A lack of mechanistic understanding of kinetic phenomena in chemical process systems is still the major bottleneck for a more widespread application of model-based techniques in process design, operations and control. Kinetic phenomena are becoming of increasing importance given the rapidly developing capabilities for the numerical treatment of more complex – typically distributed parameter – m...

We present a simple method for estimating kinetic parameters from progress curve analysis of biologically catalyzed reactions that reduce to forms analogous to the Michaelis-Menten equation. Specifically, the Lambert W function is used to obtain explicit, closed-form solutions to differential rate expressions that describe the dynamics of substrate depletion. The explicit nature of the new solu...

The Drosophila circadian oscillator shows a robust property to environmental changes, internal variations, and fluctuations, where two interlocked negative feedback loops play a major role for oscillation [1, 2]. The PER-TIM loop is activated by dCLK-CYC and repressed by PER-TIM, whereas the dCLK loop is repressed by dCLK-CYC and activated by PER-TIM. Not only the molecular architecture, but al...

BACKGROUND Compared with static imaging, dynamic emission computed tomographic imaging with compartment modeling can quantify in vivo physiologic processes, providing useful information about molecular disease processes. Dynamic imaging involves estimation of kinetic rate parameters. For multi-compartment models, kinetic parameter estimation can be computationally demanding and problematic with...

Systems biology seeks to model biological networks dynamically. Two requirements need to be fulfilled for this to be possible. First, the interaction networks need to be known. Second, the dynamics of the interactions have to be revealed. Dynamics of interactions are described by rate laws using kinetics. These kinetics describe the interaction mechanism. For each single interaction occurring i...

For a pure material, the dynamics of the growth of one phase in a supercooled other phase for the case of a shallow temperature quench is traditionally understood via a kinetic thermal diffusion equation model or a quasistatic Laplace equation model, if order-parameter details can be neglected. In the quasistatic model, the interfacial boundary temperature T(R) is equal to the phase transition ...

We introduce a family of vector kinetic BGK equations leading to isentropic gas dynamics in the relaxation limit, that have only one en-tropy at the kinetic level. These models possess the generic structure of kinetic relaxation models. By a sharp adaptation of averaging lemmas to BGK models that have a dissipative entropy, we establish an estimate in the inverse of the square root of the relax...

The uncertainties inherent to experimental differential scanning calorimetric data are evaluated. A new procedure is developed to perform the kinetic analysis of continuous heating calorimetric data when the heat capacity of the sample changes during the crystallization. The accuracy of isothermal calorimetric data is analyzed in terms of the peak-to-peak noise of the calorimetric signal and ba...

We consider a Ginzburg-Landau energy for two dimensional divergence free fields appearing in the gradient theory of phase transition for instance. We prove that, as the relaxation parameter vanishes, families of such fields with finite energy are compact in L p(). Our proof is based on a kinetic interpretation of the entropies which were introduced by Desimone, Kohn, Müller and Otto. The so-ca...