Eigenvalue approach to study biothermoelastic and mass diffusion interactions in living tissue due to pulse heat flux

Based on generalized bio-thermoelasticity with mass diffusion model, this paper examines the bio-thermal-diffusion interactions problem in living tissues. A decaying exponentially pulsed heat boundary flux is applied to the surface. The basic equations of generalized bio-thermoelastic-diffusions are considered without energy dissipation and are then expressed in the Laplace domain. Using the eigenvalue approach, the analytical solution in the transformed domain was derived. The results are presented numerically and are shown graphically for, temperature, concentration, stress, displacement, and chemical potential. The blood perfusion rates and the impact of various thermoelastic models on physical quantities are discussed and analyzed using visual graphs. The biomedical responses impacted by the bio-thermo-diffusion model on the wave propagation in biological tissues provide insight into the study of the model.