diff --git a/pybamm/expression_tree/binary_operators.py b/pybamm/expression_tree/binary_operators.py
index 8c1fa8bc84..af93c71d8d 100644
--- a/pybamm/expression_tree/binary_operators.py
+++ b/pybamm/expression_tree/binary_operators.py
@@ -623,6 +623,10 @@ def _binary_new_copy(self, left, right):
         """See :meth:`pybamm.BinaryOperator._binary_new_copy()`."""
         return pybamm.minimum(left, right)
 
+    def _sympy_operator(self, left, right):
+        """Override :meth:`pybamm.BinaryOperator._sympy_operator`"""
+        return sympy.Min(left, right)
+
 
 class Maximum(BinaryOperator):
     """Returns the greater of two objects."""
@@ -655,6 +659,10 @@ def _binary_new_copy(self, left, right):
         """See :meth:`pybamm.BinaryOperator._binary_new_copy()`."""
         return pybamm.maximum(left, right)
 
+    def _sympy_operator(self, left, right):
+        """Override :meth:`pybamm.BinaryOperator._sympy_operator`"""
+        return sympy.Max(left, right)
+
 
 def simplify_elementwise_binary_broadcasts(left, right):
     left, right = preprocess_binary(left, right)
diff --git a/pybamm/models/full_battery_models/lithium_ion/electrode_soh_half_cell.py b/pybamm/models/full_battery_models/lithium_ion/electrode_soh_half_cell.py
index 82def7c1e5..28612047c0 100644
--- a/pybamm/models/full_battery_models/lithium_ion/electrode_soh_half_cell.py
+++ b/pybamm/models/full_battery_models/lithium_ion/electrode_soh_half_cell.py
@@ -58,7 +58,7 @@ def __init__(self, working_electrode, name="Electrode-specific SOH model"):
         x_100_init = 0.85
         # Make sure x_0 = x_100 - C/C_w > 0
         C_init = param.Q
-        C_init = pybamm.minimum(Cw * x_100_init - 0.1, C_init)
+        C_init = pybamm.minimum(Cw * x_100_init, C_init)
         self.initial_conditions = {x_100: x_100_init, C: C_init}
 
         self.variables = {