diff --git a/package-lock.json b/package-lock.json
index 31c68cd..e21ddb0 100644
--- a/package-lock.json
+++ b/package-lock.json
@@ -12,7 +12,7 @@
         "@fontsource-variable/ibm-plex-sans": "^5.3.0",
         "@fontsource-variable/jetbrains-mono": "^5.3.0",
         "medium-zoom": "^1.1.0",
-        "mermaid": "^11.17.2",
+        "mermaid": "^12.2.0",
         "vitepress-plugin-mermaid": "^2.0.17"
       },
       "devDependencies": {
@@ -324,10 +324,41 @@
       "integrity": "sha512-jigsZK+sMF/cuiB7sERuo9V7N9jx+dhmHHnQyDSVdpZwVutaBu7WvNYqMDLSgFgfB30n452TP3vjDAvFC973mA==",
       "license": "MIT"
     },
+    "node_modules/@chevrotain/cst-dts-gen": {
+      "version": "13.2.0",
+      "resolved": "https://registry.npmjs.org/@chevrotain/cst-dts-gen/-/cst-dts-gen-13.2.0.tgz",
+      "integrity": "sha512-bA9dvWlhAUcHkNwU+8w9yiUxJPlj/Lm3VqS7MD+NbIR/7LmpNLuK/AWNFdCo/T3SK5ND0/UHf3IJvl/Jn/i6yg==",
+      "license": "Apache-2.0",
+      "dependencies": {
+        "@chevrotain/gast": "13.2.0",
+        "@chevrotain/types": "13.2.0"
+      }
+    },
+    "node_modules/@chevrotain/gast": {
+      "version": "13.2.0",
+      "resolved": "https://registry.npmjs.org/@chevrotain/gast/-/gast-13.2.0.tgz",
+      "integrity": "sha512-bCARdAsG+eEbOveSXcOAC7pVxA04I1ionzeMOwIYf5NX7SaS7zgn4Dgug2BSqoL+iyKeMNSorQjsFSHJHsCNwg==",
+      "license": "Apache-2.0",
+      "dependencies": {
+        "@chevrotain/types": "13.2.0"
+      }
+    },
+    "node_modules/@chevrotain/regexp-to-ast": {
+      "version": "13.2.0",
+      "resolved": "https://registry.npmjs.org/@chevrotain/regexp-to-ast/-/regexp-to-ast-13.2.0.tgz",
+      "integrity": "sha512-kxpUkLtiaK09ph+dib+Yvm+3sWSnuwlo25gqfKRgTPNmF6H7uW4gVkMjaRdtnN783S9sM6vUNWh9CsxYX4QwKw==",
+      "license": "Apache-2.0"
+    },
     "node_modules/@chevrotain/types": {
-      "version": "11.1.2",
-      "resolved": "https://registry.npmjs.org/@chevrotain/types/-/types-11.1.2.tgz",
-      "integrity": "sha512-U+HFai5+zmJCkK86QsaJtoITlboZHBqrVketcO2ROv865xfCMSFpELQoz1GkX5GzME8pTa+3kbKrZHQtI0gdbw==",
+      "version": "13.2.0",
+      "resolved": "https://registry.npmjs.org/@chevrotain/types/-/types-13.2.0.tgz",
+      "integrity": "sha512-7qrYHRlKfWf2AvBfJi5eVOrKAkbxvMFsy/iIHTGIiApNcEecCaVIdR+mIQhyCBsTDJxBz4JWXHMo6krbhR9hVg==",
+      "license": "Apache-2.0"
+    },
+    "node_modules/@chevrotain/utils": {
+      "version": "13.2.0",
+      "resolved": "https://registry.npmjs.org/@chevrotain/utils/-/utils-13.2.0.tgz",
+      "integrity": "sha512-SzKYY68rseOrb9KILVzPsl6SjkQtdWw01SRGB5aCVI5kFcHltQsOYV3JB0Ffst72DgkvHCyDQ0NLwxtmCCf97Q==",
       "license": "Apache-2.0"
     },
     "node_modules/@docsearch/css": {
@@ -868,12 +899,15 @@
       "optional": true
     },
     "node_modules/@mermaid-js/parser": {
-      "version": "1.2.1",
-      "resolved": "https://registry.npmjs.org/@mermaid-js/parser/-/parser-1.2.1.tgz",
-      "integrity": "sha512-n12NohV3mrUyUL2o93IgG/ifeW9FTyeJn3zDxkhwa8MJ9Fxg3HQMlA3RiGmD/3UnJvheztkjjQAjA2T4LmUcpw==",
+      "version": "2.0.1",
+      "resolved": "https://registry.npmjs.org/@mermaid-js/parser/-/parser-2.0.1.tgz",
+      "integrity": "sha512-j37dj/h6p6pots1L7pLPPNuABEEu9WP4OYg9pW1g+nYG331j0+3canE9OagtYdytYvdSAMG+2fKU5cxep6LgjA==",
       "license": "MIT",
       "dependencies": {
-        "@chevrotain/types": "~11.1.2"
+        "@chevrotain/types": "~13.2.0"
+      },
+      "engines": {
+        "node": ">=22.12.0"
       }
     },
     "node_modules/@napi-rs/lzma-linux-x64-gnu": {
@@ -1988,6 +2022,22 @@
         "url": "https://github.com/sponsors/wooorm"
       }
     },
+    "node_modules/chevrotain": {
+      "version": "13.2.0",
+      "resolved": "https://registry.npmjs.org/chevrotain/-/chevrotain-13.2.0.tgz",
+      "integrity": "sha512-GTouk5YzgBxlTPCaDn5q0q2EJKkrYmnPF+HmF8v0Qo4r3iyPG7HJivkN1wthCXZcm3sIcZFpGTRovLPNdJNRCA==",
+      "license": "Apache-2.0",
+      "dependencies": {
+        "@chevrotain/cst-dts-gen": "13.2.0",
+        "@chevrotain/gast": "13.2.0",
+        "@chevrotain/regexp-to-ast": "13.2.0",
+        "@chevrotain/types": "13.2.0",
+        "@chevrotain/utils": "13.2.0"
+      },
+      "engines": {
+        "node": ">=22.0.0"
+      }
+    },
     "node_modules/comma-separated-tokens": {
       "version": "2.0.3",
       "resolved": "https://registry.npmjs.org/comma-separated-tokens/-/comma-separated-tokens-2.0.3.tgz",
@@ -2579,6 +2629,12 @@
         "@types/trusted-types": "^2.0.7"
       }
     },
+    "node_modules/elkjs": {
+      "version": "0.9.3",
+      "resolved": "https://registry.npmjs.org/elkjs/-/elkjs-0.9.3.tgz",
+      "integrity": "sha512-f/ZeWvW/BCXbhGEf1Ujp29EASo/lk1FDnETgNKwJrsVvGZhUWCZyg3xLJjAsxfOmt8KjswHmI5EwCQcPMpOYhQ==",
+      "license": "EPL-2.0"
+    },
     "node_modules/emoji-regex-xs": {
       "version": "1.0.0",
       "resolved": "https://registry.npmjs.org/emoji-regex-xs/-/emoji-regex-xs-1.0.0.tgz",
@@ -2656,15 +2712,6 @@
       "integrity": "sha512-Rfkk/Mp/DL7JVje3u18FxFujQlTNR2q6QfMSMB7AvCBx91NGj/ba3kCfza0f6dVDbw7YlRf/nDrn7pQrCCyQ/w==",
       "license": "MIT"
     },
-    "node_modules/fastdom": {
-      "version": "1.0.12",
-      "resolved": "https://registry.npmjs.org/fastdom/-/fastdom-1.0.12.tgz",
-      "integrity": "sha512-LB+xjSTEbjHE1cWsxu+tN2Xqr1kpi+V9aADI7sVM5ZMaXyYGPHULQMzpJMYqOTULK/73pUkWVzzObFRBkPr+hg==",
-      "license": "MIT",
-      "dependencies": {
-        "strictdom": "^1.0.1"
-      }
-    },
     "node_modules/fdir": {
       "version": "6.5.0",
       "resolved": "https://registry.npmjs.org/fdir/-/fdir-6.5.0.tgz",
@@ -2892,16 +2939,17 @@
       "license": "MIT"
     },
     "node_modules/mermaid": {
-      "version": "11.17.2",
-      "resolved": "https://registry.npmjs.org/mermaid/-/mermaid-11.17.2.tgz",
-      "integrity": "sha512-V6K3C8EBdEsPFZXSKMJe6ppQOENxuHARr9GvHX4hh47lAbhMRD9qf4oEK7LoaRQxULMa80/qt5gHO73aCleBBg==",
+      "version": "12.2.0",
+      "resolved": "https://registry.npmjs.org/mermaid/-/mermaid-12.2.0.tgz",
+      "integrity": "sha512-w7nr/SFrLO7BaVTs3dQTvYSV6nYSBj0Yy9DjBhsIJtAcHqRzXSq4Pg32ujHZ/AdWsAMNEvvhbm5dt9E2tOiHzw==",
       "license": "MIT",
       "dependencies": {
         "@braintree/sanitize-url": "^7.1.2",
         "@iconify/utils": "^3.0.2",
-        "@mermaid-js/parser": "^1.2.1",
+        "@mermaid-js/parser": "^2.0.1",
         "@types/d3": "^7.4.3",
         "@upsetjs/venn.js": "^2.0.0",
+        "chevrotain": "~13.2.0",
         "cytoscape": "^3.34.0",
         "cytoscape-cose-bilkent": "^4.1.0",
         "cytoscape-fcose": "^2.2.0",
@@ -2909,16 +2957,19 @@
         "d3-sankey": "^0.12.3",
         "dagre-d3-es": "7.0.14",
         "dayjs": "^1.11.21",
-        "dompurify": "^3.3.3",
+        "dompurify": "^3.4.12",
+        "elkjs": "^0.9.3",
         "es-toolkit": "^1.45.1",
-        "fastdom": "1.0.12",
-        "katex": "^0.16.47",
+        "katex": "^0.18.0",
         "khroma": "^2.1.0",
         "marked": "^16.3.0",
         "roughjs": "^4.6.6",
         "stylis": "^4.3.6",
         "ts-dedent": "^2.2.0",
         "uuid": "^11.1.0 || ^12 || ^13 || ^14.0.0"
+      },
+      "engines": {
+        "node": ">=22.12.0"
       }
     },
     "node_modules/micromark-util-character": {
@@ -3322,12 +3373,6 @@
         "node": ">=0.10.0"
       }
     },
-    "node_modules/strictdom": {
-      "version": "1.0.1",
-      "resolved": "https://registry.npmjs.org/strictdom/-/strictdom-1.0.1.tgz",
-      "integrity": "sha512-cEmp9QeXXRmjj/rVp9oyiqcvyocWab/HaoN4+bwFeZ7QzykJD6L3yD4v12K1x0tHpqRqVpJevN3gW7kyM39Bqg==",
-      "license": "MIT"
-    },
     "node_modules/stringify-entities": {
       "version": "4.0.4",
       "resolved": "https://registry.npmjs.org/stringify-entities/-/stringify-entities-4.0.4.tgz",
diff --git a/package.json b/package.json
index cdbf622..597e782 100644
--- a/package.json
+++ b/package.json
@@ -24,7 +24,7 @@
     "@fontsource-variable/ibm-plex-sans": "^5.3.0",
     "@fontsource-variable/jetbrains-mono": "^5.3.0",
     "medium-zoom": "^1.1.0",
-    "mermaid": "^11.17.2",
+    "mermaid": "^12.2.0",
     "vitepress-plugin-mermaid": "^2.0.17"
   },
   "overrides": {