diff --git a/nicegui/elements/leaflet.js b/nicegui/elements/leaflet.js
index 2bd5b41d1..2a81d6535 100644
--- a/nicegui/elements/leaflet.js
+++ b/nicegui/elements/leaflet.js
@@ -107,13 +107,10 @@ export default {
       clearInterval(connectInterval);
     }, 100);
   },
+  updated() {
+    this.map?.setView(this.center, this.zoom);
+  },
   methods: {
-    setCenter(center) {
-      this.map.panTo(center);
-    },
-    setZoom(zoom) {
-      this.map.setZoom(zoom);
-    },
     add_layer(layer, id) {
       const l = L[layer.type](...layer.args);
       l.id = id;
diff --git a/nicegui/elements/leaflet.py b/nicegui/elements/leaflet.py
index 750e9e17e..82104ab51 100644
--- a/nicegui/elements/leaflet.py
+++ b/nicegui/elements/leaflet.py
@@ -98,14 +98,14 @@ def set_center(self, center: Tuple[float, float]) -> None:
         if self._props['center'] == center:
             return
         self._props['center'] = center
-        self.run_method('setCenter', center)
+        self.update()
 
     def set_zoom(self, zoom: int) -> None:
         """Set the zoom level of the map."""
         if self._props['zoom'] == zoom:
             return
         self._props['zoom'] = zoom
-        self.run_method('setZoom', zoom)
+        self.update()
 
     def remove_layer(self, layer: Layer) -> None:
         """Remove a layer from the map."""
diff --git a/nicegui/elements/markdown.js b/nicegui/elements/markdown.js
index 24bcb9376..b5a28bc7a 100644
--- a/nicegui/elements/markdown.js
+++ b/nicegui/elements/markdown.js
@@ -4,7 +4,7 @@ export default {
     this.ensure_codehilite_css();
     if (this.use_mermaid) {
       this.mermaid = (await import("mermaid")).default;
-      this.update(this.$el.innerHTML);
+      this.renderMermaid();
     }
   },
   data() {
@@ -12,9 +12,11 @@ export default {
       mermaid: null,
     };
   },
+  updated() {
+    this.renderMermaid();
+  },
   methods: {
-    update(content) {
-      this.$el.innerHTML = content;
+    renderMermaid() {
       this.$el.querySelectorAll(".mermaid-pre").forEach(async (pre, i) => {
         await this.mermaid.run({ nodes: [pre.children[0]] });
       });
diff --git a/nicegui/elements/markdown.py b/nicegui/elements/markdown.py
index 029782d72..faeac23ee 100644
--- a/nicegui/elements/markdown.py
+++ b/nicegui/elements/markdown.py
@@ -34,7 +34,7 @@ def _handle_content_change(self, content: str) -> None:
         html = prepare_content(content, extras=' '.join(self.extras))
         if self._props.get('innerHTML') != html:
             self._props['innerHTML'] = html
-            self.run_method('update', html)
+            self.update()
 
 
 @lru_cache(maxsize=int(os.environ.get('MARKDOWN_CONTENT_CACHE_SIZE', '1000')))
diff --git a/nicegui/elements/restructured_text.py b/nicegui/elements/restructured_text.py
index cde94d7de..f941b9654 100644
--- a/nicegui/elements/restructured_text.py
+++ b/nicegui/elements/restructured_text.py
@@ -21,7 +21,7 @@ def _handle_content_change(self, content: str) -> None:
         html = prepare_content(content)
         if self._props.get('innerHTML') != html:
             self._props['innerHTML'] = html
-            self.run_method('update', html)
+            self.update()
 
 
 @lru_cache(maxsize=int(os.environ.get('RST_CONTENT_CACHE_SIZE', '1000')))