Title: Algorithmic Quantum Simulation of Biological Metastasis via Spatio-Temporal Topology
Jincheng Zhang
Abstract
This paper explores the potential of algorithmic quantum simulation to model the evolution of biological metastasis through the intricate interplay of spatial topology. Traditional simulations struggle to adequately capture the complex, dynamic nature of this phenomenon, particularly the subtle shifts in network structure that drive the process. We propose a novel quantum map approach to represent biological systems, leveraging quantum entanglement and superposition to simulate the propagation of microorganisms. The core mechanism focuses on modeling the progression of spatial topology – the arrangement of nodes and connections – as it evolves across time, providing a fundamentally new framework for understanding metastasis. This research investigates the feasibility of simulating key stages of metastasis, including initial contact, clonal expansion, and the formation of metastatic colonies, utilizing quantum-enhanced computational tools. The proposed method promises a significant advancement in our comprehension of biological systems, offering a pathway to more accurate and insightful simulations of complex biological processes.