A multiscale mechanobiological modelling framework using agent-based models and finite element analysis: application to vascular tissue engineering

Computational models of mechanobiological systems have been widely used to provide insight into these systems and also to predict their behaviour. In this context, vascular tissue engineering benefits from further attention given the challenges involved in developing functional low calibre vascular grafts with long-term patency. In this study, a novel multiscale mechanobiological modelling framework is presented, which takes advantage of lattice-free agent-based models coupled with the finite element method to investigate the dynamics of VSMC growth in vascular tissue engineering scaffolds. The results illustrate the ability of the mechanobiological modelling approach to capture complex multiscale mechanobiological phenomena. Specifically, the framework enabled the study of the influence of scaffold compliance and loading regime in regulating the growth of VSMCs in vascular scaffolds and their role in development of intimal hyperplasia (IH). The model demonstrates that low scaffold compliance compared to host arteries leads to increased luminal ingrowth and IH development. In addition, culture of a tissue-engineered blood vessel under a pulsatile luminal pressure reduced luminal ingrowth and enhanced collagen synthesis within the scaffold compared to non-pulsatile culture. The mechanobiological framework presented provides a robust platform for testing hypotheses in vascular tissue engineering and lends itself to use as an optimisation design tool.     

An investigation into the role of different constituents in damage accumulation in arterial tissue and constitutive model development

Carotid atherosclerotic plaque rupture is one of the leading causes of stroke. Treatments for atherosclerosis can induce tissue damage during the deployment of an intravascular device or through external tissue clamping during surgery. In this paper, a constituent specific study was performed to investigate the role of the ground matrix and collagen fibres of arterial tissue in response to supra-physiological loads. Cyclic mechanical tests were conducted on intact and collagenase-digested strips of porcine common carotid arteries. Using these tests, four passive damage-relevant phenomena were studied, namely (i) Mullins effect, (ii) hysteresis, (iii) permanent set and (iv) matrix failure and fibre rupture. A constitutive model was also developed to capture all of these damage-relevant phenomena using a continuum damage mechanics approach. The implemented constitutive model was fit to experimental results for both intact and digested samples. The results of this work demonstrate the important role of the ground matrix in the permanent deformation of the arterial tissue under high loads. Supra-physiological load-induced tissue damage may play a key role in vascular remodelling in arteries with atherosclerosis or following interventional procedures.     

Characterization of polymorphic microsatellites for the periwinkle gastropod, Littorina littorea (Linnaeus, 1758) and their cross-amplification in four congeners

Eight polymorphic microsatellite loci are described for Littorina littorea (Linnaeus, 1758). Data on allelic variation in Irish and Celtic Sea samples are reported. The average number of alleles per locus was 11 (range 4–29), and observed and expected heterozygosities ranged from 6.9 to 84.3% and from 9.4 to 95.2%, respectively. Loci did not deviate from Hardy–Weinberg equilibrium and no linkage disequilibrium between loci pairs was detected. Microsatellites were not highly conserved in the congeners, L. fabalis, L. saxatilis, L. compressa and L. obtusata as evidenced by a low rate of cross-amplification. These microsatellites should prove useful in population genetic studies.     

Distribution and range expansion of deer in Ireland

• 1 Throughout Europe, the range of many deer species is expanding. We provide current distribution maps for red deer Cervus elaphus, sika Cervus nippon, fallow deer Dama dama and muntjac deer Muntiacus sp. in Ireland, and estimates of range expansion rates for red deer, sika and fallow deer.
• 2 There was a considerable expansion in the ranges of red deer, sika and fallow deer between 1978 and 2008. The compound annual rate of expansion was 7% for red deer, 5% for sika and 3% for fallow deer. The total range increase was 565% for red deer, 353% for sika and 174% for fallow deer. The potential implications of these expansions are discussed.
• 3 There are unknown numbers of red‐sika hybrid deer in some parts of Ireland. Range expansion is likely to lead to further hybridizations with implications for the genetic integrity of deer stocks.
• 4 Sightings of free‐roaming muntjac deer were first recorded in 2007. The distribution of confirmed sightings of single and multiple animals in the eastern region of Ireland suggests multiple releases.
• 5 Deer are already impacting on both the economic and biodiversity values of habitats in Ireland, where, at present, no sustainable deer management policy exists.

     

Characterization of polymorphic microsatellites for the rough periwinkle gastropod, Littorina saxatilis (Olivi, 1792) and their cross-amplification in four congeners

Eight new microsatellite loci were characterized for Littorina saxatilis (Olivi, 1792) and tested for their cross-hybridization in congeners. All loci were polymorphic in Irish and Celtic Sea samples, with an average number of alleles per locus of 15 (range, 6–31). Observed and expected locus heterozygosities ranged from 26 to 85% and from 53 to 92%, respectively. Three loci showed excess homozygosity and significant departures from Hardy–Weinberg expectations in one sample, possibly due to null alleles, population structuring or inbreeding. No linkage disequilibrium was detected among loci within samples. A high degree of cross-hybridization was observed in closely related congeners and most loci were polymorphic. These markers will be useful for investigating population genetic diversity and connectivity in coastal populations, especially for marine reserve design.     

A remodelling metric for angular fibre distributions and its application to diseased carotid bifurcations

Many soft biological tissues contain collagen fibres, which act as major load bearing constituents. The orientation and the dispersion of these fibres influence the macroscopic mechanical properties of the tissue and are therefore of importance in several areas of research including constitutive model development, tissue engineering and mechanobiology. Qualitative comparisons between these fibre architectures can be made using vector plots of mean orientations and contour plots of fibre dispersion but quantitative comparison cannot be achieved using these methods. We propose a 'remodelling metric' between two angular fibre distributions, which represents the mean rotational effort required to transform one into the other. It is an adaptation of the earth mover's distance, a similarity measure between two histograms/signatures used in image analysis, which represents the minimal cost of transforming one distribution into the other by moving distribution mass around. In this paper, its utility is demonstrated by considering the change in fibre architecture during a period of plaque growth in finite element models of the carotid bifurcation. The fibre architecture is predicted using a strain-based remodelling algorithm. We investigate the remodelling metric's potential as a clinical indicator of plaque vulnerability by comparing results between symptomatic and asymptomatic carotid bifurcations. Fibre remodelling was found to occur at regions of plaque burden. As plaque thickness increased, so did the remodelling metric. A measure of the total predicted fibre remodelling during plaque growth, TRM, was found to be higher in the symptomatic group than in the asymptomatic group. Furthermore, a measure of the total fibre remodelling per plaque size, TRM/TPB, was found to be significantly higher in the symptomatic vessels. The remodelling metric may prove to be a useful tool in other soft tissues and engineered scaffolds where fibre adaptation is also present.     

Co-translational myristoylation alters the quaternary structure of HIV-1 Nef in solution

We have studied the solution properties of Nef, a 24-kDa cotranslationally myristoylated protein produced by HIV-1 and other primate lentiviruses. Nef is found in the cytosol and also in association with cytoplasmic membranes, the latter, mediated in part by the myristoyl group attached to the N-terminal glycine. Recombinant Nef was coexpressed in Escherichia coli in tandem with N-myristoyl-transferase and is fully myristoylated. Analysis by circular dichroism showed the myristoylated form to contain a greater alpha-helical content than the nonmyristoylated form. Analysis of modified and unmodified Nef in solution using small angle X-ray scattering, dynamic laser light scattering and analytical ultracentrifugation consistently showed differences in the oligomeric states of the two forms of Nef. Myristoylated Nef is predominantly monomeric and small oligomers which are also present, can be converted to the monomeric form under reducing conditions. By contrast, the nonmyristoylated form exists as a stable hexadecamer in solution which disassociates into tetramers upon addition of reducing agents. Shape reconstructions from small angle scattering curves of nonmyristoylated Nef are compatible with a large disc-like structure in the hexadecameric oligomer consisting of four Nef tetramers. From these findings, we hypothesize that Nef undergoes a substantial conformational change from an "open" into a "closed" form whereby the myristate group is sequestered in a hydrophobic pocket. The myristoylated protein can switch to the open conformation by association of the N-terminal region of molecule with membranes. These changes would allow Nef to carry out various functions depending on the conformational and oligomeric states.     

Tensile and compressive properties of fresh human carotid atherosclerotic plaques

Accurate characterisation of the mechanical properties of human atherosclerotic plaque is important for our understanding of the role of vascular mechanics in the development and treatment of atherosclerosis. The majority of previous studies investigating the mechanical properties of human plaque are based on tests of plaque tissue removed following autopsy. This study aims to characterise the mechanical behaviour of fresh human carotid plaques removed during endarterectomy and tested within 2 h. A total of 50 radial compressive and 17 circumferential tensile uniaxial tests were performed on samples taken from 14 carotid plaques. The clinical classification of each plaque, as determined by duplex ultrasound is also reported. Plaques were classified as calcified, mixed or echolucent. Experimental data indicated that plaques were highly inhomogeneous; with variations seen in the mechanical properties of plaque obtained from individual donors and between donors. The mean behaviour of samples for each classification indicated that calcified plaques had the stiffest response, while echolucent plaques were the least stiff. Results also indicated that there may be a difference in behaviour of samples taken from different anatomical locations (common, internal and external carotid), however the large variability indicates that more testing is needed to reach significant conclusions. This work represents a step towards a better understanding of the in vivo mechanical behaviour of human atherosclerotic plaque.     

Simulation of a balloon expandable stent in a realistic coronary artery—Determination of the optimum modelling strategy

Computational models of stent deployment in arteries have been widely used to shed light on various aspects of stent design and optimisation. In this context, modelling of balloon expandable stents has proved challenging due to the complex mechanics of balloon–stent interaction and the difficulties involved in creating folded balloon geometries. In this study, a method to create a folded balloon model is presented and utilised to numerically model the accurate deployment of a stent in a realistic geometry of an atherosclerotic human coronary artery. Stent deployment is, however, commonly modelled by applying an increasing pressure to the stent, thereby neglecting the balloon. This method is compared to the realistic balloon expansion simulation to fully elucidate the limitations of this procedure. The results illustrate that inclusion of a realistic balloon model is essential for accurate modelling of stent deformation and stent stresses. An alternative balloon simulation procedure is presented however, which overcomes many of the limitations of the applied pressure approach by using elements which restrain the stent as the desired diameter is achieved. This study shows that direct application of pressure to the stent inner surface may be used as an optimal modelling strategy to estimate the stresses in the vessel wall using these restraining elements and hence offer a very efficient alternative approach to numerically modelling stent deployment within complex arterial geometries. The method is limited however, in that it can only predict final stresses in the stented vessel and not those occurring during stent expansion, in which case the balloon expansion model is required.