A tri-phasic continuum model for the numerical analysis of biological tissue proliferation using the Theory of Porous Media: Application to cardiac remodelling in rheumatic heart disease

This research is part of an on-going project aimed at describing the mechanotransduction rheumatic heart disease (RHD), in order to study long-term effects new therapeutic concepts treat inflammatory diseases and ultimately, estimate their effectiveness prevent failure. RHD a condition which mostly common amongst low-income countries accounts for approximately 250 000 deaths per annum. The Theory Porous Media (TPM) can represent proliferative growth remodelling processes related within thermodynamically consistent framework additionally advantageous with application biological tissue due ability couple multiple constituents. presented will extend existing biphasic TPM model solid cardiac (solid phase) saturated blood interstitial fluid (liquid [1], triphasic inclusion third nutrient phase towards growth. motivated by reason constrain volume liquid system response description growth, modelled through mass exchange between model. Although acts as source proposed supply function used correlate deposition sarcomeres relation predominantly mechanically driven bears no connection any biochemical constituent, therefore renders physiologically arbitrary quantity. However, provision platform known constituents actively contribute may be explored future research. applied full cycle left ventricle model, extracted from cardiovascular magnetic resonance (CMR) scans patients diagnosed RHD.