Hydraulic permeability and compressive properties of porcine and human synovium.

The synovium is a multilayer connective tissue separating the intra-articular spaces of the diarthrodial joint from the extra-synovial vascular and lymphatic supply. Synovium regulates drug transport into and out of the joint, yet its material properties remain poorly characterized. Here, we measured the compressive properties (aggregate modulus, Young's modulus, and Poisson's ratio) and hydraulic permeability of synovium with a combined experimental-computational approach. A compressive aggregate modulus and Young's modulus for the solid phase of synovium were quantified from linear regression of the equilibrium confined and unconfined compressive stress upon strain, respectively (HA = 4.3 ± 2.0 kPa, Es = 2.1 ± 0.75, porcine; HA = 3.1 ± 2.0 kPa, Es = 2.8 ± 1.7, human). Poisson's ratio was estimated to be 0.39 and 0.40 for porcine and human tissue, respectively, from moduli values in a Monte Carlo simulation. To calculate hydraulic permeability, a biphasic finite element model's predictions were numerically matched to experimental data for the time-varying ramp and hold phase of a single increment of applied strain (k = 7.4 ± 4.1 × 10-15 m4/N.s, porcine; k = 7.4 ± 4.3 × 10-15 m4/N.s, human). We can use these newly measured properties to predict fluid flow gradients across the tissue in response to previously reported intra-articular pressures. These values for material constants are to our knowledge the first available measurements in synovium that are necessary to better understand drug transport in both healthy and pathological joints.

Combined Experimental Approach and Finite Element Modeling of Small Molecule Transport Through Joint Synovium to Measure Effective Diffusivity.

Trans-synovial solute transport plays a critical role in the clearance of intra-articularly (IA) delivered drugs. In this study, we present a computational finite element model (FEM) of solute transport through the synovium validated by experiments on synovial explants. Unsteady diffusion of urea, a small uncharged molecule, was measured through devitalized porcine and human synovium using custom-built diffusion chambers. A multiphasic computational model was constructed and optimized with the experimental data to extract effective diffusivity for urea within the synovium. A monotonic decrease in urea concentration was observed in the donor bath over time, with an effective diffusivity found to be an order of magnitude lower in synovium versus that measured in free solution. Parametric studies incorporating an intimal cell layer with varying thickness and varying effective diffusivities were performed, revealing a dependence of drug clearance kinetics on both parameters. The findings of this study indicate that the synovial matrix impedes urea solute transport out of the joint with little retention of the solute in the matrix.

A multiphasic model for determination of water and solute transport across the arterial wall: effects of elastic fiber defects.

Transport of solute across the arterial wall is a process driven by both convection and diffusion. In disease, the elastic fibers in the arterial wall are disrupted and lead to altered fluid and mass transport kinetics. A computational mixture model was used to numerically match previously published data of fluid and solute permeation experiments in groups of mouse arteries with genetic (knockout of fibulin-5) or chemical (treatment with elastase) disruption of elastic fibers. A biphasic model of fluid permeation indicated the governing property to be the hydraulic permeability, which was estimated to be 1.52×10-9, 1.01×10-8, and 1.07×10-8 mm4/µN.s for control, knockout, and elastase groups, respectively. A multiphasic model incorporating solute transport was used to estimate effective diffusivities that were dependent on molecular weight, consistent with expected transport behaviors in multiphasic biological tissues. The effective diffusivity for the 4 kDA FITC-dextran solute, but not the 70 or 150 kDa FITC-dextran solutes, was dependent on elastic fiber structure, with increasing values from control to knockout to elastase groups, suggesting that elastic fiber disruption affects transport of lower molecular weight solutes. The model used here sets the groundwork for future work investigating transport through the arterial wall.

Size-Dependent Effective Diffusivity in Healthy Human and Porcine Joint Synovium.

Intra-articular drug delivery can be effective in targeting a diseased joint but is hampered by rapid clearance times from the diarthrodial joint. The synovium is a multi-layered tissue that surrounds the diarthrodial joint and governs molecular transport into and out of the joint. No models of drug clearance through synovium exist to quantify diffusivity across solutes, tissue type and disease pathology. We previously have developed a finite element model of synovium as a porous, permeable, fluid-filled tissue and used an inverse method to determine urea's effective diffusivity (Deff) in de-vitalized synovium explants.22 Here we apply this method to determine Deff from unsteady diffusive transport of model solutes and confirm the role of molecular weight in solute transport. As molecular weight increased, Deff decreased in both human and porcine tissues, with similar behavior across the two species. Unsteady transport was well-described by a single exponential transient decay in concentration, yielding solute half-lives (t1/2) that compared favorably with the Deff determined from the finite element model fit. Determined values for Deff parallel prior observations of size-dependent in vivo drug clearance and provide an intrinsic parameter with greater ability to resolve size-dependence in vitro. Thus, this work forms the basis for understanding the influence of size on drug transport in synovium and can guide future studies to elucidate the role of charge and tissue pathology on the transport of therapeutics in healthy and pathological human synovium.