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The interaction between natural selection and random mutation is frequently debated in recent years. Does similar dilemma also exist in the evolution of real networks such as biological networks? In this paper, we try to discuss this issue…

Statistical Mechanics · Physics 2009-01-07 Zhen Shao , Hai-jun Zhou

Devising optimal interventions for constraining stochastic systems is a challenging endeavour that has to confront the interplay between randomness and nonlinearity. Existing methods for identifying the necessary dynamical adjustments…

Statistical Mechanics · Physics 2022-10-18 Dimitra Maoutsa , Manfred Opper

We introduce the notion of a quasistatic dynamical system, which generalizes that of an ordinary dynamical system. Quasistatic dynamical systems are inspired by the namesake processes in thermodynamics, which are idealized processes where…

Dynamical Systems · Mathematics 2016-05-18 Neil Dobbs , Mikko Stenlund

Using linearized elasticity as a convenient mechanical framework, we show that volumetric growth can be formulated as an optimization-driven process in which the growth tensor is determined implicitly by constrained optimization rather than…

Mathematical Physics · Physics 2026-05-14 Rohan Abeyaratne , Roberto Paroni , Marco Picchi Scardaoni

Controlling an evolving population is an important task in modern molecular genetics, including directed evolution for improving the activity of molecules and enzymes, in breeding experiments in animals and in plants, and in devising public…

Populations and Evolution · Quantitative Biology 2021-03-10 Armita Nourmohammad , Ceyhun Eksin

We demonstrate the presence of chaos in stochastic simulations that are widely used to study biodiversity in nature. The investigation deals with a set of three distinct species that evolve according to the standard rules of mobility,…

Biological Physics · Physics 2017-03-28 D. Bazeia , M. B. P. N. Pereira , A. V. Brito , B. F. de Oliveira , J. G. G. S. Ramos

Optimization strategies driven by machine learning, such as Bayesian optimization, are being explored across experimental sciences as an efficient alternative to traditional design of experiment. When combined with automated laboratory…

Optimization and Control · Mathematics 2022-10-18 Riley J. Hickman , Matteo Aldeghi , Florian Häse , Alán Aspuru-Guzik

We consider a two-stage stochastic decision problem where the decision-maker has the opportunity to obtain information about the distribution of the random variables $\xi$ that appear in the problem through a set of discrete actions that we…

Optimization and Control · Mathematics 2024-07-16 Zhichao Ma , Youngdae Kim , Jeff Linderoth , James R. Luedtke , Logan R. Matthews

In this paper we analyse a differential system related to a Glioblastoma growth. Using numerical simulations, we prove that model captures different kind of growth changing adequately the parameters of the model. Firstly, we make an…

Analysis of PDEs · Mathematics 2021-09-21 A. Fernández-Romero , F. Guillén-González , A. Suárez

As demand for computational resources reaches unprecedented levels, research is expanding into the use of complex material substrates for computing. In this study, we interface with a model of a hydrodynamic system, under development by a…

Neural and Evolutionary Computing · Computer Science 2023-04-24 Alessandro Pierro , Kristine Heiney , Shamit Shrivastava , Giulia Marcucci , Stefano Nichele

In this paper, the selective predator harvesting is considered in a predator prey system. The logistic growth of prey and ratio-dependent functional response is assumed. The dynamically varying effort is employed for selective harvesting of…

Dynamical Systems · Mathematics 2022-03-24 Uganta Yadav , Sunita Gakkhar

Pattern formation has been extensively studied in the context of evolving (time-dependent) domains in recent years, with domain growth implicated in ameliorating problems of pattern robustness and selection, in addition to more realistic…

Pattern Formation and Solitons · Physics 2023-01-18 Andrew L. Krause , Eamonn A. Gaffney , Benjamin J. Walker

The goal of Feature Selection - comprising filter, wrapper, and embedded approaches - is to find the optimal feature subset for designated downstream tasks. Nevertheless, current feature selection methods are limited by: 1) the selection…

Machine Learning · Computer Science 2023-09-18 Meng Xiao , Dongjie Wang , Min Wu , Pengfei Wang , Yuanchun Zhou , Yanjie Fu

We study an optimal control problem arising from a resource allocation problem in cellular metabolism. A minimalistic model that describes the production of enzymatic vs. non-enzymatic biomass components from a single nutrient source is…

Optimization and Control · Mathematics 2017-04-10 Steffen Waldherr , Henning Lindhorst

Production systems deteriorate stochastically due to usage and may eventually break down, resulting in high maintenance costs at scheduled maintenance moments. This deterioration behavior is affected by the system's production rate. While…

Optimization and Control · Mathematics 2023-12-07 Collin Drent , Melvin Drent , Joachim Arts

Platform trials evaluate multiple experimental treatments against a common control group (and/or against each other), which often reduces the trial duration and sample size. Bayesian platform designs offer several practical advantages,…

Methodology · Statistics 2025-07-18 Luke Hagar , Lara Maleyeff , Shirin Golchi , Dick Menzies

Efficient sampling in biomolecular simulations is critical for accurately capturing the complex dynamical behaviors of biological systems. Adaptive sampling techniques aim to improve efficiency by focusing computational resources on the…

Biomolecules · Quantitative Biology 2024-10-22 Hassan Nadeem , Diwakar Shukla

Genetic and environmental perturbation experiments have been used to study microbes in a bid to gain insight into transcriptional regulation, adaptive evolution, and other cellular dynamics. These studies have potential in enabling rational…

Molecular Networks · Quantitative Biology 2017-01-11 Tolutola Oyetunde , Jeffrey Czajka , Gang Wu , Cynthia Lo , Yinjie Tang

Model-based experimental design is attracting increasing attention in chemical process engineering. Typically, an iterative procedure is pursued: an approximate model is devised, prescribed experiments are then performed and the resulting…

Optimization and Control · Mathematics 2021-01-25 Charlie Vanaret , Philipp Seufert , Jan Schwientek , Gleb Karpov , Gleb Ryzhakov , Ivan Oseledets , Norbert Asprion , Michael Bortz

Multi-stage stochastic programming is a well-established framework for sequential decision making under uncertainty by seeking policies that are fully adapted to the uncertainty. Often such flexible policies are not desirable, and the…

Optimization and Control · Mathematics 2024-08-06 Beste Basciftci , Shabbir Ahmed , Nagi Gebraeel