Cancer model and its possible control-A Z-type control approach.

This paper investigates the dynamics of a three-dimensional nonlinear cancer model involving interactions among cancer cells, normal cells, and immune cells. By performing a linear stability analysis of the equilibria and investigating the Hopf bifurcation in relation to the immune cell growth rate, we reveal the possibility of chaotic behavior when radiation is absent. However, with the appropriate implementation of radiotherapy, the cancer model demonstrates stable solutions, transitioning from chaotic oscillations through period-halving bifurcation.

Dynamics of a stage-structured predator-prey model: cost and benefit of fear-induced group defense.

In the predator-prey system, predators can affect the prey population (1) by direct killing and (2) by inducing predation fear, which ultimately force preys to adopt some anti-predator strategies. However, the anti-predator strategy is not the same for all individual preys of different life stages. Also, anti-predator behavior has both cost and benefit, but most of the mathematical models observed the dynamics by incorporating its cost only.

Disease control through removal of population using Z-control approach.

Present study considers the situation where the removal of population is adopted as a prevention measure for isolating the susceptible population from an infected region to reduce the disease prevalence. To investigate the scenario, a dynamic error based method, Z-type control is applied in an SI type disease model with the aim of achieving a predetermined disease prevalence. The controlled system is designed by introducing a new compartment (the population in an infection-free region) in the uncontrolled system to capture the removal of susceptible population from the infected region to an infection free region.

Chaos in a nonautonomous eco-epidemiological model with delay.

In this paper, we propose and analyze a nonautonomous predator-prey model with disease in prey, and a discrete time delay for the incubation period in disease transmission. Employing the theory of differential inequalities, we find sufficient conditions for the permanence of the system. Further, we use Lyapunov's functional method to obtain sufficient conditions for global asymptotic stability of the system.

Transmission dynamics and optimal control of stage-structured HLB model.

Citrus Huanglongbing (HLB) is one of severe quarantine diseases affecting citrus pro-duction both in abroad and domestic. Based on the mechanism and characteristics of citrus HLB transmission, we establish a vector-borne model with stage structure and integrated strategy and inves-tigate the effect of the strategy in controlling the spread of HLB. By calculating, we obtain the basic reproductive number R, and prove that the disease can be eradicated if R < 1, whereas the disease will persist if R > 1.

Fear effect in prey and hunting cooperation among predators in a Leslie-Gower model.

The predation strategy for predators and the avoidance strategy of prey are important topics in ecology and evolutionary biology. Both prey and predators adjust their behaviours in order to gain the maximal benefits and to increase their biomass for each. In the present paper, we consider a modified Leslie-Gower predator-prey model where predators cooperate during hunting and due to fear of predation risk, prey populations show anti-predator behaviour.

Backward bifurcation, oscillations and chaos in an eco-epidemiological model with fear effect.

This paper considers an eco-epidemiological model with disease in the prey population. The disease in the prey divides the total prey population into two subclasses, susceptible prey and infected prey. The model also incorporates fear of predator that reduces the growth rate of the prey population.

A simple SI-type model for HIV/AIDS with media and self-imposed psychological fear.

Infectious diseases can have a large impact on society, as they cause morbidity, mortality, unemployment, inequality and other adverse effects. Mathematical models are invaluable tools in understanding and describing disease dynamics with preventive measures for controlling the disease. The roles of media coverage and behavioral changes due to externally imposed factors on the disease dynamics are well studied.

Chaos control via feeding switching in an omnivory system.

Tanabe and Namba (Ecology, 86, 3411-3414) studied a three species Lotka-Volterra model with omnivory and explored that omnivory can create chaos. It is well documented that predator switching is a similar biological phenomenon to omnivory and likely to occur simultaneously. In the present paper, the tri-trophic Lotka-Volterra food web model with omnivory and predator switching is re-investigated.

A delayed eco-epidemiological system with infected prey and predator subject to the weak Allee effect.

We consider a system of delay differential equations to represent predator-prey eco-epidemic dynamics with weak Allee effect in the growth of predator population. The basic aim of the paper is to observe the dynamics of such system under the influence of gestation delay of predator and Allee parameter. We analyze essential mathematical features of the proposed model such as uniform persistence, stability and Hopf-bifurcation at the interior equilibrium point of the system.

The effect of nanoparticles on plankton dynamics: a mathematical model.

A simple modification of the Rosenzweig-MacArthur predator (zooplankton)-prey (phytoplankton) model with the interference of the predators by adding the effect of nanoparticles is proposed and analyzed. It is assumed that the effect of these particles has a potential to reduce the maximum physiological per-capita growth rate of the prey. The dynamics of nanoparticles is assumed to follow a simple Lotka-Volterra uptake term.

How posttranslational modification of nitrogenase is circumvented in Rhodopseudomonas palustris strains that produce hydrogen gas constitutively.

Nitrogenase catalyzes the conversion of dinitrogen gas (N(2)) and protons to ammonia and hydrogen gas (H(2)). This is a catalytically difficult reaction that requires large amounts of ATP and reducing power. Thus, nitrogenase is not normally expressed or active in bacteria grown with a readily utilized nitrogen source like ammonium.

A stability-indicating liquid chromatographic method for Lomustine.

A simple, inexpensive and rapid liquid chromatography (LC) method has been developed for the quantitative determination of Lomustine, an chemotherapy drug. Degradation studies were performed on the bulk drug by heating to 60 °C, exposure to UV light at an energy of 200 Wh/m(2)and to visible light at an illumination of not less than 1.2 million lux hours, acid (0.

Investigative mining of sequence data for novel enzymes: a case study with nitrilases.

Mining sequence data is increasingly important for biocatalysis research. However, when relying on sequence data alone, prediction of the reaction catalyzed by a specific protein sequence is often elusive, and substrate specificity is far from trivial. The present study demonstrated an approach of combining sequence data and structures from distant homologs to target identification of new nitrilases that specifically utilize hindered nitrile substrates like mandelonitrile.

Functional genomic analysis of three nitrogenase isozymes in the photosynthetic bacterium Rhodopseudomonas palustris.

The photosynthetic bacterium Rhodopseudomonas palustris is one of just a few prokaryotes described so far that has vnf and anf genes for alternative vanadium cofactor (V) and iron cofactor (Fe) nitrogenases in addition to nif genes for a molybdenum cofactor (Mo) nitrogenase. Transcriptome data indicated that the 32 genes in the nif gene cluster, but not the anf or vnf genes, were induced in wild-type and Mo nitrogenase-expressing strains grown under nitrogen-fixing conditions in Mo-containing medium. Strains that were unable to express a functional Mo nitrogenase due to mutations in Mo nitrogenase structural genes synthesized functional V and Fe nitrogenases and expressed vnf and anf genes in nitrogen-fixing growth media that contained Mo and V at concentrations far in excess of those that repress alternative nitrogenase gene expression in other bacteria.

Use of the Rhodopseudomonas palustris genome sequence to identify a single amino acid that contributes to the activity of a coenzyme A ligase with chlorinated substrates.

Rhodopseudomonas palustris strain RCB100 degrades 3-chlorobenzoate (3-CBA) anaerobically. We purified from this strain a coenzyme A ligase that is active with 3-CBA and determined its N-terminal amino acid sequence to be identical to that of a cyclohexanecarboxylate-CoA ligase encoded by aliA from the R. palustris strain (CGA009) that has been sequenced.

The role of the central nucleus of the amygdala in nociception and aversion.

The role of the central nucleus of the amygdala in nociception--conditioned and unconditioned aversion--was studied. Rats received microinjection of vehicle or the N-type Ca2+ channel blocker omega-conotoxin GVIA (0.2 microg/250 nl) into the central amygdaloid nucleus prior to intra-plantar injection of formalin, ultrasound exposure or immediately prior to the acquisition phase of an aversive conditioning trial.

Chemotaxis of a Ralstonia sp. SJ98 toward co-metabolizable nitroaromatic compounds.

We have earlier reported chemotaxis of a Gram-negative, motile Ralstonia sp. SJ98 towards p-nitrophenol (PNP), 4-nitrocatechol (NC), o-nitrobenzoate (ONB), p-nitrobenzoate (PNB), and 3-methyl-4-nitrophenol (MNP) that also served as sole source of carbon and energy to the strain [S.K.

Polycyclic aromatic hydrocarbons: environmental pollution and bioremediation.

Polycyclic aromatic hydrocarbons (PAHs) are widely distributed and relocated in the environment as a result of the incomplete combustion of organic matter. Many PAHs and their epoxides are highly toxic, mutagenic and/or carcinogenic to microorganisms as well as to higher systems including humans. Although various physicochemical methods have been used to remove these compounds from our environment, they have many limitations.