Abstract

MotivationThe evolution of complex diseases can be modeled as a time-dependent nonlinear dynamic system, and its progression can be divided into three states, i.e., the normal state, the pre-disease state and the disease state. The sudden deterioration of the disease can be regarded as the state transition of the dynamic system at the critical state or pre-disease state. How to detect the critical state of an individual before the disease state based on single-sample data has attracted many researchers’ attention.MethodsIn this study, we proposed a novel approach, i.e., single-sample-based Jensen-Shannon Divergence (sJSD) method to detect the early-warning signals of complex diseases before critical transitions based on individual single-sample data. The method aims to construct score index based on sJSD, namely, inconsistency index (ICI).ResultsThis method is applied to five real datasets, including prostate cancer, bladder urothelial carcinoma, influenza virus infection, cervical squamous cell carcinoma and endocervical adenocarcinoma and pancreatic adenocarcinoma. The critical states of 5 datasets with their corresponding sJSD signal biomarkers are successfully identified to diagnose and predict each individual sample, and some “dark genes” that without differential expressions but are sensitive to ICI score were revealed. This method is a data-driven and model-free method, which can be applied to not only disease prediction on individuals but also targeted drug design of each disease. At the same time, the identification of sJSD signal biomarkers is also of great significance for studying the molecular mechanism of disease progression from a dynamic perspective.

Highlights

  • The sample Jensen-Shannon Divergence (sJSD) algorithm proposed in this paper has been applied to five datasets, including prostate cancer dataset (GSE5345), influenza virus infection time series data (GSE30550) from the GEO database and bladder urothelial carcinoma (BLCA), cervical squamous cell carcinoma and endocervical adenocarcinoma (CESC) and pancreatic adenocarcinoma (PAAD) from the cancer genome atlas (TCGA) database

  • This paper proposed the sJSD algorithm based on the Jensen-Shannon Divergence (JSD) theory [14]

  • With a sharp increase in inconsistency index (ICI) score being treated as a signal of the approaching critical state, we can detect complex disease’s critical state through a single case sample

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Summary

Introduction

The disease state indicates that the system has passed a critical state into a new stable state, and the disease is in a phase of deterioration, in which most patients develop symptoms of the disease and begin to receive treatment, but it is difficult to return to the normal state. There is no significant difference in symptoms between the pre-disease state and the normal state in the process of complex disease, so it is very difficult to detect the critical transition during disease progression through traditional molecular markers and network markers [8]. DNB has been applied in the analysis of real biological and clinical data in many research areas It usually requires multiple samples, which limits its wide application due to unavailability of multiple samples on an individual for many cases. If two distributions P and Q differ greatly and do not overlap at all, KLD is meaningless and cannot be used.

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