Bridging blood cancers and inflammation: The reduced Cancitis model

Area of Science:

• Mathematical Biology
• Immunology
• Oncology

Background:

• Blood cancers involve complex interactions between malignant cells and the immune system.
• Understanding these dynamics is crucial for developing effective treatments.

Purpose of the Study:

• To propose and analyze a novel mechanism-based mathematical model (Cancitis model) for blood cancer and inflammation.
• To investigate the role of inflammation in blood cancer onset and progression.

Main Methods:

• Developed a 6-dimensional system of nonlinear ordinary differential equations.
• Reduced the system to a 2-dimensional model using Fenichel theory.
• Analyzed steady states, stability, and global existence of solutions.

Main Results:

• The reduced Cancitis model exhibits a 'Janus structure' with two distinct topologies.
• A novel reproduction ratio (R) classifies these topologies and predicts cancer behavior.
• Exogenous inflammatory stimuli significantly influence cancer development and the body's management capacity.

Conclusions:

• Inflammation can trigger and drive blood cancers, potentially overwhelming the body's natural defenses.
• The model suggests that inflammation plays a critical role in blood cancer progression.
• Mathematical insights pave the way for novel therapeutic strategies and analysis of existing treatments.