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Related Concept Videos

Tumor Immunotherapy01:27

Tumor Immunotherapy

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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.
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The Tumor Microenvironment02:17

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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...
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Microfluidic Co-Culture Models for Dissecting the Immune Response in in vitro Tumor Microenvironments
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Delay differential model for tumour-immune response with chemoimmunotherapy and optimal control.

F A Rihan1, D H Abdelrahman2, F Al-Maskari3

  • 1Department of Mathematical Sciences, College of Science, UAE University, P.O. Box 15551, Al-Ain, UAE ; Department of Mathematics, Faculty of Science, Helwan University, Cairo 11795, Egypt.

Computational and Mathematical Methods in Medicine
|September 9, 2014
PubMed
Summary

This study introduces a mathematical model for cancer therapy, optimizing treatments to reduce tumor cells while preserving healthy cells. Combination therapy showed superior results compared to chemotherapy alone.

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Area of Science:

  • Mathematical Biology
  • Immunology
  • Oncology

Background:

  • Tumor growth and immune response dynamics are complex.
  • External therapies like chemotherapy are standard cancer treatments.
  • Optimizing treatment strategies is crucial for efficacy and minimizing side effects.

Purpose of the Study:

  • To develop a delay differential model incorporating optimal control for cancer therapy.
  • To investigate the interactions between tumor cells, immune cells, and external therapy.
  • To identify optimal treatment strategies that balance tumor reduction and host cell preservation.

Main Methods:

  • A delay differential equation model was formulated.
  • Optimal control theory, including Pontryagin's maximum principle, was applied.
  • Numerical simulations were performed to analyze model behavior and treatment outcomes.

Main Results:

  • The model predicts a tumor-free steady state and multiple coexisting steady states.
  • Optimal control strategies effectively reduced tumor cell load and boosted effector cells.
  • Immunochemotherapy demonstrated superior performance over chemotherapy alone.

Conclusions:

  • Mathematical modeling with optimal control provides a framework for designing effective cancer therapies.
  • Intracellular delays are important considerations in modeling immune cell stimulation.
  • Combination therapies offer a promising approach for improved cancer treatment outcomes.