A multiscale analysis of nutrient transport and biological tissue growth in vitro.
A multiscale analysis of nutrient transport and biological tissue growth in vitro.
复制标题
体外营养物质运输和生物组织生长的多尺度分析。
DOI：
10.1093/imammb/dqu015
复制
发表时间：
2015
期刊：
影响因子：
--
通讯作者：
O'Dea RD
中科院分区：
文献类型：
--
作者：
O'Dea RD
In this paper, we consider the derivation of macroscopic equations appropriate to describe the growth of biological tissue, employing a multiple-scale homogenization method to accommodate explicitly the influence of the underlying microscale structure of the material, and its evolution, on the macroscale dynamics. Such methods have been widely used to study porous and poroelastic materials; however, a distinguishing feature of biological tissue is its ability to remodel continuously in response to local environmental cues. Here, we present the derivation of a model broadly applicable to tissue engineering applications, characterized by cell proliferation and extracellular matrix deposition in porous scaffolds used within tissue culture systems, which we use to study coupling between fluid flow, nutrient transport, and microscale tissue growth. Attention is restricted to surface accretion within a rigid porous medium saturated with a Newtonian fluid; coupling between the various dynamics is achieved by specifying the rate of microscale growth to be dependent upon the uptake of a generic diffusible nutrient. The resulting macroscale model comprises a Darcy-type equation governing fluid flow, with flow characteristics dictated by the assumed periodic microstructure and surface growth rate of the porous medium, coupled to an advection–reaction equation specifying the nutrient concentration. Illustrative numerical simulations are presented to indicate the influence of microscale growth on macroscale dynamics, and to highlight the importance of including experimentally relevant microstructural information to correctly determine flow dynamics and nutrient delivery in tissue engineering applications.
登录
查看更多内容
DOI：
10.1093/imammb/dqp015
发表时间：
2010-03-01
影响因子：
1.1
作者：
Fozard, J. A.;Byrne, H. M.;King, J. R.
通讯作者：
King, J. R.
影响因子：
3.5
作者：
Shipley, Rebecca J.;Chapman, S. Jonathan
通讯作者：
Chapman, S. Jonathan
通过细胞间信号传导进行模式形成的多尺度分析。
影响因子：
4.3
作者：
R. O’Dea;J. R. King
通讯作者：
J. R. King
从生物细胞运动的离散模型到连续模型。
DOI：
--
发表时间：
2004
期刊：
Physical review. E, Statistical, nonlinear, and soft matter physics
影响因子：
--
作者：
Stephen Turner;J. Sherratt;K. Painter;N. Savill
通讯作者：
N. Savill
影响因子：
4.3
作者：
Bridge, L. J.;King, J. R.;Owen, M. R.
通讯作者：
Owen, M. R.