Lecture 2 Flashcards
How many proteins in an e.coli cell
approx 10^6 proteins
Molecules diffuse
All particles exhibit this random motion. Atoms continually bombarding themselves.
Diffusion
A random walk; result of random motion of molecules.
In 2D, the probability of moving to the right is exactly the same as to the left. Particles spread out over time. On average, they go nowhere. Diffusion broadens the distribution around the original site of particles.
Diffusion time =?
T = x^2 / 6D
x = radius (distance travelled)
D = diffusion coefficient.
Diffusion and entropy
Diffusion maximises entropy.
An isolated system will move towards
the macroscopic state that can occur
in the largest number of microscopic
ways (i.e. has the highest entropy, S).
S = kB ln(W)
Diffusion coefficient
*Viscosity
*Collisions
*Binding
The property of diffusing particle and medium.
Diffusion coefficient for a small globular protein
approx 5nm in diameter, coefficient is approx 10um^2/s.
Guessing diffusion coefficients
If dealing with a large protein or organelle, can make assumptions about being a couple of orders of magnitude larger; the diffusion coefficient would be between 1-2 orders of magnitude smaller; calculate the diffusion time with these two orders of magnitude and that’ll give you a range of time.
Typical protein half life in e.coli cell
Minutes scale
How long will it take a small protein to diffuse
across an E. coli cell?
Milliseconds. Approx 10ms.
Biological structure as a competition between
entropy and enthalpy
==> Gibbs free energy. DG = DH - TDS
–> an interplay between energies of binding (enthalpic terms) and the multiplicity of states associated with the unbound state (an entropic term).
Free energy
∆G = - kBT ln(C/Co)
where Co is the concentration of the reactant at equilibrium
DG < 0: energetically favorable
DG > 0: energetically unfavorable
DG = 0: equilibrium
Changes are additive.
Delta G also depends on reactant concentrations; in low concentration regions, there are many micro states available to diffusing ligands. The higher the concentration, the lower the entropic costs.
Biological systems and equilibrium
Biological systems are not at equilibrium.
FtsZ
FtsZ localises to the division plane prior to division. ==> correlation. (Visualising that under the microscope with fluorescently tagged FtsZ).
FtsZ - necessity
FtsZ is necessary for bacterial cell division - when FtsZ is depleted, cells are growing but not dividing. So, localisation pattern correlates to site of division AND protein is necessary for division.