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# equation

A statement expressing the equality of two things, usually with the use of mathematical or chemical symbols. [L. aequare, to make equal]
- alveolar gas e. the e. defining the steady state relation of the alveolar oxygen pressure to the barometric pressure, inspired gas composition, alveolar carbon dioxide pressure, and respiratory exchange ratio; the e. is used in various forms depending upon which simplifying assumptions are acceptable for different applications.
- Arrhenius e. an e. relating chemical reaction rate (k) to the absolute temperature (T) by the e.: d(ln k)/dT) = ΔEa/RT2 where Ea is the activation energy and R is the universal gas constant.
- Bohr e. an e. to calculate the respiratory dead space from the fact that gas expired from the lungs is a mixture of gas from the dead space and gas from the alveoli, i.e., the dead space volume divided by the tidal volume equals the difference between alveolar and mixed expired gas composition, divided by the difference between alveolar and inspired gas composition; gas composition can be expressed in any consistent units of concentration or partial pressure of oxygen or carbon dioxide.
- chemical e. an e. on one side of which are the reactants and on the other side of which are the products of a chemical reaction; the two halves may be separated by an equals sign or by arrows.
- constant field e. SYN: Goldman e..
- Einthoven e. SYN: Einthoven law.
- Gay-Lussac e. the overall chemical e. for alcoholic fermentation; C6H12O6 = 2CO2 + 2CH3CH2OH.
- Gibbs-Helmholtz e. 1. an e. expressing the relationship in a galvanic cell between the chemical energy transformed and the maximal electromotive force obtainable. 2. ΔG = ΔH = T[∂ΔG/∂T] P, where ΔG is the change in Gibbs free energy, ΔH is the change in enthalpy, T is the absolute temperature, and P is the pressure.
- Goldman e. an e. derived to predict membrane potentials in terms of the membrane's permeability to ions and their concentrations on either side. SYN: constant field e., Goldman-Hodgkin-Katz e., GHK e..
- Goldman-Hodgkin-Katz e., GHK e. SYN: Goldman e..
- Henderson-Hasselbalch e. a formula relating the pH value of a solution to the pKa value of the acid in the solution and the ratio of the acid and the conjugate base concentrations: pH = pKa + log([A]/[HA]), where [A] is the concentration of the conjugate base and [HA] is the concentration of the protonated acid. For the bicarbonate buffer system in blood, pH = pK′ + log([HCO3]/[CO2]. The value of pK′ for blood plasma is 6.10 and includes the first dissociation constant of H2CO3, the relation between [H2CO3] and [CO2] and other corrections. The partial pressure of CO2 multiplied by its solubility in plasma at 38°C (0.0301 mM/mm Hg) is commonly substituted for [CO2]; e.g., when the plasma bicarbonate concentration is 24 mEq/L and the PCO2 is 40 mm Hg, the pH value is 6.10 + log(24/0.0301 × 40) = 7.40.
- Henri-Michaelis-Menten e. SYN: Michaelis-Menten e..
- Hill e. the e. y(1 − y) = [S]n/Kd, where y is the fractional degree of saturation, [S] is the binding ligand concentration, n is the Hill coefficient, and Kd is the dissociation constant for the ligand. The Hill coefficient is a measure of the cooperativity of the protein; the larger the value, the higher the cooperativity. This coefficient cannot be higher than the number of binding sites. For the oxygen binding curve of hemoglobin, an association constant, Ka, is used and the e. becomes y/(1 − y) = Ka[S]n. For human hemoglobin, n = 2.5. Cf.:Hill plot.
- Hüfner e. an e. expressing the relationship between myoglobin dissociation and oxygen partial pressure : ([MBO2]/[Mb]) = (K × pO2).
- Lineweaver-Burk e. a rearrangement of the Michaelis-Menten e., 1/v = 1/Vmax + (Km/Vmax)(1/[S]), where v is the velocity of the reaction, Vmax is the maximum velocity, Km is the Michaelis constant; and [S] is the substrate concentration. Cf.:double-reciprocal plot.
- Michaelis-Menten e. an initial-rate e. for a single-substrate non-cooperative enzyme-catalyzed reaction relating the initial velocity to the initial substrate concentration; v = Vmax [S]/(Km + [S]), where v is the initial velocity of the reaction, Vmax is the maximum velocity, [S] is the initial substrate concentration, and Km is the Michaelis constant. Similar equations can be derived for conditions in which the product is present and for multisubstrate enzymes. SYN: Henri-Michaelis-Menten e..
- Nernst e. the e. relating the equilibrium potential of electrodes to ion concentrations; the e. relating the electrical potential and concentration gradient of an ion across a permeable membrane at equilibrium : E = [RT / nF] [ln (C1/C 2)], where E = potential, R = absolute gas constant, T = absolute temperature, n = valence, F = the Faraday, ln = the natural logarithm, and C1 and C2 are the ion concentrations on the two sides; in nonideal solutions, concentration should be replaced by activity. SEE ALSO: activity (2).
- personal e. a slight error in judgment, perceptual response, or action peculiar to the individual and so constant that it is usually possible to allow for it in accepting the person's statements or conclusions, thus arriving at approximate exactness; observed in persons whose work involves readings of events in time, such as navigators and air traffic controllers.
- rate e. a mathematical expression for a chemical, radiochemical, or enzyme-catalyzed reaction.
- Rayleigh e. a ratio of red to green required by each observer to match spectral yellow. SYN: Rayleigh test.
- Svedberg e. See sedimentation constant.
- van't Hoff e. 1. e. for osmotic pressure of dilute solutions. See van't Hoff law. 2. for any reaction, d(ln Keq/d(1/T) equals −ΔH/R where Keq is the equilibrium constant, T the absolute temperature, R the universal gas constant, and ΔH the change in enthalpy; thus, plotting ln Keq vs. 1/T allows the determination of ΔH.

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equa·tion i-'kwā-zhənalso -shən n an expression representing a chemical reaction quantitatively by means of chemical symbols

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equa·tion (e-kwaґzhən) [L. aequatio, from aequare to make equal] an expression made up of two members connected by the sign of equality, =.

Medical dictionary. 2011.

### Look at other dictionaries:

• Equation — Équation (mathématiques)  Cet article concerne les équations mathématiques dans leur généralité. Pour une introduction au concept, voir Équation (mathématiques élémentaires).   …   Wikipédia en Français

• équation — [ ekwasjɔ̃ ] n. f. • 1613; h. XIIIe « égalité »; lat. æquatio 1 ♦ (1637) Math. Relation conditionnelle existant entre deux quantités et dépendant de certaines variables (ou inconnues). Poser une équation. Mettre en équation un phénomène complexe …   Encyclopédie Universelle

• Equation — E*qua tion, n. [L. aequatio an equalizing: cf. F. [ e]quation equation. See {Equate}.] 1. A making equal; equal division; equality; equilibrium. [1913 Webster] Again the golden day resumed its right, And ruled in just equation with the night.… …   The Collaborative International Dictionary of English

• equation — e‧qua‧tion [ɪˈkweɪʒn] noun [countable] a statement in mathematics, showing that two quantities are equal acˈcounting eˌquation one of the relationships between assets and liabilities used in accounting: • The accounting equation here is: assets… …   Financial and business terms

• equation — [ē kwā′zhən, ikwā′zhən] n. [ME equacioun < L aequatio] 1. the act of equating; equalization 2. the state of being equated; equality, equivalence, or balance; also, identification or association 3. a) a complex whole [the human equation] b) an… …   English World dictionary

• equation — index balance (equality), comparison, parity Burton s Legal Thesaurus. William C. Burton. 2006 …   Law dictionary

• equation — late 14c., a term in astrology; meaning вЂњaction of making equalвЂќ is from 1650s; mathematical sense is from 1560s, on notion of equalizing the expressions; from L. aequationem (nom. aequatio) an equal distribution, community, from pp. stem of… …   Etymology dictionary

• equation — ► NOUN 1) the process of equating one thing with another. 2) Mathematics a statement that the values of two mathematical expressions are equal (indicated by the sign =). 3) Chemistry a symbolic representation of the changes which occur in a… …   English terms dictionary

• Équation — Cet article concerne les équations mathématiques dans leur généralité. Pour une introduction au concept, voir Équation (mathématiques élémentaires).   …   Wikipédia en Français

• Equation — This article is about equations in mathematics. For the chemistry term, see chemical equation. The first use of an equals sign, equivalent to 14x+15=71 in modern notation. From The Whetstone of Witte by Robert Recorde (1557). An equation is a… …   Wikipedia

• equation — /i kway zheuhn, sheuhn/, n. 1. the act of equating or making equal; equalization: the symbolic equation of darkness with death. 2. equally balanced state; equilibrium. 3. Math. an expression or a proposition, often algebraic, asserting the… …   Universalium