Abstract We study the Stochastic Thermodynamics of cell growth and division using a theoretical framework based on branching processes with resetting. Cell may be split into two sub-processes: branching, by which given gives birth to an identical copy itself, resetting, some properties daughter cells (such as their size or age) are reset new values following division. derive first second laws fo...

Stochastic processes offer a fundamentally different paradigm of dynamics than deterministic processes, the most prominent example latter being Newton's laws motion. Here, we discuss in pedagogical manner simple and illustrative stochastic form particle undergoing standard Brownian diffusion, with additional feature resetting repeatedly at random times to its initial condition. Over years, many...

Many real-time applications enable RESET to account for all kinds of unexpected problems, or to accommodate for a users’ want of restarting. Additionally, some software testing techniques must allow for resetting timed-Implementations Under Test (t-IUT). Dedicated internal logic is probably the most common of solutions for accomplishing such tasks. There are situations, however, where such a pr...

In this paper, we introduce and study systematically, in terms of phase response curves, the effect of dual-pulse excitation on the dynamics of an autonomous oscillator. Specifically, we test the deviations from linear summation of phase advances resulting from two small perturbations. We analytically derive a correction term, which generally appears for oscillators whose intrinsic dimensionali...

Stochastic resetting, a diffusive process whose amplitude is "reset" to the origin at random times, vividly studied strategy optimize encounter dynamics, e.g., in chemical reactions. We here generalize resetting step by introducing amplitude, such that diffusing particle may be only partially reset towards trajectory origin, or even overshoot step. introduce different scenarios for random-ampli...

It has been proposed that the error-related negativity (ERN) is generated by phase resetting of theta-band EEG oscillations. The present research evaluates a set of analysis methods that have recently been used to provide evidence for this hypothesis. To evaluate these methods, we apply each of them to two simulated data sets: one set that includes theta phase resetting and a second that compri...

Humans generate bipedal walking by cooperatively manipulating their complicated and redundant musculoskeletal systems and produce adaptive behaviors in diverse environments. To elucidate the mechanisms in generating adaptive human bipedal locomotion, we conduct numerical simulations based on the musculoskeletal model and locomotor controller constructed from the anatomical and physiological fin...