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Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE

Quantum model of a biological attack using MAPLE

Leidy Lorena Alzate Vargas

Published Apr 20, 2012• 0 citations
Publisher

Abstract

A pathogen has the possibility to attack the human body causing diseases or epidemics depending of our defenses. Government and control health organizations have an especial interest in to know what the probability of the human is and a population to be attacked and infected by the pathogens and how it can be influenced by the virulence and concentration of the external agent or substance. In this way, physics has been involved in the solution of the problem giving to the global health institutions a guide to control the disease, by understanding the situation as a quantum phenomenon known as penetration of a potential barrier or as classical diffusion problem which involves the spatial and temporal variation of the concentration of the pathogen that causes the disease. The computations required to the solution of this problem are presented with MAPLE and is expected that this solutions have important implications to the global health care.

DOI
10.1117/12.918412

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A pathogen has the possibility to attack the human body causing diseases or epidemics depending of our defenses. Government and control health organizations have an especial interest in to know what the probability of the human is and a population to be attacked and infected by the pathogens and how it can be influenced by the virulence and concentration of the external agent or substance. In this way, physics has been involved in the solution of the problem giving to the global health institutions a guide to control the disease, by understanding the situation as a quantum phenomenon known as penetration of a potential barrier or as classical diffusion problem which involves the spatial and temporal variation of the concentration of the pathogen that causes the disease. The computations required to the solution of this problem are presented with MAPLE and is expected that this solutions have important implications to the global health care.
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Effective epidemic control is crucial for mitigating the spread of infectious diseases, particularly when pharmaceutical interventions such as vaccines or treatments are limited. Nonpharmaceutical strategies, including mobility restrictions, are key in reducing transmission rates but require careful optimization to balance public health benefits and socioeconomic costs. Quantum computing is emerging as a powerful tool for solving complex optimization problems that are intractable for classical methods and can thus be leveraged to handle mobility restrictions. This article presents a new approach to optimizing epidemic control strategies using quantum computing techniques. We focus on non-pharmaceutical interventions, particularly mobility restriction, modeled as a discrete-time network epidemic process based on the susceptible-infected-susceptible and sus-ceptible-infected-removed frameworks. The control problem is formulated as a combinatorial optimization task, inherently NPhard due to the binary nature of intervention decisions. To tackle this computational complexity, we derive a Quadratic Unconstrained Binary Optimization representation of the control problem, enabling its efficient solution via quantum computing resources. Our methodology is validated through numerical simulations on realistic case studies, showcasing the potential of quantum algorithms for enhancing epidemic control strategies. These findings pave the way for leveraging quantum optimization in broader applications of networked dynamical systems, demonstrating its viability for complex decision-making processes in public health management.
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In this work, we introduce a quantum-inspired epidemic model to study the dynamics of an infectious disease in a population divided into compartments. By treating the healthy population as a large reservoir, we construct a framework based on open quantum systems and a Hilbert space formalism to model the spread of the infection. This approach allows for a mathematical framework that captures both Markovian and semi-Markovian dynamics in the evolution equations. Through numerical experiments, we examine the effect of varying memory parameters on the epidemic evolution, focusing in particular on the conditions under which the model remains physically admissible.This article is part of the theme issue 'Quantum theory and topology in models of decision making (Part 1)'.
The leading cause and foremost reason for mortality and morbidity in the world is a group known as Noncommunicable Diseases. The best approach to treat them is to evaluate and control the risk factors. There are shared by all these diseases leading to the existence of some meeting points behind all of them. There should be some key to acquire conditions that modify the cells homeostasis and impaired the cell physiology developing different diseases. Physics try to explain the nature of the phenomena that surround us, at first, at the level of our macroscopic perception. Quantum physics studied the atomic and subatomic particles and revolutionized the reality perception with paradoxical and weird concepts. Heisenberg's uncertainty principle established that it is not possible to determine the two characteristic properties of particles with accuracy; measurement affects the system and change it. Subatomic particles have a wave-particle duality that could be in a coherence statement, also can pass through high-energy barriers. Two subatomic particles are entangled, something happening over here can have an instantaneous effect over there, no matter how far away there are. All these concepts have tried to apply to biology and life sciences, especially when classical physics fails to give an accurate description. Quantum biology is behind photosynthesis, mitochondrial respiration, enzyme activity, the sense of smell, animal migration, heredity's fidelity, and consciousness. We can apply all these concepts to diseases pathogeny. So, we describe quantum phenomena in oxidative stress, calcification, signal transduction, vitamin D production, cancer mutations, and microbiome induced pathology. I want to propose that medicine also can be explained by applying quantum physics concepts. It is a new, hard to believe, and an incredible path to be built, but we need to open the treatment options to our patients with new perspectives.