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Neural Cellular Automata (NCA) represent a powerful framework for modeling biological self-organization, extending classical rule-based systems with trainable, differentiable (or evolvable) update rules that capture the adaptive…

Artificial Intelligence · Computer Science 2025-09-16 Benedikt Hartl , Michael Levin , Léo Pio-Lopez

Stochastic optimization finds a wide range of applications in operations research and management science. However, existing stochastic optimization techniques usually require the information of random samples (e.g., demands in the…

Optimization and Control · Mathematics 2019-04-18 Xi Chen , Qihang Lin , Zizhuo Wang

High-throughput experimental techniques and bioinformatics tools make it possible to obtain reconstructions of the metabolism of microbial species. Combined with mathematical frameworks such as flux balance analysis, which assumes that…

Battery powered transmitters face energy constraint, replenishing their energy by a renewable energy source (like solar or wind power) can lead to longer lifetime. We consider here the problem of finding the optimal power allocation under…

Systems and Control · Computer Science 2011-10-12 Abhinav Sinha , Prasanna Chaporkar

We discuss the population dynamics with selection and random diffusion, keeping the total population constant, in a fitness landscape associated with Constraint Satisfaction, a paradigm for difficult optimization problems. We obtain a phase…

Populations and Evolution · Quantitative Biology 2016-11-23 Tommaso Brotto , Guy Bunin , Jorge Kurchan

In any ecosystem, the conditions of the environment and the characteristics of the species that inhabit it are entangled, co-evolving in space and time. We introduce a model that couples active agents with a dynamic environment, interpreted…

Populations and Evolution · Quantitative Biology 2025-12-10 G. Briozzo , G. J. Sibona , F. Peruani

The metabolic network plays a crucial role in regulating bacterial metabolism and growth, but it is subject to inherent molecular stochasticity. Previous studies have utilized flux balance analysis and the maximum entropy method to predict…

Molecular Networks · Quantitative Biology 2024-01-12 Shaohua Guan , Zhichao Zhang , Zihan Zhang , Hualin Shi

A dynamical system entrains to a periodic input if its state converges globally to an attractor with the same period. In particular, for a constant input the state converges to a unique equilibrium point for any initial condition. We…

Optimization and Control · Mathematics 2020-06-30 M. Ali Al-Radhawi , Michael Margaliot , Eduardo Sontag

A system of renewal equations on a graph provides a framework to describe the exploitation of a biological resource. In this context, we formulate an optimal control problem, prove the existence of an optimal control and ensure that the…

Analysis of PDEs · Mathematics 2017-03-09 Rinaldo M. Colombo , Mauro Garavello

Reinforcement learning is a powerful learning paradigm in which agents can learn to maximize sparse and delayed reward signals. Although RL has had many impressive successes in complex domains, learning can take hours, days, or even years…

Machine Learning · Computer Science 2020-11-04 Paniz Behboudian , Yash Satsangi , Matthew E. Taylor , Anna Harutyunyan , Michael Bowling

Constraint-based flux balance analysis (FBA) has proven successful in predicting the flux distribution of metabolic networks in diverse environmental conditions. FBA finds one of the alternate optimal solutions that maximizes the biomass…

Molecular Networks · Quantitative Biology 2009-05-19 Areejit Samal

An automated resource analysis technique is introduced, targeting a Call-By-Push-Value abstract machine, with memory prediction as a practical goal. The machine has a polymorphic and linear type system enhanced with a first-order logical…

Logic in Computer Science · Computer Science 2023-10-24 Hector Suzanne , Emmanuel Chailloux

We study the optimal control of storage which is used for both arbitrage and buffering against unexpected events, with particular applications to the control of energy systems in a stochastic and typically time-heterogeneous environment.…

Optimization and Control · Mathematics 2015-09-22 James Cruise , Stan Zachary

Bat Algorithm (BA) is a nature-inspired metaheuristic search algorithm designed to efficiently explore complex problem spaces and find near-optimal solutions. The algorithm is inspired by the echolocation behavior of bats, which acts as a…

Neural and Evolutionary Computing · Computer Science 2024-07-23 Shahla U. Umar , Tarik A. Rashid , Aram M. Ahmed , Bryar A. Hassan , Mohammed Rashad Baker

In this paper, a stochastic approximation (SA) based distributed algorithm is proposed to solve the resource allocation (RA) with uncertainties. In this problem, a group of agents cooperatively optimize a separable optimization problem with…

Optimization and Control · Mathematics 2016-11-01 Peng Yi , Jinlong Lei , Yiguang Hong

Living cells often need to measure chemical concentrations that vary in time. To this end, they deploy many resources, e.g. receptors, downstream signaling molecules, time and energy. Here, we present a theory for the optimal design of a…

Molecular Networks · Quantitative Biology 2019-02-26 G. Malaguti , P. R. ten Wolde

Employing an effective cellular automata model, we investigate and analyze the build-up and erosion of soil. Depending on the strategy employed for handling agricultural production, in many cases we find a critical dependence on the…

Cellular Automata and Lattice Gases · Physics 2015-06-16 Klaus Lichtenegger , Wilhelm Schappacher

Cells use temporal dynamical patterns to transmit information via signaling pathways. As optimality with respect to the environment plays a fundamental role in biological systems, organisms have evolved optimal ways to transmit information.…

Biological Physics · Physics 2016-12-21 Yoshihiko Hasegawa

Resource allocation and scheduling in multi-agent systems present challenges due to complex interactions and decentralization. This survey paper provides a comprehensive analysis of distributed algorithms for addressing the distributed…

Constraint-based metabolic models can be used to investigate the intracellular physiology of microorganisms. These models couple genes to reactions, and typically seek to predict metabolite fluxes that optimize some biologically important…

Optimization and Control · Mathematics 2025-05-13 Hannah Troppens , Mathieu Besançon , St. Elmo Wilken , Sebastian Pokutta
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