Towards a unified approach in the modeling of fibrosis: A review with research perspectives
MB Amar, C Bianca - Physics of life reviews, 2016 - Elsevier
Pathological fibrosis is the result of a failure in the wound healing process. The
comprehension and the related modeling of the different mechanisms that trigger fibrosis are …
comprehension and the related modeling of the different mechanisms that trigger fibrosis are …
A quantitative cellular automaton model of in vitro multicellular spheroid tumour growth
MJ Piotrowska, SD Angus - Journal of theoretical biology, 2009 - Elsevier
We report numerical results from a 2D cellular automaton (CA) model describing the
dynamics of the in vitro cultivated multicellular spheroid obtained from EMT6/Ro (mammary …
dynamics of the in vitro cultivated multicellular spheroid obtained from EMT6/Ro (mammary …
Analysis of the Hopf bifurcation for the family of angiogenesis models
MJ Piotrowska, U Foryś - Journal of Mathematical Analysis and …, 2011 - Elsevier
In this paper we study a family of models with delays describing the process of
angiogenesis, that is a physiological process involving the growth of new blood vessels from …
angiogenesis, that is a physiological process involving the growth of new blood vessels from …
Mathematical modelling of immune reaction against gliomas: Sensitivity analysis and influence of delays
In the paper we considered a model of immune reaction against malignant glioma. The
model proposed by Kronik et al.(Cancer Immunol. Immunother., 2008) describes simplified …
model proposed by Kronik et al.(Cancer Immunol. Immunother., 2008) describes simplified …
The time delays' effects on the qualitative behavior of an economic growth model
C Bianca, M Ferrara, L Guerrini - Abstract and applied analysis, 2013 - Wiley Online Library
A further generalization of an economic growth model is the main topic of this paper. The
paper specifically analyzes the effects on the asymptotic dynamics of the Solow model when …
paper specifically analyzes the effects on the asymptotic dynamics of the Solow model when …
Analysis of a solid avascular tumor growth model with time delays in proliferation process
S Xu, M Bai, X Zhao - Journal of Mathematical Analysis and Applications, 2012 - Elsevier
In this paper we study a free boundary problem modeling solid avascular tumor growth. The
model is based on the reaction–diffusion dynamics and mass conservation law. The model …
model is based on the reaction–diffusion dynamics and mass conservation law. The model …
Analysis of a free boundary problem for tumor growth with angiogenesis and time delays in proliferation
S Xu - Nonlinear Analysis: Real World Applications, 2020 - Elsevier
In this paper we consider a free boundary problem for tumor growth with angiogenesis and
time delays in the process of proliferation. The model is established by using reaction …
time delays in the process of proliferation. The model is established by using reaction …
Analysis of a free boundary problem for vascularized tumor growth with a necrotic core and time delays
S Xu, Z Xuan - Nonlinear Analysis: Real World Applications, 2023 - Elsevier
In this paper a free boundary problem for vascularized tumor growth with a necrotic core and
time delays is studied. In the problem, there are two free boundaries, one is the outer …
time delays is studied. In the problem, there are two free boundaries, one is the outer …
[HTML][HTML] Analysis of tumor-immune dynamics in a delayed dendritic cell therapy model
LR Dickman, Y Kuang - Chaos: An Interdisciplinary Journal of …, 2020 - pubs.aip.org
We formulate a tumor-immune interaction model with a constant delay to capture the
behavior following application of a dendritic cell therapy. The model is validated using …
behavior following application of a dendritic cell therapy. The model is validated using …
Hopf bifurcation of a free boundary problem modeling tumor growth with angiogenesis and two time delays
H Zhou, Z Wang, D Yuan, H Song - Chaos, Solitons & Fractals, 2021 - Elsevier
This paper concerns a free boundary problem modeling tumor growth with angiogenesis
and two time delays. The two delays represent the time taken for cells to undergo mitosis …
and two time delays. The two delays represent the time taken for cells to undergo mitosis …