The following shows how to bind PrimitiveInfoBase properties of ticks in order to set their color, thickness, etc.
<Window x:Class="WpfApplication56.MainWindow"
xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation"
xmlns:x="http://schemas.microsoft.com/winfx/2006/xaml"
xmlns:xctk="http://schemas.xceed.com/wpf/xaml/toolkit"
Title="MainWindow" Height="350" Width="525">
<Window.Resources>
<DataTemplate x:Key="TickTemplateX">
<Canvas Width="{Binding Path=W}" Height="{Binding Path=H}">
<Line X1="{Binding Path=XStart}" Y1="{Binding Path=YStart}" X2="{Binding Path=XEnd}" Y2="{Binding Path=YEnd}" StrokeThickness="5" Stroke="Red"/>
</Canvas>
</DataTemplate>
<DataTemplate x:Key="TickTemplateY">
<Canvas Width="{Binding Path=W}" Height="{Binding Path=H}">
<Line X1="{Binding Path=XStart}" Y1="{Binding Path=YStart}" X2="{Binding Path=XEnd}" Y2="{Binding Path=YEnd}" StrokeThickness="5" Stroke="Green"/>
</Canvas>
</DataTemplate>
</Window.Resources>
<Grid>
<xctk:Chart>
<xctk:Chart.Areas>
<xctk:Area x:Name="_area1" Title="Area #1" >
<xctk:Area.XAxis>
<xctk:Axis ShowTickLabels="True" TickTemplate="{StaticResource TickTemplateX}" />
</xctk:Area.XAxis>
<xctk:Area.YAxis>
<xctk:Axis ShowTickLabels="True" TickTemplate="{StaticResource TickTemplateY}"/>
</xctk:Area.YAxis>
<xctk:Area.Series>
<xctk:Series x:Name="_series1">
<xctk:Series.Layout>
<xctk:LineLayout />
</xctk:Series.Layout>
<xctk:Series.DataPoints>
<xctk:DataPoint X="1" Y="1" Label="Oct" />
<xctk:DataPoint X="2" Y="2" Label="Jan"/>
<xctk:DataPoint X="2.5" Y="1.5" Label="Feb" />
<xctk:DataPoint X="4" Y="1" Label="Jun"/>
<xctk:DataPoint X="1.5" Y="3" Label="Dec"/>
<xctk:DataPoint X="5" Y="5" Label="Apr"/>
<xctk:DataPoint X="3" Y="1" Label="Nov"/>
<xctk:DataPoint X="4.5" Y="7" Label="Jul"/>
<xctk:DataPoint X="3.5" Y="4.5" Label="Aug"/>
</xctk:Series.DataPoints>
</xctk:Series>
</xctk:Area.Series>
</xctk:Area>
</xctk:Chart.Areas>
</xctk:Chart>
</Grid>
</Window>
Target Platforms: Windows 11, Windows 10, Windows 7, Windows Vista SP1 or later, Windows XP SP3, Windows Server 2008 (Server Core not supported), Windows Server 2008 R2 (Server Core supported with SP1 or later), Windows Server 2003 SP2