Sort by
A Practical Workflow for Correcting Kit-Specific Effects in Whole-Exome Sequencing Data
Laura Jarosz
,Marcel Ochocki
,Julia Merta
,Lajos Pusztai
,Michal Marczyk
Posted: 21 April 2026
Impulsive Antibody Therapy for Hopf Bifurcation Control in Human SARS-CoV-2 Dynamics
Khalid Aldawsari
,Yahya AlQahtani
,Fahad Al Basir
This work develops and analyzes a mathematical model of SARS-CoV-2 infection within the human host, incorporating susceptible and infected epithelial cells, viral particles, ACE2 receptors, cytotoxic T lymphocytes (CTLs), and antibodies. The basic reproduction number and equilibrium points are derived, with stability analysis showing that the disease-free equilibrium is maintained when \( \mathcal{R}_0 < 1 \), while an endemic equilibrium arises for \( \mathcal{R}_0 > 1 \). To capture therapeutic intervention, an impulsive control framework based on antibody-mediated drug administration is introduced. Within this framework, the existence and stability of a disease-free periodic orbit are established through the impulsive reproduction number, \( \mathcal{R}_0^{imp} \), with stability ensured when \( \mathcal{R}_0^{imp} < 1 \). Numerical simulations confirm the analytical results, demonstrating the effectiveness of impulsive therapy in achieving viral eradication. Additionally, Hopf bifurcating periodic solutions are observed under elevated viral replication and infection rates. The proposed model provides new insights into the interaction between viral dynamics, immune response, and impulsive therapeutic strategies, offering a rigorous foundation for advancing treatment approaches against SARS-CoV-2.
This work develops and analyzes a mathematical model of SARS-CoV-2 infection within the human host, incorporating susceptible and infected epithelial cells, viral particles, ACE2 receptors, cytotoxic T lymphocytes (CTLs), and antibodies. The basic reproduction number and equilibrium points are derived, with stability analysis showing that the disease-free equilibrium is maintained when \( \mathcal{R}_0 < 1 \), while an endemic equilibrium arises for \( \mathcal{R}_0 > 1 \). To capture therapeutic intervention, an impulsive control framework based on antibody-mediated drug administration is introduced. Within this framework, the existence and stability of a disease-free periodic orbit are established through the impulsive reproduction number, \( \mathcal{R}_0^{imp} \), with stability ensured when \( \mathcal{R}_0^{imp} < 1 \). Numerical simulations confirm the analytical results, demonstrating the effectiveness of impulsive therapy in achieving viral eradication. Additionally, Hopf bifurcating periodic solutions are observed under elevated viral replication and infection rates. The proposed model provides new insights into the interaction between viral dynamics, immune response, and impulsive therapeutic strategies, offering a rigorous foundation for advancing treatment approaches against SARS-CoV-2.
Posted: 16 April 2026
SIR Model with Dependent Infectivity and Death Rates
Emma Breidenich
,Joe Cooper
,Qianzhao Huang - QH
,Meir Shillor
,Camille Wagner
Posted: 15 April 2026
Method and Application for Early Diagnostic and Prediction Based on Heart Rate Estimation Using Probability
Danish Sharok Alam Rojas
,Leonardo Juan Ramirez Lopez
,Javier Rodriguez Velasquez
Posted: 15 April 2026
Curiosity-Driven Exploration with Information Bottleneck Representations and Matrix-Based Mutual Information
Zhaoxu Meng
,Yong Cui
Posted: 10 April 2026
A Hybrid Machine Learning Framework for Mechanistically Interpretable Latent Parameter Inference in a Spatiotemporal CAR-T Therapy Model for Solid Tumours
Maxim Polyakov
Posted: 09 April 2026
Φ-Optimal Hierarchical Brain Oscillations and β-Controlled Cognitive Dynamics: First-Principles Mathematical Foundations of the A7-HBM-ΩΦ Model
Yazeed Mohammed Al-Olofi
Posted: 08 April 2026
Multi-Modal Deep Learning Framework for Personalized Treatment Decision Support in Early-Stage Non-Small Cell Lung Cancer
Bowen Lou
,Shuxin Mo
Posted: 25 March 2026
Time-Varying Biological Time Series Prediction and Pattern Interpretation via Koopman Theory and Large Language Model
Yujie You
,Yuzhu Ji
,Feixiang Zhao
,Ming Xiao
,Le Zhang
Posted: 24 March 2026
Why Does Life Exist?
Michael Timothy Bennett
Posted: 12 March 2026
Spatiotemporal Modelling of CAR-T Cell Therapy in Solid Tumours: Mechanisms of Antigen Escape and Immunosuppression
Maxim Polyakov
Posted: 11 March 2026
Training-Induced Plasticity in Dynamic Functional Network States: Divergence and Occupancy Associations with Behavioral and Cognitive Measures in Healthy Young Adults
Najme Soleimani
,Maria Misiura
,Ali Maan
,Sir-Lord Wiafe
,Jennalyn Burnette
,Asia Hemphill
,Vonetta Dotson
,Rebecca Ellis
,Tricia King
,Erin Tone
+1 authors
Posted: 10 February 2026
Improving Brain Tumor Detection by Cortical Surface and Vessels Segmentation Through RGB-to-HSI Transfer Learning
Guillermo Vázquez
,Alberto Martín-Pérez
,Angel Perez-Nuñez
,Alfonso Lagares
,Eduardo Juarez
,Cesar Sanz
Posted: 09 February 2026
Real-Time Remote Patient Monitoring in Mountainous Regions: Architecture and Pilot Deployment of a Telemedicine Ecosystem
Pietro Hiram Guzzi
,Annamaria Defilippo
,Ugo Lomoio
,Fabiola Boccuto
,Patrizia Vizza
,Alessandro Gallo
,Antonio Pullano
,Filomena Talarico
,Salvatore Fregola
,Pierangelo Veltri
Posted: 02 February 2026
The Application of AI in Drug Discovery and Early Development: Impact and Challenges
Cromwel Tepap Zemnou
,Gabriel Tchuente Kamsu
,Ramelle Ngakam
,Etienne Junior Tcheumeni
Posted: 29 January 2026
Inherited Topological Attractors in Chemical Space: Resolving the 10¹²³-Year Paradox in Prebiotic Self-Organization Through Trans-Cyclic Cosmological Priming
Javier Burgos-Salcedo
Posted: 28 January 2026
Modeling Tumor Phenotypic Heterogeneity with Multi-Strategy Evolutionary Games
José A. Rodrigues
Posted: 22 January 2026
Rebuilding the Antibiotic Pipeline with Guided Generative Models
Shriya Bhat
,Rishab Jain
,Wesley Greenblatt
Posted: 16 January 2026
The Prevention Theorem: Time-Dependent Constraints on Post-Exposure Prophylaxis for HIV
A.C. Demidont
Posted: 14 January 2026
The Synaptic Pruning Cliff: Threshold-Like Network Fragility Under Internal Stress and Efficient Recovery in a Computational Model of Depression
Ngo Cheung
Posted: 13 January 2026
of 13