Mathematical modeling of tumor-immune cell interactions.

@article{Mahlbacher2019MathematicalMO,
  title={Mathematical modeling of tumor-immune cell interactions.},
  author={Grace E Mahlbacher and Kara C Reihmer and Hermann B. Frieboes},
  journal={Journal of theoretical biology},
  year={2019},
  volume={469},
  pages={
          47-60
        }
}
Mathematical Modelling of the Inhibitory Role of Regulatory T Cells in Tumor Immune Response
TLDR
This model shows that Tregs might play a crucial role in triggering the tumor immune escape, and introduces the adoptive cellular immunotherapy and monoclonal antibody immunotherapy as the treatment to boost the immune system to fight against tumors.
Modeling Radioimmune Response—Current Status and Perspectives
TLDR
This work reviews the existing modeling approaches of combined ‘radioimmune’ response, as well as associated fields of study, and proposes modeling attempts that appear relevant for an effective and predictive model.
Modeling immune cell behavior across scales in cancer
TLDR
Computer modeling is shown to provide detailed quantitative insight into immune cell behavior and immunotherapeutic strategies, but there are gaps in the literature, and areas where additional modeling efforts should be focused to more prominently impact the understanding of the complexities of the immune system in the context of cancer.
Circulating immune cell phenotype dynamics reflect the strength of tumor–immune cell interactions in patients during immunotherapy
TLDR
An ecological population model fitted to clinical tumor burden and immune cell abundance data from each patient finds evidence of a strong tumor-circulating immune cell interaction in responder patients but not in those patients that progress on treatment, similar to models of predator–prey interactions.
Circulating immune cell phenotype dynamics reflect the strength of tumor-immune cell interactions in patients during immunotherapy
TLDR
Evidence is provided of a dynamic predator-prey like relationship between circulating immune cell abundance and tumor size in patients that respond to immunotherapy, and of a strong tumor-circulating immune cell interaction in responder patients, but not those patients that progress on treatment.
Divergent resistance mechanisms to immunotherapy explains response in different skin cancers
TLDR
When comparing the immune transcriptome in the tumor microenvironment of melanoma and basal cell carcinoma, it is found that the presence of memory B cells and macrophages negatively correlate when stratifying patients by response, with memory B Cells more present in responders.
CAR T cell therapy in B-cell acute lymphoblastic leukaemia: Insights from mathematical models
TLDR
A mathematical model is put forward describing the time response of leukaemias to the injection of CAR T-cells and predicts that CD19+ tumor relapses could be the result of the competition between tumor and CAR T cells analogous to predator-prey dynamics.
...
...

References

SHOWING 1-10 OF 125 REFERENCES
A mathematical model of tumor-immune interactions.
A Validated Mathematical Model of Cell-Mediated Immune Response to Tumor Growth
TLDR
A new mathematical model that describes tumor-immune interactions, focusing on the role of natural killer and CD8+ T cells in tumor surveillance, is presented, with the goal of understanding the dynamics of immune-mediated tumor rejection.
Modeling the Dichotomy of the Immune Response to Cancer: Cytotoxic Effects and Tumor-Promoting Inflammation
TLDR
The ability of this model to predict non-intuitive yet clinically observed patterns of immunomodulated tumor growth suggests that it may provide a means to help classify patient response dynamics to aid identification of appropriate treatments exploiting immune response to improve tumor suppression, including the potential attainment of an immune-induced dormant state.
Modeling immunotherapy of the tumor – immune interaction
TLDR
The dynamics between tumor cells, immune-effector cells, and IL-2 are illustrated through mathematical modeling and the effects of adoptive cellular immunotherapy are explored to explain both short tumor oscillations in tumor sizes as well as long-term tumor relapse.
Multiscale Agent-Based and Hybrid Modeling of the Tumor Immune Microenvironment
TLDR
The state of the art in the applications of agent-based models (ABM) and hybrid modeling to the tumor immune microenvironment and cancer immune response, including immunotherapy is summarized.
Mathematical modeling of tumor-associated macrophage interactions with the cancer microenvironment
TLDR
The results show that M2 presence leads to larger tumor growth regardless of TEM effects, implying that immunotherapeutic strategies that lead to TEM ablation may fail to restrain growth when the M2 represents a sizeable population.
Modeling cancer-immune responses to therapy
TLDR
In this chapter, various mathematical models that address different cancer treatments, including cytotoxic chemotherapy, immunotherapy, and combinations of both treatments, are presented and the power of these approaches is demonstrated in explaining determinants that are fundamental to cancer-immune dynamics, therapeutic success, and the development of efficient therapies.
Mathematical modeling on helper T cells in a tumor immune system
TLDR
The results show that HTCs might play a crucial role in the long term periodic oscillation behaviors of tumor immune system interactions and show that TCs may be eradicated from the patient's body under the ACI treatment.
...
...