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Mathematical Modeling - DOAJ

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Last Updated: 19 September 2022

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Mathematical modeling to understand the role of bivalent thrombin-fibrin binding during polymerization

Here, we present a mathematical simulation of fibrin polymerization that considered the interactions between thrombin, fibrinogen, and fibrin, as well as others with u03b3A/u2032. In our example, bivalent thrombin-fibrin binding greatly raised thrombin residency times and allowed for thrombin trapping during fibrin polymerization. Early in fibrin polymerization, u03b3-u2032 binding to thrombin helped to localize the thrombin to the fibrin, which improved fibrin conversion by enzyme conversion. The fibrin-thrombin binding remained stable when all fibrin was present, but fibrin-thrombin interaction shifted rapidly to serve as a sink, effectively removing all free thrombin from the system. When the amount of u03b3u2032 increased, this dual function for u03b3u2032-thrombin binding during polymerization resulted in a paradoxical decline in trapped thrombin. Author summary We created a mathematical model of fibrin polymerization that specifically incorporated thrombin-fibrin interactions, as shown by the u03b3-u2032 version of fibrin. We previously simulated thrombin interactions in a preformed fibrin clot and hypothesized that some thrombin were physically trapped within the clot during its formation. During polymerization, the new model demonstrated the plausibility of large thrombin chains embedded within fibrin fibers during polymerization, suggesting a dual role for u203b3u2032: localization of thrombin and sequestration of thrombin during an early phase of polymerization during a later stage.

Source link: https://doaj.org/article/a4d7d25f06da40a59a70b0f8ae545728


Mathematical modeling of the molecular switch of TNFR1-mediated signaling pathways applying Petri net formalism and in silico knockout analysis.

The paper presents a mathematical representation of cell migration, apoptosis, and necroptosis in cellular signaling pathways initiated by tumor necrosis factor 1. We established the model by analyzing invariant characteristics of the system at steady state and by analyzing silico knockout results. We discovered 279 pathways, which describe signal pathways from receptor activation to cellular response, revealing the combinatorial diversity of functional pathways. We found 57 and 35 pathways leading to apoptosis and necroptosis, respectively. We investigated the in silico knockout activity and found key indicators of the TNFR1 signaling pathway in terms of ubiquitination in complex I and apoptosis induction by NF-u03baB, which controls the caspase activity in complex II and apoptosis induction. Despite not having enough kinetic data of a high quality, we estimated the system's dynamics using a discrete, semi-quantitative Petri net model.

Source link: https://doi.org/10.1371/journal.pcbi.1010383


Mathematical Modeling to Determine the Fifth Wave of COVID-19 in South Africa

The aim of this research is to forecast the COVID-19 disease fifth wave in South Africa using the Gaussian mixture model for the available data of the early four waves from March 18, 2020-April 13, 2022. We provide the COVID-19's simulation in South Africa and forecast the country's fifth wave. We first use the Gaussian mixture model to characterize the coronavirus infection to fit the early reported cases of four waves and then forecast the future wave. We fit and forecast the fifth wave in the United States, which is forecast to begin in May 2022 and conclude in the last week of September 2022. We fit and forecast the fifth wave in the country's first week in the last week of September 2022. We use the results obtained from the Gaussian mixture model in the current model that is also expressed in terms of differential equations.

Source link: https://doi.org/10.1155/2022/9932483


A Mathematical Modeling Analysis of Racism and Corruption Codynamics with Numerical Simulation as Infectious Diseases

We've investigated the dynamics of racism and corruption coexistence in cultures in communities in this report, using a deterministic compartmental framework to assess and recommend appropriate control tactics to stakeholders. We used qualitative and sophisticated statistical tools to analyze both the racism model in the absence of corruption and the abuse model in the absence of discrimination. Basic reproduction numbers have been obtained by using the next generation matrix technique. Both the racial and corruption transmission rates are highly sensitive, while still doing sensitivity research to see the impact of the parameters on the prevalence and transmission of the mind infections that deduce the transmission rates of both the racism and corruption are extremely variable. The numerical simulation we've built showed that the endemic equilibrium point of racism and corruption coexistence model is locally asymptotically stable when max Rr,Rc > 1, the effects of parameters on the basic reproduction numbers and the effect of parameter variables are non-determinate.

Source link: https://doi.org/10.1155/2022/9977727


Innovation of Trade Union Work in Colleges and Universities Based on Mathematical Modeling and Multivariable Optimal Design

The study into multivariate optimal design in the work of trade unions in CU is now expanding, and its benefits are of major importance in solving problems in the work of trade unions in CU. With the in-depth study that related to trade unions in CU, the solution to trade unions in CU is getting more widespread, and it's advantages are increasingly adopted. The difference between the two methods is 18. 7%, according to the study's findings. The overall evaluation score of the college TUW method used in this paper is higher than the traditional college TUW method, which is also higher than the average college TUW method. University TUW's based on mathematical simulation and multivariable optimal design can satisfy university TUW's innovation needs, and employee satisfaction and workplace productivity have been greatly enhanced.

Source link: https://doi.org/10.1155/2022/6309282


Identification of Encrypted Traffic Using Advanced Mathematical Modeling and Computational Intelligence

Network traffic identification is the premise and foundation of any network administration, service quality, and application security. Network behavior analysis, network planning and construction, network anomaly detection, and network traffic model research are all in the spotlight. Many applications use encryption algorithms to encrypt traffic during data transmission due to the increase in end user and service requirements. As a result, traditional traffic classification methods classify encrypted traffic on the network, which adds to significant difficulties and challenges to network monitoring and data mining. This paper, which is based on Deep Belief Networks, introduces the new Elliott -DBN model, analyzes the function diagram, and details the ME-DBN learning algorithm. The experimental findings on the ISCX VPN-non-VPN database show that the MEDBN scheme used in this article can raise the classification and recognition rate while also increasing the likelihood of secure traffic recognition from different applications.

Source link: https://doi.org/10.1155/2022/1419804


Policy-driven mathematical modeling for COVID-19 pandemic response in the Philippines

Government responses to the COVID-19 pandemic have been aided by epidemiological analysis and mathematical simulation. In this paper, we discuss how mathematical modeling has contributed to guiding the course of pandemic policy in the Philippines. We report the numerical specifications of the FASSSTER COVID-19 compartmental model at the center of the FASSSTER platform, the scenario-based disease modeling and analytics toolkit used in the Philippines, to include the numerical details. The FASSSTER model's outputs at various phases of the pandemic and simulation results were highly correlated with empirically measured case trajectories. Model simulations were then used to predict the outcomes of planned interventions, which included the calibration of community quarantine levels and improvements to healthcare system capacity. This report explains how the FASSSTER model facilitated the adoption of a phased strategy of gradually expanding economic growth while also limiting the spread of COVID-19.

Source link: https://doi.org/10.1016/j.epidem.2022.100599


Prediction of the Properties of Modified Phenol-Formaldehyde Composites Using Mathematical Modeling of the Composition of the Polymer Mixture

The paper presents the findings of experiments on adhesive strength under shearing, thermal stability, and the content of the gel fraction of adhesive materials and enamels made from modified phenol-formaldehyde resins. The effect of polyvinylpyrrolidone on internal stresses in adhesive joints has been determined. The isolines of composite materials based on modified phenol-formaldehyde resin are plotted by mathematical modeling, allowing one to obtain materials with predicted behavior by mathematical calculation.

Source link: https://doi.org/10.12913/22998624/152454


Mathematical modeling and optimizing the in vitro shoot proliferation of wallflower using multilayer perceptron non-dominated sorting genetic algorithm-II (MLP-NSGAII)

Novel computational techniques such as artificial neural networks can aid in modeling and predicting the results of tissue culture experiments, lowering the number of experimental treatments and combinations. The current report is focused on the prediction and propagation of Erysimum cheiri Crantz, a common bedding flower and medicinal plant, in vitro shoot proliferation. MLP was used for modeling three outcomes including shoots number, shoots length, and callus weight based on four variables, including 6-benzylaminopurine, kinetin, 1-naphthalene acetic acid and gibberellic acid. The findings of sensitivity analysis revealed that SN and CW were more sensitive to BA than BA, followed by Kin, NAA, and GA for SL. The difference between the validation results and MLP-NSGAII predicted results were negligible, according to the validation experiment.

Source link: https://doaj.org/article/bf06571ee9be4e729fca677d1d5173a3

* Please keep in mind that all text is summarized by machine, we do not bear any responsibility, and you should always check original source before taking any actions

* Please keep in mind that all text is summarized by machine, we do not bear any responsibility, and you should always check original source before taking any actions