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David H. Kohn is a biomedical engineer whose research connects biomineralization, biomaterials and biomechanics. His University of Michigan profile describes two related questions: how the organization of mineralized tissue produces its mechanical behavior, and how understanding natural material formation can inform engineered biomaterials. This is an example of biomimetics: learning design principles from biological structures rather than merely copying their chemical ingredients.^[ref]

His joint work with M. D. Morris, W. F. Finney and Rupak M. Rajachar used Raman spectroscopy to investigate bone during elastic deformation. Their custom mechanical tester fitted the stage of a Raman microprobe and accepted hydrated specimens. The experiment paired loading of murine femora in tension with measurements of mineral phosphate-band shifts, while keeping loading below yield.^[ref] The combination asks how a local molecular response accompanies the deformation of an entire composite material.

An original idealized calculation explains why the two measurements are complementary. For a harmonic oscillator with effective bond force constant $k$ and reduced mass $\mu$, the vibrational wavenumber iswhere $c$ is the speed of light. Holding $\mu$ fixed gives the first-order relation $\Delta \tilde{\nu }/\tilde{\nu }\simeq \frac{1}{2}\Delta k/k$. A hypothetical band moving from $1000$ to $998\mathrm{c}{\mathrm{m}}^{-1}$ would correspond to approximately a $0.4\%$ decrease in this model's effective bond force constant. This Raman shift as a probe of bond stiffness is a local vibration model; the chosen numbers are not measurements from Kohn's paper.

A specimen's Young's modulus instead relates its macroscopic stress to its strain in a specified loading direction and regime. It cannot be read directly from one vibrational wavenumber. Composite material geometry, phase interactions and orientation mediate the connection between a local bond force constant and a bulk elastic modulus. Even a large local spectral response need not imply an equally large change in bulk stiffness.

This distinction gives the experiment its interest: a tensile testing apparatus and a spectroscopic probe observe different levels of the same loaded material. Their agreement or disagreement can discriminate structural explanations that a single bulk measurement would leave unresolved. Repeating both measurements during unloading would additionally test whether the changes reverse. Kohn's institutional description places this multiscale mechanics question alongside the development of new biomaterials.^[ref]

Official Bioengineering profile. Education lists University of Michigan degrees: BS in Materials Science and Engineering (1994), MS and PhD in Biomedical Engineering (2003), followed by a University of Washington postdoctoral fellowship (2006). Research Interests includes biomaterials, cell/tissue mechanics and device design; the profile supplies the external portrait used in Rupak M. Rajachar.