Esteban Abelardo Hernandez-Vargas

Beyond Viral Load: A Mechanistic Model of Virus-Immune Dynamics and Age-Dependent Influenza Severity

This paper develops a mechanistic model linking viral dynamics, immune responses, and symptom severity in influenza, showing that age-related immune changes drive disease severity beyond viral load.

Triangular Invariant Sets for Containment of Drug Resistance Under Evolutionary Therapy

The paper develops a framework for containment of drug resistance using triangular invariant sets in evolutionary therapy, showing how mutation thresholds affect containment robustness.

CrossLabFit: A Novel Framework for Integrating Qualitative and Quantitative Data Across Multiple Labs for Model Calibration

CrossLabFit integrates qualitative and quantitative data from multiple labs to improve model calibration and accuracy through machine learning and GPU-accelerated optimization.

Computational Platform for streamlining the success of sequential antibiotic therapy

The paper develops an open-source computational platform to predict failures of sequential antibiotic therapy using collateral sensitivity and bacterial resistance profiles.

Mechanistic Identifiability Preservation for Hybrid Neural Differential Equations

This paper develops a theoretical framework to preserve mechanistic identifiability in hybrid neural differential equations, showing neural augmentation weakens but does not eliminate identifiability.

Invariant set theory for predicting failure of antibiotic cycling

This paper uses control invariant sets to predict treatment failure in antibiotic cycling, aiming to reduce multi-drug resistant pathogen emergence.

Quantitative modeling of the function of kinetically driven transcriptional riboswitches

The paper develops a kinetic modeling framework for transcriptional riboswitches, showing that transcription rate and metabolite concentration dynamics affect gene regulation.

Uncovering antibody cross-reaction dynamics in influenza A infections

The paper develops a stochastic model to study antibody cross-reaction dynamics in influenza infections and identifies key factors influencing cross-reactivity.

PDEparams: Parameter fitting toolbox for partial differential equations in Python

PDEparams provides a Python toolbox for parameter estimation in PDE models, offering tools like likelihood profiles and parametric bootstrapping.

Neuraminidase inhibitors - is it time to call it a day?

This study uses mathematical modeling to show that neuraminidase inhibitors have limited impact on influenza outcomes, questioning their use and stockpiling.

Parameter Estimation In Mathematical Models Of Viral Infections Using R

This paper describes a method for parameter estimation in viral infection models using R, applicable to influenza and other viruses.

Windows of opportunity for Ebola virus infection treatment and vaccination

This paper uses mathematical models and experimental data from EBOV-infected nonhuman primates to identify time windows for effective treatment and vaccination against Ebola virus.