Glossary

ParameterDefinitionFormulaUnit
ForceAn influence that can cause an object to change its velocity.Mass × acceleration, F=m×aN
MomentumMass in motion (quantity of movement).p=m×vkg × m/s
ImpulseThe time integral of the force, i.e. the change (Δ) in momentum (p) of an object (momentum is a vector quantity, so impulse is a vector quantity).p=F×t , the impulse is defined by the AUC of the force, normalized by the time interval, thus the average value of the force, defined by 1NFL where the summation is taken over the period of interestN × s
HDF [2]The integral of pressure gradients over the left ventricle, normalized to left ventricular volume and blood specific weight (thus reported as % of gravity acceleration).A vector defined by the integral. HDFt=ρStxvtn+vvndS that is taken over the LV surface boundary S(t), v(x, t) is the velocity vector field, x is the position vector, and n(x, t) is the normal unit vector%
HDP [3]A physics-based measure that takes into account the dynamics of the space-time shape changes in combination with blood flow.d(HW)/dt. A scalar quantity defined by the scalar product between the HDF vector, normalized by the LV volume V(t), and another vector obtained by a surface integral HDPt=HDF(t)V(t)S(t)xvndSW = J/s
HWThe displacement of an object due to force.Force × distance. The time integral of the HDP, computed by TNHDP where it contains the time interval T, to transform the power into workJ = N × m
RMSThe square root of the arithmetic mean of the squares of a set of values. Based on the mathematical formula, this parameter cannot differentiate between positive and negative curves.Computed by 1NHDFL2 where the summation is taken over the period of interest (whole cardiac cycle, systole, diastole)-
AUCThe space between a curve and a straight line that connects two points on that curve.A = abf(x)dxN × s

AUC: area under the curve; HDF: hemodynamic forces; HDP: hemodynamic power; HW: hemodynamic work; J: Joule; N: Newton; RMS: root mean square; W: Watt