A Model for Stress-Induced Growth in the Developing Heart

Abstract

Mechanical loads affect growth and morphogenesis in the developing heart. Using a theoretical model, we studied stress-modulated growth in the embryonic chick ventricle during stages 21–29 (4–6 days of a 21-day incubation period). The model is a thick-walled, compressible, pseudoelastic cylinder, with finite volumetric growth included by letting the rate of change of the local zero-stress configuration depend linearly on the Cauchy stresses. After investigating the fundamental behavior of the model, we used it to study global and local growth in the primitive ventricle due to normal and abnormal cavity pressures. With end-diastolic pressure taken as the growth-modulating stimulus, correlating theoretical and available experimental results yielded the coefficients of the growth law, which was assumed to be independent of time and loading conditions. For both normal and elevated pressures, the predicted changes in radius and wall volume during development were similar to experimental measurements. In addition, the residual stress generated by differential growth agreed with experimental data. These results suggest that wall stress may be a biomechanical factor that regulates growth in the embryonic heart.