{"id":165,"date":"2025-12-30T18:42:41","date_gmt":"2025-12-30T18:42:41","guid":{"rendered":"https:\/\/metavilabs.com\/blog\/?p=165"},"modified":"2026-02-09T12:52:37","modified_gmt":"2026-02-09T12:52:37","slug":"understanding-ibidi-chemotaxis-metrics","status":"publish","type":"post","link":"https:\/\/metavilabs.com\/blog\/2025\/12\/30\/understanding-ibidi-chemotaxis-metrics\/","title":{"rendered":"Understanding ibidi Chemotaxis Metrics"},"content":{"rendered":"
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Introduction<\/h2>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Chemotaxis\u2014the directed migration of cells in response to chemical gradients\u2014is fundamental to immune responses, wound healing, cancer metastasis, and embryonic development. Quantifying chemotaxis requires more than just measuring how far cells move; we need to understand whether they’re moving toward<\/em> the chemoattractant and how efficiently they navigate.<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n

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The ibidi Chemotaxis Tool has become a standard in the field, providing a well-defined coordinate system and metrics for analyzing cell migration in chemotaxis assays. This guide explains these metrics, how they’re calculated, and what they tell you about your cells.<\/p>\n

Checkout our new automated cell tracker application (with free trial)<\/strong>: FastTrack AI – Cell Migration<\/a><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n

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The ibidi Coordinate System<\/h2>\n

Before diving into metrics, it’s crucial to understand the ibidi coordinate system, which differs from standard image coordinates.<\/p>\n

Image Coordinates vs. ibidi Coordinates<\/h3>\n

Standard Image Coordinates:<\/strong><\/p>\n

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  • Origin at top-left corner<\/li>\n
  • X increases rightward<\/li>\n
  • Y increases downward<\/li>\n
  • No inherent biological meaning<\/li>\n<\/ul>\n

    ibidi Chemotaxis Coordinates:<\/strong><\/p>\n

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    • Origin at cell starting position (M_start)<\/li>\n
    • Y-axis (parallel)<\/strong>: Points toward the chemoattractant (direction of gradient)<\/li>\n
    • X-axis (perpendicular)<\/strong>: Perpendicular to gradient (90\u00b0 clockwise from Y-axis)<\/li>\n
    • Biologically meaningful: Y measures chemotaxis, X measures random drift<\/li>\n<\/ul>\n

      Reservoir Locations<\/h3>\n

      The ibidi \u03bc-Slide Chemotaxis chambers have reservoirs that establish chemical gradients. The reservoir location determines coordinate transformation:<\/p>\n\n\n\n\n\n\n\n\n
      Reservoir Position<\/th>\nForward Direction (Y)<\/th>\nPerpendicular Direction (X)<\/th>\n<\/tr>\n<\/thead>\n
      Bottom<\/strong><\/td>\nDownward (0, +1)<\/td>\nRightward (+1, 0)<\/td>\n<\/tr>\n
      Top<\/strong><\/td>\nUpward (0, -1)<\/td>\nLeftward (-1, 0)<\/td>\n<\/tr>\n
      Right<\/strong><\/td>\nRightward (+1, 0)<\/td>\nDownward (0, +1)<\/td>\n<\/tr>\n
      Left<\/strong><\/td>\nLeftward (-1, 0)<\/td>\nUpward (0, -1)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

      Key Rule:<\/strong> X-axis is always 90\u00b0 clockwise from the Y-axis gradient direction.<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n

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      Core Metrics Explained<\/h2>\n

      1. Forward Migration Index (FMI)<\/h3>\n

      FMI quantifies how much of a cell’s movement is directed along a specific axis, normalized by the total path length.<\/p>\n

      Formula:<\/h4>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
      FMI = \u03a3(displacement_along_axis) \/ AccumulatedDistance<\/code><\/pre>\n
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      Two Components:<\/h4>\n
      yFMI (Parallel FMI):<\/strong><\/p>\n
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      • Measures movement along the gradient (toward\/away from chemoattractant)<\/li>\n
      • Range:<\/strong> -1 to +1<\/li>\n
      • +1:<\/strong> Perfect directed movement toward attractant<\/li>\n
      • 0:<\/strong> Random walk (no net directionality)<\/li>\n
      • -1:<\/strong> Movement away from attractant (chemorepulsion)<\/li>\n<\/ul>\n
        xFMI (Perpendicular FMI):<\/strong><\/p>\n
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        • Measures drift perpendicular to gradient<\/li>\n
        • Range:<\/strong> -1 to +1<\/li>\n
        • Should be \u22480<\/strong> for true chemotaxis (random lateral drift)<\/li>\n
        • Non-zero values<\/strong> indicate bias or assymetric conditions<\/li>\n<\/ul>\n
          Example Interpretation:<\/h4>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
          yFMI = 0.75, xFMI = 0.05<\/code><\/pre>\n
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          \u2713 Strong chemotaxis (75% of movement toward attractant)
          \n\u2713 Minimal lateral drift (random walk perpendicular to gradient)<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
          yFMI = 0.15, xFMI = 0.60<\/code><\/pre>\n
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          \u2717 Weak chemotaxis (only 15% toward attractant)
          \n\u2717 Strong lateral bias (possibly due to flow, gravity, or damage)<\/p>\n
          2. Center of Mass (CoM)<\/h3>\n
          The average endpoint of all tracked cells, relative to their starting positions.<\/p>\n
          Components:<\/h4>\n
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          • CoM X:<\/strong> Mean perpendicular displacement (\u00b5m)<\/li>\n
          • CoM Y:<\/strong> Mean parallel displacement (\u00b5m)<\/li>\n
          • CoM Length:<\/strong> Euclidean distance from origin: \u221a(X\u00b2 + Y\u00b2)<\/li>\n<\/ul>\n
            Interpretation:<\/h4>\n
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            • CoM Length<\/strong> measures population-level net displacement<\/li>\n
            • For true chemotaxis: CoM Y >> CoM X<\/li>\n
            • Large CoM X suggests external bias or assymetry<\/li>\n<\/ul>\n
              Relationship to FMI:<\/h4>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
              CoM Length \u2248 MeanEuclideanDistance\r\nyFMI \u2248 CoM Y \/ MeanAccumulatedDistance<\/code><\/pre>\n
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              3. Directness (Directionality)<\/h3>\n
              Directness measures how straight cells move from start to finish.<\/p>\n
              Formula:<\/h4>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
              Directness = EuclideanDistance \/ AccumulatedDistance<\/code><\/pre>\n
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              Where:<\/p>\n
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              • EuclideanDistance:<\/strong> Straight-line distance from start to end<\/li>\n
              • AccumulatedDistance:<\/strong> Total path length traveled<\/li>\n<\/ul>\n
                Interpretation:<\/h4>\n
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                • 1.0:<\/strong> Perfectly straight line<\/li>\n
                • 0.8-0.95:<\/strong> Fairly direct migration (typical for chemotaxis)<\/li>\n
                • 0.5:<\/strong> Meandering path (significant random walk)<\/li>\n
                • <0.3:<\/strong> Highly convoluted, exploratory behavior<\/li>\n<\/ul>\n
                  Important:<\/strong> High directness alone doesn’t prove chemotaxis\u2014a cell could walk straight in the wrong<\/em> direction. Always check yFMI alongside directness.<\/p>\n
                  4. Velocity vs. Speed<\/h3>\n
                  These terms are often confused but measure different things:<\/p>\n
                  Mean Velocity (\u00b5m\/min):<\/h4>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
                  Velocity = EuclideanDistance \/ Duration<\/code><\/pre>\n
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                  • Net displacement rate (start \u2192 end)<\/li>\n
                  • Affected by directness<\/li>\n
                  • Lower than speed for meandering cells<\/li>\n<\/ul>\n
                    Mean Speed (\u00b5m\/min):<\/h4>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
                    Speed = AccumulatedDistance \/ Duration<\/code><\/pre>\n
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                    • Total path length rate<\/li>\n
                    • Represents actual locomotion capability<\/li>\n
                    • Higher than velocity for random walkers<\/li>\n<\/ul>\n
                      Example:<\/h4>\n
                      A cell travels 200 \u00b5m over 20 minutes but ends up only 120 \u00b5m from its start:<\/p>\n
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                      • Speed:<\/strong> 200 \u00b5m \/ 20 min = 10 \u00b5m\/min<\/strong><\/li>\n
                      • Velocity:<\/strong> 120 \u00b5m \/ 20 min = 6 \u00b5m\/min<\/strong><\/li>\n
                      • Directness:<\/strong> 120 \/ 200 = 0.6<\/strong> (meandering path)<\/li>\n<\/ul>\n
                        5. Rayleigh Test<\/h3>\n
                        A statistical test for whether cell migration directions are randomly distributed or show a preferred direction.<\/p>\n
                        Interpretation:<\/h4>\n
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                        • p < 0.05:<\/strong> Significant directional bias (reject random walk hypothesis)<\/li>\n
                        • p > 0.05:<\/strong> Directions are randomly distributed (consistent with random walk)<\/li>\n<\/ul>\n
                          For chemotaxis experiments, you want<\/em> p < 0.05 in the treatment group but p > 0.05 in the control (no gradient).<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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                          Practical Guidelines<\/h2>\n
                          What Makes Good Chemotaxis?<\/h3>\n
                          A strong chemotactic response typically shows:<\/p>\n
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                          • yFMI:<\/strong> 0.6-0.9 (60-90% of movement toward attractant)<\/li>\n
                          • xFMI:<\/strong> -0.2 to +0.2 (minimal lateral bias)<\/li>\n
                          • Directness:<\/strong> >0.7 (fairly straight paths)<\/li>\n
                          • Rayleigh p-value:<\/strong> <0.05 (significant directionality)<\/li>\n<\/ul>\n
                            Red Flags in Your Data<\/h3>\n
                            High xFMI (>0.3):<\/strong><\/p>\n
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                            • Check for flow in the chamber<\/li>\n
                            • Verify chamber is level (no gravity effects)<\/li>\n
                            • Look for damage\/assymetry in chamber<\/li>\n<\/ul>\n
                              Low Directness (<0.5) with High yFMI:<\/strong><\/p>\n
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                              • Cells are moving toward attractant but taking inefficient paths<\/li>\n
                              • May indicate weak gradient or competing signals<\/li>\n
                              • Normal for some cell types (e.g., dendritic cells)<\/li>\n<\/ul>\n
                                Negative yFMI:<\/strong><\/p>\n
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                                • Possible chemorepulsion<\/li>\n
                                • Or cells were placed on wrong side of chamber<\/li>\n
                                • Or gradient direction was misidentified<\/li>\n<\/ul>\n
                                  Common Pitfalls<\/h3>\n
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                                  1. Wrong Reservoir Location:<\/strong> Choosing “Bottom” when gradient is from “Top” will invert yFMI sign<\/li>\n
                                  2. Insufficient Track Duration:<\/strong> Minimum 5 minutes recommended; longer is better for statistical power<\/li>\n
                                  3. Too Few Cells:<\/strong> Need \u226520 tracked cells for reliable statistics<\/li>\n
                                  4. Mixing Active and Inactive Tracks:<\/strong> Only include cells tracked for minimum duration<\/li>\n
                                  5. Ignoring Calibration:<\/strong> Always set \u00b5m\/pixel and seconds\/frame correctly<\/li>\n<\/ol>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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                                    Metric Reference Table<\/h2>\n\n\n\n\n\n\n\n\n\n\n
                                    Metric<\/th>\nSymbol<\/th>\nRange<\/th>\nIdeal Chemotaxis<\/th>\nRandom Walk<\/th>\nChemorepulsion<\/th>\n<\/tr>\n<\/thead>\n
                                    Parallel FMI<\/td>\nyFMI<\/td>\n-1 to +1<\/td>\n0.6-0.9<\/td>\n\u22480<\/td>\n-0.6 to -0.9<\/td>\n<\/tr>\n
                                    Perpendicular FMI<\/td>\nxFMI<\/td>\n-1 to +1<\/td>\n\u22480<\/td>\n\u22480<\/td>\n\u22480<\/td>\n<\/tr>\n
                                    Directness<\/td>\nd<\/td>\n0 to 1<\/td>\n>0.7<\/td>\n0.3-0.6<\/td>\n>0.7<\/td>\n<\/tr>\n
                                    Velocity<\/td>\nv<\/td>\n\u22650 \u00b5m\/min<\/td>\nModerate-High<\/td>\nLow<\/td>\nModerate-High<\/td>\n<\/tr>\n
                                    Speed<\/td>\ns<\/td>\n\u22650 \u00b5m\/min<\/td>\nAlways \u2265 velocity<\/td>\n\u2248velocity<\/td>\nAlways \u2265 velocity<\/td>\n<\/tr>\n
                                    Rayleigh p<\/td>\np<\/td>\n0 to 1<\/td>\n<0.05<\/td>\n>0.05<\/td>\n<0.05<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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                                    Example Analysis<\/h2>\n
                                    Experiment: Neutrophil response to fMLP gradient<\/h3>\n
                                    Results:<\/strong><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
                                    Chemotaxis Metrics (n=47 cells):\r\n  FMI Parallel (yFMI):        0.721\r\n  FMI Perpendicular (xFMI):   -0.043\r\n  Center of Mass Y:           185.3 \u00b5m\r\n  Center of Mass X:           -12.1 \u00b5m\r\n  Mean Directness:            0.823\r\n  Mean Velocity:              8.7 \u00b5m\/min\r\n  Mean Speed:                 10.6 \u00b5m\/min\r\n  Rayleigh Test p-value:      0.0001<\/code><\/pre>\n
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                                    Interpretation:<\/strong><\/p>\n
                                    \u2713 Strong chemotaxis:<\/strong> yFMI = 0.72 means 72% of neutrophil movement is directed toward fMLP
                                    \n\u2713 No lateral bias:<\/strong> xFMI \u2248 0 indicates no systematic drift perpendicular to gradient
                                    \n\u2713 Efficient migration:<\/strong> Directness = 0.82 shows fairly straight paths
                                    \n\u2713 Statistically significant:<\/strong> p < 0.001 strongly rejects random walk hypothesis
                                    \n\u2713 Active locomotion:<\/strong> Speed = 10.6 \u00b5m\/min is typical for activated neutrophils<\/p>\n
                                    Conclusion:<\/strong> Neutrophils exhibit robust, directed chemotaxis toward fMLP with minimal random walk component.<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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                                    Implementation Notes<\/h2>\n
                                    When implementing ibidi metrics in software:<\/p>\n
                                    1. Coordinate Transformation<\/h3>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
                                    \/\/ Example: Bottom reservoir (gradient pointing down)\r\ndouble gradientX = 0, gradientY = 1;  \/\/ Forward direction\r\ndouble perpX = 1, perpY = 0;          \/\/ 90\u00b0 clockwise: (gradY, -gradX)\r\n\r\n\/\/ For any reservoir, perpendicular is always:\r\nperpX = gradientY;\r\nperpY = -gradientX;<\/code><\/pre>\n
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                                    2. Track Filtering<\/h3>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
                                    \/\/ Recommended minimum track criteria:\r\nint minDetections = 3;              \/\/ At least 3 time points\r\ndouble minDuration = 300;           \/\/ At least 5 minutes (300 seconds)\r\ndouble minMovement = 2.0;           \/\/ At least 2 \u00b5m total displacement<\/code><\/pre>\n
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                                    3. Metric Calculation Order<\/h3>\n
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                                    1. Transform coordinates (image \u2192 ibidi)<\/li>\n
                                    2. Normalize tracks (set start position to origin)<\/li>\n
                                    3. Calculate per-track metrics<\/li>\n
                                    4. Aggregate across population<\/li>\n
                                    5. Compute statistical tests<\/li>\n<\/ol>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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                                      Further Reading<\/h2>\n
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                                      • ibidi Application Guide:<\/strong> “Chemotaxis and Migration Tool” (FL_AG_035)<\/li>\n
                                      • Original Papers:<\/strong>\n
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                                        • Zigmond SH (1977) – Original chemotaxis assay<\/li>\n
                                        • Zicha et al. (1991) – Directness metric<\/li>\n
                                        • Petrie et al. (2009) – FMI and modern metrics<\/li>\n<\/ul>\n<\/li>\n
                                        • Related Metrics:<\/strong>\n
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                                          • Mean Square Displacement (MSD) – for diffusion analysis<\/li>\n
                                          • Track straightness – alternative to directness<\/li>\n
                                          • Persistence time – how long cells maintain direction<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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                                            Summary<\/h2>\n
                                            ibidi chemotaxis metrics provide a standardized, biologically meaningful framework for quantifying directed cell migration:<\/p>\n
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                                            • FMI (yFMI, xFMI):<\/strong> Direction and bias of movement<\/li>\n
                                            • Center of Mass:<\/strong> Population-level displacement<\/li>\n
                                            • Directness:<\/strong> Path efficiency<\/li>\n
                                            • Velocity\/Speed:<\/strong> Migration rates<\/li>\n
                                            • Rayleigh Test:<\/strong> Statistical significance<\/li>\n<\/ul>\n
                                              Understanding these metrics enables rigorous quantification of chemotactic responses, comparison across experiments, and publication-quality analysis.<\/p>\n
                                              When analyzing your data, always consider metrics together\u2014no single value tells the complete story. A strong chemotactic response shows high yFMI, near-zero xFMI, reasonable directness, and significant Rayleigh p-value.<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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                                              About MetaVi Labs:<\/strong> We develop automated image analysis tools for life science research, including implementation of ibidi-compatible chemotaxis analysis in our FastTrackAI platform.<\/p>\n
                                              Questions or feedback? Contact us at support@metavilabs.com<\/em><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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                                              Last updated: December 30, 2025<\/em><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"
                                              Introduction Chemotaxis\u2014the directed migration of cells in response to chemical gradients\u2014is fundamental to immune responses, wound healing, cancer metastasis, and embryonic development. Quantifying chemotaxis requires more than just measuring how far cells move; we need to understand whether they’re moving toward the chemoattractant and how efficiently they navigate. The ibidi Chemotaxis Tool has become a […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-165","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/metavilabs.com\/blog\/wp-json\/wp\/v2\/posts\/165","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/metavilabs.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/metavilabs.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/metavilabs.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/metavilabs.com\/blog\/wp-json\/wp\/v2\/comments?post=165"}],"version-history":[{"count":7,"href":"https:\/\/metavilabs.com\/blog\/wp-json\/wp\/v2\/posts\/165\/revisions"}],"predecessor-version":[{"id":173,"href":"https:\/\/metavilabs.com\/blog\/wp-json\/wp\/v2\/posts\/165\/revisions\/173"}],"wp:attachment":[{"href":"https:\/\/metavilabs.com\/blog\/wp-json\/wp\/v2\/media?parent=165"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/metavilabs.com\/blog\/wp-json\/wp\/v2\/categories?post=165"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/metavilabs.com\/blog\/wp-json\/wp\/v2\/tags?post=165"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}