The Swiss mathematician Leonhard EulerLeonhard Euler Euler invented the calculus of variations including its most well-known result, the Euler–Lagrange equation. Euler also pioneered the use of analytic methods to solve number theory problems. In doing so, he united two disparate branches of mathematics and introduced a new field of study, analytic number theory. › wiki › Contributions_of_Leonhard_...

Contributions of Leonhard Euler to mathematics - Wikipedia

was finally responsible for the development of a school of authentic combinatorial mathematics beginning in the 18th century. He became the father of graph theory when he settled the Königsberg bridge problem, and his famous conjecture on Latin squares was not resolved until 1959.

Who discovered combinatorial chemistry?

Combinatorial chemistry¹⁹ has its earliest origins in the solid phase of peptides pioneered by R. Bruce Merrifield's (Nobel Prize in 1963). It soon evolved into a multitude of solid-phase technologies originally focused on the generation of large libraries of peptides or their mixtures (1990s).

What are combinatorial methods?

Combinatorial method may refer to: Combinatorial method (linguistics), a method used for the study of unknown languages. ... Combinatorial optimization, combinatorial methods in applied mathematics and theoretical computer science used in finding an optimal object from a finite set of objects.

What is the main principle of combinatorial chemistry?

The basic principle of combinatorial chemistry is to prepare a large number of differ- ent compounds at the same time - instead of synthesizing compounds in a conventional one-at-a-time manner - and then to identify the most promising compound for further development by high-throughput screening.

Which method is used in combinatorial synthesis?

From the stand point of the synthetic chemist, Combinatorial Synthesis involves the use of processes (solid phase synthesis) and strategies (hundreds or thousands of simultaneous reactions) which allow the preparation, in a short time, of big, organized collections of organic compounds, the so called molecular ...

Konstantin Olmezov "An elementary approach to the operator method in additive combinatorics"

21 related questions found

What is combinatorial chemical libraries?

Definition. Combinatorial libraries are collections of chemical compounds, small molecules or macromolecules such as proteins, synthesized by combinatorial chemistry, in which multiple different combinations of related chemical species are reacted together in similar chemical reactions.

What is combinatorial library design?

Combinatorial libraries are collections of large number of synthetic, chemical or biological compounds that are synthesized and stored in mixtures taking into account all possible combinations of the building blocks.

What is combinatorial chemistry in new drug discovery?

Introduction. Combinatorial chemistry involves the generation of a large array of structurally diverse compounds, called a chemical library, through systematic, repetitive and covalent linkage of various “building blocks”.

What is the importance of combinatorial chemistry?

Combinatorial chemistry is one of the important new methodologies developed by researchers in the pharmaceutical industry to reduce the time and costs associated with producing effective and competitive new drugs. This branch of chemistry is very young, but in this short time it has had profound effects.

What is combinatorial chemistry PPT?

Introduction: •Combinatorial chemistry is a technique by which large numbers of different but structurally similar molecules are produced rapidly and submitted for pharmacological assay. •This technique uses the same reaction conditions with the same reaction vessels to produce a large range of analogues.

What is meant by combinatorial?

1 : of, relating to, or involving combinations. 2 : of or relating to the arrangement of, operation on, and selection of discrete mathematical elements belonging to finite sets or making up geometric configurations.

What is combinatorial software testing?

Combinatorial testing is a testing technique in which multiple combinations of the input parameters are used to perform testing of the software product. The aim is to ensure that the product is bug-free and can handle different combinations or cases of the input configuration.

What is combinatorial effect?

An automobile manufacturer developed a disruptive customer engagement model by combining several emerging technologies. It is powered by IoT technologies for communication. ... The manufacturing process leverages micro-factories enabled by 3D printing.

What is combination chemistry?

A combination reaction is a reaction in which two or more substances combine to form a single new substance. Combination reactions can also be called synthesis reactions. The general form of a combination reaction is: A+B→AB. One combination reaction is two elements combining to form a compound.

What means Pharmacophore?

Pharmacophore is defined as “an ensemble of steric and electronic features that is necessary to ensure the optimal supramolecular interactions with a specific biologic target and to trigger (or block) its biologic response.”

What is combinatorial chemistry describe the solid phase and solution phase synthesis?

A common combinatorial technique uses organic synthesis on solid support. Linker groups are attached to resin beads in the solid phase and the reactants are passed over in solution to make the intermediates and a final detachment-from-resin reaction is run to get the desired product out of the column.

What is the name of the modern variant of combinatorial chemistry?

Dynamic combinatorial chemistry (DCC); also known as constitutional dynamic chemistry (CDC) is a method to the generation of new molecules formed by reversible reaction of simple building blocks under thermodynamic control.

What is linker in combinatorial chemistry?

Multidetachable linkers allow the preparation of different products depending on the cleavage conditions selected. ... Structural elucidation of hits from mixtures of products is another application of linkers in combinatorial chemistry, allowing “tags” of a variety of forms to be incorporated and read.

What is lead discovery in drug discovery?

During lead discovery, an intensive search ensues to find a drug-like small molecule or biological therapeutic, typically termed a development candidate, that will progress into preclinical, and if successful, into clinical development (Figure 2) and ultimately be a marketed medicine.

What is meant by de novo drug design?

De novo drug design is an iterative process in which the three-dimensional structure of the receptor is used to design newer molecules. It involves structure determination of the lead target complexes and the design of lead modifications using molecular modeling tools.

How are chemical compound libraries related to high throughput screening?

However, since many molecular interactions cannot be predicted, the wider the chemical space that is sampled by the chemical library, the better the chance that high-throughput screening will find a "hit"—a chemical with an appropriate interaction in a biological model that might be developed into a drug.

What is a combinatorial DNA library?

What is a combinatorial DNA library? In a combinatorial DNA library, multiple nucleotide positions can be mutated within the sequence and mutations at different positions can be combined with each other.

What is parallel synthesis?

What is Parallel Synthesis? Parallel synthesis enables substantial time savings and compound differentiation by running multiple experiments simultaneously. Parallel synthesis is used to accelerate the discovery of new compounds and to screen for optimal process conditions.

How does high throughput screening work?

High-throughput screening (HTS) is a drug discovery process that allows automated testing of large numbers of chemical and/or biological compounds for a specific biological target. ... They accelerate target analysis, as large scale compound libraries can quickly be screened in a cost effective way.