From the mathematical kinetic, and stochastic game theory to modelling mutations, onset, progression and immune competition of cancer cells

N Bellomo, M Delitala - Physics of Life Reviews, 2008 - Elsevier
This paper deals with a review and critical analysis on the mathematical kinetic theory of
active particles applied to the modelling of the very early stage of cancer phenomena …

Hyperbolic and kinetic models for self-organized biological aggregations and movement: a brief review

R Eftimie - Journal of mathematical biology, 2012 - Springer
We briefly review hyperbolic and kinetic models for self-organized biological aggregations
and traffic-like movement. We begin with the simplest models described by an advection …

Mathematical topics on the modelling complex multicellular systems and tumor immune cells competition

N Bellomo, A Bellouquid, M Delitala - Mathematical Models and …, 2004 - World Scientific
This paper deals with a critical analysis and some developments related to the mathematical
literature on multiscale modelling of multicellular systems involving tumor immune cells …

On immunotherapies and cancer vaccination protocols: a mathematical modelling approach

B Joshi, X Wang, S Banerjee, H Tian… - Journal of theoretical …, 2009 - Elsevier
In this paper we develop a new mathematical model of immunotherapy and cancer
vaccination, focusing on the role of antigen presentation and co-stimulatory signaling …

Multiscale modeling and mathematical problems related to tumor evolution and medical therapy

N Bellomo, E De Angelis… - … Mathematical Methods in …, 2003 - Wiley Online Library
This paper provides a survey of mathematical models and methods dealing with the analysis
and simulation of tumor dynamics in competition with the immune system. The characteristic …

A mathematical model of gene therapy for the treatment of cancer

A Tsygvintsev, S Marino, DE Kirschner - Mathematical Methods and …, 2012 - Springer
Cancer is a major cause of death worldwide, resulting from the uncontrolled growth of
abnormal cells in the body. Cells are the body's building blocks, and cancer starts from …

[图书][B] Towards a mathematical theory of complex biological systems

N Bellomo, C Bianca - 2011 - books.google.com
This monograph has the ambitious aim of developing a mathematical theory of complex
biological systems with special attention to the phenomena of ageing, degeneration and …

On the interplay between mathematics and biology: Hallmarks toward a new systems biology

N Bellomo, A Elaiw, AM Althiabi, MA Alghamdi - Physics of life reviews, 2015 - Elsevier
This paper proposes a critical analysis of the existing literature on mathematical tools
developed toward systems biology approaches and, out of this overview, develops a new …

Employing dynamical computational models for personalizing cancer immunotherapy

Z Agur, K Halevi-Tobias, Y Kogan… - Expert opinion on …, 2016 - Taylor & Francis
Introduction: Recently, cancer immunotherapy has shown considerable success, but due to
the complexity of the immune-cancer interactions, clinical outcomes vary largely between …

Predicting the firing behaviour of neural network through the bifurcation analysis of derivative mean-field model

J Wang, J Xu, X Mo, J Qiu - Chinese Journal of Physics, 2024 - Elsevier
The mean-field model is an important method for understanding the complex dynamics of
the nervous system at different spatial levels and for simulating and theoretically analysing …