2020
DOI: 10.1093/gigascience/giaa128
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Trajectories, bifurcations, and pseudo-time in large clinical datasets: applications to myocardial infarction and diabetes data

Abstract: Background Large observational clinical datasets are becoming increasingly available for mining associations between various disease traits and administered therapy. These datasets can be considered as representations of the landscape of all possible disease conditions, in which a concrete disease state develops through stereotypical routes, characterized by “points of no return" and “final states" (such as lethal or recovery states). Extracting this information directly from the data remains… Show more

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Cited by 32 publications
(26 citation statements)
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“…The ElPiGraph package implemented in Python is available from https://github.com/sysbiocurie/ElPiGraph.P. ElPigraph serves as the algorithmic core for several methods of cellular trajectory inference [20,30] and for quantifying trajectories from synchronic clinical data [34].…”
Section: Methods Of Elastic Principal Graphs (Elpigraph)mentioning
confidence: 99%
“…The ElPiGraph package implemented in Python is available from https://github.com/sysbiocurie/ElPiGraph.P. ElPigraph serves as the algorithmic core for several methods of cellular trajectory inference [20,30] and for quantifying trajectories from synchronic clinical data [34].…”
Section: Methods Of Elastic Principal Graphs (Elpigraph)mentioning
confidence: 99%
“…The precise connection between physical time and pseudotime (geometric time) in the cell cycle is worth studying in more detail since this is the central question in the dynamic phenotyping approach in general [46]. Some of these relations can be potentially quantified from exploring the variations of point density along the inferred trajectories [47].…”
Section: Fitting Parameters Of the Simple Kinetic Cell Cycle Modelmentioning
confidence: 99%
“…Please note that within the framework of the original nested optimization scheme, the generated subproblems are solved only sequentially; the resulting hierarchical scheme for generating and solving subproblems has the form of a tree. The construction of this tree occurs dynamically in the process of solving the original problem (1). In this case, the calculation of one value of the function ϕ i (y 1 , y 2 , ..., y i ) at the i-th level requires a complete solution of all problems of one of the subtrees of level i + 1.…”
Section: Adaptive Dimension Reduction Schemementioning
confidence: 99%
“…The successful application of machine learning (ML) methods to solve a wide range of problems leads to the emergence of new ways to apply ML for many tasks. Methods of machine learning were shown to be particularly effective for identifying the principal properties of the phenomena (for example, physical, economic, or social), which are stochastic by nature or contain some hidden parameters [1,2]. ML is also successfully used to solve complex problems of computational mathematics, for example, for simulation of dynamical systems [3], solution of ordinary, partial, or stochastic differential equations [4][5][6].…”
Section: Introductionmentioning
confidence: 99%