pairwise pearsons linear correlation coefficients Search Results


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GraphPad Software Inc pearson correlation coefficient r 2
Pearson Correlation Coefficient R 2, supplied by GraphPad Software Inc, used in various techniques. Bioz Stars score: 90/100, based on 1 PubMed citations. ZERO BIAS - scores, article reviews, protocol conditions and more
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Bravais–Pearson Coefficient Of Linear Correlation, supplied by Drucker Diagnostics, used in various techniques. Bioz Stars score: 90/100, based on 1 PubMed citations. ZERO BIAS - scores, article reviews, protocol conditions and more
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Linear Correlation Analysis Using 2 Tailed Pearson Correlation Coefficient, supplied by GraphPad Software Inc, used in various techniques. Bioz Stars score: 90/100, based on 1 PubMed citations. ZERO BIAS - scores, article reviews, protocol conditions and more
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Linear Regression/Pearson Correlation Coefficient Test, supplied by OriginLab corp, used in various techniques. Bioz Stars score: 90/100, based on 1 PubMed citations. ZERO BIAS - scores, article reviews, protocol conditions and more
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CellTran Limited gene pairwise pearson’s correlation coefficients (gppccs)
Identifying transition cells based on gene pairwise Pearson’s correlation coefficients (A) Stable cells and transition cells are separated through their intrinsic gene pairwise Pearson’s correlation coefficients <t>(GPPCCs).</t> In a Waddington’s landscape illustrating developmental processes, there are “valleys” and “ridges.” Valleys correspond to <t>stable</t> <t>cellular</t> states, and ridges represent barriers separating these stable states. During developmental processes, cells may transit from one stable state to another due to the change in the local landscape. We modeled these transitions as a result of the change in gene regulatory relations using stochastic differential equations (SDEs). Based on our mathematical derivations, gene pairwise correlation coefficients for transition cells are closer to ±1 compared with stable cells (illustrative heatmap: x axis, cells; y axis, gene pairs; color, values of GPPCCs) (see ). We further defined a transition index, which is proportional to the transition probability, to identify transition cells. (B) Transition cells identification workflow. To identify transition cells, we developed an analytical workflow containing several steps. We first did data preprocessing, including quality control, finding neighbors of each cell and obtaining the gene list with the largest expression variations. Then, GPPCCs were calculated for each cell by using the expression profiles of the cell and its nearest neighbors. Based on the empirical distribution of coefficients from all cells, a transition index, which is proportional to the transitioning probability, was calculated for each cell. (C)–(F) Identifying transition index using a simulation dataset. The simulation dataset is generated using SERGIO containing three steady states with linear transitioning structure. There are 5,000 stable cells in each steady state and 1,000 transition cells transitioning from state 1 to state 2 and state 2 to state 3. (C) UMAP of all cells with transition cells highlighted in red. (D) UMAP colored by transition index. (E and F) Evaluation with doublets. A total of 1,000 stable cells from state 1 and state 2 are randomly selected to generate doublets. (E) UMAP colored by the state of cells. (F) UMAP colored by transition index.
Gene Pairwise Pearson’s Correlation Coefficients (Gppccs), supplied by CellTran Limited, used in various techniques. Bioz Stars score: 90/100, based on 1 PubMed citations. ZERO BIAS - scores, article reviews, protocol conditions and more
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OriginLab corp linear fits and correlation values (pearson product-moment correlation coefficients)
Identifying transition cells based on gene pairwise Pearson’s correlation coefficients (A) Stable cells and transition cells are separated through their intrinsic gene pairwise Pearson’s correlation coefficients <t>(GPPCCs).</t> In a Waddington’s landscape illustrating developmental processes, there are “valleys” and “ridges.” Valleys correspond to <t>stable</t> <t>cellular</t> states, and ridges represent barriers separating these stable states. During developmental processes, cells may transit from one stable state to another due to the change in the local landscape. We modeled these transitions as a result of the change in gene regulatory relations using stochastic differential equations (SDEs). Based on our mathematical derivations, gene pairwise correlation coefficients for transition cells are closer to ±1 compared with stable cells (illustrative heatmap: x axis, cells; y axis, gene pairs; color, values of GPPCCs) (see ). We further defined a transition index, which is proportional to the transition probability, to identify transition cells. (B) Transition cells identification workflow. To identify transition cells, we developed an analytical workflow containing several steps. We first did data preprocessing, including quality control, finding neighbors of each cell and obtaining the gene list with the largest expression variations. Then, GPPCCs were calculated for each cell by using the expression profiles of the cell and its nearest neighbors. Based on the empirical distribution of coefficients from all cells, a transition index, which is proportional to the transitioning probability, was calculated for each cell. (C)–(F) Identifying transition index using a simulation dataset. The simulation dataset is generated using SERGIO containing three steady states with linear transitioning structure. There are 5,000 stable cells in each steady state and 1,000 transition cells transitioning from state 1 to state 2 and state 2 to state 3. (C) UMAP of all cells with transition cells highlighted in red. (D) UMAP colored by transition index. (E and F) Evaluation with doublets. A total of 1,000 stable cells from state 1 and state 2 are randomly selected to generate doublets. (E) UMAP colored by the state of cells. (F) UMAP colored by transition index.
Linear Fits And Correlation Values (Pearson Product Moment Correlation Coefficients), supplied by OriginLab corp, used in various techniques. Bioz Stars score: 90/100, based on 1 PubMed citations. ZERO BIAS - scores, article reviews, protocol conditions and more
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GraphPad Software Inc pearson’s correlation coefficient from a least square’s linear regression line using graphpad prism v3
Identifying transition cells based on gene pairwise Pearson’s correlation coefficients (A) Stable cells and transition cells are separated through their intrinsic gene pairwise Pearson’s correlation coefficients <t>(GPPCCs).</t> In a Waddington’s landscape illustrating developmental processes, there are “valleys” and “ridges.” Valleys correspond to <t>stable</t> <t>cellular</t> states, and ridges represent barriers separating these stable states. During developmental processes, cells may transit from one stable state to another due to the change in the local landscape. We modeled these transitions as a result of the change in gene regulatory relations using stochastic differential equations (SDEs). Based on our mathematical derivations, gene pairwise correlation coefficients for transition cells are closer to ±1 compared with stable cells (illustrative heatmap: x axis, cells; y axis, gene pairs; color, values of GPPCCs) (see ). We further defined a transition index, which is proportional to the transition probability, to identify transition cells. (B) Transition cells identification workflow. To identify transition cells, we developed an analytical workflow containing several steps. We first did data preprocessing, including quality control, finding neighbors of each cell and obtaining the gene list with the largest expression variations. Then, GPPCCs were calculated for each cell by using the expression profiles of the cell and its nearest neighbors. Based on the empirical distribution of coefficients from all cells, a transition index, which is proportional to the transitioning probability, was calculated for each cell. (C)–(F) Identifying transition index using a simulation dataset. The simulation dataset is generated using SERGIO containing three steady states with linear transitioning structure. There are 5,000 stable cells in each steady state and 1,000 transition cells transitioning from state 1 to state 2 and state 2 to state 3. (C) UMAP of all cells with transition cells highlighted in red. (D) UMAP colored by transition index. (E and F) Evaluation with doublets. A total of 1,000 stable cells from state 1 and state 2 are randomly selected to generate doublets. (E) UMAP colored by the state of cells. (F) UMAP colored by transition index.
Pearson’s Correlation Coefficient From A Least Square’s Linear Regression Line Using Graphpad Prism V3, supplied by GraphPad Software Inc, used in various techniques. Bioz Stars score: 90/100, based on 1 PubMed citations. ZERO BIAS - scores, article reviews, protocol conditions and more
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KNIME GmbH pearson’s product-moment coefficient implemented in the knime node linear correlation
Identifying transition cells based on gene pairwise Pearson’s correlation coefficients (A) Stable cells and transition cells are separated through their intrinsic gene pairwise Pearson’s correlation coefficients <t>(GPPCCs).</t> In a Waddington’s landscape illustrating developmental processes, there are “valleys” and “ridges.” Valleys correspond to <t>stable</t> <t>cellular</t> states, and ridges represent barriers separating these stable states. During developmental processes, cells may transit from one stable state to another due to the change in the local landscape. We modeled these transitions as a result of the change in gene regulatory relations using stochastic differential equations (SDEs). Based on our mathematical derivations, gene pairwise correlation coefficients for transition cells are closer to ±1 compared with stable cells (illustrative heatmap: x axis, cells; y axis, gene pairs; color, values of GPPCCs) (see ). We further defined a transition index, which is proportional to the transition probability, to identify transition cells. (B) Transition cells identification workflow. To identify transition cells, we developed an analytical workflow containing several steps. We first did data preprocessing, including quality control, finding neighbors of each cell and obtaining the gene list with the largest expression variations. Then, GPPCCs were calculated for each cell by using the expression profiles of the cell and its nearest neighbors. Based on the empirical distribution of coefficients from all cells, a transition index, which is proportional to the transitioning probability, was calculated for each cell. (C)–(F) Identifying transition index using a simulation dataset. The simulation dataset is generated using SERGIO containing three steady states with linear transitioning structure. There are 5,000 stable cells in each steady state and 1,000 transition cells transitioning from state 1 to state 2 and state 2 to state 3. (C) UMAP of all cells with transition cells highlighted in red. (D) UMAP colored by transition index. (E and F) Evaluation with doublets. A total of 1,000 stable cells from state 1 and state 2 are randomly selected to generate doublets. (E) UMAP colored by the state of cells. (F) UMAP colored by transition index.
Pearson’s Product Moment Coefficient Implemented In The Knime Node Linear Correlation, supplied by KNIME GmbH, used in various techniques. Bioz Stars score: 90/100, based on 1 PubMed citations. ZERO BIAS - scores, article reviews, protocol conditions and more
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SAS institute pairwise pearson correlation coefficients calculated in jmp
Identifying transition cells based on gene pairwise Pearson’s correlation coefficients (A) Stable cells and transition cells are separated through their intrinsic gene pairwise Pearson’s correlation coefficients <t>(GPPCCs).</t> In a Waddington’s landscape illustrating developmental processes, there are “valleys” and “ridges.” Valleys correspond to <t>stable</t> <t>cellular</t> states, and ridges represent barriers separating these stable states. During developmental processes, cells may transit from one stable state to another due to the change in the local landscape. We modeled these transitions as a result of the change in gene regulatory relations using stochastic differential equations (SDEs). Based on our mathematical derivations, gene pairwise correlation coefficients for transition cells are closer to ±1 compared with stable cells (illustrative heatmap: x axis, cells; y axis, gene pairs; color, values of GPPCCs) (see ). We further defined a transition index, which is proportional to the transition probability, to identify transition cells. (B) Transition cells identification workflow. To identify transition cells, we developed an analytical workflow containing several steps. We first did data preprocessing, including quality control, finding neighbors of each cell and obtaining the gene list with the largest expression variations. Then, GPPCCs were calculated for each cell by using the expression profiles of the cell and its nearest neighbors. Based on the empirical distribution of coefficients from all cells, a transition index, which is proportional to the transitioning probability, was calculated for each cell. (C)–(F) Identifying transition index using a simulation dataset. The simulation dataset is generated using SERGIO containing three steady states with linear transitioning structure. There are 5,000 stable cells in each steady state and 1,000 transition cells transitioning from state 1 to state 2 and state 2 to state 3. (C) UMAP of all cells with transition cells highlighted in red. (D) UMAP colored by transition index. (E and F) Evaluation with doublets. A total of 1,000 stable cells from state 1 and state 2 are randomly selected to generate doublets. (E) UMAP colored by the state of cells. (F) UMAP colored by transition index.
Pairwise Pearson Correlation Coefficients Calculated In Jmp, supplied by SAS institute, used in various techniques. Bioz Stars score: 90/100, based on 1 PubMed citations. ZERO BIAS - scores, article reviews, protocol conditions and more
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Drucker Diagnostics pearson coefficient of linear correlation
Identifying transition cells based on gene pairwise Pearson’s correlation coefficients (A) Stable cells and transition cells are separated through their intrinsic gene pairwise Pearson’s correlation coefficients <t>(GPPCCs).</t> In a Waddington’s landscape illustrating developmental processes, there are “valleys” and “ridges.” Valleys correspond to <t>stable</t> <t>cellular</t> states, and ridges represent barriers separating these stable states. During developmental processes, cells may transit from one stable state to another due to the change in the local landscape. We modeled these transitions as a result of the change in gene regulatory relations using stochastic differential equations (SDEs). Based on our mathematical derivations, gene pairwise correlation coefficients for transition cells are closer to ±1 compared with stable cells (illustrative heatmap: x axis, cells; y axis, gene pairs; color, values of GPPCCs) (see ). We further defined a transition index, which is proportional to the transition probability, to identify transition cells. (B) Transition cells identification workflow. To identify transition cells, we developed an analytical workflow containing several steps. We first did data preprocessing, including quality control, finding neighbors of each cell and obtaining the gene list with the largest expression variations. Then, GPPCCs were calculated for each cell by using the expression profiles of the cell and its nearest neighbors. Based on the empirical distribution of coefficients from all cells, a transition index, which is proportional to the transitioning probability, was calculated for each cell. (C)–(F) Identifying transition index using a simulation dataset. The simulation dataset is generated using SERGIO containing three steady states with linear transitioning structure. There are 5,000 stable cells in each steady state and 1,000 transition cells transitioning from state 1 to state 2 and state 2 to state 3. (C) UMAP of all cells with transition cells highlighted in red. (D) UMAP colored by transition index. (E and F) Evaluation with doublets. A total of 1,000 stable cells from state 1 and state 2 are randomly selected to generate doublets. (E) UMAP colored by the state of cells. (F) UMAP colored by transition index.
Pearson Coefficient Of Linear Correlation, supplied by Drucker Diagnostics, used in various techniques. Bioz Stars score: 90/100, based on 1 PubMed citations. ZERO BIAS - scores, article reviews, protocol conditions and more
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Straumann GmbH linear pearson correlation coefficient
Identifying transition cells based on gene pairwise Pearson’s correlation coefficients (A) Stable cells and transition cells are separated through their intrinsic gene pairwise Pearson’s correlation coefficients <t>(GPPCCs).</t> In a Waddington’s landscape illustrating developmental processes, there are “valleys” and “ridges.” Valleys correspond to <t>stable</t> <t>cellular</t> states, and ridges represent barriers separating these stable states. During developmental processes, cells may transit from one stable state to another due to the change in the local landscape. We modeled these transitions as a result of the change in gene regulatory relations using stochastic differential equations (SDEs). Based on our mathematical derivations, gene pairwise correlation coefficients for transition cells are closer to ±1 compared with stable cells (illustrative heatmap: x axis, cells; y axis, gene pairs; color, values of GPPCCs) (see ). We further defined a transition index, which is proportional to the transition probability, to identify transition cells. (B) Transition cells identification workflow. To identify transition cells, we developed an analytical workflow containing several steps. We first did data preprocessing, including quality control, finding neighbors of each cell and obtaining the gene list with the largest expression variations. Then, GPPCCs were calculated for each cell by using the expression profiles of the cell and its nearest neighbors. Based on the empirical distribution of coefficients from all cells, a transition index, which is proportional to the transitioning probability, was calculated for each cell. (C)–(F) Identifying transition index using a simulation dataset. The simulation dataset is generated using SERGIO containing three steady states with linear transitioning structure. There are 5,000 stable cells in each steady state and 1,000 transition cells transitioning from state 1 to state 2 and state 2 to state 3. (C) UMAP of all cells with transition cells highlighted in red. (D) UMAP colored by transition index. (E and F) Evaluation with doublets. A total of 1,000 stable cells from state 1 and state 2 are randomly selected to generate doublets. (E) UMAP colored by the state of cells. (F) UMAP colored by transition index.
Linear Pearson Correlation Coefficient, supplied by Straumann GmbH, used in various techniques. Bioz Stars score: 90/100, based on 1 PubMed citations. ZERO BIAS - scores, article reviews, protocol conditions and more
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Identifying transition cells based on gene pairwise Pearson’s correlation coefficients (A) Stable cells and transition cells are separated through their intrinsic gene pairwise Pearson’s correlation coefficients (GPPCCs). In a Waddington’s landscape illustrating developmental processes, there are “valleys” and “ridges.” Valleys correspond to stable cellular states, and ridges represent barriers separating these stable states. During developmental processes, cells may transit from one stable state to another due to the change in the local landscape. We modeled these transitions as a result of the change in gene regulatory relations using stochastic differential equations (SDEs). Based on our mathematical derivations, gene pairwise correlation coefficients for transition cells are closer to ±1 compared with stable cells (illustrative heatmap: x axis, cells; y axis, gene pairs; color, values of GPPCCs) (see ). We further defined a transition index, which is proportional to the transition probability, to identify transition cells. (B) Transition cells identification workflow. To identify transition cells, we developed an analytical workflow containing several steps. We first did data preprocessing, including quality control, finding neighbors of each cell and obtaining the gene list with the largest expression variations. Then, GPPCCs were calculated for each cell by using the expression profiles of the cell and its nearest neighbors. Based on the empirical distribution of coefficients from all cells, a transition index, which is proportional to the transitioning probability, was calculated for each cell. (C)–(F) Identifying transition index using a simulation dataset. The simulation dataset is generated using SERGIO containing three steady states with linear transitioning structure. There are 5,000 stable cells in each steady state and 1,000 transition cells transitioning from state 1 to state 2 and state 2 to state 3. (C) UMAP of all cells with transition cells highlighted in red. (D) UMAP colored by transition index. (E and F) Evaluation with doublets. A total of 1,000 stable cells from state 1 and state 2 are randomly selected to generate doublets. (E) UMAP colored by the state of cells. (F) UMAP colored by transition index.

Journal: Cell Reports Methods

Article Title: A statistical approach for systematic identification of transition cells from scRNA-seq data

doi: 10.1016/j.crmeth.2024.100913

Figure Lengend Snippet: Identifying transition cells based on gene pairwise Pearson’s correlation coefficients (A) Stable cells and transition cells are separated through their intrinsic gene pairwise Pearson’s correlation coefficients (GPPCCs). In a Waddington’s landscape illustrating developmental processes, there are “valleys” and “ridges.” Valleys correspond to stable cellular states, and ridges represent barriers separating these stable states. During developmental processes, cells may transit from one stable state to another due to the change in the local landscape. We modeled these transitions as a result of the change in gene regulatory relations using stochastic differential equations (SDEs). Based on our mathematical derivations, gene pairwise correlation coefficients for transition cells are closer to ±1 compared with stable cells (illustrative heatmap: x axis, cells; y axis, gene pairs; color, values of GPPCCs) (see ). We further defined a transition index, which is proportional to the transition probability, to identify transition cells. (B) Transition cells identification workflow. To identify transition cells, we developed an analytical workflow containing several steps. We first did data preprocessing, including quality control, finding neighbors of each cell and obtaining the gene list with the largest expression variations. Then, GPPCCs were calculated for each cell by using the expression profiles of the cell and its nearest neighbors. Based on the empirical distribution of coefficients from all cells, a transition index, which is proportional to the transitioning probability, was calculated for each cell. (C)–(F) Identifying transition index using a simulation dataset. The simulation dataset is generated using SERGIO containing three steady states with linear transitioning structure. There are 5,000 stable cells in each steady state and 1,000 transition cells transitioning from state 1 to state 2 and state 2 to state 3. (C) UMAP of all cells with transition cells highlighted in red. (D) UMAP colored by transition index. (E and F) Evaluation with doublets. A total of 1,000 stable cells from state 1 and state 2 are randomly selected to generate doublets. (E) UMAP colored by the state of cells. (F) UMAP colored by transition index.

Article Snippet: This is because the strengths and connections of regulatory networks can change during cellular state transitions, , while CellTran requests gene pairwise Pearson’s correlation coefficients (GPPCCs) to be calculated from cells that have similar regulatory profiles.

Techniques: Control, Expressing, Generated

Transition index can accurately separate transition cells and stable cells (A) UMAP colored by cell types. Approximately 7,000 MuSCs from the mouse muscle regeneration dataset were used to validate the capability of CellTran to identify transition cells. Cell-type annotations are obtained from the original publication. (B) UMAP colored by transition index. Gray dots on the top right indicate inadequate observation of cells in the cluster to calculate transition indices. (C) eCDF of GPPCCs for transition cells (red) and stable cells (black) in the mouse muscle regeneration dataset. (D) Violin plot of transition index for stable cells, and transition cells in the mouse muscle regeneration dataset. Transition indices of transition cells are significantly higher than those of stable cells (Wilcoxon test; p < 0.01). (E and F) Performance comparison of CellTran, CellRank, and MuTrans in terms of (E) AUROC and (F) PRAUC using the mouse muscle regeneration dataset.

Journal: Cell Reports Methods

Article Title: A statistical approach for systematic identification of transition cells from scRNA-seq data

doi: 10.1016/j.crmeth.2024.100913

Figure Lengend Snippet: Transition index can accurately separate transition cells and stable cells (A) UMAP colored by cell types. Approximately 7,000 MuSCs from the mouse muscle regeneration dataset were used to validate the capability of CellTran to identify transition cells. Cell-type annotations are obtained from the original publication. (B) UMAP colored by transition index. Gray dots on the top right indicate inadequate observation of cells in the cluster to calculate transition indices. (C) eCDF of GPPCCs for transition cells (red) and stable cells (black) in the mouse muscle regeneration dataset. (D) Violin plot of transition index for stable cells, and transition cells in the mouse muscle regeneration dataset. Transition indices of transition cells are significantly higher than those of stable cells (Wilcoxon test; p < 0.01). (E and F) Performance comparison of CellTran, CellRank, and MuTrans in terms of (E) AUROC and (F) PRAUC using the mouse muscle regeneration dataset.

Article Snippet: This is because the strengths and connections of regulatory networks can change during cellular state transitions, , while CellTran requests gene pairwise Pearson’s correlation coefficients (GPPCCs) to be calculated from cells that have similar regulatory profiles.

Techniques: Comparison