Abstract
Summary Statement
An organ culture experiment was simulated to explore the mechanisms that can link cell death to mechanical overload in the intervertebral disc. Coupling cell nutrition and tissue deformations led to altered metabolic transport that largely explained cell viability measurements.
Introduction
Part of intervertebral disc (IVD) maintenance relies on limited nutrient availability to the cells and on mechanical loads, but effective implication of these two factors is difficult to quantify. Theoretical models have helped to understand the link between solute transport and cell nutrition in deforming IVD, but omitted the direct link between tissue mechanics and cell metabolism. Hence, we explored numerically the relation between disc mechanics and cell death in relation to an organ culture experiment.
Methods
A finite element model of a caudal bovine IVD was created to reproduce an organ culture experiment. All subtissues were modelled, and coupled to cell metabolism in two ways: (i) mechanical strains and metabolic reactions were simply coupled to the diffusions of oxygen, lactate and glucose through a mechano-transport algorithm (IND model). (ii), a hypermetabolism model based on in vitro data involved a 30% increase in glucose consumption by the cells, activated either as a Step or as a Gaussian function over 15% strain (DIR model). Exponential decays of cell density occurred below 0.5 mM of glucose and/or below pH 6.78. Concentrations of 21 kPa oxygen and 4.5 mM glucose were imposed at the boundary, and a combination of 0.2 MPa compression and 10° bending was applied over 7 days.
Results
The highest hypermetabolic response was given by the Step activation. For all models, cell death mostly occurred in the compressed area of the flexed IVD, and steady-state cell viability was reached in about two days of load. In the outer annulus fibrosus (AF), the DIR model with Step activation led to increased cell death, in line with the cell viability measured in vitro. In the inner AF, all cell viability results matched the reported measurements.
Discussion/Conclusion
This study focused on elucidating the links between mechanical stimulation and cell survival in the IVD, and simulation of nutrition issues allowed reproducing the results of an organ culture experiment. Results suggest that mechano-regulated metabolism can play a significant role in the nutrition-related cell death. Truly, the IND model gave both low glucose and low pH, and altered metabolic transport represented the main cell death mechanism. Yet, the role of hypermetabolism was increased nearby the nutrient supply at the outer AF, meaning that cell death could occur, even in regions where nutrient supply seems ensured by short diffusion distances. Though further mechanistic developments must be considered, this novel mechano-regulated metabolism model permits mechano-transport models to be used to explore important interactions between tissue biophysics and multiphysics. In particular, the extracellular matrix degradation along degeneration and cell death can be coupled to the poromechanical parameters introduced, e.g. initial porosity and osmotic pressure values that largely depend on the proteoglycan concentration.