Directly Mapping Interacting Components to Complex Systems' Emergent Properties

Fuente: arXiv
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Autores principales: Yan, Lina, Khong, Jeffrey Huy, Kostadinov, Aleksandar, Chen, Wen-Jun, Fuh, Jerry Ying Hsi, Ho, Chih-Ming
Formato: Preprint
Publicado: 2025
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author Yan, Lina
Khong, Jeffrey Huy
Kostadinov, Aleksandar
Chen, Wen-Jun
Fuh, Jerry Ying Hsi
Ho, Chih-Ming
author_facet Yan, Lina
Khong, Jeffrey Huy
Kostadinov, Aleksandar
Chen, Wen-Jun
Fuh, Jerry Ying Hsi
Ho, Chih-Ming
contents Emergent behavior in complex systems arises from nonlinear interactions among components, yet the intricate nature of self-organization often obscures the underlying causal relationships, long regarded as the "holy grail" of complexity research. To address this challenge, we adopted an inductive, mechanism-agnostic approach to characterize how diseased biological systems respond to therapeutic interventions, leading to the discovery of the Complex System Response (CSR) equation, a deterministic formulation that quantitatively connects component interactions with emergent behaviors, validated across 30 disease models. In this study, the main goal is to extend the CSR framework beyond biology to validate its applicability in engineering systems and urban social dynamics. Our results reveal that the CSR equation embodies the same systemic principles governing physical, chemical, biological, and social complex systems.
format Preprint
id arxiv_https___arxiv_org_abs_2510_10881
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Directly Mapping Interacting Components to Complex Systems' Emergent Properties
Yan, Lina
Khong, Jeffrey Huy
Kostadinov, Aleksandar
Chen, Wen-Jun
Fuh, Jerry Ying Hsi
Ho, Chih-Ming
Adaptation and Self-Organizing Systems
Emergent behavior in complex systems arises from nonlinear interactions among components, yet the intricate nature of self-organization often obscures the underlying causal relationships, long regarded as the "holy grail" of complexity research. To address this challenge, we adopted an inductive, mechanism-agnostic approach to characterize how diseased biological systems respond to therapeutic interventions, leading to the discovery of the Complex System Response (CSR) equation, a deterministic formulation that quantitatively connects component interactions with emergent behaviors, validated across 30 disease models. In this study, the main goal is to extend the CSR framework beyond biology to validate its applicability in engineering systems and urban social dynamics. Our results reveal that the CSR equation embodies the same systemic principles governing physical, chemical, biological, and social complex systems.
title Directly Mapping Interacting Components to Complex Systems' Emergent Properties
topic Adaptation and Self-Organizing Systems
url https://arxiv.org/abs/2510.10881