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Therapeutic index: therapeutic index of a drug is the ratio of the dose that produces toxicity to the dose that produces a clinically desired or effective response in a population of individuals. in humans in animals Where: TD50 is the dose of drug that causes a toxic response in 50% of the population and ED50 is the dose of drug that is therapeutically effective in 50% of the population. LD lethal dose he value of LD50 for a substance is the dose required to kill half the members of a tested population after a specified test duration How therapeutic index is determined Therapeutic index and quantal dose response curves Both ED50 and TD50 are calculated from quantal dose response curves, which represent the frequency with which each dose of drug elicits the desired response or toxic effect in the population. 1 There are some important characteristics of quantal dose-response curves (see image above) that are worth noting: Dose of drug in plasma is plotted in the horizontal axis while the percentage of individuals (animals or humans) that responds or shows a toxic effect is represented in the vertical axis. These curves measure all or none (positive or negative) responses. Some examples of positive responses include: relief of headache for an antimigraine drug, increase in heart rate of at least 20 bpm for a cardiac stimulant, or 10 mmHg fall in diastolic blood pressure for an antihypertensive. Data is obtained from a population. Unlike graded dose-response graphs, data for quantal dose-response curves is obtained from many individuals. ED50 The graph below shows how ED50 is calculated. ED50 The dose required to cause a therapeutic effect (positive response) in 50% of a population is the ED50. 2 TD50 TD50 The dose required to produce a toxic effect in 50% of the studied population is the TD50. For animal studies, LD50 is the dose that results in death of 50% of the population. Narrow therapeutic index drugs 3 The list below mentions some examples of narrow therapeutic index drugs: Warfarin Lithium Digoxin Phenytoin Gentamycin A high Therapeutic Index (TI) is preferable for a drug to have a favorable safety profile. At early discovery / development stage TI is an important indicator of the probability of the successful development of a drug. TI is the quantitative relationship between efficacy (pharmacology) and safety (toxicology), without considering the nature of pharmacological or toxicological endpoints themselves. However, to convert a calculated TI to something that is more than just a number, the nature and limitations of .pharmacological and/or toxicological endpoints must be considered. In general, it is the exposure of a given tissue to drug (i.e. drug concentration over time), rather than dose, that drives the pharmacological and toxicological effects. For example, at the same dose there may be marked inter-individual variability in exposure due to polymorphisms in metabolism. 4 The therapeutic index varies widely among substances: Drug (Remifentanyl) opioid analgesics TI( THEARPUTIC INDEX ) 33,000:1 More safe (Tetrahydrocannabinol) 1000:1 a sedative and analgesic of herbal origin (cannabis) (Diazepam) 100:1 a benzodiazepine sedativehypnotic and skeletal muscle relaxant has (morphine) a sedative, antidepressant, and analgesic also of herbal 70:1 origin (genus Papaver) (Cocaine) a stimulant and local anaesthetic Safety 15:1 10:1 Ethanol "alcohol" in alcoholic beverages), a widely available sedative Digoxin Less safe 2:1 (a cardiac glycoside Other examples of drugs with a narrow therapeutic range, which may require drug monitoring both to achieve therapeutic levels and to minimize toxicity, include: paracetamol (acetaminophen), dimercaprol, theophylline, warfarin and lithium carbonate. 5 Some antibiotics require monitoring to balance efficacy with minimizing adverse effects, including: gentamicin, vancomycin, amphotericin B (nicknamed 'amphoterrible' for this very reason), and polymyxin B The effective therapeutic index can be affected by targeting, in which the therapeutic agent is concentrated in its area of effect. For example, in radiation therapy for cancerous tumors, shaping the radiation beam precisely to the profile of a tumor in the "beam's eye view" can increase the delivered dose without increasing toxic effects, though such shaping might not change the therapeutic index. 6