Candidate Points

Candidate points are values in a function’s domain that may contain a maximum or minimum, making them central to mathematical optimization. For a differentiable function, they typically include interior points where the derivative is zero, while points where the derivative is undefined and domain endpoints must also be considered; evaluating the function at these locations allows direct comparison of outcomes. This procedure supports the First Derivative and Extreme Value Theorems and helps distinguish local from absolute extrema. Candidate-point analysis is used in calculus, constraint-based optimization, and applied mathematics to identify optimal values efficiently and justify conclusions about a function’s behavior.

Candidate Points - Related Videos

Research

JoVE Journal - Biochemistry

Defining Substrate Specificities for Lipase and Phospholipase Candidates

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Cited by 10 •

2016

Many predicted (phospho)lipases are poorly characterized with regard to their substrate specificities and physiological functions. Here we provide a protocol to optimize enzyme activities, search for natural substrates, and propose physiological functions for these enzymes.

Research

JoVE Journal - Developmental Biology
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Application of Impermeable Barriers Combined with Candidate Factor Soaked Beads to Study Inductive Signals in the Chick

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2016

Protocols using impermeable barriers to block induction events between tissues of the main body axis and flank in the chick embryo required for limb formation are described. Beads soaked in candidate inductive signals are used to overcome the effect of barrier placement and analysis of gene expression confirms this.

Research

JoVE Journal - Medicine
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Orthotopic Xenografting of Human Luciferase-Tagged Malignant Peripheral Nerve Sheath Tumor Cells for in vivo Testing of Candidate Therapeutic Agents

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Cited by 17 •

2011

A method for reliably grafting luciferase-tagged human malignant peripheral nerve sheath tumor cells into the sciatic nerve of immunodeficient mice is described. The use of bioluminescence imaging to demonstrate proper establishment of tumor grafts and criteria for random segregation of animals into study groups are also discussed.

Identification of Potential Anti-TB Candidates: A Step-by-Step Guide to Synthesis, MIC Determination, and Cytotoxicity Assessment in Mammalian Cells

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2026

Here, we present a protocol to identify potential anti-tuberculosis drug candidates through phenotypic screening, encompassing the chemical synthesis of a 4-aminoquinoline compound, determination of its minimum inhibitory concentration against Mycobacterium tuberculosis, and assessment of its cytotoxicity in mammalian cell lines.

Candidate Gene Testing in Clinical Cohort Studies with Multiplexed Genotyping and Mass Spectrometry

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Cited by 2 •

2018

Identification of genetic variants contributing to complex human disease allows us to identify novel mechanisms. Here, we demonstrate a multiplex genotyping approach to candidate genes or gene pathway analysis that maximizes the coverage at low cost and is amenable to cohort-based studies.

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