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), . See central moments, μ |
β n–2 | Dimensionless parameters of shape of density function calculated from the central mo- ments, . “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, |
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(t – t0) |
∊ | 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 = D0/ζ2 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, , 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, . . 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, . Also and . 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 , 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 |