Domain Restriction

Domain restriction is the process of limiting the set of input values allowed for a mathematical function, relation, or expression. The restriction may arise from undefined operations, such as division by zero or taking the even root of a negative number, or from a problem’s specified conditions; the resulting domain identifies which inputs produce valid outputs. In mathematics, domain restriction helps preserve the meaning of formulas, distinguish functions that share an algebraic rule, and analyze inverse functions by selecting intervals where a function is one-to-one. It is also important when modeling real-world systems, where only certain input values are physically or logically meaningful.

Domain Restriction - Related Videos

Education

JoVE Science Education - Basic Biology

Restriction Enzyme Digests

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2023

Restriction enzymes or endonucleases recognize and cut DNA at a specific sequence. These enzymes occur naturally in bacteria as a defense against bacteriophages - viruses that infect bacteria. Bacterial restriction enzymes cut the invading bacteriophage DNA while leaving the bacterial genomic DNA unharmed due to addition of methyl groups. This video explains the basic principles of restriction enzymes including: how restriction enzymes are named and the types of recognition sites and...

Conservation of Protein Domains Over Different Proteins

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2020

Protein domains are small structurally independent units that are part of a single amino acid chain. Although these domains are often structurally independent, they may rely on synergistic effects to perform their functions as part of a larger protein. Protein domains may be conserved within the same organism, as well as across different organisms. A limited set of protein domains often duplicate and recombine during evolution. These domains can be organized in different combinations to form...

Education

JoVE Lab Manual - Biology
Free Sample

DNA Isolation and Restriction Enzyme Analysis - Student Protocol

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2019

DNA Isolation ExpandNOTE: In this experiment you will perform DNA isolation under two experimental conditions: one using a buffer containing the detergent SDS and one without detergent. Hypotheses: The alternate hypothesis for this experiment might be that the sample prepared without SDS, a strong anionic detergent that breaks apart cell membranes, will yield less DNA than the sample prepared with SDS. The null hypothesis for this experiment might be that both samples will yield an equal amount...

Education

JoVE Lab Manual - Biology
Free Sample

DNA Isolation and Restriction Enzyme Analysis - Concepts

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2019

The revelation of DNA as the hereditary molecule in all organisms has led to enormous scientific and medical breakthroughs and significantly enhanced our understanding of ourselves and other organisms. DNA isolation and profiling have been the fundamental first steps for many of the advancements in the past century; from identification of gene function, to revolutions of agriculture and forensics. Isolating DNA from Cells DNA isolation is a fairly simple procedure that requires few but...

Research

JoVE Journal - Biology

Transmembrane Domain Oligomerization Propensity determined by ToxR Assay

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Cited by 7 •

2011

An efficient procedure to assess the oligomerization propensity of single-pass transmembrane domains (TMDs) is described. Chimeric proteins consisting of the TMD fused to ToxR are expressed in an E. coli reporter strain. TMD-induced oligomerization causes dimerization of ToxR, activation of transcription and production of the reporter protein, -galactosidase.

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