לוח שנה משולב

Aging is characterized by several quantitative regularities: mortality and disease incidence rise exponentially with age, organ function declines linearly, and species with very different lifespans exhibit similarly shaped survival curves. I will present recent developments that unify these quantitative phenomena within the framework of the Saturating Removal (SR) model. The SR model is a biologically motivated stochastic differential equation that describes aging as a damage accumulation process with linearly increasing production with time and saturating removal, with death and disease modeled as first-passage-time processes. I will discuss the statistical properties of the model, including how the exponential mortality increase emerges from a Kramers escape rate over a barrier. I will then present recent results showing how the model organizes aging across species into two distinct aging regimes- ballistic and quasi steady state. Comparing the model to human data, indicates that late-life survival and the extreme-value tail of exceptionally long-lived individuals constrain damage production and removal parameters in human populations. This model can help prioritize longevity interventions. I will discuss future directions and open questions. FOR THE LATEST UPDATES AND CONTENT ON SOFT MATTER AND BIOLOGICAL PHYSICS AT THE WEIZMANN, VISIT OUR WEBSITE: https://www.bio

The dimension of the space of Specht polynomials is n!/e to the nearest integer. I will explain how the search for a combinatorial reason behind this unexpected formula leads to a web of ideas involving Markov models, semigroups, partial representations, exact complexes, and covering problems for distributions on permutations.