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Hi,
I'm trying to measure force displacement data on samples with an elastic modulus of less than 1kPa (a little softer than brain tissue). I was wondering if anyone had any recommendations on probes and cantilevers to use? I'll be using the Catalyst system. Also, how would you recommend adhering the sample to a glass substrate to keep it from moving around and affecting the measurements? My samples will be kept hydrated with PBS during the measurements.
Thanks for your help in advance,
Danielle
Hi Danielle,
An elastic modulus of 1kPa really is very soft. All the papers that I've read measuring moduli in that range report using cantilevers that have been modified with microspheres in the range of several micrometers in diameter. If you start doing some rough calculations you start to see why. A common indentation model is the DMT/Hertz model:
F = (4/3)*E/(1-v^2)*(R^0.5)*(d^1.5)
where:
F=Force, E=Elastic modulus, v= Poisson's ratio, R=Tip radius, d=indentation depth (i.e. deformation)
Just for some quick estimates, assume that v=0.5 (actually it's not usually well known) and let d=R (worst cast- if d>R the model doesn't work).
First let's see what happens when E=1kPa and R=20nm. You find that F would be only 0.7 pN, certainly not practical to measure with AFM. Smaller deformations of course would require even smaller forces.
But if you let R=2000nm and leave E=1kPa, then you get F=7.1nN. That's certainly possible to measure with AFM. Of course we're still assuming that d=R, and you probably don't want to indent your tissue 2000nm. But even if you reduce that to d=100nm, you get F=79.5pN, which is still reasonable. If you want even smaller indentations, then you need to increase the tip radius.
There are some commercial sources of probes already modified with microspheres. It's also not too hard to do yourself. Veeco Probes sells tipless cantilevers (link here) to which you can glue the spheres. I'll post and link a couple documents describing different attachment methods.
Working with tissue samples can be tricky with AFM. Even once attached, they tend to be quite rough. The Catalyst has a lot of Z range, >20um, but it could still be an issue. You also need to consider how well the real indentation situation will approximate the indentation model (a sphere indenting a flat plane). If you are using a larger particle modified tip then you want the sample to be flat over areas larger than the particle.
There are many possibilities for attaching tissue sections to slides, including "tissue adhesives" (Cell-Tak), silane treatments (protocol here), and commercially available slides (several here). It might just take some trial and error to find something that works with your samples.
Regards,
-Ben