Enthalpy–entropy compensation and the isokinetic temperature in enzyme catalysis

Enthalpy–entropy compensation supposes that differences in activation enthalpy ?H ^? for different reactions (or, typically in biochemistry, the same reaction catalysed by enzymes obtained from different species) may be compensated for by differences in activation entropy ?S ^?. At the isokinetic temperature the compensation is exact, so that all samples have the same activity. These ideas have been controversial for several decades, but examples are still frequently reported as evidence of a real phenomenon, nearly all of the reports ignoring or discounting the possibility of a statistical artefact. Even for measurements in pure chemistry artefacts occur often, and they are almost inescapable in enzyme kinetics and other fields that involve biological macromolecules, on account of limited stability and the fact that kinetic equations are normally valid only over a restricted range of temperature. Here I review the current status and correct an error in a recent book chapter.     

Bounded water kinetic model of β-galactosidase in reverse micelles

In the present investigation, -galactosidase was solubilized into Aerosol OT (AOT)/isooctane reverse micelles. Kinetic data for the hydrolysis of o-nitrophenyl--D-galactopyranoside (ONPG) at different pH values and molar ratios of water to AOT (W_o) were collected. It was observed that the usual kinetic model used for -galactosidase catalysis in aqueous systems failed to represent the experimental data. A bounded water model, however, showed a better correlation between enzymatic activity and W_o. In contrast to the aqueous system, controlling the water concentration in the reverse micelles allows the rate constants for the reaction between water molecules and glycosyl-enzyme complexes to be evaluated.     

An inter‐oscillator mechanism modulating circadian clock period in paramecium populations

Abstract

In populations of the ciliate protozoan, Paramecium multimicronucleatum, the circadian‐clock‐con‐trolled mating reaction expressed by a limited number of cells among them feeds back to contribute to coherence of their circadian rhythms of motility and mating reaction. This eventually causes a decrease in the period of the rhythms from the entrained 24h period to a steady‐state period of about 22h, with the rate of decrease depending on the strength of the mating reaction. These results suggest that the interaction among oscillators may be one of the factors which modulate the period of a circadian clock composed of nearly identical oscillators. The clock‐controlled mating reaction provides a promising inter‐oscillator pathway for obtaining more insight into the mechanism of modulation of the period of such circadian clocks through inter‐oscillator interaction.     

A nonlinear kinetic model of γ-aminobutyric acid metabolism in a rabbit model of acute liver failure

To investigate the mechanisms by which serum levels of γ-aminobutyric acid (GABA) become elevated in experimental acute liver failure, a multicompartmental model of GABA metabolism has been constructed and used to simulate previously generated data on the kinetics of ³H-GABA uptake by isolated hepatocytes from normal rats and the kinetics of ³H-GABA in the plasma of normal rabbits, rabbits with galactosamine-induced acute liver failure, and rabbits with divascularized livers. Modeling analysis revealed that acute liver failure was associated with values for the mean fractional catabolic rate of GABA, plasma volume, and hepatic extraction of GABA that were 29%, 12%, and 49% less, respectively, than the corresponding control values. The defect in hepatic tissue extraction of GABA was sufficient to account for only 60% of the 10-fold increase in serum GABA levels that occurs in acute liver failure. Furthermore the 10-fold increase in serum GABA levels occured in acute liver failure before the onset of overt hepatic encephalopathy when hepatic extraction of GABA was not appreciably different from that found in normal rabbits. Thus the increase in serum GABA levels that occurs in acute liver failure cannot be attributed to a defect in hepatic extraction of GABA alone. Indeed, the modeling analysis indicated that in acute liver failure there is a 3—8-fold increase in the rate of delivery of GABA to the systemic circulation, but did not indicate its source.     

A general reaction–diffusion model of acidity in cancer invasion

We model the metabolism and behaviour of a developing cancer tumour in the context of its microenvironment, with the aim of elucidating the consequences of altered energy metabolism. Of particular interest is the Warburg Effect, a widespread preference in tumours for cytosolic glycolysis rather than oxidative phosphorylation for glucose breakdown, as yet incompletely understood. We examine a candidate explanation for the prevalence of the Warburg Effect in tumours, the acid-mediated invasion hypothesis, by generalising a canonical non-linear reaction–diffusion model of acid-mediated tumour invasion to consider additional biological features of potential importance. We apply both numerical methods and a non-standard asymptotic analysis in a travelling wave framework to obtain an explicit understanding of the range of tumour behaviours produced by the model and how fundamental parameters govern the speed and shape of invading tumour waves. Comparison with conclusions drawn under the original system—a special case of our generalised system—allows us to comment on the structural stability and predictive power of the modelling framework.     

Relationship between sleep stages and short‐term changes in rectal temperature in humans

Abstract

Sixteen volunteers have been studied during 3–4 control nights and eight of these subjects again during four successive sleeps on 30‐h “days”;. The experiments took place in a comfortable environment provided by an isolation chamber. Rectal temperature and the sleep EEG were measured throughout. The relationship between sleep stages, particularly SWS and REM sleep, and short‐term changes in rectal temperature has been investigated during both protocols. Care was taken to correct for or remove those temperature changes that could be attributed to circadian rhythmicity or the effects of loss of masking due to being awake. Results showed that there was a small but significant effect of sleep stages, with SWS producing a fall and REM sleep a rise in rectal temperature after a delay of about 30–48 minutes. It is concluded that such spontaneous changes in sleeping subjects accord with the results of other studies which indicate that thermoregulatory reflexes to hot or cold stimuli alter in different sleep stages.     

The reactivity of affinity labels: A kinetic study of the reaction of alkyl halides with thiolate anions—a model reaction for protein alkylation

Factors have been investigated which govern the electrophilic reactivity of alkyl halides with thiolate anions in aqueous solution. In the series of alkyl halides studied, some are potential metal-directed affinity labels, while others are frequently used in protein modification. Previous data on the kinetics of this type of alkylation are compared with the present results. The influence of electronic, polar, and steric factors on alkyl halide reactivity is seen. The following order of reactivity for alkyl halides bearing different α substituents was observed: RCH₂CH(X)COOCH₃ > RCH₂CH(X)CONH₂ > RCH₂CH(X)COOH > RCH₂CH₂X > RCH₂CH(X)CH₂OH. The metal-directed affinity labels are imidazole derivatives, some of which have substituents in their imidazole ring. The effect of the imidazole ring and of ring substitution on reactivity is seen. The nucleophilic reactivity of thiols is highly pH dependent since the thiolate anion (RS^?) is the reactive species, but only minor differences emerged between different free thiolates.     

A reaction–diffusion malaria model with incubation period in the vector population

Malaria is one of the most important parasitic infections in humans and more than two billion people are at risk every year. To understand how the spatial heterogeneity and extrinsic incubation period (EIP) of the parasite within the mosquito affect the dynamics of malaria epidemiology, we propose a nonlocal and time-delayed reaction–diffusion model. We then define the basic reproduction ratio R₀{\mathcal{R}_0} and show that R₀{\mathcal{R}_0} serves as a threshold parameter that predicts whether malaria will spread. Furthermore, a sufficient condition is obtained to guarantee that the disease will stabilize at a positive steady state eventually in the case where all the parameters are spatially independent. Numerically, we show that the use of the spatially averaged system may highly underestimate the malaria risk. The spatially heterogeneous framework in this paper can be used to design the spatial allocation of control resources.     

Spatial distribution of microalgae in marine systems: A reaction–diffusion model

In this paper, we have proposed a reaction–diffusion system of partial differential equations which model the plankton-nutrient interaction mediated by a toxin-determined functional response. It has been established that microalgae, a clean and green source of energy, can be potentially used for carbon capture and sequestration. The common biofuels (bio-diesel and ethanol) are efficiently extracted from microalgae of different shapes and sizes. A spatio-temporal model has been presented to guide exploration and harvesting of microalgae (e.g., dinoflagellates, cilliates, chlorella, etc.). The spatial distribution of the phytoplankton (microalgae) is determined by growth pattern of the biotic subsystem (phytoplankton and zooplankton); e.g., whether it is oscillatory or aperiodic. The model incorporates a toxin-determined functional response of the zooplankton, which can be parametrized for specific phytoplankton–zooplankton combinations in different aquatic bodies such as ponds, seas, and oceans. The present model does not take into account higher zooplankton’s role in maintaining the core subsystem. The temporal model is analytically investigated in terms of the existence criteria and stability analysis (both linear and nonlinear) of the possible equilibria and the spatio-temporal model is studied in terms of global stability, Turing instability and existence of Hopf-bifurcation which help us to explore the dynamical behavior of the spatial model system. Numerical simulations are carried out to support the obtained theoretical results. Simulation experiments and computed densities thereof (equal densities are codes by same color) suggest that the spatial distribution of microalgae is complex; e.g., spatial density of microalgae varies chaotically for certain parameter sets. Harvesting schedule can be designed based on information thus derived. It should be implemented carefully in case the spatial density distribution is chaotic.The sustainability of the marine system for future use has been the prime concern. Parameters of harvesting strategy (time, intensity and technology) are determined in such a way that exploitation causes minimal damage to the environment and the yield of the harvest is maximal. Future studies would consider larger carnivorous fishes (e.g., Squids, Dolphins) on system’s dynamics. The effect of oceanic noise and colloidal swarming of zooplankton in the presence of bacteria will also be incorporated.     

Room temperature photooxidation of β-carotene and peripheral chlorophyll in photosystem II reaction centre

Differential kinetic absorption spectra were measured during actinic illumination of photosystem II reaction centres and core complexes in the presence of electron acceptors silicomolybdate and ferricyanide. The spectra of samples with ferricyanide differ from those with both ferricyanide and silicomolybdate. Near-infrared spectra show temporary beta-carotene and peripheral chlorophyll oxidation during room temperature actinic illumination. Peripheral chlorophyll is photooxidized even after decay of beta-carotene oxidation activity and significant reduction of beta-carotene content in both reaction centres and photosystem II core complexes. Besides, new carotenoid cation is observed after about 1 s of actinic illumination in the reaction centres when silicomolybdate is present. Similar result was observed in PSII core complexes. HPLC analyses of illuminated reaction centres reveal several novel carotenoids, whereas no new carotenoid species were observed in HPLC of illuminated core complexes. Our data support the proposal that pigments of inner antenna are a sink of cations originating in the photosystem II reaction centre.     

Optimal control of vaccination in a vector-borne reaction–diffusion model applied to Zika virus

Journal of Mathematical Biology - Zika virus has acquired worldwide concern after a recent outbreak in Latin America that started in Brazil, with associated neurological conditions such as...     

The 1.8 Å cholix toxin crystal structure in complex with NAD+ and evidence for a new kinetic model

Certain Vibrio cholerae strains produce cholix, a potent protein toxin that has diphthamide-specific ADP-ribosyltransferase activity against eukaryotic elongation factor 2. Here we present a 1.8 Å crystal structure of cholix in complex with its natural substrate, nicotinamide adenine dinucleotide (NAD⁺). We also substituted hallmark catalytic residues by site-directed mutagenesis and analyzed both NAD⁺ binding and ADP-ribosyltransferase activity using a fluorescence-based assay. These data are the basis for a new kinetic model of cholix toxin activity. Further, the new structural data serve as a reference for continuing inhibitor development for this toxin class.