Njb Niels Driessen

Remodelling of continuously distributed collagen fibres in soft connective tissues

Extracellular matrix remodelling plays an essential role in tissue engineering of load-bearing structures. The goal of this study is to model changes in collagen fibre content and orientation in soft connective tissues due to mechanical stimuli. A theory is presented describing the mechanical condition within the tissue and accounting for the effects of collagen fibre alignment and changes in fibre content. A fibre orientation tensor is defined to represent the continuous distribution of collagen fibre directions. A constitutive model is introduced to relate the fibre configuration to the macroscopic stress within the material. The constitutive model is extended with a structural parameter, the fibre volume fraction, to account for the amount of fibres present within the material. It is hypothesised that collagen fibre reorientation is induced by macroscopic deformations and the amount of collagen fibres is assumed to increase with the mean fibre stretch. The capabilities of the model are demonstrated by considering remodelling within a biaxially stretched cube. The model is then applied to analyse remodelling within a closed stented aortic heart valve. The computed preferred fibre orientation runs from commissure to commissure and resembles the fibre directions in the native aortic valve.

Computational analyses of mechanically induced collagen fiber remodeling in the aortic heart valve

To optimize the mechanical properties and integrity of tissue-engineered aortic heart valves, it is necessary to gain insight into the effects of mechanical stimuli on the mechanical behavior of the tissue using mathematical models. In this study, a finite-element (FE) model is presented to relate changes in collagen fiber content and orientation to the mechanical loading condition within the engineered construct. We hypothesized that collagen fibers aligned with principal strain directions and that collagen content increased with the fiber stretch. The results indicate that the computed preferred fiber directions run from commissure to commissure and show a strong resemblance to experimental data from native aortic heart valves.

Effect of strain magnitude on the tissue properties of engineered cardiovascular constructs

Mechanical loading is a powerful regulator of tissue properties in engineered cardiovascular tissues. To ultimately regulate the biochemical processes, it is essential to quantify the effect of mechanical loading on the properties of engineered cardiovascular constructs. In this study the Flexercell FX-4000T (Flexcell Int. Corp., USA) straining system was modified to simultaneously apply various strain magnitudes to individual samples during one experiment. In addition, porous polyglycolic acid (PGA) scaffolds, coated with poly-4-hydroxybutyrate (P4HB), were partially embedded in a silicone layer to allow long-term uniaxial cyclic mechanical straining of cardiovascular engineered constructs. The constructs were subjected to two different strain magnitudes and showed differences in biochemical properties, mechanical properties and organization of the microstructure compared to the unstrained constructs. The results suggest that when the tissues are exposed to prolonged mechanical stimulation, the production of collagen with a higher fraction of crosslinks is induced. However, straining with a large strain magnitude resulted in a negative effect on the mechanical properties of the tissue. In addition, dynamic straining induced a different alignment of cells and collagen in the superficial layers compared to the deeper layers of the construct. The presented model system can be used to systematically optimize culture protocols for engineered cardiovascular tissues.

Modeling collagen remodeling

Collagen is the main load bearing protein in many soft tissues, and in cardiovascular tissues in particular. In many tissues collagen has a specific architecture that is crucial for the biomechanical function of the tissue. Typical examples are the hammock-shaped collagen architecture in heart valves and a helical pattern in arteries. One of the objectives in cardiovascular tissue engineering is the reconstitution of this architecture. It is hypothesized that the architecture is mediated by mechanical stimulation. Computational models were developed to predict the mechanoregulation of the collagen architecture. This review recapitulates the key modeling assumptions and results achieved to date.

Mechanical Characterization of Anisotropic Planar Biological Soft Tissues Using Large Indentation: A Computational Feasibility Study

Traditionally, the complex mechanical behavior of planar soft biological tissues is characterized by (multi)axial tensile testing. While uniaxial tests do not provide sufficient information for a full characterization of the material anisotropy, biaxial tensile tests are difficult to perform and tethering effects limit the analyses to a small central portion of the test sample. In both cases, determination of local mechanical properties is not trivial. Local mechanical characterization may be performed by indentation testing. Conventional indentation tests, however, often assume linear elastic and isotropic material properties, and therefore these tests are of limited use in characterizing the nonlinear, anisotropic material behavior typical for planar soft biological tissues. In this study, a spherical indentation experiment assuming large deformations is proposed. A finite element model of the aortic valve leaflet demonstrates that combining force and deformation gradient data, one single indentation test provides sufficient information to characterize the local material behavior. Parameter estimation is used to fit the computational model to simulated experimental data. The aortic valve leaflet is chosen as a typical example. However, the proposed method is expected to apply for the mechanical characterization of planar soft biological materials in general.

Finite Element Model of Mechanically Induced Collagen Fiber Synthesis and Degradation in the Aortic Valve

AbstractTissue-engineered trileaflet aortic valves are a promising alternative to current valve replacements. However, the mechanical properties of these valves are insufficient for implantation at the aortic position. To simulate the effect of collagen remodeling on the mechanical properties of the aortic valve, a finite element model is presented. In this study collagen remodeling is assumed to be the net result of collagen synthesis and degradation. A limited number of fibers with low initial fiber volume fraction is defined, and depending on the loading condition, the fibers are either synthesized or degraded. The synthesis and degradation of collagen fibers are both assumed to be functions of individual fiber stretch and fiber volume fraction. Simulations are performed for closed aortic valve configurations and the open aortic valve configuration. The predicted fiber directions for the closed configurations are close to the fiber directions as measured in the native aortic valve. The model predicts the evolution in collagen fiber content and the effect of remodeling on the mechanical properties.

Real Time, Non-Invasive Assessment of Leaflet Deformation in Heart Valve Tissue Engineering

In heart valve tissue engineering, most bioreactors try to mimic physiological flow and operate with a preset transvalvular pressure applied to the tissue. The induced deformations are unknown and can vary during culturing as a consequence of changing mechanical properties of the engineered construct. Real-time measurement and control of local tissue strains are desired to systematically study the effects of mechanical loading on tissue development and, consequently, to design an optimal conditioning protocol. In this study, a method is presented to assess local tissue strains in heart valve leaflets during culturing. We hypothesize that local tissue strains can be determined from volumetric deformation. Volumetric deformation is defined as the amount of fluid displaced by the deformed heart valve leaflets in a stented configuration, and is measured, non-invasively, using a flow sensor. A numerical model is employed to relate volumetric deformation to local tissue strains in various regions of the leaflets (e.g. belly and commissures). The flow-based deformation measurement method was validated and its functionality was demonstrated in a tissue engineering experiment. Tri-leaflet, stented heart valves were cultured in vitro and during mechanical conditioning, realistic values for volumetric and local deformation were obtained.

Nondestructive and noninvasive assessment of mechanical properties in heart valve tissue engineering

Despite recent progress, mechanical behavior of tissue-engineered heart valves still needs improvement when native aortic valves are considered as a benchmark. Although it is known that cyclic straining enhances tissue formation, optimal loading protocols have not been defined yet. To obtain a better understanding of the effects of mechanical conditioning on tissue development, mechanical behavior of tissue constructs should be monitored and controlled during culture. However, currently used methods for mechanical characterization (e.g., tensile and indentation tests) are destructive and are only performed at the end-stage of tissue culture. In this study, an inverse experimental-numerical approach was developed that enables a noninvasive and nondestructive assessment of mechanical properties of engineered heart valves. The applied pressure and volumetric deformation of an engineered heart valve were measured during culture, and served as input for the estimation of mechanical properties using a computational model. To validate the method, six heart valves were cultured, and the mechanical properties obtained from the inverse experimental-numerical approach were in good agreement with uniaxial tensile test data. The method provides a real-time, noninvasive and nondestructive functionality and quality check of tissue-engineered heart valves and can be used to monitor and control the evolution of mechanical properties during tissue culture.

The non-linear mechanical properties of soft engineered biological tissues determined by finite spherical indentation.

The mechanical properties of soft biological tissues in general and early stage engineered tissues in particular limit the feasibility of conventional tensile tests for their mechanical characterisation. Furthermore, the most important mode in development of deep tissue injury (DTI) is compression. Therefore, an inverse numerical–experimental approach using a finite spherical indentation test is proposed. To demonstrate the feasibility of the approach indentation tests are applied to bio-artificial muscle (BAM) tissue. BAMs are cultured in vitro with (n = 20) or without (n = 12) myoblast cells to quantify the effect of the cells on the passive transverse mechanical properties. Indentation tests are applied up to 80% of the tissue thickness. A non-linear Neo-Hookean constitutive model is fitted to the experimental results for parameter estimation. BAMs with cells demonstrated both stiffer and more non-linear material behaviour than BAMs without cells.

Erratum to "Remodelling of continuously distributed collagen fibres in soft connective tissues" [Journal of biomechanics 36 ( 2003) 1151-1158]

Refers to: Remodelling of continuously distributed collagen fibres in soft connective tissues Journal of Biomechanics, Volume 36, Issue 8, August 2003, Pages 1151-1158 N. J. B. Driessen, G. W. M. Peters, J. M. Huyghe, C. V. C. Bouten, F. P. T. Baaijens