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. Author manuscript; available in PMC: 2010 Dec 22.
Published in final edited form as: Am J Physiol. 1986 Apr;250(4 Pt 2):H539–H545. doi: 10.1152/ajpheart.1986.250.4.H539
α0, α1, αn Moments about zero for a probability density
 function. (Units are tn when t is the inde-
 pendent variable.) [α0 = area; α1 = mean;
 for the density function h(t), αn=0+tnh(t)dt. See central moments, μ
β n–2 Dimensionless parameters of shape of density
 function calculated from the central mo-
 ments, =μnSDn=μnμ2n2. “β1” is skewness
 (or asymmetry); β1 is zero for all symmet-
 rical functions, positive for right skewness.
 “β2” is kurtosis (or flatness). β2 = 3.0 for
 normal density function; β2 > 3 for lepto-
 kurtosis (highpeakedness), and <3 for
 platykurtosis
γ Ratio of interstitial volume of distribution
 to intracapillary volume of distribution,
VIVcap
Δ Difference
δ(t) Unit impulse func-
 tion, or Dirac delta function, has unity area, an infinite amplitude
 at t = 0, and is zero at all other times. It is
 the limit of any symmetrical unimodal den-
 sity function of unity area as its width ap-
 proaches zero. For delta function occurring
 at a nonzero time t0, it is written δ(tt0)
Epsilon, vanishingly small difference
ζ Tortuosity of diffusion pathway. ζ is ratio of
 apparent path length to measured length of
 diffusion pathway, dimensionless; thus the
 effective diffusion coefficient, D = D02
 where D is the free aqueous diffusion coef-
 ficient
η Viscosity, poise (P) = dyn/cm2 = g·s−1·cm−1.
 Water viscosity = 0.01002 P at 20°C.
 Plasma viscosity ≈ 0.011
η(t) Equals h(t)/R(t) (fraction/s); the emergence
 function, the specific fractional escape rate
 following an impulse input. Of the particles
 residing in the system for t seconds after
 entering, η(t) is the fraction that will depart
 or escape in the tth second. In chemical
 engineering it is known as the intensity
 function (7), and in population statistics as
 the risk function, the death rate of those
 living at age t. Also, η(t) = (dR/dt)/R(t) =
 −d logeR(t)/dt. See FER(t)
Θ Ratio of intracellular volume of distribution
 to intracapillary volume of distribution,
VcellVcap, dimensionless
λ, λij Partition coefficient, a dimensionless ratio
 of Bunsen solubility coefficients in two
 phases. λij is the ratio of solubility in region
 or solvent i to the solubility in region j. The
 reference region j is usually the plasma. At
 equilibrium, λij is the ratio of concentra-
 tions
μ Chemical potential for a solute in a solution,
 N·m−2; μ = μ0 + RT In a, where the activity
 a is a concentration times an activity coef-
 ficient and μ0 is the potential at a reference
 state of temperature and pressure
μ n nth central moment of a density function,
h(t), a moment around the mean, t. μn=(tt)nh(t)dt. Units are those of t to
 the nth power
μ2, μ3, μ4 μ2 is variance, the second moment of a density
 function around the mean, =α2α12. Also
μ3=α33α1α2+2α13 and μ4=α44α1α3+6α12α2. See also βn
π Osmotic pressure, Pa or N·m−2 or mmHg, is
 the pressure that would have to be exerted
 on a solution to prevent pure water from
 entering it from across an ideal semiperme-
 able membrane, i.e., a membrane permeable
 to solvent only. π = CRT is Van’t Hoff’s
 law for ideal dilute solutions, and across a
 membrane impermeable to solute. π =
 φCRT is preferred to account for activity
 coefficients less than unity. When the sol-
 ute can permeate the membrane, the effec-
 tive π = σφCRT. Osmotic pressure, a colli-
 gative property of solutions, is related to
 actual pressure rn the same fashion as a
 freezing point is to actual temperature. On-
 cotic pressure is a term, now obsolete al-
 though historically useful, for the osmotic
 pressure associated with the presence of
 large, relatively impermeant molecules such
 as plasma proteins. It should now be re-
 placed by more exact terms, e.g., across
 some specific membrane the effective Δπ
 equals RTφi=1i=NσiϕiΔCi, where the effects of
 concentration differences for a set of N
 solutes are summed.
ρ Density, g·cmm−3. (Specific gravity is density
 relative to density of water)
σ Reflection coefficient, in notation of irrevers-
 ible thermodynamics, dimensionless; σ =
 –LpD/Lp or, experimentally, σ = –JD/Jv for
 ΔC8 = 0. The effective osmotic pressure
 across a membrane is σΔπ, mmHg; i.e., σ =
 (observed osmotic pressure)/CRT
τC Capillary mean transit time, t̄c, used in Krogh
 cylinder capillary-tissue models with plug
 flow velocity profiles
φ Activity coefficient, the ratio of apparent
 chemically effective concentration to the
 actual concentration in a solution, in the
 absence of chemical binding, dimensionless.
 The osmotic activity coefficient φ = π/CRT
ψ Electrical potential, V
ω Solute permeability coefficient, ω = P/RT,
 mol·cm−2. s−1 ·(mmHg)−1. In the notation of
 irreversible thermodynamics ω = (LD – RT/F
 σ2Lp)C̄s, where C̄s, is the average solute con-
 centration across the membrane