To date, the analytical tractability of the model has been rather limited: while the average particle density is easy to compute, very little is known about the joint occupancy distribution. To partially bridge this gap, we study occupancy correlations in the ASIP. An exact formula for the covariance matrix of the occupancy vector at the steady-state is derived and corroborated against numerical simulations.
December 16, 2019
New Paper: Constant gradient FEXSY: A time-efficient method for measuring exchange
Filter-Exchange NMR Spectroscopy (FEXSY) allows for non-invasive estimation of water exchange rates across membranes in biological tissues. We develop CG-FEXSY, a time-efficient constant-gradient variant of FEXSY. FEXSY and CG-FEXSY are then compared experimentally on a yeast cells sample and a fixed optic nerve. The methods are shown to be in agreement. Thus, CG-FEXSY can provide the same information in a significantly shorter scan time.
October 7, 2019
New Paper: Time-Dependent Density of Diffusion with Stochastic Resetting is Invariant to Return Speed
The canonical Evans-Majumdar model for diffusion with stochastic resetting assumes that resetting takes zero time: upon resetting the diffusing particle is teleported back to the origin to start its motion anew. We consider a situation where the particle returns to the origin at a finite (rather than infinite) speed. This creates a coupling between the particle's random position at the moment of resetting and its return time. However, whether returns are slow or fast, we always find that the time-dependent distribution of the particle's position is identical to that obtained for instantaneous returns.