Accurate state estimation from uncertain data and models: an application of data assimilation to mathematical models of human brain tumors |
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Authors: | Eric J Kostelich Yang Kuang Joshua M McDaniel Nina Z Moore Nikolay L Martirosyan Mark C Preul |
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Institution: | 1. Department of Molecular and Cell Biology, University of Connecticut, Storrs, CT, 06269-3125, USA 2. Department of Biological Engineering, Massachusetts Institute of Technology, Cambridge, MA, 02139, USA 3. Biotechnology-Bioservices Center, University of Connecticut, Storrs, CT, 06269-3149, USA
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Abstract: | Background Data assimilation refers to methods for updating the state vector (initial condition) of a complex spatiotemporal model (such as a numerical weather model) by combining new observations with one or more prior forecasts. We consider the potential feasibility of this approach for making short-term (60-day) forecasts of the growth and spread of a malignant brain cancer (glioblastoma multiforme) in individual patient cases, where the observations are synthetic magnetic resonance images of a hypothetical tumor. Results We apply a modern state estimation algorithm (the Local Ensemble Transform Kalman Filter), previously developed for numerical weather prediction, to two different mathematical models of glioblastoma, taking into account likely errors in model parameters and measurement uncertainties in magnetic resonance imaging. The filter can accurately shadow the growth of a representative synthetic tumor for 360 days (six 60-day forecast/update cycles) in the presence of a moderate degree of systematic model error and measurement noise. Conclusions The mathematical methodology described here may prove useful for other modeling efforts in biology and oncology. An accurate forecast system for glioblastoma may prove useful in clinical settings for treatment planning and patient counseling. Reviewers This article was reviewed by Anthony Almudevar, Tomas Radivoyevitch, and Kristin Swanson (nominated by Georg Luebeck). |
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