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In biotechnology, combinatorial biology is the creation of a large number of compounds (usually proteins or peptides) through technologies such as phage
Combinatorial_biology
Branch of discrete mathematics
from evolutionary biology to computer science. Combinatorics is well known for the breadth of the problems it tackles. Combinatorial problems arise in
Combinatorics
Compound library-based chemical synthesis method
Combinatorial chemistry comprises chemical synthetic methods that make it possible to prepare a large number (tens to thousands or even millions) of compounds
Combinatorial_chemistry
the creation of synthetic peptide combinatorial libraries (SPCL). Houghten continued his work in combinatorial biology with an article in Methods, the journals
Richard_A._Houghten
DCC was also used to study the abiotic origins of life. Combinatorial biology Combinatorial chemistry Drug discovery Fragment-based lead discovery High-throughput
Dynamic combinatorial chemistry
Dynamic_combinatorial_chemistry
Symmetric arrangement of finite sets
Combinatorial design theory is the part of combinatorial mathematics that deals with the existence, construction and properties of systems of finite sets
Combinatorial_design
Scientific discipline
Liu R, Li X, Lam KS (June 2017). "Combinatorial chemistry in drug discovery". Current Opinion in Chemical Biology. 38: 117–126. doi:10.1016/j.cbpa.2017
Chemical_biology
Interdisciplinary branch of biology and engineering
hybrid engineering, biophysical modelling, combinatorial design, and rational design. Synthetic biology has been used for organoids, which are lab-grown
Synthetic_biology
Structure-based combinatorial protein engineering (SCOPE) is a synthetic biology technique for creating gene libraries (lineages) of defined composition
Structure-based combinatorial protein engineering
Structure-based_combinatorial_protein_engineering
Technology for screening small molecule compounds
used in medicinal chemistry to bridge the fields of combinatorial chemistry and molecular biology. The aim of DECL technology is to accelerate the drug
DNA-encoded_chemical_library
Turkish-American bioengineer and materials scientist
biomimetics. Her group was among the first to use phage display and combinatorial biology techniques to select material-specific peptides (known as genetically
Candan_Tamerler
American computer scientist and educator
algorithms, with work in combinatorial optimization, graph partitioning, network flow, metric embeddings, and computational biology. Rao received the Fulkerson
Satish_B._Rao
Graph formed from disjoint paths
Verdière graph parameter", in Lovász, László (ed.), Graph Theory and Combinatorial Biology, Bolyai Society Mathematical Studies, vol. 7, Budapest, Hungary:
Linear_forest
Bailey-Kellogg C (November 2011). "Optimization of combinatorial mutagenesis". Journal of Computational Biology. 18 (11): 1743–56. Bibcode:2011LNCS.6577..321P
Mutagenesis (molecular biology technique)
Mutagenesis_(molecular_biology_technique)
Graph property
(1999), "The Colin de Verdière graph parameter", Graph Theory and Combinatorial Biology (Balatonlelle, 1996), Bolyai Soc. Math. Stud., vol. 7, Budapest:
Colin de Verdière graph invariant
Colin_de_Verdière_graph_invariant
pool (split-mix) synthesis is a method in combinatorial chemistry that can be used to prepare combinatorial compound libraries. It is a stepwise, highly
Split_and_pool_synthesis
Way to divide polygon into smaller parts
exactly when the subdivision rule is "conformal", as described in the combinatorial Riemann mapping theorem. Applications of subdivision rules. Islamic
Finite_subdivision_rule
Branch of computer science
(3D reconstruction). The main branches of computational geometry are: Combinatorial computational geometry, also called algorithmic geometry, which deals
Computational_geometry
American research chemist (1938–2021)
chemist. He was best known for his work on catalytic antibodies and combinatorial antibody libraries. Lerner served as President of The Scripps Research
Richard_Lerner
Numerous key discoveries in biology have emerged from studies of RNA (ribonucleic acid), including seminal work in the fields of biochemistry, genetics
History_of_RNA_biology
Process in biology
"Quantitative analysis of EGFRvIII cellular signaling networks reveals a combinatorial therapeutic strategy for glioblastoma". Proceedings of the National
Degeneracy_(biology)
Scientific journal (created in 2012)
ACS Synthetic Biology is a peer-reviewed scientific journal published by the American Chemical Society. It began publishing accepted articles in the Fall
ACS_Synthetic_Biology
Topics referred to by the same term
microstructure of a material Quantum annealing, a method for solving combinatorial optimisation problems and ground states of glassy systems Simulated
Annealing
Academic journal
ACS Combinatorial Science (usually abbreviated as ACS Comb. Sci.), formerly Journal of Combinatorial Chemistry (1999-2010), was a peer-reviewed scientific
ACS_Combinatorial_Science
American scientific society
Catalysis ACS Central Science ACS Chemical Biology ACS Chemical Health & Safety ACS Chemical Neuroscience ACS Combinatorial Science ACS Earth and Space Chemistry
American_Chemical_Society
Change in the heritable traits of populations
ISSN 0066-4197. PMID 14616063. Walsh, Timothy R. (October 2006). "Combinatorial genetic evolution of multiresistance". Current Opinion in Microbiology
Evolution
Theory describing technology development
screw. A described mechanism of technological change has been termed, “combinatorial evolution”. Others have called it, “technological recursion”. Brian
Technological_evolution
Danish chemist (born 1954)
(2018). "Sustainable Flow Synthesis of Encoded Beads for Combinatorial Chemistry and Chemical Biology". ACS Comb. Sci. 20 (8): 492–498. doi:10.1021/acscombsci
Morten_P._Meldal
High throughput biology (or high throughput cell biology) is the use of automation equipment with classical cell biology techniques to address biological
High_throughput_biology
American computer scientist
performance computing, data science, bioinformatics and systems biology, combinatorial methods in scientific computing, and string algorithms. Aluru is
Srinivas_Aluru
Pharmaceutical discovery procedure
describe the difference between the combinatorial chemistry libraries and natural products. The synthetic, combinatorial library compounds seem to cover only
Drug_discovery
Rule of thumb to predict if a chemical compound is likely to be an orally active drug
Wendoloski JJ (January 1999). "A knowledge-based approach in designing combinatorial or medicinal chemistry libraries for drug discovery. 1. A qualitative
Lipinski's_rule_of_five
Mathematical models of strategic interactions
called combinatorial games. Examples include chess, shogi, and Go. Games that involve imperfect information may also have a strong combinatorial character
Game_theory
Mathematical model
collective problem solving, epistasis and pleiotropy in evolutionary biology, and combinatorial optimisation. Boroomand, Amin; Smaldino, Paul E. (2023). "Superiority
NK_model
Set of edges without common vertices
"Extremal problems for topological indices in combinatorial chemistry" (PDF), Journal of Computational Biology, 12 (7): 1004–1013, doi:10.1089/cmb.2005.12
Matching_(graph_theory)
Academic journal
ACS Chemical Biology is a monthly peer-reviewed scientific journal published since 2006 by the American Chemical Society. It covers research at the interface
ACS_Chemical_Biology
intersections have certain properties. Combinatorial game theory Combinatorial geometry see discrete geometry Combinatorial group theory the theory of free groups
Glossary of areas of mathematics
Glossary_of_areas_of_mathematics
Computational chemistry
process of drug discovery, for instance in the design of well-defined combinatorial libraries of synthetic compounds, or to assist in structure-based drug
Cheminformatics
American computer scientist
California, Davis. Gusfield is known for his research in combinatorial optimization and computational biology. Gusfield received his undergraduate degree in computer
Dan_Gusfield
Using robots in biology or chemistry labs
Cargill, J. F.; Lebl, M., New methods in combinatorial chemistry — robotics and parallel synthesis. Current Opinion in Chemical Biology 1997, 1 (1), 67-71.
Laboratory_robotics
Study of discrete mathematical structures
from topology and algebraic topology/combinatorial topology in combinatorics. Design theory is a study of combinatorial designs, which are collections of
Discrete_mathematics
Molecular biology technique
Chromatin using sequencing) is a laboratory technique used in molecular biology to assess genome-wide chromatin accessibility. The technique was introduced
ATAC-seq
Directed graph with no directed cycles
Jean-Claude (1976), "Maximal closure of a graph and applications to combinatorial problems", Management Science, 22 (11): 1268–1272, doi:10.1287/mnsc
Directed_acyclic_graph
Process in bioinformatics that identifies equivalent sites within molecular sequences
to produce and most formulations of the problem lead to NP-complete combinatorial optimization problems. Nevertheless, the utility of these alignments
Sequence_alignment
Possible alternative biochemicals used by life forms
macromolecules are artificial polymers, and so "monotonous compared with the combinatorial universe of organic macromolecules". Even so, some Earth life uses biogenic
Hypothetical types of biochemistry
Hypothetical_types_of_biochemistry
American biologist
similarly provide contextual responses to combinatorial inputs. Elowitz and his team also applied synthetic biology and rewiring approaches to understand
Michael_Elowitz
Class of artificial neural networks
social networks, citation networks, molecular biology, chemistry, physics and NP-hard combinatorial optimization problems. Open source libraries implementing
Graph_neural_network
Branch of mathematics
computational geometry, algebraic topology, discrete geometry (also known as combinatorial geometry), etc.—or on the properties of Euclidean spaces that are
Geometry
American biochemist and inventor (born 1957)
biotechnology company in San Diego. Czarnik was also the founding editor of ACS Combinatorial Science. He currently serves as an adjunct visiting professor at the
Anthony_Czarnik
Genus of amphibians
which are commonly studied as model organisms for developmental biology, cell biology, toxicology, neuroscience and for modelling human disease and birth
Xenopus
Life arising from non-living matter
(31 May 2018). "Simple prebiotic synthesis of high diversity dynamic combinatorial polyester libraries". Communications Chemistry. 1 (1): 30. Bibcode:2018CmChe
Abiogenesis
British biochemist (born 1951)
Winter, G. (2009). "Phage-encoded combinatorial chemical libraries based on bicyclic peptides". Nature Chemical Biology. 5 (7): 502–507. doi:10.1038/nchembio
Gregory_Winter
African elephant species
classified into three main types: single rumble, single broadband, and combinatorial. Rumbles are tonal, low-frequency calls, while broadband are calls that
African_forest_elephant
Weekly peer-reviewed journal
Engineering ACS Catalysis ACS Central Science ACS Chemical Biology ACS Chemical Neuroscience ACS Combinatorial Science ACS Earth and Space Chemistry ACS Energy
Journal of the American Chemical Society
Journal_of_the_American_Chemical_Society
Academic journal
It covers aspects of materials, engineering, chemistry, physics, and biology relevant to sustainable applications in energy conversion and storage.
ACS_Applied_Energy_Materials
Computing using molecular biology hardware
of unconventional computing which uses DNA, biochemistry, and molecular biology hardware, instead of the traditional electronic computing. Research and
DNA_computing
reactions. New MCR's are found by building a chemical library from combinatorial chemistry or by combining existing MCR's. For example, a 7-component
Multi-component_reaction
Name of an RNA molecule
families share overlapping target sites in several SPL genes, resulting in combinatorial regulation of plant developmental processes. Phylogenetic analyses indicate
MiR529 microRNA precursor family
MiR529_microRNA_precursor_family
Israeli computer scientist
1954) is an Israeli computer scientist noted for his contributions to combinatorial pattern matching and string algorithms and is the founding department
Gad_Landau
Canadian computational biologist
interests include computational biology, bioinformatics, and discrete mathematics.His work has examined topics in combinatorial semigroup theory as well as
Louxin_Zhang
Molecular biology technique
In molecular biology, alanine scanning is a site-directed mutagenesis technique used to determine the contribution of a specific residue to the stability
Alanine_scanning
Quantum Computing company in Boston, Massachusetts
software for simulating systems of Rydberg atoms and finding solutions to combinatorial optimization problems. QuEra Computing was founded by Mikhail Lukin
QuEra
Cascade of intracellular and molecular events for transmission/amplification of signals
networks, which allow cellular responses to be coordinated, often by combinatorial signaling events. At the molecular level, such responses include changes
Signal_transduction
Supposition or system of ideas intended to explain something
— Category theory — Chaos theory — Choquet theory — Coding theory — Combinatorial game theory — Computability theory — Computational complexity theory
Theory
Patented molecular cloning method
restriction enzymes Gibson, Daniel. "Methods for in vitro joining and combinatorial assembly of nucleic acid molecules". Google Patents. Retrieved 30 January
Gibson_assembly
American geneticist (born 1954)
chemist, serial entrepreneur, and pioneer in personal genomics and synthetic biology. He is the Robert Winthrop Professor of Genetics at Harvard Medical School
George_Church_(geneticist)
Application of mathematical methods to other fields
mathematical methods by different fields such as physics, engineering, medicine, biology, finance, business, computer science, social science, and industry. Thus
Applied_mathematics
Graph in which every two vertices are adjacent
"Extremal problems for topological indices in combinatorial chemistry" (PDF), Journal of Computational Biology, 12 (7): 1004–1013, CiteSeerX 10.1.1.379.8693
Complete_graph
Process of determining the nucleic acid sequence
(equipped with a single camera). This method is an upgraded modification to combinatorial probe anchor ligation technology (cPAL) described by Complete Genomics
DNA_sequencing
Protein engineering method
for the directed evolution of enzymes". Current Opinion in Structural Biology. 21 (4): 473–80. doi:10.1016/j.sbi.2011.05.003. PMID 21684150. Lipovsek
Directed_evolution
Area of discrete mathematics
polynomial on graph connectivity. Geometric graph theory focuses on combinatorial and geometric properties of a graph that is drawn in a plane with straight-line
Graph_theory
Technique for producing oligonucleotides that specifically bind to a target
in vitro selection or in vitro evolution, is a combinatorial chemistry technique in molecular biology for producing oligonucleotides of either single-stranded
Systematic evolution of ligands by exponential enrichment
Systematic_evolution_of_ligands_by_exponential_enrichment
American computer scientist (born 1965)
algorithms, combinatorial optimization, operations research, network algorithms, scheduling, algorithm engineering and computational biology. Stein has
Clifford_Stein
American chemist
2024 to 2025 he led Arena BioWorks. His work integrates chemical biology and human biology to advance the science of therapeutics. Key advances include the
Stuart_Schreiber
Conceptual computation method
high-quality approximate solutions to the Traveling Salesman Problem, a combinatorial test with exponentially increasing complexity, in linear time. Fungi
Biological_computation
Field of mathematics and science based on non-linear systems and initial conditions
on initial conditions property, such as combinatorial chaos (I.e. applying recursively a discrete combinatorial action). This is also comparable and similar
Chaos_theory
called a splits graph. If the distance matrix satisfies the Kalmanson combinatorial conditions then Neighbor-net will return the corresponding circular
Neighbor-net
Protein engineering technique
Eric T.; Wittrup, K. Dane (1997). "Yeast surface display for screening combinatorial polypeptide libraries". Nature Biotechnology. 15 (6): 553–557. doi:10
Yeast_display
Adjacent subset of an undirected graph
1016/0378-8733(94)90013-2. Erdős, Paul; Szekeres, George (1935), "A combinatorial problem in geometry" (PDF), Compositio Mathematica, 2: 463–470, archived
Clique_(graph_theory)
Program for solving the travelling salesman problem
movements for seismic surveys, and in studying the scaling properties of combinatorial optimization problems. According to Mulder & Wunsch (2003), Concorde
Concorde_TSP_Solver
American veterinarian and academic
Resource for Optogenetic Mouse Signaling, which develops combinatorial mouse resources for in vivo biology. His laboratory reported development of the first
Michael_Kotlikoff
Type of plane partition
be represented in a combinatorial way using their vertices, sides, two-dimensional faces, etc. Sometimes the induced combinatorial structure is referred
Voronoi_diagram
Control of DNA to RNA conversion in cells
features remain conserved between the two. Most importantly is the idea of combinatorial control, which is that any given gene is likely controlled by a specific
Transcriptional_regulation
Modelling evolution using differential equations
Evolutionary biology portal Evolutionary dynamics is a branch of mathematical evolutionary biology that developed from research using differential equations
Evolutionary_dynamics
Academic journal
Engineering ACS Catalysis ACS Central Science ACS Chemical Biology ACS Chemical Neuroscience ACS Combinatorial Science ACS Earth and Space Chemistry ACS Energy
ACS Medicinal Chemistry Letters
ACS_Medicinal_Chemistry_Letters
Species of bacterium
2015). "Natural Combinatorial Biosynthesis Involving Two Clusters for the Synthesis of Three Pyrrolamides in". ACS Chemical Biology. 10 (2): 601–610
Streptomyces_netropsis
Study of mathematical algorithms for optimization problems
possible realizations of the uncertainties defined by an uncertainty set. Combinatorial optimization is concerned with problems where the set of feasible solutions
Mathematical_optimization
Mathematical model of computation
functionality. A finite-state machine with only one state is called a "combinatorial FSM". It only allows actions upon transition into a state. This concept
Finite-state_machine
Academic journal
pharmaceutical chemistry, biochemistry and biophysics, molecular and cellular biology, and polymer and materials science. First published in 2004 by the American
Molecular_Pharmaceutics
Process of encoding and decoding binary data to and from synthesized strands of DNA
Norsworthy MW, Leake D, Park H (2021-04-20). "DNA-based data storage via combinatorial assembly". bioRxiv 10.1101/2021.04.20.440194. Smith GC, Fiddes CC, Hawkins
DNA_digital_data_storage
Application of synthetic biology
Synthetic biological circuits are an application of synthetic biology where biological parts inside a cell are designed to perform logical functions mimicking
Synthetic_biological_circuit
Study of networks of interacting molecules and their emergent properties
together with a systems approach inspired by systems biology and systems science. Dynamic combinatorial chemistry has been used as a method to develop ligands
Systems_chemistry
Iterative simulation method
cope with binary problems (or more generally discrete ones), or even combinatorial ones. One approach is to redefine the operators based on sets. Artificial
Particle_swarm_optimization
Subfield of genetics
and among populations, and is a part of evolutionary biology. Studies in this branch of biology examine such phenomena as adaptation, speciation, and
Population_genetics
Technique used in protein engineering
Redundancy and Screening Effort of Combinatorial Protein Libraries Created by Saturation Mutagenesis". ACS Synthetic Biology. 2 (2): 83–92. doi:10.1021/sb300037w
Saturation_mutagenesis
Critical protein in embryonic development
1098020. PMID 15205520. S2CID 13949436. Ruiz i Altaba A (June 1998). "Combinatorial Gli gene function in floor plate and neuronal inductions by Sonic hedgehog"
Sonic_hedgehog_protein
Molecule that carries genetic information
sequences isolated from a large pool of random DNA sequences through a combinatorial approach called in vitro selection or systematic evolution of ligands
DNA
Developmental history of a tissue or organ
F.; Shendure, Jay (2016-07-29). "Whole-organism lineage tracing by combinatorial and cumulative genome editing". Science. 353 (6298) aaf7907. doi:10
Cell_lineage
Statistical procedure of testing by group
In statistics and combinatorial mathematics, group testing is any procedure that breaks up the task of identifying objects into tests on groups of items
Group_testing
American academic journal
Engineering ACS Catalysis ACS Central Science ACS Chemical Biology ACS Chemical Neuroscience ACS Combinatorial Science ACS Earth and Space Chemistry ACS Energy
The Journal of Physical Chemistry Letters
The_Journal_of_Physical_Chemistry_Letters
COMBINATORIAL BIOLOGY
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