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US9430830B2 · US · B2
| Field | Value |
|---|---|
| Publication number | US-9430830-B2 |
| Application number | US-201414564298-A |
| Country | US |
| Kind code | B2 |
| Filing date | Dec 9, 2014 |
| Priority date | Jan 30, 2014 |
| Publication date | Aug 30, 2016 |
| Grant date | Aug 30, 2016 |
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Methods, apparatus, and other embodiments associated with objectively predicting disease aggressiveness using Spatially Aware Cell Cluster (SpACCl) graphs. One example apparatus includes a set of logics that acquires an image of a region of tissue, partitions the image into a stromal compartment and an epithelial compartment, identifies cluster nodes within the compartments, constructs a spatially aware stromal sub-graph and a spatially aware epithelial sub-graph based on the cluster nodes and a probabilistic decaying function of the distance between cluster nodes, extracts local features from the sub-graphs, and predicts the aggressiveness of a disease in the region of tissue based on the sub-graphs and the extracted features. Example methods and apparatus may employ a Support Vector Machine classifier to classify super-pixels within the image as stromal super-pixels or epithelial super-pixels.
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What is claimed is: 1. A non-transitory, computer-readable storage medium storing computer-executable instructions that when executed by the computer control the computer to perform a method for predicting a risk of disease by examining architectural features of stromal and epithelial tissue with a spatially aware cell cluster graph (SpACCl), comprising: accessing an image of a region of pathological tissue; identifying a stromal compartment in the image; identifying an epithelial compartment in the image, where the epithelial compartment is distinguishable from the stromal compartment; identifying a plurality of cluster nodes in the image, where a cluster node comprises a plurality of nuclei, and where identifying a plurality of cluster nodes comprises: identifying a stromal cluster node in the stromal compartment, and identifying an epithelial cluster node in the epithelial compartment; constructing electronic data associated with a spatially aware stromal sub-graph G S by connecting a first stromal cluster node with a second, different stromal cluster node, where the probability that the first stromal cluster node is connected with the second stromal cluster node is based, at least in part, on a probabilistic decaying function of the relative distance between the first stromal cluster node and the second stromal cluster node; constructing a spatially aware epithelial sub-graph G E by connecting a first epithelial cluster node with a second, different epithelial cluster node, where the probability that the first epithelial cluster node is connected with the second epithelial cluster node is based, at least in part, on a probabilistic decaying function of the relative distance between the first epithelial cluster node and the second epithelial cluster node; extracting local graph features from the sub-graphs G S and G E ; and predicting the risk of disease, based, at least in part, on the local graph features. 2. The non-transitory, computer-readable storage medium of claim 1 , where identifying a stromal compartment in the image and identifying an epithelial compartment in the image comprises: partitioning the image into a plurality of spatially coherent super-pixels; identifying nuclei within a super-pixel; generating a set of measurements by measuring the intensity and texture of the super-pixel and a neighboring super-pixel; training a classifier on the set of measurements; using the classifier to classify the super-pixel as either a stromal super-pixel or epithelial super-pixel; upon determining that the super-pixel is a stromal super-pixel, assigning the stromal super-pixel to the stromal compartment; and upon determining that the super-pixel is an epithelial super-pixel, assigning the epithelial super-pixel to the epithelial compartment. 3. The non-transitory, computer-readable storage medium of claim 2 , where the classifier is a Support Vector Machine (SVM) classifier, and where the SVM classifier is trained on the set of measurements using hand-labelled super-pixels. 4. The non-transitory, computer-readable storage medium of claim 1 , where identifying a plurality of cluster nodes in the image comprises: sampling three consecutive points (c w−1 , c w , c w+1 ) on a contour; computing an angle θ(c w ) between a plurality of vectors, where the plurality of vectors is defined by sampling the three consecutive points on the contour; determining a degree of concavity, where the degree of concavity is proportional to the angle θ(c w ); designating a point as a concavity point if θ(c w )>θ t , where θ t is an empirically set threshold degree; calculating a number of concavity points, and upon determining that the number of concavity points c w ≧1, classifying the contour as a cluster node. 5. The non-transitory, computer-readable storage medium of claim 1 , where the probabilistic decaying function of the relative distance between the first stromal cluster node and the second stromal cluster node is defined as: P ( u,v )= d ( u,v ) −α , where u represents the first stromal cluster node, v represents the second stromal cluster node, and 0≦α. 6. The non-transitory, computer-readable storage medium of claim 1 , where the probabilistic decaying function of the relative distance between the first epithelial cluster node and the second epithelial cluster node is defined as: P ( u,v )= d ( u,v ) −α , where u represents the first epithelial cluster node, v represents the second epithelial cluster node, and 0≦α. 7. The non-transitory, computer-readable storage medium of claim 6 , where a set of edges E i in the sub-graph G S or the sub-graph G E is defined as E i ={(u, v): r<d(u, v) −α , ∀u, vεV i }, where r is a real number between 0 and 1, and where α controls the density of the sub-graph. 8. The non-transitory, computer-readable storage medium of claim 7 , where extracting local graph features from the sub-graph G S and the sub-graph G E comprises extracting a clustering coefficient C, a clustering coefficient D, a giant connected component, an average eccentricity, a percent of isolated points, a number of central points, or a skewness of edge lengths. 9. The non-transitory, computer readable storage medium of claim 8 , where the clustering coefficient C describes a ratio of a total number of edges among neighbors of a cluster node to a total maximum possible number of edges among neighbors of the cluster node, per cluster node, where the clustering coefficient C is defined as: C ~ = ∑ u = 1 V C u V , where C u = E u ( k u 2 ) = 2 E u
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