Biomath Pub Date : 2022-05-11 DOI: 10.55630/j.biomath.2022.03.278

V. Akimenko, F. Adi-Kusumo

引用次数: 1

Spike timing neural network model of conscious visual perception 有意识视觉感知的脉冲时序神经网络模型

Biomath Pub Date : 2022-04-19 DOI: 10.55630/j.biomath.2022.02.258

P. Koprinkova, Simona Nedelcheva

引用次数: 0

Relationship between blood superoxide dismutase activity and zinc, copper, glutathione and metallothioneines concentrations in calves 犊牛血超氧化物歧化酶活性与锌、铜、谷胱甘肽和金属硫肽浓度的关系

Biomath Pub Date : 2021-12-28 DOI: 10.11145/j.biomath.2021.11.247

V. Safonov, V. Ermakov, V. Danilova, V. Yakimenko

{"title":"Relationship between blood superoxide dismutase activity and zinc, copper, glutathione and metallothioneines concentrations in calves","authors":"V. Safonov, V. Ermakov, V. Danilova, V. Yakimenko","doi":"10.11145/j.biomath.2021.11.247","DOIUrl":"https://doi.org/10.11145/j.biomath.2021.11.247","url":null,"abstract":"RedOx processes determine the resistance of the organism to pollutants. The aim of the study was to establish a possible relationship between copper and zinc concentration in the blood of calves and the enzyme activity of superoxide dismutase. The study was conducted in 2019 on 50 calves with a weight of 201-250 kg. The samples of venous blood were taken to estimate the level of hemoglobin, glutathione, metallothioneins, as well as zinc, copper, and superoxide dismutase activity. The obtained average values of these substances concentration were compared between each other. A positive correlation between the activity of superoxide dismutase and the concentration of zinc (r = 0.64) and copper (r = 0.87) in the blood of calves has been established. It may be because both metals are obligatory components of superoxide dismutase. There is also a positive relationship between the levels of copper and zinc (r = 0.68). For the other parameters, no reliable relationship was found. The data obtained indicate a positive relationship between the activity of superoxide dismutase and metal concentrations of copper and zinc in the blood of calves. At the same time, a more significant positive relationship is established for copper.","PeriodicalId":52247,"journal":{"name":"Biomath","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-12-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44029247","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 10

Age-structured delayed SIPCV epidemic model of HPV and cervical cancer cells dynamics I. Numerical method 年龄结构延迟SIPCV流行模型与宫颈癌细胞动力学ⅰ。数值方法

Biomath Pub Date : 2021-12-06 DOI: 10.11145/j.biomath.2021.10.027

V. Akimenko, F. Adi-Kusumo

{"title":"Age-structured delayed SIPCV epidemic model of HPV and cervical cancer cells dynamics I. Numerical method","authors":"V. Akimenko, F. Adi-Kusumo","doi":"10.11145/j.biomath.2021.10.027","DOIUrl":"https://doi.org/10.11145/j.biomath.2021.10.027","url":null,"abstract":"The numerical method for simulation dynamics of nonlinear epidemic model of age-structured sub-populations of susceptible, infectious, precancerous and cancer cells and unstructured population of human papilloma virus (HPV) is developed (SIPCV model). Cell population dynamics is described by the initial-boundary value problem for the delayed semi-linear hyperbolic equations with age- and time-dependent coefficients and HPV dynamics is described by the initial problem for nonlinear delayed ODE. The model considers two time-delay parameters: the time between viral entry into a target susceptible cell and the production of new virus particles, and duration of the first stage of delayed immune response to HPV population growing. Using the method of characteristics and method of steps we obtain the exact solution of the SIPCV epidemic model in the form of explicit recurrent formulae. The numerical method designed for this solution and used the trapezoidal rule for integrals in recurrent formulae has a second order of accuracy. Numerical experiments with vanished mesh spacing illustrate the second order of accuracy of numerical solution with respect to the benchmark solution and show the dynamical regimes of cell-HPV population with the different phase portraits.","PeriodicalId":52247,"journal":{"name":"Biomath","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-12-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43852847","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 3

Some mathematical tools for modelling malaria: a subjective survey 疟疾建模的一些数学工具:一项主观调查

Biomath Pub Date : 2021-10-13 DOI: 10.11145/j.biomath.2021.10.029

J. Banasiak, R. Ouifki, W. A. Woldegerima

引用次数: 1

Qualitative analysis of a mathematical model about population of green turtles on the Galapagos island 加拉帕戈斯岛绿海龟种群数学模型的定性分析

Biomath Pub Date : 2021-10-01 DOI: 10.11145/j.biomath.2021.07.293

Candy Herrera, C. Duque, H. Leiva

{"title":"Qualitative analysis of a mathematical model about population of green turtles on the Galapagos island","authors":"Candy Herrera, C. Duque, H. Leiva","doi":"10.11145/j.biomath.2021.07.293","DOIUrl":"https://doi.org/10.11145/j.biomath.2021.07.293","url":null,"abstract":"According to the IUCN, most sea turtles fall into one of the endangered categories. Since, sea turtles, like many other reptiles, present an unusual developmental process, marked by the determination of the sex of the offspring by environmental factors, more specifically by temperature. In the temperature sex determination (TSD) system the temperature of an embryo's environment during incubation period will dictate the embryo's sex development. This developmental process, together with the complex mating and nesting behavior and the vulnerability of sea turtles to threats of a natural or anthropogenic nature, naturally lead to the study of the population dynamics of the species.? For this reason, in this paper, we have developed a continuous model given by a system of three ordinary differential equations to study the dynamics of the green sea turtle population long-term, focusing the mathematical simulations on the data obtained for the nesting species of Galapagos Islands. Through the qualitative analysis of the model, the following is demonstrated: 1) The flow induced by the system is positively invariant on the region of biological interest and 2). The given condition on is necessary and sufficient for the unique nontrivial equilibrium point to be globally asymptotically stable in that region. When implementing the estimated values for our parameters in the numerical simulations, it was observed that indeed the population of Galapagos green sea turtles complies with the condition for which the nontrivial critical point is globally asymptotically stable.","PeriodicalId":52247,"journal":{"name":"Biomath","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47736368","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Mathematical model for acquiring immunity to malaria: a PDE approach 获得疟疾免疫力的数学模型：PDE方法

Biomath Pub Date : 2021-09-12 DOI: 10.11145/j.biomath.2021.07.227

S. Tchoumi, Y. T. Kouakep, D. Fotsa, F. G. T. Kamba, J. Kamgang, D. Houpa

引用次数: 1

Mathematical Modeling and Analysis of Covid-19 Infection spreads in India with Restricted Optimal Treatment on Disease Incidence 新冠肺炎感染在印度传播的数学模型与分析

Biomath Pub Date : 2021-07-17 DOI: 10.11145/J.BIOMATH.2021.06.147

Debkumar Pal, D. Ghosh, P. Santra, G. Mahapatra

引用次数: 4

COVID-19 changing the face of the world. Can sub-Sahara Africa cope? COVID-19改变了世界的面貌。撒哈拉以南的非洲能应付吗?

Biomath Pub Date : 2021-03-29 DOI: 10.11145/J.BIOMATH.2021.03.117

M. H. Machingauta, Bwayla Lungu, E. Lungu