Related Experiment Video
Updated: Jun 28, 2026
07:36
Tumor Transplantation for Assessing the Dynamics of Tumor-Infiltrating CD8+ T Cells in Mice
Published on: June 12, 2021
Stochastic tumor immune dynamics with saturating response.
Javed Hussain1, Tareq Saeed2, Lianlian Zhou3
1Department of Mathematics, Sukkur IBA University, Sukkur, Pakistan.
Scientific Reports
|June 26, 2026
Summary
This study models tumor-immune dynamics with random fluctuations, revealing that sustained immune pressure is crucial for tumor extinction. Persistence depends on a stochastic threshold influenced by interaction noise.
Area of Science:
- Mathematical Biology
- Immunology
- Computational Science
Background:
- Tumor-immune interactions are complex, involving dynamic population balances.
- Stochastic models are essential for capturing random fluctuations in biological systems.
Purpose of the Study:
- To analyze a stochastic tumor-immune interaction model with a saturating response.
- To investigate the conditions for tumor extinction and population persistence.
Main Methods:
- Stochastic differential equations with a single Brownian motion driving the interaction term.
- Analysis of global positive solutions, population boundedness, and extinction criteria.
- Application of Krylov-Bogoliubov averaging for invariant probability measures.
Main Results:
- Unique global positive solutions exist for positive initial data.
- Tumor extinction necessitates sustained immune pressure.
- Persistence is governed by a stochastic threshold, with interaction noise creating an Itô correction.
Conclusions:
- The model demonstrates that random fluctuations in immune contact influence tumor dynamics.
- Sustained immune pressure is key for tumor eradication.
- Numerical simulations support the model's predictions regarding persistence and saturation effects.
Related Concept Videos
02:17The Tumor Microenvironment
Every normal cell or tissue is embedded in a complex local environment called stroma, consisting of different cell types, a basal membrane, and blood vessels. As normal cells mutate and develop into cancer cells, their local environment also changes to allow cancer progression. The tumor microenvironment (TME) consists of a complex cellular matrix of stromal cells and the developing tumor. The cross-talk between cancer cells and surrounding stromal cells is critical to disrupt normal tissue...
01:27Tumor Immunotherapy
Immunotherapy is a treatment that boosts or manipulates the immune system to fight diseases, including cancer. For instance, by stimulating an immune response through vaccinations against viruses that cause cancers, like hepatitis B virus and human papillomavirus, these diseases can be prevented. Nonetheless, some cancer cells can avoid the immune system due to their rapid mutation and division. The immune response to many cancers involves three phases: elimination, equilibrium, and escape.