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A model of single muscle contraction is proposed. The kinetics of two reactions have been used: interaction between the excitation mediator and the muscle membrane receptor, and the reaction of enzymatic mediator splitting. The muscle contraction parameters have been correlated with the concentration of the mediator-receptor complex.
A general kinetic mechanism is presented for reversible binding of viruses to cells followed by an irreversible step that initiates the delivery of the viral genome. A novel feature is additional pathways for the release of both virus-occupied and unoccupied receptors from cells. Due to one simplifying assumption, it does not apply at low receptor densities. However, it is sufficiently general to be applicable to ligand binding and internalization for those systems in which ligand diffusion is rate limiting. Three different versions of the model fit the usual kinetic data for the binding of an eclipse mutant of bacteriophage phi X174 to Escherichia coli. However, in each case binding to cell-bound receptors is irreversible. Therefore, this explains the apparent failure of this system to obey the Law of Mass Action. One version of the model also predicts that the release rate of lipopolysaccharide receptors from the outer membrane may be significantly lowered when virus is bound to these receptors.
A formula based on a first-order kinetic equation is derived to evaluate the rate constant of the B-Z transition of a synthetic double-stranded poly[d(G-m5C)] in terms of the salt concentration, the absolute temperature, and the cooperativity index. The validity of the formula was tested using circular dichroism spectroscopy after variation of the type of salt (NaCl, MgCl2), the salt concentration, and the temperature of the polynucleotide solution. A consequence of the proposed function is that in conditions of high salt there is a predictable salt threshold which determines the particular molecular mechanism of the B-Z transition. The paper also describes the way in which this threshold level is temperature dependent. A detailed comparison of our data with the experimental data found by other authors is given. The function agrees quantitatively with the experiments and explains the contrasting results found in the literature about the influence in the B-Z transition of both the temperature and the polymer size.
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The cardiac pharmacokinetics of digitalis glycosides is not well understood. In the present study, a mechanism-based pharmacokinetic/pharmacodynamic model was developed to describe the uptake kinetics, receptor interaction, and positive inotropic effect of digoxin in the single-pass isolated perfused rat heart. Three doses of digoxin (0.1, 0.2, and 0.3 micromol) were administered to the heart (n = 12) as consecutive 1-min infusions followed by 15-min washout periods. Outflow concentration and left ventricular developed pressure were measured and analyzed by the model. The uptake of digoxin by the heart was limited by capillary permeability with a permeation clearance of 2.35 ml/min/g (about one-third of perfusate flow). Binding kinetics was determined by a mixture of two receptor subtypes, a low-affinity/high-capacity binding site (K(D,1) = 20.9 nmol, 89% of total receptors) and a high-affinity/low-capacity binding site (K(D,2) = 1.5 nmol, 11%). The time course of inotropic response was linked to receptor occupation, with higher efficiency of the high-affinity receptor population. The results suggest that, in the rat heart, consecutive inhibition of first the alpha(2)- and then the alpha(1)-isoform of Na(+)/K(+)-ATPase mediates the positive inotropic effect of digoxin with increasing dosage.
Double strand breaks (DSBs) are widely accepted as the main type of DNA damage responsible for cell killing in the range of doses and dose rates relevant to radiation therapy. Although the standard linear-quadratic (LQ) model with one first-order repair term often suffices to explain the results of some radiobiological experiments, converging lines of evidence suggest that DSBs are rejoined at two or more distinct rates. A two-lesion kinetic (TLK) model has been proposed to provide a direct link between biochemical processing of the DSBs and cell killing. A defining feature of the TLK model is that the family of all possible DSBs is subdivided into simple and complex DSBs, and each kind may have its own unique repair characteristics. Break-ends associated with both kinds of DSB are allowed to interact in pairwise fashion to form irreversible lethal and non-lethal chromosome aberrations. This paper examines the theoretical and practical linkages between the TLK and LQ models. The TLK formalism is used to derive an LQ formula with two first-order repair terms (dose protraction factors) and to relate the intrinsic radiosensitivity parameters used in one model to the parameters used in the other. Two extensive radiobiological datasets, one for CHO 10B2 cells and one for C3H 10T1/2 cells, are analysed using the TLK and LQ models. The LQ with two repair terms and the TLK are equally capable of explaining the CHO 10B2 and C3H 10T1/2 cell survival data. For the doses and dose rates most relevant to radiation therapy, tests of model equivalence indicate that an LQ formula with two first-order repair terms is an excellent approximation to the TLK model. We find the LQ and TLK models useful complementary tools for the analysis and prediction of radiobiological effects.
Unstructured logistic models were applied to simulate the kinetic process of the SCP batch culture with two species of yeast, in which glucose, xylose, or a mixture of the two were used as carbon sources. A modified logistic growth model was used to describe the fed-batch process of using mixed carbon sources. The model parameters were determined by the simulated model with the experimental data. The simulated curves of the models were in agreement with the experimental data.
The effect of correlations between kinetic parameters of two inducible substrates on allosteric activation of EcoRII endonuclease hydrolysis of one substrate was studied. The pairs of DNA duplexes were constructed that were the substrates of EcoRII restriction endonuclease or their analogs and had different kinetic constants of interaction with the enzyme; the effects of their concentrations on mutual hydrolysis induction were studied. A kinetic mechanism is suggested considering the allosteric effects of two DNA recognition sites on dimeric molecule of EcoRII. Mathematic modeling was used to analyze the kinetic mechanism and evaluate optimal characteristics of the inductor. Thus, activation increases when (i) substrate concentration decreases, (ii) enzyme binding of two inductor or substrate molecules decreases, (iii) binding of one substrate molecule increases versus binding of one inductor molecule, and (iv) kcat of the enzyme-substrate complex including on substrate and one inductor increases.
The model structure established here can be applied to tracer kinetics, pharmacokinetics and to non-equilibrium responses. Furthermore the possible and impossible pathways of metabolism can be determined directly leading to a special model version corresponding to a special kinetic problem.
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In many cases, treatment of wastewaters requires a combination of processes that very often includes biological treatment. Wet oxidation (WO) in combination with biotreatment has been successfully used for the treatment of refractory wastes. Therefore, information about the biodegradability of wastewater solutes and particulates after wet oxidation is very important. The present work proposes a model that can describe the oxidation process via organic concentration characteristics such as chemical oxygen demand (COD), biochemical oxygen demand (BOD), and immediately available BOD (IA BOD) and so can allow the prediction of biodegradability (i.e., BOD/COD ratio). The reaction mechanism includes the destruction of nonbiodegradable substances bytwo pathways: oxidation to carbon dioxide and water and oxidation to larger biodegradable compounds with their further degradation to smaller ones measured via IA BOD. The destruction of small biodegradable compounds to end products is also included in the model. The experiments were performed at different temperatures (170-200 degrees C) and partial oxygen pressures (0.5-1.5 MPa) in a batch stainless steel high-pressure autoclave. The model of concentrated thermomechanical pulp circulation water was selected for the experiments. The proposed model correlates with the experimental data well and it is compared with other WO models in the literature.
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A kinetic theory is formulated for the velocity of a step edge in epitaxial growth. The formulation involves kinetic, mean-field equations for the density of kinks and "edge adatoms" along the step edge. Equilibrium and kinetic steady states, corresponding to zero and nonzero deposition flux, respectively, are derived for a periodic sequence of step edges. The theoretical results are compared to results from kinetic Monte Carlo (KMC) simulations of a simple solid-on-solid model, and excellent agreement is obtained. This theory provides a starting point for modeling the growth of two-dimensional islands in molecular-beam epitaxy through motion of their boundaries, as an alternative to KMC simulations.