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Mathematical modeling of tumor-immune cell interactions
The anti-tumor activity of the immune system is increasingly recognized as critical for the
mounting of a prolonged and effective response to cancer growth and invasion, and for …
mounting of a prolonged and effective response to cancer growth and invasion, and for …
A decade of thermostatted kinetic theory models for complex active matter living systems
C Bianca - Physics of Life Reviews, 2024 - Elsevier
In the last decade, the thermostatted kinetic theory has been proposed as a general
paradigm for the modeling of complex systems of the active matter and, in particular, in …
paradigm for the modeling of complex systems of the active matter and, in particular, in …
Dynamic interplay between tumour, stroma and immune system can drive or prevent tumour progression
In the tumour microenvironment, cancer cells directly interact with both the immune system
and the stroma. It is firmly established that the immune system, historically believed to be a …
and the stroma. It is firmly established that the immune system, historically believed to be a …
Modeling the dynamics of tumor–immune cells interactions via fractional calculus
The immune response in the tumor micro-environment is a complicated biological
phenomenon that needs to be investigated further. It is eminent that tumor is murderous and …
phenomenon that needs to be investigated further. It is eminent that tumor is murderous and …
The influence of time delay in a chaotic cancer model
The tumor-immune interactive dynamics is an evergreen subject that continues to draw
attention from applied mathematicians and oncologists, especially so due to the …
attention from applied mathematicians and oncologists, especially so due to the …
A time delay model of tumour–immune system interactions: Global dynamics, parameter estimation, sensitivity analysis
Recently, a large number of mathematical models that are described by delay differential
equations (DDEs) have appeared in the life sciences. In this paper, we present a delay …
equations (DDEs) have appeared in the life sciences. In this paper, we present a delay …
[HTML][HTML] Optimal control of variable-order fractional model for delay cancer treatments
This article presents a fractional-order mathematical model of the biological phenomena that
occur in cancer therapy. The formulation generalizes the one proposed by Soto-Ortiza and …
occur in cancer therapy. The formulation generalizes the one proposed by Soto-Ortiza and …
Mathematical modeling of tumor-immune competitive system, considering the role of time delay
In this paper, we consider a three-dimensional nonlinear delay differential system (tumor
cells, cytotoxic-T lymphocytes, T-helper cells) with single interaction delay. We perform …
cells, cytotoxic-T lymphocytes, T-helper cells) with single interaction delay. We perform …
How tumor growth can be influenced by delayed interactions between cancer cells and the microenvironment?
Although recent advances in oncology emphasized the role of microenvironment in tumor
growth, the role of delays for modeling tumor growth is still uncertain. In this paper, we …
growth, the role of delays for modeling tumor growth is still uncertain. In this paper, we …
[HTML][HTML] Nonlinear dynamics in tumor-immune system interaction models with delays
In this paper, we review some recent results on the nonlinear dynamics of delayed
differential equation models describing the interaction between tumor cells and effector cells …
differential equation models describing the interaction between tumor cells and effector cells …