Mathematical Model of Growth Factor Driven Haptotaxis and Proliferation in a Tissue Engineering Scaffold
- PDF / 2,012,214 Bytes
- 35 Pages / 439.37 x 666.142 pts Page_size
- 33 Downloads / 207 Views
Mathematical Model of Growth Factor Driven Haptotaxis and Proliferation in a Tissue Engineering Scaffold J.V. Pohlmeyer · S.L. Waters · L.J. Cummings
Received: 1 October 2012 / Accepted: 7 January 2013 / Published online: 29 January 2013 © Society for Mathematical Biology 2013
Abstract Motivated by experimental work (Miller et al. in Biomaterials 27(10):2213 –2221, 2006, 32(11):2775–2785, 2011) we investigate the effect of growth factor driven haptotaxis and proliferation in a perfusion tissue engineering bioreactor, in which nutrient-rich culture medium is perfused through a 2D porous scaffold impregnated with growth factor and seeded with cells. We model these processes on the timescale of cell proliferation, which typically is of the order of days. While a quantitative representation of these phenomena requires more experimental data than is yet available, qualitative agreement with preliminary experimental studies (Miller et al. in Biomaterials 27(10):2213–2221, 2006) is obtained, and appears promising. The ultimate goal of such modeling is to ascertain initial conditions (growth factor distribution, initial cell seeding, etc.) that will lead to a final desired outcome. Keywords Perfusion based bioreactor · Haptotaxis tissue engineering
1 Introduction Tissue engineering is a relatively young field, yet one whose importance cannot be overstated. There is a shortage of available organs for those in need of transplants
Electronic supplementary material The online version of this article (doi:10.1007/s11538-013-9810-0) contains supplementary material, which is available to authorized users. J.V. Pohlmeyer · L.J. Cummings () Department of Mathematical Sciences, New Jersey Institute of Technology, University Heights, Newark, NJ 07102, USA e-mail: [email protected] S.L. Waters Oxford Centre for Industrial and Applied Mathematics, Oxford Centre for Collaborative Applied Mathematics, University of Oxford, 24–29 St Giles’, Oxford, OX1 3LB, UK
394
J.V. Pohlmeyer et al.
(Curtis and Riehle 2001), and the situation will worsen as the world’s population continues to increase and age. Many different tissue engineering protocols have been and continue to be researched to determine if it is possible to grow tissue to implant into a patient. In an ideal situation, it would be desirable to harvest an individual’s own cells, grow the specific type of tissue needed outside the body, and then re-implant when the tissue is viable. This method of in vitro tissue engineering using the patient’s own tissue greatly reduces the risk of tissue rejection. Conducting a large suite of experiments in which tissue is grown within the laboratory undoubtedly provides the best indicator of likely success; however, the time taken for tissue to grow, the “trial and error” nature of optimizing the outcome, and the costly possibility of human or mechanical error in running the experiments makes this approach inefficient for testing purposes. Mathematically modeling the growing tissue can be a useful way to augment such experimental program
Data Loading...
