Neural cellular automata: applications to biology and beyond classical AI
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Abstract (arXiv)
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 self-regulatory dynamics of living matter. By embedding Artificial Neural Networks (ANNs) as local decision-making centers and interaction rules between localized agents, NCA can simulate processes across molecular, cellular, tissue, and system-level scales, offering a multiscale competency architecture perspective on evolution, development, regeneration, aging, morphogenesis, and robotic control. These models not only reproduce biologically inspired target patterns but also generalize to novel conditions, demonstrating robustness to perturbations and the capacity for open-ended adaptation and reasoning. Given their immense success in recent developments, we here review current literature of NCAs that are relevant primarily for biological or bioengineering applications. Moreover, we emphasize that beyond biology, NCAs display robust and generalizing goal-directed dynamics without centralized control, e.g., in controlling or regenerating composite robotic morphologies or even on cutting-edge reasoning tasks such as ARC-AGI-1. In addition, the same principles of iterative state-refinement is reminiscent to modern generative Artificial Intelligence (AI), such as probabilistic diffusion models. Their governing self-regulatory behavior is constraint to fully localized interactions, yet their collective behavior scales into coordinated system-level outcomes. We thus argue that NCAs constitute a unifying computationally lean paradigm that not only bridges fundamental insights from multiscale biology with modern generative AI, but have the potential to design truly bio-inspired collective intelligence capable of hierarchical reasoning and control.
Key facts. Cited by 9 papers in the map (data through 14 Oct 2026). Builds on 45 of its 132 references that are in the map. First posted on arXiv 14 Sep 2025.
Builds on
45 of 132 references.
References · 45
- 2020Scaling Laws for Neural Language Modelscited by 6,586
- 2023SDXL: Improving Latent Diffusion Models for High-Resolution Image Synthesiscited by 4,356
- 2024WorldSimBench: Towards Video Generation Models as World Simulatorscited by 881
- 2018Recurrent World Models Facilitate Policy Evolutioncited by 785
- 2019Multi-Agent Reinforcement Learning: A Selective Overview of Theories and Algorithmscited by 567
- 2022Structure-based Drug Design with Equivariant Diffusion Modelscited by 217
- 2025Hierarchical Reasoning Modelcited by 177
- 2019A Review of Cooperative Multi-Agent Deep Reinforcement Learningcited by 147
- 2024ARC Prize 2024: Technical Reportcited by 104
- 2024A Phase Transition in Diffusion Models Reveals the Hierarchical Nature of Datacited by 93
- 2023Spontaneous Symmetry Breaking in Generative Diffusion Modelscited by 80
- 2019Learning to Control Self-Assembling Morphologies: A Study of Generalization via Modularitycited by 70
33 more
- 2018Cellular automata as convolutional neural networkscited by 45
- 2023The statistical thermodynamics of generative diffusion models: Phase transitions, symmetry breaking and critical instabilitycited by 39
- 2021Growing 3D Artefacts and Functional Machines with Neural Cellular Automatacited by 38
- 2022Variational Neural Cellular Automatacited by 28
- 2022Attention-based Neural Cellular Automatacited by 26
- 2021Technological Approach to Mind Everywhere (TAME): an experimentally-grounded framework for understanding diverse bodies and mindscited by 25
- 2023Med-NCA: Robust and Lightweight Segmentation with Neural Cellular Automatacited by 24
- 2022HyperNCA: Growing Developmental Networks with Neural Cellular Automatacited by 18
- 2024Diffusion Models are Evolutionary Algorithmscited by 17
- 2021Towards self-organized control: Using neural cellular automata to robustly control a cart-pole agentcited by 16
- 2021Regenerating Soft Robots through Neural Cellular Automatacited by 13
- 2021μNCA: Texture Generation with Ultra-Compact Neural Cellular Automatacited by 13
- 2022There's Plenty of Room Right Here: Biological Systems as Evolved, Overloaded, Multi-scale Machinescited by 12
- 2025ARC-NCA: Towards Developmental Solutions to the Abstraction and Reasoning Corpuscited by 10
- 2025Neural Cellular Automata for ARC-AGIcited by 10
- 2025Differentiable Logic Cellular Automata: From Game of Life to Pattern Generationcited by 9
- 2022Evolving Modular Soft Robots without Explicit Inter-Module Communication using Local Self-Attentioncited by 8
- 2024CAX: Cellular Automata Accelerated in JAXcited by 8
- 2020Neural Cellular Automata Manifoldcited by 7
- 2021Self-Organizing Intelligent Matter: A blueprint for an AI generating algorithmcited by 7
- 2025EngramNCA: a Neural Cellular Automaton Model of Memory Transfercited by 7
- 2024Heuristically Adaptive Diffusion-Model Evolutionary Strategycited by 6
- 2025A Path to Universal Neural Cellular Automatacited by 6
- 2025Neural Cellular Automata: From Cells to Pixelscited by 5
- 2022Severe Damage Recovery in Evolving Soft Robots through Differentiable Programmingcited by 4
- 2024Engineering morphogenesis of cell clusters with differentiable programmingcited by 4
- 2025Thousand-Brains Systems: Sensorimotor Intelligence for Rapid, Robust Learning and Inferencecited by 4
- 2017Individual versus collective cognition in social insectscited by 3
- 2023Pathfinding Neural Cellular Automatacited by 3
- 2025MedSegDiffNCA: Diffusion Models With Neural Cellular Automata for Skin Lesion Segmentationcited by 2
- 2025TAG: A Decentralized Framework for Multi-Agent Hierarchical Reinforcement Learningcited by 2
- 2022Assessing the robustness of critical behavior in stochastic cellular automatacited by 1
- 2023Selection for short-term empowerment accelerates the evolution of homeostatic neural cellular automatacited by 1
Built on by
Citing papers per year: 2026: 9.
9 papers.
- 2026On the Spatiotemporal Dynamics of Generalization in Neural Networkscited by 3
- 2026Remapping and navigation of an embedding space via error minimization: a fundamental organizational principle of cognition in natural and artificial systemscited by 1
- 2026BraiNCA: brain-inspired neural cellular automata and applications to morphogenesis and motor controlcited by 1
- 2026Communication Heterogeneity and Collective Consensus in Neural Cellular Automatacited by 0
- 2026Emulating Cosmic Structure Formation with a Lagrangian Neural Cellular Automatoncited by 0
- 2026The Artificial Experimentalist: Discovery and Control of Self-Organizing Phenomena with Autotelic Reinforcement Learningcited by 0
- 2026Learning PDE Time-Stepping with Neural Cellular Automatacited by 0
- 2026Applications of Neural Cellular Automata: State of the Art, Challenges and Opportunitiescited by 0
- 2026On Growth and Form, and Function: Reusable Regulatory Handles Control Phenotypic Variationcited by 0
- 2026On Growth and Form, and Function: Reusable Regulatory Handles Control Phenotypic Variation24 Sep 2026
- 2026Applications of Neural Cellular Automata: State of the Art, Challenges and Opportunities21 Sep 2026
- 2026Learning PDE Time-Stepping with Neural Cellular Automata31 Aug 2026
- 2026Emulating Cosmic Structure Formation with a Lagrangian Neural Cellular Automaton29 Jul 2026
- 2026Communication Heterogeneity and Collective Consensus in Neural Cellular Automata19 Jun 2026
- 2026The Artificial Experimentalist: Discovery and Control of Self-Organizing Phenomena with Autotelic Reinforcement Learning10 Jun 2026
- 2026BraiNCA: brain-inspired neural cellular automata and applications to morphogenesis and motor control2 Apr 2026
- 2026On the Spatiotemporal Dynamics of Generalization in Neural Networks2 Feb 2026
- 2026Remapping and navigation of an embedding space via error minimization: a fundamental organizational principle of cognition in natural and artificial systems20 Jan 2026
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- 2024Growing Artificial Neural Networks for Control: the Role of Neuronal Diversity
- 2026Toward Controlling Biology with Language:Offline Learning of Prompt-Conditioned Interventions for Cells, Organoids, and Biobots
- 2023Towards Self-Assembling Artificial Neural Networks through Neural Developmental Programs
- 2024An Organism Starts with a Single Pix-Cell: A Neural Cellular Diffusion for High-Resolution Image Synthesis
- 2025Graph Neural Network-Based Reinforcement Learning for Controlling Biological Networks - the GATTACA Framework
- 2026Why Do Conventional World Models Fail to Learn Cellular Automata?