Examining enzyme kinetics is critical for understanding cellular systems and for using enzymes in industry. The Michaelis-Menten equation has been widely used for over a century to estimate the enzyme kinetic parameters from reaction progress curves of s
In that single formula must be contained all the details, for example, about the solidification of gas, or the forms of the crystals that the solid can take, and people have been trying to squeeze it out, but the mathematical difficulties are very great, not in writing the law, but in ...
physiological argument is beset by physical and mathematical errors [see Supplementary Discussion1and ref.19]. Recently, and as an alternative to a supposed power limit, it was suggested that muscle may be prevented from delivering its maximum work capacity because it cannot contract faster than wit...
Rate constants for the reaction N + O$_{2}$($^{1}\\\Delta _{g}$) $ightarrow $ $^{k_{1}}$ NO + O (1) have been measured at four temperatures, and fitted to... I.,D.,Clark,... - 《Proceedings of the Royal Society A Mathematical Physical & Engineering Sciences》 被引...
The Landau equation turns out to be an effective equation and has been widely used as a fundamental model in plasma physics. But rigorous mathematical analysis on the limit appeared much later until the 1990s. The first rigorous result was obtained by Desvillettes. Roughly speaking, Desvillettes...
Theoretical or Mathematical/ heliumnitrogennumerical analysisplasma collision processesplasma kinetic theoryplasma simulation/ kinetic equationelectron kineticsdense gasesstrong electric fieldsforward-backward approximationA method for calculating the electron kinetics in dense gases in strong electric fields is ...
The flux of element A from species j to species k through reaction step i can be calculated5 using the following equation: (1)Aijk=nA,jnA,kriNA,i where nA,j and nA,k are the number of atoms A in species j and k, respectively, and NA,i is the sum of the number of atoms A ...
We employed repeated-ring kinetic theory incorporating the equilibrium correlations in a dense fluid to study Brownian motion. It is demonstrated that the theory predicts the Stokes-Einstein law relating the diffusion coefficient of a Brownian particle to its radius and the fluid shear viscosity. In...
length 1 (atomic units), and the Schrödinger equation for one electron was solved extremely precisely. Up to 200 cases were used to train an ML model\(T_{\rm{s}}^{{\rm{ML}}}[n]\)for the non-interacting kinetic energy functionalTs[n] via KRR (for details, see Supplementary ...
Let us express the previously mentioned fundamental principles of Stochastic Optimal Control Theory of quantum mechanics in mathematical terms. The stochastic equation of motion of the Brownian particle24 is: $$\begin{aligned}dx_\mu =u_\mu ds+ \sigma _\mu dW_\mu , \quad \mu =0..3, \en...