Growth of the chorioallantoic membrane into a rapid-prototyped model pore system: Experiments and mathematical model

Greg Lemon; Daniel Howard; Hongyi Yang; Svetan M. Ratchev; Joel I. Segal; Felicity R A J Rose; Oliver E. Jensen; Sarah L. Waters; John R. King

doi:10.1007/s10237-010-0254-2

Growth of the chorioallantoic membrane into a rapid-prototyped model pore system: Experiments and mathematical model

Greg Lemon, Daniel Howard, Hongyi Yang, Svetan M. Ratchev, Joel I. Segal, Felicity R A J Rose, Oliver E. Jensen, Sarah L. Waters, John R. King

Research output: Contribution to journal › Article › peer-review

Abstract

This paper presents a mathematical model to describe the growth of tissue into a rapid-prototyped porous scaffold when it is implanted onto the chorioallantoic membrane (CAM). The scaffold was designed to study the effects of the size and shape of pores on tissue growth into conventional tissue engineering scaffolds, and consists of an array of pores each having a pre-specified shape. The experimental observations revealed that the CAMgrows through each pore as an intact layer of tissue, provided the width of the pore exceeds a threshold value. Based on these results a mathematical model is described to simulate the growth of the membrane, assuming that the growth is a function of the local isotropic membrane tension. The model predictions are compared against measurements of the extent of membrane growth through the pores as a function of time for pores with different dimensions. © Springer-Verlag 2010.

Original language	English
Pages (from-to)	539-558
Number of pages	19
Journal	Biomechanics and modeling in mechanobiology
Volume	10
Issue number	4
DOIs	https://doi.org/10.1007/s10237-010-0254-2
Publication status	Published - Jul 2011

Keywords

Angiogenesis assay
Biomechanics
Chorioallantoic membrane
Mathematical model
Partial differential equations
Tissue engineering

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10.1007/s10237-010-0254-2

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title = "Growth of the chorioallantoic membrane into a rapid-prototyped model pore system: Experiments and mathematical model",

abstract = "This paper presents a mathematical model to describe the growth of tissue into a rapid-prototyped porous scaffold when it is implanted onto the chorioallantoic membrane (CAM). The scaffold was designed to study the effects of the size and shape of pores on tissue growth into conventional tissue engineering scaffolds, and consists of an array of pores each having a pre-specified shape. The experimental observations revealed that the CAMgrows through each pore as an intact layer of tissue, provided the width of the pore exceeds a threshold value. Based on these results a mathematical model is described to simulate the growth of the membrane, assuming that the growth is a function of the local isotropic membrane tension. The model predictions are compared against measurements of the extent of membrane growth through the pores as a function of time for pores with different dimensions. {\textcopyright} Springer-Verlag 2010.",

keywords = "Angiogenesis assay, Biomechanics, Chorioallantoic membrane, Mathematical model, Partial differential equations, Tissue engineering",

author = "Greg Lemon and Daniel Howard and Hongyi Yang and Ratchev, {Svetan M.} and Segal, {Joel I.} and Rose, {Felicity R A J} and Jensen, {Oliver E.} and Waters, {Sarah L.} and King, {John R.}",

note = "Lemon, Greg Howard, Daniel Yang, Hongyi Ratchev, Svetan M. Segal, Joel I. Rose, Felicity R. A. J. Jensen, Oliver E. Waters, Sarah L. King, John R.",

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AU - Lemon, Greg

AU - Howard, Daniel

AU - Yang, Hongyi

AU - Ratchev, Svetan M.

AU - Segal, Joel I.

AU - Rose, Felicity R A J

AU - Jensen, Oliver E.

AU - Waters, Sarah L.

AU - King, John R.

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AB - This paper presents a mathematical model to describe the growth of tissue into a rapid-prototyped porous scaffold when it is implanted onto the chorioallantoic membrane (CAM). The scaffold was designed to study the effects of the size and shape of pores on tissue growth into conventional tissue engineering scaffolds, and consists of an array of pores each having a pre-specified shape. The experimental observations revealed that the CAMgrows through each pore as an intact layer of tissue, provided the width of the pore exceeds a threshold value. Based on these results a mathematical model is described to simulate the growth of the membrane, assuming that the growth is a function of the local isotropic membrane tension. The model predictions are compared against measurements of the extent of membrane growth through the pores as a function of time for pores with different dimensions. © Springer-Verlag 2010.

KW - Angiogenesis assay

KW - Biomechanics

KW - Chorioallantoic membrane

KW - Mathematical model

KW - Partial differential equations

KW - Tissue engineering

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M3 - Article

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JO - Biomechanics and modeling in mechanobiology

JF - Biomechanics and modeling in mechanobiology

IS - 4

ER -

Growth of the chorioallantoic membrane into a rapid-prototyped model pore system: Experiments and mathematical model

Abstract

Keywords

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