Overview of Mathematical Approaches Used to Model Bacterial Chemotaxis II: Bacterial Populations

We review the application of mathematical modeling to understanding the behavior of populations of chemotactic bacteria. The application of continuum mathematical models, in particular generalized Keller–Segel models, is discussed along with attempts to incorporate the microscale (individual) behavior on the macroscale, modeling the interaction between different species of bacteria, the interaction of bacteria with their environment, and methods used to obtain experimentally verified parameter values. We allude briefly to the role of modeling pattern formation in understanding collective behavior within bacterial populations. Various aspects of each model are discussed and areas for possible future research are postulated.     

Overview of Mathematical Approaches Used to Model Bacterial Chemotaxis I: The Single Cell

Mathematical modeling of bacterial chemotaxis systems has been influential and insightful in helping to understand experimental observations. We provide here a comprehensive overview of the range of mathematical approaches used for modeling, within a single bacterium, chemotactic processes caused by changes to external gradients in its environment. Specific areas of the bacterial system which have been studied and modeled are discussed in detail, including the modeling of adaptation in response to attractant gradients, the intracellular phosphorylation cascade, membrane receptor clustering, and spatial modeling of intracellular protein signal transduction. The importance of producing robust models that address adaptation, gain, and sensitivity are also discussed. This review highlights that while mathematical modeling has aided in understanding bacterial chemotaxis on the individual cell scale and guiding experimental design, no single model succeeds in robustly describing all of the basic elements of the cell. We conclude by discussing the importance of this and the future of modeling in this area.     

Plant-mediated interactions between the rice water weevil and fall armyworm in rice

Greenhouse studies were conducted to investigate plant-mediated interactions between an above-ground and a below-ground herbivore when sharing a common host plant, rice (Oryza sativa L). Two common pests of rice were used: the rice water weevil (RWW), Lissorhoptrus oryzophilus Kuschel, as the root herbivore, and the fall armyworm (FAW), Spodoptera frugiperda (J. E. Smith) as the foliage-feeding herbivore. Rice water weevil larval performance was assessed by measuring larval density and average weight in response to different levels of defoliation by FAW larvae. The reciprocal experiment was done to evaluate FAW performance (growth rate) in response to RWW feeding. Severe defoliation by FAW decreased RWW densities by 32% and reduced larval weights by 48% compared to larvae on roots of non-defoliated plants. Effects in the converse experiments were not as strong. FAW growth rates were reduced 9–37% when feeding on rice leaves from plants damaged by RWW compared to larvae feed leaves from the no damage treatment. These reciprocal negative effects show that RWW and FAW are potential competitors when sharing a rice plant. Because RWW and FAW did not interact directly, competition was plant-mediated.     

CHROMOSOMES OF THE CHARACEAE OF THE WOODS HOLE (MASSACHUSETTS) REGION

Cytological observations were made on material from 35 collections taken from 21 populations representing 10 species and 2 genera. Haploid chromosome numbers observed in Nitella were 9, 12, 18, 18, 18, and 18 + 36. Those observed in Chara were 14, 28, 28, and 42. Several data indicate that Nitella transilis is an established polyploid of N. tenuissima. The evaluation of chromosome numbers in respect to hybridization, polyploidy, and sexuality in haplobiontic plants is discussed.     

Fully saturated menaqionones in the archaebacterium Pyrobaculum islandicum

Abstract The anaerobic, thermophilic archaebacterium, Pyrobaculum islandicum (Geo 3) was examined for the presence of lipoquinones. Thin layer chromatographic, HPLC, UV, and mass spectroscopic analysis showed that a menaquinone was present. No evidence was found for substitution of the 2-methyl-3-polyisoprenyl-1,4-naphthoquinone ring nucleus. However, the C3 isoprenoid chain consisted of six fully saturated units, and shows that the major menaquinone in this organism corresponds to 2-methyl-3-VI,V,IV,III,II,I-dodecahydrohexaprenyl-1, 4-naphthoquinone (MK-6H₁₂).     

Characterization of an androgen binding protein (ABP) in rat testis and epididymis

An androgen binding protein (ABP) was demonstrated in the 105,000 g supernatant of rat testis homogenate after charcoal extraction of endogenous steroids. Testis ABP proved to be identical to an ABP previously described in rat epididymis. It contained saturable high-affinity sites which exhibited binding specificity for dihydrotestosterone (6) and testosterone when measured by polyacrylamide gel electrophoresis or by competitive binding using charcoal adsorption. Binding to ABP was not affected by ribonuclease or neuraminidase but was decreased by the disulfide reducing agent, dithiothreitol and the sulfhydryl reagent, N-ethylmaleimide. Binding was abolished by treatment with proteolytic enzyme. The mean molecular radius of ABP was 2.92 nm as determined by the retardation of electrophoretic mobility in polyacrylamide gels of decreasing pore size. Assuming a partial specific volume of 0.66–0.74 the molecular weight was 86,000–91,000 for a spherical molecule. ABP binding was stable after treating at 45° C for 20 min. but was destroyed at 60° C. Binding was maximal between pH 7.5 and 9.0 and decreased at pH below 7.0.