Computational pharmacokinetics of solute penetration into human intervertebral discs - effects of endplate permeability, solute molecular weight and disc size.

A finite element model is developed to predict the penetration time-history of three different solutes into the human lumbar disc following intravenous injection. Antibiotics are routinely administered intravenously in spinal surgery to prevent disc infection. Successful prophylaxis requires antibiotics to reach adequate inhibitory levels. Here, the transient diffusion of cephazolin is investigated over 10h post-injection in a human disc model subject to reported concentrations in the blood stream as the prescribed boundary sources. Post-injection variation of cephazolin concentrations in the disc adjacent to supply sources closely followed the decay curve in the blood stream and fell sharply with time. Much lower concentrations were computed in the inner annulus and nucleus; much of the disc (80% at 1h and 49% at 4h) experienced concentrations below required inhibitory level of 1mg/L in agreement with measurements. Changes in endplate permeability, disc size, and solute molecular weight had profound effects on concentration profiles at all times and regions, especially in the disc centre, demonstrating their crucial roles on the adequate delivery of drugs. Larger solutes markedly slow transport into the disc. The failure to reach critical therapeutic levels in the central disc regions, especially when endplates calcify and in larger discs, raises concerns and calls for caution in attempts to extrapolate findings of studies on animals with much smaller and non degenerate discs to the human discs. The current study also demonstrates the capability of computational models in predicting the transport of intravenously injected solutes into the disc

Disc size markedly influences concentration profiles of intravenously administered solutes in the intervertebral disc: a computational study on glucosamine as a model solute

Purpose: Tests on animals of different species with large differences in intervertebral disc size are commonly used to investigate the therapeutic efficacy of intravenously injected solutes in the disc. We hypothesize that disc size markedly affects outcome. Methods: Here, using a small non-metabolized molecule, glucosamine (GL) as a model solute, we calculate the influence of disc size on transport of GL into rat, rabbit, dog and human discs for 10 h post intravenous-injection. We used transient finite element models and considered an identical GL supply for all animals. Results: Huge effects of disc size on GL concentration profiles were found. Post-injection GL concentration in the rat disc reached 70 % blood concentration within 15 min but remained below 10 % in the human disc nucleus throughout. The GL rapidly penetrated post-injection into smaller discs resulting in homogeneous concentrations. In contrast, GL concentration, albeit at much lower levels, increased with time in the human disc with a small outward flux at the annulus periphery at longer periods. Conclusions: Changes in the disc size hugely influenced GL concentrations throughout the disc at all regions and times. Increases in administered dose can neither remedy the very low concentration levels in the disc center in larger human disc at early post-injection hours nor alter the substantial differences in concentration profiles estimated among various species. The size effect will only be exacerbated as molecular weight of the solute increases and as the endplate calcifies. Extrapolation of findings from animal to human discs on the efficacy of intravenously administered solutes must proceed with great caution. © 2013 Springer-Verlag Berlin Heidelberg

Computational investigation of sulphate diffusion into the dog disc

We proposed a model to investigate the transient diffusion of drug (sulphate) into the intervertebral disc. Using finite element method, drug diffusion was simulated and the concentration of diffused drug in each region of disc including Nucleus pulpous (NP), Inner annulus fibroses (IA), and Outer annulus fibroses (OA) was measured. In addition, to investigate the role of CEP permeability on the amount of diffused drug, model was simulated with different cartilage endplate (CEP) permeability. Having obtained concentration distribution for different cases, it was clearly shown that the amount of diffused drug is affected by the endplate permeability and the more permeable CEP, the more diffused drug into the disc specifically at the center of the disc. © 2011 IEEE