Ligand efficiency
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Ligand efficiency is a measurement of the
binding energy In physics and chemistry, binding energy is the smallest amount of energy required to remove a particle from a system of particles or to disassemble a system of particles into individual parts. In the former meaning the term is predominantly use ...
per atom of a
ligand In coordination chemistry, a ligand is an ion or molecule with a functional group that binds to a central metal atom to form a coordination complex. The bonding with the metal generally involves formal donation of one or more of the ligand's el ...
to its binding partner, such as a receptor or enzyme. Ligand efficiency is used in
drug discovery In the fields of medicine, biotechnology, and pharmacology, drug discovery is the process by which new candidate medications are discovered. Historically, drugs were discovered by identifying the active ingredient from traditional remedies or ...
research programs to assist in narrowing focus to
lead compound A lead compound (, i.e. a "leading" compound, not to be confused with various compounds of the metallic element lead) in drug discovery is a chemical compound that has pharmacological or biological activity likely to be therapeutically useful, but ...
s with optimal combinations of physicochemical properties and pharmacological properties. Mathematically, ligand efficiency (LE) can be defined as the ratio of
Gibbs free energy In thermodynamics, the Gibbs free energy (or Gibbs energy as the recommended name; symbol is a thermodynamic potential that can be used to calculate the maximum amount of Work (thermodynamics), work, other than Work (thermodynamics)#Pressure–v ...
(ΔG) to the number of non-hydrogen atoms of the compound: :LE = -(Δ''G'')/''N'' where Δ''G'' = −''RT''ln''Ki'' and ''N'' is the number of non-hydrogen atoms. It can be transformed to the equation: :LE = 1.4(−log IC50)/''N''


Other metrics

Some suggest that better metrics for ligand efficiency are percentage/potency efficiency index (PEI), binding efficiency index (BEI) and surface-binding efficiency index (SEI) because they are easier to calculate and take into account the differences between elements in different rows of the periodic table. It is important to note that PEI is a relative measure for comparing compounds tested in the same conditions (e.g. a single-point assay) and are not comparable at different inhibitor concentrations. Also for BEI and SEI, similar measurements must be used (e.g. always using pKi). :PEI = (% inhibition at a given compound concentration as fraction: 0 – 1.0) / (molecular weight, kDa) :BEI = (pKi, pKd, or pIC50) / (molecular weight, kDa) :SEI = (pKi, pKd, or pIC50) / (PSA/100 Å) where pKi, pKd and pIC50 is defined as −log(Ki), −log(Kd), or −log(IC 50), respectively. Ki and IC50 in mol/L. The authors suggest plotting compounds SEI and BEI on a plane and optimizing compounds towards the diagonal and so optimizing both SEI and BEI which incorporate potency, molecular weight and PSA. There are other metrics which can be useful during hit to lead optimization: group efficiency (GE), lipophilic efficiency/lipophilic ligand efficiency (LipE/LLE), ligand lipophilicity index (LLEAT) ligand efficiency dependent lipophilicity (LELP), fit quality scaled ligand efficiency (LEscale), size independent ligand efficiency (SILE). Group efficiency (GE) is a metric used to estimate the binding efficiency of groups added to a ligand. Unlike ligand efficiency which evaluates the efficiency of the entire molecule, group efficiency measures the relative change of the Gibbs free energy (ΔΔG), caused by addition or modification of groups, normalized by the change in the number heavy atoms in those groups (ΔN), using the equation: :GE = -(ΔΔ''G'')/Δ''N''


See also

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Drug design Drug design, often referred to as rational drug design or simply rational design, is the invention, inventive process of finding new medications based on the knowledge of a biological target. The drug is most commonly an organic compound, organi ...
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Drug discovery hit to lead Hit to lead (H2L) also known as lead generation is a stage in early drug discovery where small molecule hits from a high-throughput screening, high throughput screen (HTS) are evaluated and undergo limited optimization to identify promising lead co ...


References

{{Medicinal chemistry Drug discovery Medicinal chemistry