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Problem set about Materials for Biomedical Applications with solutions
Typology: Exercises
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See Fig. 3, top images, in Li, Shihong, Joost de Wijn, Jiaping Li, Pierre Layrolle, and Klaas de Groot. "Macroporous Biphasic Calcium Phosphate Scaffold with High Permeability/Porosity Ratio." Tissue Eng 9 (2003): 535-548.
a) (4 pts) What aspects of the primary chemical structure, higher order (meso) structure and/or microstructure make these scaffolds useful for bone tissue engineering?
Calcium phosphate is chosen for this application because it can be resorbed in vivo through action by osteoclasts (bone remodeling cells) and is biocompatible (hydroxyapatite is the mineral component of bone.) The porous microstructure enables bone cells to penetrate the structure and allows transport of vital nutrients.
b) (6 pts) Download the article by De Groot and coworkers through the MIT library. What processing approaches resulted in the dramatically different pore morphologies observed in the SEM images for the 3 BCP scaffolds?
The BCP scaffold by Zimmer was prepared by compressing hydroxyapatite (HA) and tricalcium phosphate (TCP) powders with naphthalene particles, followed by pyrolisis of the naphthalene and sintering to produce the porous structure shown. The Dytech scaffold was produced by foaming a slurry of HA and TCP powders, water and surfactant with nitrogen, followed by calcination and sintering. The IsoTis scaffold was prepared by molding a mixture containing a BCP slurry, polymethyl methacrylate (PMMA), MMA monomer, and naphthalene, followed by pyrolysis of the organic components and sintering.
c) (2pts) A table of the scaffold porosities and specific permeabilities measured by De Groot and coworkers is provided below. Explain why the IsoTis scaffold, with the lowest porosity, exhibits the highest permeability.
Manufacturer Specific permeability (m^2 ) Porosity (%)
Zimmer (^) 0.02 × 10 -9^75
Dytech (^) 0.12 × 10 -9^80
IsoTis (^) 0.34 × 10 -9^60
The permeability of the IsoTis scaffold is highest because of the interconnectivity of its pores. The methods of manufacture for the Zimmer and Dytech scaffolds led to more isolated pores that are not as useful for tissue engineering.
a) (3 pts) Explain why the advancing contact angle first decreases then plateaus as the block copolymer content in the blend is increased.
As block copolymer is added to the blend, it segregates to the blend surface with the PME3MA block located preferentially at the surface. As the block copolymer content reaches ~20%, the surface is saturated with block copolymer, so that further addition does not result in a further decrease in contact angle.
b) (6 pts) What possible energetic driving forces might lead to the phenomenon in (a)?
The surface segregation of the block copolymer may be driven by entropic and enthalpic forces, including i) a positive enthalpy of mixing for PS and PME3MA, which favors exclusion of PME3MA from the bulk film; ii) lower surface energy of the methyl groups on the side chains of PME3MA; and iii) chain end localization at the surface to reduce entropic penalties associated with surface restrictions on polymer chain conformations.
c) (3 pts) Based on the contact angle data, approximate the composition of the surface for 10 wt% bulk concentration of PS- b -PME3MA.
Rearranging Cassie’s equation, fPS =
From advancing angle data at fPS = 1, 0.9 and 0,
a) (3 pts) Can the work of cohesion for titanium oxide be estimated from the measurements of Chen et al.? Explain.
The titanium oxide surfaces are not pure oxide interfaces, since the measured surface energies are an order of magnitude lower than one might expect for a metal oxide. Thus the work of cohesion cannot be accurately calculated from these measured values.
b) (3 pts) What chemical groups might you expect to observe on the titanium oxide surface?
It is likely that water and carbon dioxide from the atmosphere have chemisorbed on the surface. One could expect to find –OH groups from water adsorption, and CO 3 2- groups. Hydrocarbons might also be physisorbed on the surface.
c) (2 pts) Why is the measured surface energy of the titanium oxide coating lower after heat treatment?
During crystallization, the atoms rearrange to allow lower energy planes to facet the surface, reducing the oxide surface energy relative to the amorphous oxide surface.
d) (4 pts) Based on the surface energies provided, calculate the work of adhesion between the surface and water for the amorphous and crystalline coatings. How might this influence protein adsorption?
material (^) γp^ (dyn/cm) γd^ (dyn/cm) γ (dyn/cm) amorphous titanium oxide 30 29 59
crystalline titanium oxide 14 26 40
water 51 22 73
The work of adhesion between water and the crystalline oxide is given by:
W^ p^ d CW =^ 2(^ γ γ^
p (^) )1/ 2 (^) + 2( γ γ d (^) )1/ 2 (^) = 101 dyn/cm C W C W
The work of adhesion between the amorphous oxide and water can be similarly calculated as:
WAW = 131 dyn/cm
The higher work of adhesion of water to the amorphous phase might suggest that water molecules will be more difficult to displace by proteins on the amorphous surface than the crystalline surface.