From concept to clinic: Mathematically informed immunotherapy

R Walker, H Enderling - Current Problems in Cancer, 2016 - Elsevier
Mathematical modeling has become a valuable tool in the continued effort to understand,
predict, and ultimately treat a wide range of cancers in recent years. 1, 2 By describing …

Modeling and simulation of the immune system as a self-regulating network

PS Kim, D Levy, PP Lee - Methods in enzymology, 2009 - Elsevier
Numerous aspects of the immune system operate on the basis of complex regulatory
networks that are amenable to mathematical and computational modeling. Several modeling …

A mathematical model of cancer treatment by immunotherapy

F Nani, HI Freedman - Mathematical biosciences, 2000 - Elsevier
In this paper, a detailed mathematical study of cancer immunotherapy will be presented.
General principles of cancer immunotherapy and the model equations and hypotheses will …

QSP‐IO: a quantitative systems pharmacology toolbox for mechanistic multiscale modeling for immuno‐oncology applications

RJ Sové, M Jafarnejad, C Zhao, H Wang… - CPT …, 2020 - Wiley Online Library
Immunotherapy has shown great potential in the treatment of cancer; however, only a
fraction of patients respond to treatment, and many experience autoimmune‐related side …

Hopf bifurcation and chaos of tumor-Lymphatic model with two time delays

J Wang, H Shi, L Xu, L Zang - Chaos, Solitons & Fractals, 2022 - Elsevier
In this paper, a tumor and Lymphatic immune system interaction model with two time delays
is discussed in which the delays describe the proliferation of tumor cells and the …

Modeling protective anti-tumor immunity via preventative cancer vaccines using a hybrid agent-based and delay differential equation approach

PS Kim, PP Lee - PLoS computational biology, 2012 - journals.plos.org
A next generation approach to cancer envisions developing preventative vaccinations to
stimulate a person's immune cells, particularly cytotoxic T lymphocytes (CTLs), to eliminate …

A dynamical model of tumour immunotherapy

F Frascoli, PS Kim, BD Hughes, KA Landman - Mathematical biosciences, 2014 - Elsevier
A coupled ordinary differential equation model of tumour-immune dynamics is presented
and analysed. The model accounts for biological and clinical factors which regulate the …

Systems immunology: a survey of modeling formalisms, applications and simulation tools

V Narang, J Decraene, SY Wong, BS Aiswarya… - Immunologic …, 2012 - Springer
Immunological studies frequently analyze individual components (eg, signaling pathways) of
immune systems in a reductionist manner. In contrast, systems immunology aims to give a …

A model of tumor and lymphocyte interactions

AH Lin - Discrete and Continuous Dynamical Systems-B, 2003 - aimsciences.org
The interactions between a solid tumor and the immune system are described both prior to
and after neovascularization by a predator-prey model, and predictions about tumor …

Understanding natural killer cell regulation by mathematical approaches

C Watzl, M Sternberg-Simon, D Urlaub… - Frontiers in …, 2012 - frontiersin.org
The activity of natural killer (NK) cells is regulated by various processes including
education/licensing, priming, integration of positive and negative signals through an array of …