Disable DataGrid Hyperlink on row basis

I display all the users of an application in a asp.net DATAGRID (.NET 1.1Framework)
I have an edit option as a HyperlinkColumn in the dataGrid where they can edit a record.

Now I want to retrict the edit functionality according the NT login.
For eg : I can edit my record but not others. I can view other records only.
How can i restrict that edit functionality in the datagrid. Can the Edit Hyperlink be disabled
for other users allowing me only to edit my record.  

here is my datagrid with edit Hyperlink

<TD><asp:datagrid id="Grid1" runat="server"
AllowPaging="True"
PageSize="5" PagerStyle-Mode="NextPrev" PagerStyle-NextPageText="Next ->" PagerStyle-PrevPageText="<- Previous"
OnPageIndexChanged="Grid1_ChangePage">
                                         
<Columns>
<asp:BoundColumn DataField="Name" HeaderText="Member Name">
<ItemStyle Wrap="False"></ItemStyle>
</asp:BoundColumn>
<asp:BoundColumn DataField="Project" HeaderText="Project Name"></asp:BoundColumn>
<asp:BoundColumn DataField="Description" HeaderText="Project Status Description"></asp:BoundColumn>
<asp:HyperLinkColumn Text="Edit" DataNavigateUrlField="History_ID" DataNavigateUrlFormatString="http://localhost/Test/AddRecord.aspx?HistoryID={0}">
<ItemStyle HorizontalAlign="Center" Width="10%"></ItemStyle>
</asp:HyperLinkColumn>
</Columns>
<PagerStyle NextPageText="Next -&gt;" Font-Bold="True" PrevPageText="&lt;- Previous" HorizontalAlign="Center"
ForeColor="#ffffff" BackColor="#1B497D"></PagerStyle>
</asp:datagrid>