Mathematical modelling of tissue-engineering angiogenesis

Mathematical modelling of tissue-engineering angiogenesis

We present a mathematical model for the vascularisation of a porous scaffold following implantation in vivo. The model is given as a set of coupled non-linear ordinary differential equations (ODEs) which describe the evolution in time of the amounts of the different tissue constituents inside the sc...

Descripció completa

Dades bibliogràfiques
Autors principals:	Lemon, G, Howard, D, Tomlinson, M, Buttery, L, Rose, F, Waters, S, King, J
Format:	Journal article
Publicat:	2009

Ítems similars

Mathematical modelling of tissue-engineered angiogenesis.
per: Lemon, G, et al.
Publicat: (2009)

The use of rapid prototype pore model arrays to assess tissue ingress in the CAM assay
per: Howard, D, et al.
Publicat: (2008)

Mathematical modelling in tissue engineering
per: Green, J, et al.
Publicat: (2003)

Growth of the chorioallantoic membrane into a rapid-prototyped model pore system: experiments and mathematical model.
per: Lemon, G, et al.
Publicat: (2011)

Growth of the chorioallantoic membrane into a rapid-prototyped model pore system: experiments and mathematical model
per: Lemon, G, et al.
Publicat: (2010)

Mathematical modelling of engineered tissue growth using a multiphase porous flow mixture theory.
per: Lemon, G, et al.
Publicat: (2006)

Mathematical Model of Growth Factor Driven Haptotaxis and Proliferation in a Tissue Engineering Scaffold
per: Pohlmeyer, J, et al.
Publicat: (2013)

Mathematical model of growth factor driven haptotaxis and proliferation in a tissue engineering scaffold.
per: Pohlmeyer, J, et al.
Publicat: (2013)

Angiogenesis in Tissue Engineering: As Nature Intended?
per: Valeria Mastrullo, et al.
Publicat: (2020-03-01)

Angiogenesis mechanisms in transplantation of tissue-engineered constructions
per: R. Z. Nakokhov, et al.
Publicat: (2018-01-01)

On the mathematical modelling of tumor-induced angiogenesis
per: Luis L. Bonilla, et al.
Publicat: (2017-01-01)

Mathematical modelling of angiogenesis and vascular adaptation
per: Alarcon, T, et al.
Publicat: (2006)

Mathematical modelling of fibre-enhanced perfusion inside a tissue-engineering bioreactor
per: Whittaker, R, et al.
Publicat: (2009)

Adipogenesis and angiogenesis : roles in tissue engineering and glucose metabolism
per: Tam, Joshua
Publicat: (2010)

Tissue engineering strategies for the induction of angiogenesis using biomaterials
per: Shirin Saberianpour, et al.
Publicat: (2018-12-01)

Mathematical modelling of fibre-enhanced perfusion inside a tissue-engineering bioreactor.
per: Whittaker, R, et al.
Publicat: (2009)

Electrospun Nanofibers for Improved Angiogenesis: Promises for Tissue Engineering Applications
per: Simin Nazarnezhad, et al.
Publicat: (2020-08-01)

20 Mathematical modelling of angiogenesis and vascular adaptation
per: Alarcon, T, et al.
Publicat: (2005)

A model of wound-healing angiogenesis in soft tissue.
per: Pettet, G, et al.
Publicat: (1996)

Mathematical modelling of cell growth in tissue engineering bioreactors
per: Chapman, L
Publicat: (2015)

Tumor angiogenesis and vascular patterning: a mathematical model.
per: Rui D M Travasso, et al.
Publicat: (2011-01-01)

The Experimental Therapy on Brain Ischemia by Improvement of Local Angiogenesis with Tissue Engineering in the Mouse
per: Rongkai Ju, et al.
Publicat: (2014-01-01)

Wound healing angiogenesis the clinical implications of a simple mathematical model
per: Flegg, J, et al.
Publicat: (2011)

Wound healing angiogenesis: the clinical implications of a simple mathematical model.
per: Flegg, J, et al.
Publicat: (2012)

Direct reprogramming of fibroblasts into endothelial cells capable of angiogenesis and reendothelialization in tissue-engineered vessels.
per: Margariti, A, et al.
Publicat: (2012)

Cerebrospinal Fluid Pulsation Stress Promotes the Angiogenesis of Tissue-Engineered Laminae
per: Linli Li, et al.
Publicat: (2020-01-01)

Tissue engineering modalities in skeletal muscles: focus on angiogenesis and immunomodulation properties
per: Atieh Rezaei Namjoo, et al.
Publicat: (2023-04-01)

Angiogenesis, cell differentiation and cell survival in tissue engineering and cancer research
per: Tilkorn, Daniel Johannes
Publicat: (2015-08-01)

Correction: Tumor Angiogenesis and Vascular Patterning: A Mathematical Model.
per: Rui D. M. Travasso, et al.
Publicat: (2011-01-01)

Correction: Tumor Angiogenesis and Vascular Patterning: A Mathematical Model.
per: Rui D M Travasso, et al.
Publicat: (2016-01-01)

Stability of a mathematical model of tumour-induced angiogenesis
per: Dan Li, et al.
Publicat: (2016-05-01)

A Mathematical Model Coupling Tumor Growth and Angiogenesis.
per: Jiangping Xu, et al.
Publicat: (2016-01-01)

Unlocking the Promise of Decellularized Pancreatic Tissue: A Novel Approach to Support Angiogenesis in Engineered Tissue
per: Lei Hao, et al.
Publicat: (2024-02-01)

Mathematical modelling of flow and transport phenomena in tissue engineering
per: Pearson, N
Publicat: (2014)

Argon plasma surface modification promotes the therapeutic angiogenesis and tissue formation of tissue-engineered scaffolds in vivo by adipose-derived stem cells
per: M. F. Griffin, et al.
Publicat: (2019-03-01)

Magnetic Bone Tissue Engineering: Reviewing the Effects of Magnetic Stimulation on Bone Regeneration and Angiogenesis
per: Tiago P. Ribeiro, et al.
Publicat: (2023-03-01)

Reduced graphene oxide-loaded nanocomposite scaffolds for enhancing angiogenesis in tissue engineering applications
per: S. Chakraborty, et al.
Publicat: (2018-01-01)

Endometriosis, Angiogenesis and Tissue Factor
per: Graciela Krikun
Publicat: (2012-01-01)

Mathematics for engineers /
per: 205666 Rose, William Neville
Publicat: (1955)

A mathematical model of systemic inhibition of angiogenesis in metastatic development
per: Benzekry Sébastien, et al.
Publicat: (2014-09-01)