The
mechanical properties of proteins are highly diverse and are often central to their biological function, as in the case of proteins like
keratin and
collagen. For instance, the ability of
muscle tissue to continually expand and contract is directly tied to the elastic properties of their underlying protein makeup. Beyond fibrous proteins, the conformational dynamics of
enzymes and the structure of
biological membranes, among other biological functions, are governed by the mechanical properties of the proteins. Outside of their biological context, the unique mechanical properties of many proteins, along with their relative sustainability when compared to
synthetic polymers, have made them desirable targets for next-generation materials design.
Young's modulus,
E, is calculated as the axial stress
σ over the resulting strain
ε. It is a measure of the relative
stiffness of a material. In the context of proteins, this stiffness often directly correlates to biological function. For example,
collagen, found in
connective tissue,
bones, and
cartilage, and
keratin, found in nails, claws, and hair, have observed stiffnesses that are several orders of magnitude higher than that of
elastin, which is thought to give elasticity to structures such as
blood vessels,
pulmonary tissue, and
bladder tissue, among others. In comparison to this,
globular proteins, such as
Bovine Serum Albumin, which float relatively freely in the
cytosol and often function as enzymes (and thus undergoing frequent conformational changes) have comparably much lower Young's moduli. The Young's modulus of a single protein can be found through
molecular dynamics simulation. Using either atomistic force-fields, such as
CHARMM or
GROMOS, or coarse-grained forcefields like Martini, a single protein molecule can be stretched by a uniaxial force while the resulting extension is recorded in order to calculate the strain. Experimentally, methods such as
atomic force microscopy can be used to obtain similar data. The internal dynamics of proteins involve subtle elastic and plastic deformations induced by
viscoelastic forces, which can be probed by nano-
rheology techniques. At the macroscopic level, the Young's modulus of cross-linked protein networks can be obtained through more traditional
mechanical testing. Experimentally observed values for a few proteins can be seen below. \eta = \exp\left[ \frac{c}{\alpha-\beta\ c}\left(-B +D T + \frac{\Delta E}{R T}\right)\right] where
c is the concentration,
T is the temperature,
R is the
gas constant, and α, β,
B,
D, and Δ
E are all material-based property constants. This equation has the form of an
Arrhenius equation, assigning viscosity an exponential dependence on temperature and concentration. --> == See also ==