# A Nonconventional Analysis of CD$4^{+}$ and CD$8^{+}$ T Cell Responses During and After Acute Lymphocytic Choriomeningitis Virus Infection

## TL;DR

This study refines a mathematical model of CD4+ and CD8+ T cell responses during LCMV infection, using experimental data and likelihood-based calibration to improve understanding of immune dynamics.

## Contribution

It introduces a re-fitting and analysis of an existing model with new calibration methods to better fit experimental T cell response data.

## Key findings

- Enhanced model fit to experimental data
- Insights into T cell response dynamics
- Improved parameter estimation

## Abstract

A mathematical model from a previous work was re-fitted and analyzed for experimental data regarding the cellular immune response to the lymphocytic choriomeningitis virus. Specifically, the $CD8^{+}$ T cell response to six MHC class I-restricted epitopes (GP* and NP*) and $CD4^{+}$ T cell responses to two MHC class II-restricted epitopes\cite{de2003different}. In this work, we use calibration through log likelihood maximization to investigate if different parameters can produce a more accurate fit of the model presented previously in the paper titled \textit{Different Dynamics of CD$4^{+}$ and CD$8^{+}$ T Cell Responses During and After Acute Lymphocytic Choriomeningitis Virus Infection}\cite{de2003different}