diff --git a/examples/conways_game_of_life_fast/app.py b/examples/conways_game_of_life_fast/app.py
index a3084905..c5001821 100644
--- a/examples/conways_game_of_life_fast/app.py
+++ b/examples/conways_game_of_life_fast/app.py
@@ -34,9 +34,24 @@
         "max": 1,
         "step": 0.01,
     },
+    "randomize_new_cells": {  # New parameter for manual adjustment
+        "type": "SliderFloat",
+        "value": 0.05,  # The initial probability of reviving new cells
+        "label": "New Cells Randomization",
+        "min": 0,
+        "max": 1,
+        "step": 0.01,
+    },
 }
 
-gol = GameOfLifeModel()
+
+gol = GameOfLifeModel(
+    width=model_params["width"]["value"],
+    height=model_params["height"]["value"],
+    alive_fraction=model_params["alive_fraction"]["value"],
+    randomize_new_cells=model_params["randomize_new_cells"]["value"],
+)
+
 
 layer_viz = make_space_matplotlib(propertylayer_portrayal=propertylayer_portrayal)
 TotalAlivePlot = make_plot_measure("Cells alive")
diff --git a/examples/conways_game_of_life_fast/model.py b/examples/conways_game_of_life_fast/model.py
index 40499b64..67535ec5 100644
--- a/examples/conways_game_of_life_fast/model.py
+++ b/examples/conways_game_of_life_fast/model.py
@@ -7,7 +7,7 @@
 
 # fmt: off
 class GameOfLifeModel(Model):
-    def __init__(self, width=10, height=10, alive_fraction=0.2):
+    def __init__(self, width=10, height=10, alive_fraction=0.2, randomize_new_cells=0.05):
         super().__init__()
         # Initialize the property layer for cell states
         self.cell_layer = PropertyLayer("cells", width, height, False, dtype=bool)
@@ -18,6 +18,8 @@ def __init__(self, width=10, height=10, alive_fraction=0.2):
         self.cells = width * height
         self.alive_count = 0
         self.alive_fraction = 0
+        self.randomize_new_cells = randomize_new_cells
+
         self.datacollector = DataCollector(
             model_reporters={"Cells alive": "alive_count",
                              "Fraction alive": "alive_fraction"}
@@ -25,27 +27,31 @@ def __init__(self, width=10, height=10, alive_fraction=0.2):
         self.datacollector.collect(self)
 
     def step(self):
-        # Define a kernel for counting neighbors. The kernel has 1s around the center cell (which is 0).
-        # This setup allows us to count the live neighbors of each cell when we apply convolution.
+        # Define a kernel for counting neighbors
         kernel = np.array([[1, 1, 1],
                            [1, 0, 1],
                            [1, 1, 1]])
 
-        # Count neighbors using convolution.
-        # convolve2d applies the kernel to each cell of the grid, summing up the values of neighbors.
-        # boundary="wrap" ensures that the grid wraps around, simulating a toroidal surface.
+        # Count neighbors using convolution
         neighbor_count = convolve2d(self.cell_layer.data, kernel, mode="same", boundary="wrap")
 
-        # Apply Game of Life rules:
-        # 1. A live cell with 2 or 3 live neighbors survives, otherwise it dies.
-        # 2. A dead cell with exactly 3 live neighbors becomes alive.
-        # These rules are implemented using logical operations on the grid.
+        """ Changing the behavior of cells so that they can "die from overpopulation"
+        if there are more than 4 living neighbors around them. """
+
+        # Apply Game of Life rules with overpopulation death:
+        # 1. A live cell with 2 or 3 live neighbors survives.
+        # 2. A live cell with more than 4 neighbors dies (overpopulation).
+        # 3. A dead cell with exactly 3 live neighbors becomes alive.
         self.cell_layer.data = np.logical_or(
-            np.logical_and(self.cell_layer.data, np.logical_or(neighbor_count == 2, neighbor_count == 3)),
-            # Rule for live cells
-            np.logical_and(~self.cell_layer.data, neighbor_count == 3)  # Rule for dead cells
+            np.logical_and(self.cell_layer.data, np.logical_and(neighbor_count >= 2, neighbor_count <= 3)),
+            np.logical_and(~self.cell_layer.data, neighbor_count == 3)
         )
 
+        # Оживлення нових клітин за ймовірністю randomize_new_cells
+        if np.random.random() < self.randomize_new_cells:
+            random_positions = np.random.choice([True, False], size=self.cell_layer.data.shape, p=[0.05, 0.95])
+            self.cell_layer.data = np.logical_or(self.cell_layer.data, random_positions)
+
         # Metrics
         self.alive_count = np.sum(self.cell_layer.data)
         self.alive_fraction = self.alive_count / self.cells
diff --git a/examples/conways_game_of_life_fast/model_run.py b/examples/conways_game_of_life_fast/model_run.py
new file mode 100644
index 00000000..a3a70131
--- /dev/null
+++ b/examples/conways_game_of_life_fast/model_run.py
@@ -0,0 +1,5 @@
+from model import GameOfLifeModel
+
+model = GameOfLifeModel(width=10, height=10, alive_fraction=0.2)
+for i in range(10):
+    model.step()