Andrew, Tricity

Haider, Mansoor A

English

VCU Scholars Compass

Virginia Commonwealth UniversityVCU Scholars CompassBiology and Medicine Through MathematicsConference 2017May 18th, 6:30 PM - 7:00 PMA phenomenological mixture model for growth oftissue engineered cartilage in cell-seeded scaffoldsTricity AndrewNorth Carolina State University, tmandre2@ncsu.eduMansoor A. HaiderNorth Carolina State UniversityFollow this and additional works at: http://scholarscompass.vcu.edu/bammPart of the Life Sciences Commons, Medicine and Health Sciences Commons, and the PhysicalSciences and Mathematics CommonsThis Event is brought to you for free and open access by the Dept. of Mathematics and Applied Mathematics at VCU Scholars Compass. It has beenaccepted for inclusion in Biology and Medicine Through Mathematics Conference by an authorized administrator of VCU Scholars Compass. Formore information, please contact libcompass@vcu.edu.http://scholarscompass.vcu.edu/bamm/2017/thursday/24A	phenomenological	mixture	model	for	growth	of	tissue	engineered	cartilage	in	cell-seeded	scaffolds		Tricity	Andrew	and	Mansoor	A.	Haider,	Dept.	of	Mathematics,	North	Carolina	State	University,	Raleigh	NC,	27695		We	extend	a	prior	phenomenological	(ODE)	mixture	model	that	captured	interactions	between	extracellular	matrix	(ECM)	biosynthesis	and	linking	in	a	cell-scaffold	seeded,	but	neglected	cell	proliferation.		The	extended	model	is	comprised	of	a	system	of	ordinary	differential	equations	for	average	apparent	densities	of	the	unlinked	ECM,	linked	ECM,	scaffold,	and	biological	cells	along	with	initial	conditions	that	describe	scaffold	material	properties.		The	dynamic	model	for	cell	proliferation	accounts	for	both	the	cells’	ability	to	adhere	to	the	solid	phase	and	the	ease	with	which	they	can	spread	through	the	open	pores	of	the	evolving	mixture.		A	parametric	analysis	is	carried	out	for	the	resulting	initial	value	problem	to	analyze	the	effects	of	initial	scaffold	properties	and	biological	interaction	mechanisms	on	key	functional	outcomes	in	the	engineered	construct.		

A phenomenological mixture model for growth of tissue engineered cartilage in cell-seeded scaffolds

https://scholarscompass.vcu.edu/cgi/viewcontent.cgi?article=1134&context=bamm

A phenomenological mixture model for growth of tissue engineered cartilage in cell-seeded scaffolds

Abstract

Similar works

Full text

Available Versions

VCU Scholars Compass