Predicting the kinetic coordination of immune response dynamics in SARS-CoV-2 infection: implications for disease pathogenesis

D Grebennikov, A Karsonova, M Loguinova, V Casella… - Mathematics, 2022 - mdpi.com
A calibrated mathematical model of antiviral immune response to SARS-CoV-2 infection is
developed. The model considers the innate and antigen-specific responses to SARS-CoV-2 …

Global stability of a humoral immunity COVID-19 model with logistic growth and delays

AM Elaiw, AJ Alsaedi, AD Al Agha, AD Hobiny - Mathematics, 2022 - mdpi.com
The mathematical modeling and analysis of within-host or between-host coronavirus
disease 2019 (COVID-19) dynamics are considered robust tools to support scientific …

A simple in-host model for COVID-19 with treatments: Model prediction and calibration

I Al-Darabsah, KL Liao, S Portet - Journal of Mathematical Biology, 2023 - Springer
In this paper, we provide a simple ODEs model with a generic nonlinear incidence rate
function and incorporate two treatments, blocking the virus binding and inhibiting the virus …

How robust are estimates of key parameters in standard viral dynamic models?

C Zitzmann, R Ke, RM Ribeiro… - PLOS Computational …, 2024 - journals.plos.org
Mathematical models of viral infection have been developed, fitted to data, and provide
insight into disease pathogenesis for multiple agents that cause chronic infection, including …

Stability of a delayed SARS-CoV-2 reactivation model with logistic growth and adaptive immune response

AM Elaiw, AJ Alsaedi, AD Hobiny, S Aly - Physica A: Statistical Mechanics …, 2023 - Elsevier
This paper develops and analyzes a SARS-CoV-2 dynamics model with logistic growth of
healthy epithelial cells, CTL immune and humoral (antibody) immune responses. The model …

A quantitative systems pharmacology model of the pathophysiology and treatment of COVID-19 predicts optimal timing of pharmacological interventions

R Rao, CJ Musante, R Allen - npj Systems Biology and Applications, 2023 - nature.com
A quantitative systems pharmacology (QSP) model of the pathogenesis and treatment of
SARS-CoV-2 infection can streamline and accelerate the development of novel medicines to …

[HTML][HTML] Dynamics of Activation and Regulation of the Immune Response to Attack by Viral Pathogens Using Mathematical Modeling

L Cuesta-Herrera, L Pastenes, AD Arencibia… - Mathematics, 2024 - mdpi.com
In this paper, a mathematical model is developed to simulate the activation of regulatory T
lymphocytes dynamics. The model considers the adaptive immune response and consists of …

Ensemble modeling of SARS-CoV-2 immune dynamics in immunologically naïve rhesus macaques predicts that potent, early innate immune responses drive viral …

C Byrne, JT Schiffer - Frontiers in Immunology, 2024 - frontiersin.org
Introduction An unprecedented breadth of longitudinal viral and multi-scale immunological
data has been gathered during SARS-CoV-2 infection. However, due to the high complexity …

Computational framework to understand the clinical stages of COVID‐19 and visualization of time course for various treatment strategies

S Sharma, R Sarkar, K Mitra… - Biotechnology and …, 2023 - Wiley Online Library
Coronavirus disease 2019 is known to be regulated by multiple factors such as delayed
immune response, impaired T cell activation, and elevated levels of proinflammatory …

Amplitude equations and order parameters of human SARS-COV-2 infections and immune reactions: A model-based approach

TD Frank - Advances in Complex Systems (ACS), 2024 - ideas.repec.org
Several recent modeling studies have attempted to understand the human immune reaction
to SARS-CoV-2 infections. Such a model-based understanding provides a sound basis for …