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

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 (D_eff) in de-vitalized synovium explants.²² Here we apply this method to determine D_eff from unsteady diffusive transport of model solutes and confirm the role of molecular weight in solute transport. As molecular weight increased, D_eff 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 (t_1/2) that compared favorably with the D_eff determined from the finite element model fit. Determined values for D_eff 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.