what mass of poprocks would need to be consumed to cause death (reach the ld50)?

Measure of the lethal dose of a toxin, radiation, or pathogen required to kill half of a tested population

In toxicology, the median lethal dose, LD50 (abbreviation for "lethal dose, 50%"), LCl (lethal concentration, fifty%) or LCtl is a measure of the lethal dose of a toxin, radiations, or pathogen.[1] The value of LD50 for a substance is the dose required to impale one-half the members of a tested population after a specified examination elapsing. LD50 figures are oft used as a general indicator of a substance's acute toxicity. A lower LD50 is indicative of increased toxicity.

The exam was created by J.W. Trevan in 1927.[two] The term semilethal dose is occasionally used in the aforementioned sense, in particular with translations of foreign language text, but can also refer to a sublethal dose. LD50 is unremarkably determined by tests on animals such every bit laboratory mice. In 2011, the U.Southward. Food and Drug Administration approved alternative methods to LDfifty for testing the corrective drug Botox without beast tests.[three] [iv]

Conventions [edit]

The LD50 is ordinarily expressed as the mass of substance administered per unit mass of exam subject, typically every bit milligrams of substance per kilogram of body mass, sometimes also stated as nanograms (suitable for botulinum), micrograms, or grams (suitable for paracetamol) per kilogram. Stating it this manner allows the relative toxicity of different substances to be compared, and normalizes for the variation in the size of the animals exposed (although toxicity does not ever scale simply with body mass). For substances in the environment, such equally poisonous vapors or substances in water that are toxic to fish, the concentration in the environs (per cubic metre or per litre) is used, giving a value of LCfifty. Just in this instance, the exposure time is important (see below).

The choice of 50% lethality as a benchmark avoids the potential for ambivalence of making measurements in the extremes and reduces the amount of testing required. However, this also means that LD50 is not the lethal dose for all subjects; some may be killed by much less, while others survive doses far higher than the LDl. Measures such as "LDane" and "LD99" (dosage required to kill 1% or 99%, respectively, of the test population) are occasionally used for specific purposes.[5]

Lethal dosage oft varies depending on the method of administration; for example, many substances are less toxic when administered orally than when intravenously administered. For this reason, LD50 figures are oftentimes qualified with the way of administration, e.g., "LD50 i.v."

The related quantities LD50/30 or LDfifty/sixty are used to refer to a dose that without treatment will exist lethal to l% of the population within (respectively) xxx or 60 days. These measures are used more than unremarkably within radiations wellness physics, as survival beyond 60 days usually results in recovery.

A comparable measurement is LCt50, which relates to lethal dosage from exposure, where C is concentration and t is fourth dimension. It is oftentimes expressed in terms of mg-min/yard3. ICt 50 is the dose that will cause incapacitation rather than death. These measures are ordinarily used to indicate the comparative efficacy of chemical warfare agents, and dosages are typically qualified past rates of animate (eastward.g., resting = 10 l/min) for inhalation, or caste of clothing for skin penetration. The concept of Ct was first proposed by Fritz Haber and is sometimes referred to every bit Haber'south constabulary, which assumes that exposure to 1 minute of 100 mg/m3 is equivalent to 10 minutes of 10 mg/m3 (1 × 100 = 100, as does 10 × x = 100).

Some chemicals, such as hydrogen cyanide, are rapidly detoxified by the man body, and do non follow Haber'southward constabulary. So, in these cases, the lethal concentration may be given simply as LC50 and qualified past a duration of exposure (due east.g., ten minutes). The Material Safety Data Sheets for toxic substances oftentimes use this course of the term even if the substance does follow Haber's law.

For disease-causing organisms, there is also a measure out known equally the median infective dose and dosage. The median infective dose (ID50) is the number of organisms received by a person or test creature qualified by the route of assistants (eastward.thousand., 1,200 org/homo per oral). Because of the difficulties in counting actual organisms in a dose, infective doses may be expressed in terms of biological assay, such as the number of LD50'south to some test animal. In biological warfare infective dosage is the number of infective doses per cubic metre of air times the number of minutes of exposure (e.g., ICt50 is 100 medium doses - min/m3).

Limitation [edit]

Every bit a mensurate of toxicity, LD50 is somewhat unreliable and results may vary greatly betwixt testing facilities due to factors such equally the genetic characteristics of the sample population, animate being species tested, environmental factors and style of assistants.[6]

There can exist broad variability betwixt species besides; what is relatively prophylactic for rats may very well be extremely toxic for humans (cf. paracetamol toxicity), and vice versa. For case, chocolate, insufficiently harmless to humans, is known to be toxic to many animals. When used to test venom from venomous creatures, such as snakes, LD50 results may be misleading due to the physiological differences between mice, rats, and humans. Many venomous snakes are specialized predators on mice, and their venom may exist adapted specifically to incapacitate mice; and mongooses may be uncommonly resistant. While most mammals accept a very similar physiology, LD50 results may or may not have equal bearing upon every mammal species, such as humans, etc.

Examples [edit]

Notation: Comparing substances (specially drugs) to each other by LD50 can be misleading in many cases due (in function) to differences in effective dose (ED50). Therefore, it is more useful to compare such substances by therapeutic alphabetize, which is merely the ratio of LD50 to ED50.[ citation needed ]

The post-obit examples are listed in reference to LD50 values, in descending order, and accompanied by LC50 values, {bracketed}, when appropriate.

Substance Animate being, route LDl
{LC50}
LD50 : g/kg
{LC50 : g/L}
standardised
Reference
Water (H2O) rat, oral 90,000 mg/kg xc [vii]
Sucrose (table carbohydrate) rat, oral 29,700 mg/kg 29.7 [8]
Glucose (blood carbohydrate) rat, oral 25,800 mg/kg 25.8 [9]
Monosodium glutamate (MSG) rat, oral sixteen,600 mg/kg 16.6 [10]
Stevioside (from stevia) mice and rats, oral fifteen,000 mg/kg 15 [11]
Gasoline (petrol) rat 14,063 mg/kg 14.0 [12]
Vitamin C (ascorbic acid) rat, oral 11,900 mg/kg 11.nine [13]
Glyphosate (isopropylamine salt of) rat, oral x,537 mg/kg 10.537 [fourteen]
Lactose (milk sugar) rat, oral 10,000 mg/kg ten [15]
Aspartame mice, oral 10,000 mg/kg 10 [16]
Urea (OC(NH2)2 ) rat, oral 8,471 mg/kg eight.471 [17]
Cyanuric acid rat, oral 7,700 mg/kg 7.seven [xviii]
Cadmium sulfide (CdS) rat, oral 7,080 mg/kg 7.08 [19]
Ethanol (CH3CH2OH) rat, oral seven,060 mg/kg 7.06 [20]
Sodium isopropyl methylphosphonic acid (IMPA, metabolite of sarin) rat, oral 6,860 mg/kg six.86 [21]
Melamine rat, oral 6,000 mg/kg 6 [xviii]
Taurine rat, oral 5,000 mg/kg 5 [22]
Melamine cyanurate rat, oral 4,100 mg/kg iv.1 [eighteen]
Fructose (fruit sugar) rat, oral 4,000 mg/kg 4 [23]
Sodium molybdate (Na2MoO4 ) rat, oral 4,000 mg/kg four [24]
Sodium chloride (table common salt) rat, oral iii,000 mg/kg 3 [25]
Paracetamol (acetaminophen) rat, oral one,944 mg/kg 1.944 [26]
Delta-9-tetrahydrocannabinol (THC) rat, oral one,270 mg/kg 1.27 [27]
Cannabidiol (CBD) rat, oral 980 mg/kg 0.98 [28]
Methanol (CHthreeOH) human, oral 810 mg/kg 0.81 [29]
Arsenic (As) rat, oral 763 mg/kg 0.763 [30]
Ibuprofen rat, oral 636 mg/kg 0.636 [31]
Formaldehyde (CHtwoO) rat, oral 600–800 mg/kg 0.6 [32]
Solanine (main alkaloid in the several plants in Solanaceae amongst them Solanum tuberosum) rat, oral (2.8 mg/kg human being, oral) 590 mg/kg 0.590 [33]
Alkyl dimethyl benzalkonium chloride (ADBAC) rat, oral
fish, immersion
aquatic invertebrates, immersion
304.5 mg/kg
{0.28 mg/50}
{0.059 mg/Fifty}
0.3045
{0.00028}
{0.000059}
[34]
Coumarin (benzopyrone, from Cinnamomum aromaticum and other plants) rat, oral 293 mg/kg 0.293 [35]
Psilocybin (from magic mushrooms) mouse, oral 280 mg/kg 0.280 [36]
Hydrochloric acid (HCl) rat, oral 238–277 mg/kg 0.238 [37]
Ketamine rat, intraperitoneal 229 mg/kg 0.229 [38]
Aspirin (acetylsalicylic acid) rat, oral 200 mg/kg 0.2 [39]
Caffeine rat, oral 192 mg/kg 0.192 [40]
Arsenic trisulfide (AsS3 ) rat, oral 185–6,400 mg/kg 0.185–6.4 [41]
Sodium nitrite (NaNOtwo ) rat, oral 180 mg/kg 0.18 [42]
Methylenedioxymethamphetamine (MDMA, ecstasy) rat, oral 160 mg/kg 0.18 [43]
Uranyl acetate dihydrate (UOtwo(CH3COO)two ) mouse, oral 136 mg/kg 0.136 [44]
Dichlorodiphenyltrichloroethane (Ddt) mouse, oral 135 mg/kg 0.135 [45]
Uranium (U) mice, oral 114 mg/kg (estimated) 0.114 [44]
Bisoprolol mouse, oral 100 mg/kg 0.1 [46]
Cocaine mouse, oral 96 mg/kg 0.096 [47]
Cobalt(Two) chloride (CoCl2 ) rat, oral 80 mg/kg 0.08 [48]
Cadmium oxide (CdO) rat, oral 72 mg/kg 0.072 [49]
Thiopental sodium (used in lethal injection) rat, oral 64 mg/kg 0.064 [fifty]
Demeton-S-methyl rat, oral 60 mg/kg 0.060 [51]
Methamphetamine rat, intraperitoneal 57 mg/kg 0.057 [52]
Sodium fluoride (NaF) rat, oral 52 mg/kg 0.052 [53]
Nicotine mouse and rat, oral

human, smoking

50 mg/kg 0.05 [54]
Pentaborane human, oral 50 mg/kg 0.05 [55]
Capsaicin mouse, oral 47.2 mg/kg 0.0472 [56]
Vitamin D3 (cholecalciferol) rat, oral 37 mg/kg 0.037 [57]
Piperidine (from blackness pepper) rat, oral 30 mg/kg 0.030 [58]
Heroin (diamorphine) mouse, intravenous 21.eight mg/kg 0.0218 [59]
Lysergic acid diethylamide (LSD) rat, intravenous 16.5 mg/kg 0.0165 [60]
Arsenic trioxide (Equally2O3 ) rat, oral 14 mg/kg 0.014 [61]
Metallic arsenic (As) rat, intraperitoneal xiii mg/kg 0.013 [62]
Sodium cyanide (NaCN) rat, oral 6.iv mg/kg 0.0064 [63]
Chlorotoxin (CTX, from scorpions) mice 4.3 mg/kg 0.0043 [64]
Hydrogen cyanide (HCN) mouse, oral 3.7 mg/kg 0.0037 [65]
Carfentanil rat, intravenous iii.39 mg/kg 0.00339 [66]
Nicotine (from diverse Solanaceae genera) mice, oral 3.3 mg/kg 0.0033 [54]
White phosphorus (P) rat, oral three.03 mg/kg 0.00303 [67]
Strychnine (from Strychnos nux-vomica) human, oral one–two mg/kg (estimated) 0.001–0.002 [68]
Mercury(II) chloride (HgClii ) rat, oral 1 mg/kg 0.001 [69]
Nicotine human, oral 0.8 mg/kg (estimated) 0.0008 [54]
Cantharidin (from blister beetles) human, oral 500 μg/kg 0.0005 [70]
Aflatoxin B1 (from Aspergillus flavus mold) rat, oral 480 μg/kg 0.00048 [71]
Plutonium (Pu) domestic dog, intravenous 320 μg/kg 0.00032 [72]
Amatoxin (from Amanita phalloides mushrooms) rat 300-700 μg/kg 0.0007 [73]
Bufotoxin (from Bufo toads) cat, intravenous 300 μg/kg 0.0003 [74]
Caesium-137 ( 137
Cs
)
mouse, parenteral 21.five μCi/g 0.000245 [75]
Sodium fluoroacetate (CH2FCOONa) rat, oral 220 μg/kg 0.00022 [76]
Sarin mouse, subcutaneous injection 172 μg/kg 0.000172 [77]
Robustoxin (from Sydney funnel-spider web spider) mice 150 μg/kg 0.000150 [78]
VX human, oral, inhalation, absorption through skin/eyes 140 μg/kg (estimated) 0.00014 [79]
Venom of the Brazilian wandering spider rat, subcutaneous 134 μg/kg 0.000134 [80]
Aconitine (from Aconitum napellus and related species) rat, intraveneous 80 μg/kg 0.000080 [81]
Dimethylmercury (Hg(CH3)2 ) human, transdermal fifty μg/kg 0.000050 [82]
TBPO (t-Butyl-bicyclophosphate) mouse, intravenous 36 μg/kg 0.000036 [83]
Fentanyl monkey 30 μg/kg 0.00003 [84]
Venom of the Inland Taipan (Australian snake) rat, subcutaneous 25 μg/kg 0.000025 [85]
Ricin (from castor oil found) rat, intraperitoneal
rat, oral
22 μg/kg
20–30 mg/kg
0.000022
0.02
[86]
2,3,7,viii-Tetrachlorodibenzodioxin (TCDD, in Amanuensis Orange) rat, oral 20 μg/kg 0.00002
Tetrodotoxin from the blue-ringed octopus intravenous viii.ii μg/kg 0.0000082 [87]
CrTX-A (from Carybdea rastonii box jellyfish venom) crayfish, intraperitoneal 5 μg/kg 0.000005 [88]
Latrotoxin (from widow spider venom) mice iv.iii μg/kg 0.0000043 [89] [ self-published source? ]
Epibatidine (from Epipedobates anthonyi poison dart frog) mouse, intravenous one.46-13.98 μg/kg 0.00000146 [90]
Batrachotoxin (from poison sprint frog) human, sub-cutaneous injection two–7 μg/kg (estimated) 0.000002 [91]
Abrin (from rosary pea) mice, intravenously

man, inhalation

human, oral

0.7 μg/kg

3.3 μg/kg

10–m μg/kg

0.0000007

0.0000033

0.00001–0.001

Saxitoxin (from certain marine dinoflagellates) homo, intravenously

human, oral

0.half dozen μg/kg

5.vii μg/kg

0.0000006

0.0000057

[91]
Pacific Ciguatoxin-1 (from ciguateric fish) mice, intraperitoneal 250 ng/kg 0.00000025 [92]
Palytoxin (from Palythoa coral) mouse, intravenous 45 ng/kg

2.iii–31.v μg/kg

0.000000045

0.0000023

[93]
Maitotoxin (from ciguateric fish) mouse, intraperitoneal l ng/kg 0.00000005 [94]
Polonium-210 ( 210
Po
)
human, inhalation 10 ng/kg (estimated) 0.00000001 [95]
Diphtheria toxin (from Corynebacterium) mice 10 ng/kg 0.00000001 [96]
Shiga toxin (from Shigella leaner) mice 2 ng/kg 0.000000002 [96]
Tetanospasmin (from Clostridium tetani) mice 2 ng/kg 0.000000002 [96]
Botulinum toxin (from Clostridium botulinum) human, oral, injection, inhalation one ng/kg (estimated) 0.000000001 [97]
Ionizing radiations homo, irradiation 5 Gy (Gray) [98]

Poison scale [edit]

Negative values of the decimal logarithm of the median lethal dose LD50 (−log10(LD50)) on a linearized toxicity scale encompassing xi orders of magnitude. Water occupies the lowest toxicity position (ane) while the toxicity scale is dominated by the botulinum toxin (12).[99]

The LD50 values take a very wide range. The botulinum toxin as the almost toxic substance known has an LD50 value of 1 ng/kg, while the nearly non-toxic substance h2o has an LDl value of more than than xc g/kg. That'due south a difference of about 1 in 100 billion or 11 orders of magnitude. As with all measured values that differ by many orders of magnitude, a logarithmic view is advisable. Well-known examples are the indication of the convulsion strength using the Richter scale, the pH value, every bit a measure out for the acidic or basic character of an aqueous solution or of loudness in decibels . In this case, the negative decimal logarithm of the LDl values, which is standardized in kg per kg torso weight, is considered −log10(LDfifty).

The dimensionless value found tin can be entered in a toxin calibration. H2o as the baseline substance is neatly i in the negative logarithmic toxin scale.

Animal rights concerns [edit]

Animal-rights and animal-welfare groups, such as Animal Rights International,[100] take campaigned against LD50 testing on animals. Several countries, including the U.k., accept taken steps to ban the oral LD50, and the Organization for Economic Co-operation and Evolution (OECD) abolished the requirement for the oral test in 2001 (see Examination Guideline 401, Trends in Pharmacological Sciences Vol 22, Feb 22, 2001).

Come across also [edit]

  • Animal testing
  • Reed-Muench method
  • The dose makes the poison – the toxicology adage that high quantities of any substance is lethal

Other measures of toxicity [edit]

  • IDLH
  • Certain safety gene
  • Therapeutic index
  • Protective index
  • Fixed Dose Procedure to estimate LD50
  • Median toxic dose (TD50)
  • Lowest published toxic concentration (TCLo)
  • Everyman published lethal dose (LDLo)
  • ECl (half maximal effective concentration)
  • IC50 (one-half maximal inhibitory concentration)
  • Draize examination
  • Indicative limit value
  • No-observed-adverse-effect level (NOAEL)
  • Everyman-observed-agin-outcome level (LOAEL)
  • Up-and-downward procedure

[edit]

  • TCID50 Tissue Civilization Infective Dosage
  • EIDl Egg Infective Dosage
  • ELD50 Egg Lethal Dosage
  • Plaque forming units (pfu)

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External links [edit]

  • Canadian Centre for Occupational Health and Safety
  • Lipnick RL, Cotruvo JA, Colina RN, Bruce RD, Stitzel KA, Walker AP, et al. (March 1995). "Comparing of the up-and-downwards, conventional LD50, and fixed-dose acute toxicity procedures". Food and Chemical Toxicology. 33 (3): 223–31. doi:10.1016/0278-6915(94)00136-C. PMID 7896233.

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Source: https://en.wikipedia.org/wiki/Median_lethal_dose

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