Table 1.
Paper | Sample Tested | Measurement | Analysis | Reported stiffness | Key Findings |
---|---|---|---|---|---|
Exponential stress-strain function | |||||
A = 3.9±2.7kPa (cross-fiber direction) | directions. | ||||
Halperin 1987 [91] | Canine IVS | Triaxial; Tensile in-plane with transverse compression | Slope of indentation peak stress-strain curve | E = 14.8kPa (Transverse Compressive) | In-plane stress and strain indices positively correlated with transverse stiffness. |
Przyklenk 1987 [92] | Canine LVFW | Uniaxial tensile | TM at 2g/mm2 | TM = 2–4kPa | Tensile strength and stiffness correlated positively with hydroxyproline content. Epicardium and visceral pericardium were the stiffest and most collagenous. |
Yin 1987 [93] | Canine LV | Biaxial tensile | Fit three strain-energy functions | See paper for functions and parameters | |
Humphrey 1990 [94] | Canine LV, RV walls | Biaxial tensile | Stress strain curves but no moduli reported | ||
Sacks & Chuong 1993 [83] | Canine RVFW | Biaxial tensile | Reported the maximum TM of generated stress-strain curves | ||
TM = ~50kPa (LVFW, both) | |||||
Novak 1994 [84] | Canine IVS and LVFW | Biaxial tensile | Five parameter pseudostrain-energy function | Several fitted parameters | Inner and outer regions of the LVFW were stiffer than the middle sections tested. |
Kag 1996 [95] | Bovine endo, myo-, epicardium | Biaxial tensile | Pseudostrain -energy functions | Several fitted parameters | Endocardium was stiffer at low strains. |
Rat isolated myocytes | Classical Infinitesimal Strain Theory – Conical Geometry | Myocytes stiffened with age, and intracellular stiffness was independent of myocyte dimensions. | |||
E = 42.5±1kPa (30 months age) | |||||
Berry 2006 [75] | Rat LV; infarcted and control | AFM indentation | Hertz Model | Infarcted rat hearts were stiffer than control/healthy tissues. | |
E = 55±15kPa (infarct) | |||||
Engler 2008 [81] | Quail, embryonic | AFM indentation | Hertz model | E = 11 kPa | |
Fomovsky, Holmes 2010 [76] | Rat LV; infarcted | Biaxial tensile | Strain-energy function quadratic fit | C1 = 400kPa stiffening to ~1mPa | Infarcted rat hearts increased in collagen content, collagen crosslinking, and biaxial tensile strength over time from 3 to 6 weeks after Ml. Infarcts were mechanically isotropic rather than anisotropic. |
Jacot 2010 [77] | Murine epicardial surface E13.5 to P14 | AFM indentation | Hertz Model | ||
E = 39±7kPa (P14) | |||||
2013 [97] | tensile | modulus (60–70% strain; linear region) | E = 20kPa (adult) | ||
Kichula 2014 [98] | Explanted Ovine LV | Biaxial tensile | Longitudinal stiffness was significantly higher than circumferential stiffness in passive measurements of control heart tissue, highlighting the importance of the method choice for reporting overall myocardial stiffness. | ||
E at strains 0.05–0.1; 0.1–0.15; 0.15–0.2 | |||||
E = 70kPa (circumferential) | |||||
Polyacrylamide gels of myocardial-like stiffness were optimal for the In vitro culture of rat cardiomyocytes. | |||||
E = 25.6±15.9kPa (adult) | |||||
Human heart transplant biopsies | |||||
E~26±12kPa (cross-fiber) (5% E calculated from table 10) LVFW: 54kPa Septum: 48kPa RVFW: 44kPa | |||||
Perea Gil 2015 [79] | Porcine LV, intact vs. dECM | AFM indentation | Hertz Model | Native tissue: 26.1 ±3.6kPa, | Decellularization caused no significant changes to E. There were no significant differences in stiffness between heart layers. |
Quinn 2016 [101] | Rat LV ECM | Uniaxial tensile | Microstructur al fiber recruitment model: E at full fiber recruitment and stretch of 1.25 | ECM elastic modulus did not differ between circumferential and longitudinal stretching. In the postinfarct scar, collagen content increased but tensile elastic modulus decreased. The non-linear toe regions of the stress-strain curves were elongated following Ml. | |
E1.25 = 38 ±26kPa (8wks post Ml) | |||||
from Chen et al, 1996[103] | E = 63±23kPa (porcine) | (PDMS) | |||
Gluck 2017 [104] | Porcine dECM LV and SAN | AFM indentation | |||
E = 16.69 ±0.32kPa (SAN) | |||||
Spreeuwel 2017 [80] | Murine LV and RV, mdx and TAC models | Microindentati on, 2mm probe | Indentation model for planar anisotropic soft tissue from Cox et al 2006 [105] | Mdx mutation significantly lowered myocardial LV modulus but not RV modulus. TAC did not have a significant impact on overall LV modulus. | |
ERV = 11.1±3.9 kPa (healthy) | |||||
Notari 2018 [106] | Murine neonatal dECM LV, P1/P2 | AFM indentation | Hertz Model | ||
E~35–45kPa (P2) | |||||
Fujita 2018 [107] | Goat dECM ventricle | Uniaxial compression | Nonlinear Kelvin Model | ||
K2=0.1kPa |
Heart Anatomy Abbreviations: LV = left ventricle; IVS = interventricular septum; LVFW = left ventricular free wall; RVFW = right ventricular free wall; SAN = sinoatrial node; dECM = decellularized extracellular matrix; MI = myocardial infarction; TAC = trans-aortic constriction
Mechanics Abbreviations: A = stress-strain amplitude parameter; TM = tangent modulus; E = Young’s/elastic modulus; K1, K2 = spring stiffness elements; C1 = Cauchy-Green fitted coefficient; DMA = dynamic mechanical analysis