F1-ATPase is a rotary motor made of a single protein molecule. Its rotation is driven by free energy obtained by ATP hydrolysis. In vivo, another motor, Fo, presumably rotates the F1 motor in the reverse direction, reversing also the chemical reaction in F1 to let it synthesize ATP. Here we attempt to answer two related questions, How is free energy obtained by ATP hydrolysis converted to the m...

Many essential functions of living cells are performed by nanoscale protein motors. The best characterized of these is F(o)F1-ATP synthase, the smallest rotary motor. This rotary motor catalyzes the synthesis of ATP with high efficiency under conditions where the reactants (ADP, H2PO4(-)) and the product (ATP) are present in the cell at similar concentrations. We present a detailed structure-ba...

There is now compelling evidence in support of a rotary catalytic mechanism in F1-ATPase, and, by extension, in the intact ATP synthase. Although models have been proposed to explain how protein translocation in F0 results in rotation of the gamma-subunit relative to the alpha 3/beta 3 assembly in F1 [22], these are still speculative. It seems likely that a satisfactory explanation of this mech...

Worker Preferences Firm Preferences w1 : [f1] f2 f3 f4 f5 f6 f7 f8 f1 : [w1] w2 w3 w4 w5 w6 w7 w8 w2 : f1 [f2] f3 f4 f5 f6 f7 f8 f2 : w1 [w2] w3 w4 w5 w6 w7 w8 w3 : f1 f2 [f3] f4 f5 f6 f7 f8 f3 : w1 w2 [w3] w4 w5 w6 w7 w8 w4 : f1 f2 f3 [f4] f5 f6 f7 f8 f4 : w1 w2 w3 [w4] w5 w6 w7 w8 w5 : f1 f2 f3 f4 [f5] f6 f7 f8 f5 : w1 w2 w3 w4 [w5] w6 w7 w8 w6 : f1 f2 f3 f4 f5 [f6] f7 f8 f6 : w1 w2 w3 w4 w5 ...

Lemma A.1 Consider two independent samples of sizes n0 and n1 from continuous distributions F0 and F1 with common support: X0,1, . . . , X0,n0 ∼ i.i.d. F0 and X1,1, . . . , X1,n1 ∼ i.i.d. F1. Let N = n0 + n1. Assume that the support of F0 and F1 is an interval inside [0, 1]. Let f0 and f1 be the densities of F0 and F1, respectively. Suppose that for any x in the supports of F0 and F1, f1(x)/f0(...

We prove a general result on the factorization of matrix-valued analytic functions. We deduce that if (E0, E1) and (F0, F1) are interpolation pairs with dense intersections, then under some conditions on the spaces E0, E1, F0 and F1, we have [E0⊗̂F0, E1⊗̂F1]θ = [E0, E1]θ⊗̂[F0, F1]θ, 0 < θ < 1. We find also conditions on the spaces E0, E1, F0 and F1 , so that the following holds [E0 ∨ ⊗F0, E1 ∨ ⊗F1...

The effect of genotype, sex and hatch on carcass traits and physical characteristics of eggs was investigated in the Japanese quail. Two strains of Japanese quails including the White (P1) and Wild (P2) genotypes were chosen as the parental generation and crossed reciprocally (10 single-pair mating) to create the F1 progeny. The F1 birds (27 males and 81 females) were mated randomly to produce ...