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Mathematical Modeling - Europe PMC

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Last Updated: 19 September 2022

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Mathematical modeling of Notch dynamics in Drosophila neural development.

"lateral inhibition" is a common feature of Notch signaling, whereby two neighbouring cells of a similar state of differentiation have divergent cell fates. The Notch dynamics in Drosophila neural development have been addressed by mathematical and computational techniques. Notch signalling collaborates with other signalling pathways to establish the photoreceptor cells' evenly spaced positioning in eye disc growth. In the optic lobe, the interplay between Notch and epidermal growth factor receptor signaling regulates neural stem cell differentiation.

Source link: https://europepmc.org/article/MED/34609265


Mathematical modeling identifies optimal dosing schedules for COVID-19 vaccines to minimize breakthrough infections

To this end, we've created a mechanistic mathematical model of adaptive immune response to vaccines and demonstrated its aplicability to COVID-19 mRNA vaccines as a proof-of-concept for future outbreaks. In reaction to multiple doses of mRNA vaccines in healthy and immunocompromised patients, the model was rigorously calibrated; it demonstrated robust clinical reliability by accurately predicting neutralizing antibody kinetics, a predictor of vaccine-induced immunity. We've found a critical waiting window for cancer patients that allows for the immune system's for efficient differentiation of B-cells to produce neutralizing antibodies and thus ensure optimal vaccination success against variants of worry, particularly between the first and second doses.

Source link: https://europepmc.org/article/PPR/PPR546392


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

The thromboplast converts soluble fibrinogen into fibrin, which polymerizes and forms an insoluble, stabilizing gel around the growing clot. Here, we present a numerical representation of fibrin polymerization that considered the interactions of thrombin, fibrinogen, and fibrin, as well as those with u03b3A/u03b3'. thrombin residency times were significantly increased in our simulation model, which also allowed for thrombin-trapping during fibrin polymerization. Early in fibrin polymerization, u03b3' binding to thrombin helped localize the thrombin to the fibrin, boosting fibrino conversion by enzyme reaction. The fibrin-thrombin bundles were still present when all the fibrin was present, but the effect of fibrin on thrombin turned quickly to serve as a sink, effectively removing all free thrombin from the system. When the number of thrombin binding during polymerization was increased, a paradoxical decrease in trapped thrombin occurred.

Source link: https://europepmc.org/article/MED/36107837


Secondary mathematics teachers learning to do and teach mathematical modeling: a trajectory

This report explores secondary mathematics teachers' experiences, which contributed to their abilities to investigate mathematical modeling and educationu2019 modeling experiences for students. While providing a way to investigate learning's complexity and teaching modeling, the integrative research methodologies and transformative learning theory frame used in the study honor teachers as adult learners and value their perspectives, as well as a way to investigate learning's complexity to model and teach modeling. The results of this report reveal a holistic approach to learning to do and teach mathematical modeling, as well as research proving that specific areas of the modeling process were out of necessity.

Source link: https://europepmc.org/article/MED/PMC9465671


A mathematical modeling framework for deciphering the dynamics of tumour-immune interactions in presence of checkpoint inhibitors

As a result of sustained tumour antigen stimulation, immune responses and durable clinical benefits in cancer patients have returned to rejuvenation of immune responses and durable clinical use in cancer patients. Targeting checkpoint proteins expressed on the surfaces of T cells. The psychological motif simplifies the tumour growth history with time, the evolution of tumor antigens, and effector T cells, while emphasizing on the effect of primary immune responses alone and a blend of primary and secondary immune responses on tumour regression. The model compares the tumour growth dynamics observed in people with secondary immune responses to that observed in people with both immune responses. On continuous stimulation by tumor antigens, the anti-tumour immune responses comprising the primary and secondary responses are downregulated by checkpoint proteins such as PD1 and CTLA4.

Source link: https://europepmc.org/article/PPR/PPR544444


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 support modeling and predicting findings of tissue culture experiments, lowering the number of experimental treatments and combinations. The current research aims to model and forecast in vitro shoot proliferation of Erysimum cheiri Crantz, a common bedding flower and medicinal plant, in vitro shoot proliferation. Afterwards, the model linked to Non-dominated Sorting Genetic Algorithm-II was used to adjust input parameters for obtaining the best predicted outputs. For SL, more sensitivity was obtained for SN and CW than for BA, followed by Kin, NAA, and GA. The difference between the validation results and MLP-NSGAII predicted results were negligible, according to the validation experiment.

Source link: https://europepmc.org/article/MED/36083887


Exploring the impact of how criminals interact with cyber-networks - a mathematical modeling approach

To determine the effect of criminal location in relation to cyber networks on the number of cybercrime, we used a nonlinear differential equations. Higher rates of cybercrime are likely on more crowded cyber networks, which are more populated, are expected to experience higher levels of cybercrime, but there is also a saturation effect that reduces the severity of victimization as the number of criminals trying to carry out crimes on a given network rises.

Source link: https://europepmc.org/article/PPR/PPR542287


Mathematical modeling of the dynamics of COVID-19 variants of concern: Asymptotic and finite-time perspectives.

One of the key public health problems has been the COVID-19 pandemic virus, which is expected to reach an epidemic area. Our results also support the fact that public health steps targeting the newly emerging VOC in the early stages of its spread can minimize the number of the disease caused by the current VOC.

Source link: https://europepmc.org/article/MED/36097594


Strengthening India's Response to HIV/AIDS Epidemic Through Strategic Planning, Innovative Financing, and Mathematical Modeling: Key Achievements over the Last 3 Decades.

During the 2000s, Indian HIV/AIDS figures during the 2000s did not match the WHO and UNAIDS estimates, which did not reach the high percentage estimates that were not provided by the WHO and UNAIDS. The number of HIV infections in the 2020s was high around 2. 4 million in the United States, but the country's population of 1. 38 billion kept the general optimism rate very low compared to many countries.

Source link: https://europepmc.org/article/MED/36093271

* 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