Store and retrieve a multidimensional array using php and mysql

I have a multidimensional array in PHP like this:

$array = array(
    "Part1" => array(
        "Subpart1" => array(0, 1),
        "Subpart2" => array(1, 0)
    ),
    "Part2" => array(0),
    "Part3" => array(0, 1, 0)
);

Now I want to store this array in a MySQL table and retrieve it exactly like this again on another PHP page.

I've been trying using serialize() and unserialize()

$array= serialize($array);

and then on the other page

$array= $row['Array'];
$array2 = array();
$array2 = unserialize($array);

But I seem to do something wrong, in the beginning I got a var_dump of bool(false) and now I get a var_dump of NULL.