ABSTRACT Cellular contraction is often accompanied by oscillatory motion of several Hz. Accurate force measurement using Polydimethylsiloxane (PDMS) micropillar based bio-transducers calls for the appropriate material characterization of PDMS in the frequency domain. In this work, the complex modulus of PDMS was measured using a dynamic nanoindentation technique. An improved method was develope...

We present a new polar representation of quaternions inspired by the Cayley-Dickson representation. In this new polar representation, a quaternion is represented by a pair of complex numbers as in the Cayley-Dickson form, but here these two complex numbers are a complex ‘modulus’ and a complex ‘argument’. As in the Cayley-Dickson form, the two complex numbers are in the same complex plane (usin...