A simple mathematical modeling of the growth of microorganism colonies

The growth rates of aspergillus, fusarium, and penicillium microorganism colonies in Czapex Dox Agar as a feed material, under room conditions, are observed to be linear. This phenomenon is mathematically modeled and exactly predicted on the basis of the exponential growth assumption of a single microorganism. The approach allows an easy determination of the multiplication constant of a had microorganisms been allowed to grow freely microorganism, in given conditions.     

A novel 'sit and wait' reproductive strategy in social wasps

I present evidence indicating that a subset of spring females in the social wasp Polistes dominulus do not initiate colonies but rather ''sit and wait'' to adopt colonies initiated and abandoned by other conspecifics. These results are, to my knowledge, the first to demonstrate conclusively this alternative reproductive strategy in social wasps. Individuals engaging in the sit-and-wait strategy behave selfishly by adopting the most mature nests available; such nests will produce workers sooner than less mature nests and, consequently, are more likely to survive. The sit-and-wait reproductive strategy may safeguard an individual from early-season, foraging-related mortality as well as reduce early-season energy expenditure.     

A mathematical model of breast cancer development, local treatment and recurrence

Cancer development is a stepwise process through which normal somatic cells acquire mutations which enable them to escape their normal function in the tissue and become self-sufficient in survival. The number of mutations depends on the patient's age, genetic susceptibility and on the exposure of the patient to carcinogens throughout their life. It is believed that in every malignancy 4-6 crucial similar mutations have to occur on cancer-related genes. These genes are classified as oncogenes and tumour suppressor genes (TSGs) which gain or lose their function respectively, after they have received one mutative hit or both of their alleles have been knocked out. With the acquisition of each of the necessary mutations the transformed cell gains a selective advantage over normal cells, and the mutation will spread throughout the tissue via clonal expansion. We present a simplified model of this mutation and expansion process, in which we assume that the loss of two TSGs is sufficient to give rise to a cancer. Our mathematical model of the stepwise development of breast cancer verifies the idea that the normal mutation rate in genes is only sufficient to give rise to a tumour within a clinically observable time if a high number of breast stem cells and TSGs exist or genetic instability is involved as a driving force of the mutation pathway. Furthermore, our model shows that if a mutation occurred in stem cells pre-puberty, and formed a field of cells with this mutation through clonal formation of the breast, it is most likely that a tumour will arise from within this area. We then apply different treatment strategies, namely surgery and adjuvant external beam radiotherapy and targeted intraoperative radiotherapy (TARGIT) and use the model to identify different sources of local recurrence and analyse their prevention.     

Queen,worker, and male yellowjacket wasps receive different nutrition during development

Nutritional variation among developing larvae is a long-standing hypothesis for how a sterile caste could evolve, with larvae deprived of nutrition becoming sterile or not leaving the nest. In this study, we test whether the three castes of the eusocial yellowjacket wasp (Vespula maculifrons) differ in the trophic source of their larval diet, their overall carbon (C) and nitrogen (N) content, as well as the distribution of C and N across body parts. Virgin queens (gynes) assimilated food from a higher relative trophic level compared to males, and workers were the lowest. Gynes, due to their much greater mass compared to the other castes are much more costly in terms of N, but males have the lowest C:N ratio. The variation in C:N is likely due to differences in life history between males and females (gynes and workers), where females invest more in energy storage (e.g., lipids) compared to males which have very short life spans; the major difference is in the abdomen, where fat is stored. The results of this study complement similar results in ants, which evolved a reproductive division of labor independently, and which diverged from vespid wasps near 150 million years ago. Similarities between how wasp and ant caste determination occurs suggest either a conserved mechanism that predates the evolution of eusociality or convergence on the same mechanism for generating alternative phenotypes. Provisioning N-expensive castes with food from a higher trophic level likely increases efficiency of N delivery because of N-enrichment with increasing trophic level.     

Thermoelectric (seebeck) effect of the cuticle of social wasps

The thermoelectric (Seebeck) coefficient ($\text{S =}\text{ΔV}\text{ΔT}$) in various cuticular areas of the Oriental hornet (Vespa orientalis) fluctuates from 0·3 to 2·4 mV deg^?1 within a temperature range of 27–36°C and when the temperature difference between the two measuring electrodes (ΔT) is 0·6–8·0°C. The values measured on the brown-colored cuticle suggest an n-type conduction, while those measured on the yellow-colored cuticle point to a p-type conduction. It is suggested hornets use this phenomenon for temperature detection.     

Gene expression and the evolution of phenotypic diversity in social wasps

Background  

Organisms are capable of developing different phenotypes by altering the genes they express. This phenotypic plasticity provides a means for species to respond effectively to environmental conditions. One of the most dramatic examples of phenotypic plasticity occurs in the highly social hymenopteran insects (ants, social bees, and social wasps), where distinct castes and sexes all arise from the same genes. To elucidate how variation in patterns of gene expression affects phenotypic variation, we conducted a study to simultaneously address the influence of developmental stage, sex, and caste on patterns of gene expression in Vespula wasps. Furthermore, we compared the patterns found in this species to those found in other taxa in order to investigate how variation in gene expression leads to phenotypic evolution.     

Resource choice of social wasps: influence of presence, size and species of resident wasps

Summary: The role of visual cues provided by resident wasps on resource choice by yellowjacket and paper wasp foragers was investigated. Large spring queen yellowjackets and small early season yellowjacket foragers (Vespula germanica, Vespula maculifrons, and Vespula vidua) were extracted in hexane to remove odors and posed as though feeding at petri dish feeders bearing daisy-like flower models, equipped with microcapillary feeding tubes, and containing 1:3 honey:water solution. An array of five feeders was presented to foragers at a suburban and a woodland site in Saratoga Springs, New York. The visual cues provided by resident wasps influenced resource choice by approaching social wasp foragers. Vespula germanica, an introduced yellowjacket species that tends to dominate at rich resources, was the only wasp visiting the suburban feeders. Foragers of this species preferentially fed on feeders and flowers with posed wasps and fed most often next to large wasps. Polistes fuscatus foragers at the woodland site similarly preferred to feed on occupied feeders and flowers. Vespula maculifrons and V. consobrina preferentially visited unoccupied feeders. Individual V. maculifrons, V. consobrina and V. vidua foragers that landed on occupied feeders all preferentially visited unoccupied flowers on those feeders. Vespula vidua and V. flavopilosa foragers did not demonstrate a feeder preference based on the presence/absence of posed wasps. Vespula consobrina foragers that visited occupied feeders preferred those occupied by extracted V. maculifrons queens and workers; no other wasps showed species based landing preferences.     

股骨粗隆间骨折三种内固定方式治疗的选择

目的:探讨三种不同手术治疗股骨粗隆间骨折的疗效及内固定方式选择.方法:回顾性分析2003年～2007年我院骨科收治的获得随访的股骨粗隆间骨折患者107例.骨折类型根据Evans分型:一类骨折Ⅰ型12例,Ⅱ型29例,Ⅲ型34例,Ⅳ型26例,二类骨折(R型)6例.其中DHS治疗组36例,Gamma钉治疗组43例,股骨近端解剖钢板治疗组28例.结果:术后随访1～4年,平均2.8年,根据Harris髋关节功能判定标准,优良率86.9%.结论:根据患者全身情况及股骨粗隆间骨折分型,严格选择不同手术方法,常能取得较好的效果.     

"Alien" wasps and evolution of development

A comparative analysis of early developmental programs in a group of parasitic wasps reveals that closely related species can undergo dramatic evolutionary shifts in their patterns of embryogenesis. Developmental changes detected include alterations in early cleavage divisions, the establishment of embryonic anteroposterior polarity and modifications of the segmentation gene hierarchy described from Drosophila. These changes appear to be adaptations to parasitic development, taking place within the body of the host. Wasps illustrate a surprising plasticity in their early development and embryogenesis. The alterations associated with different parasitic strategies suggest that ecological adaptations may have profound influences on developmental processes in animals.     

Highly variable social organisation of colonies in the ant Formica cinerea

Social organisation of colonies was examined in the ant Formica cinerea by estimating the coefficient of genetic relatedness among worker nest mates. The estimates based on microsatellite genotypes at three loci ranged from values close to zero to 0.61 across the populations studied in Finland. These results showed that a fundamental feature of colonies, the number of reproductive queens, varied greatly among the populations. Colonies in some populations had a single queen, whereas the nests could have a high number number of queens in other populations. There was a weak but non-significant correlation between the genetic and metric distance of nests within two populations with intermediate level of relatedness. Differentiation among nearby populations (within the dispersal distance of individuals) in one locality indicated limited dispersal or founder effects. This could occur when females are philopatric and stay in the natal polygynous colony which expands by building a network of nest galleries within a single habitat patch.     

Physical and motor development of children with different social origins

The aim of the study is the analysis of body composition and motor development of 3 years old children due to their social status. In 2001/2002 a longitudinal study started in 17 nursery schools in Berlin. The results of the first investigation on 224 children are demonstrated here. There are no differences in body development and body composition in 3 years old children due to the social level in Germany, there are, however, differences in motor development due to the social level. Children with a low social level had lower outcomes in all motor skills.     

Strategies of social wasps for thermal homeostasis in light paper nests

1. With the derived free-run temperature of light paper nests the influence of the thermal capacity of the nest or the nest site, respectively, on thermal homeostasis is quantified.

2. Gravimetric information from the continuous investigation of the nest weight coupled with temperature and humidity measurement allows the correlation of the colonies’ foraging behavior with their heat production inside the nest.

3. Wasps (Vespa crabro) do not regulate their nest environment towards a specific and constant temperature but rather build nests adapted to their foraging behavior and general energy budget.

A contribution to the mathematical biology of the rates of historical development

The paper is a second step toward a biomathematical theory of the rates of spread of new nonconformist ideas or behaviors in a society. It is intended as a preliminary and purely theoretical study of a very oversimplified case. An equation which determines the distribution function of the tendencies toward conformist and nonconformist behaviors is set up under a number of oversimplified assumptions, and a solution by successive approximations is indicated. The expression for the first approximation is given, and an estimate of the order of magnitude of the rates of changes is made. In conclusion an outline is given for further improvement of the theory.     

A mathematical model for the laser treatment of heart disease

Transmyocardial laser revascularisation (TMLR) is used to treat patients with severe coronary artery disease. A laser is used to create narrow tunnels within ischemic heart muscle in an attempt to reperfuse the area with oxygenated blood directly from the left-ventricular chamber. It has been hypothesised that initially blood flow through the patent tunnels plays an important role in the efficacy of the treatment (J. Am. College Cordiol. 25(1) (1995) 258) and Waters (J. Fluid Mech. 433 (2001) 193) developed a simple mathematical model to show that this blood flow enhances the quantity of oxygenated blood drawn into the tunnel and the subsequent delivery of oxygen to the tissue.To date, however, the optimum parameter values for this clinical technique have not been determined, e.g. the radius of the laser-drilled tunnels and their relative spacing. We present a mathematical model to determine the distribution of oxygen for a wide range of the governing parameters. Our results indicate that the tunnel radius has a significant effect on the degree of tissue reperfusion and predictions for the optimum tunnel spacing are made.     

A mathematical model of cancer treatment by immunotherapy

In this paper, a detailed mathematical study of cancer immunotherapy will be presented. General principles of cancer immunotherapy and the model equations and hypotheses will be discussed. Mathematical analyses of the model equations with regard to dissipativity, boundedness of solutions, invariance of non-negativity, nature of equilibria, persistence, extinction and global stability will be analyzed. It will also be shown that bifurcations can occur, and criteria for total cure will also be derived.