the simplex method

(noun)

An algorithm that optimizes a system of linear inequalities.

Related Terms

Examples of the simplex method in the following topics:

  • Application of Systems of Inequalities: Linear Programming

    • The most common method in linear programming is the Simplex Method, or the Simplex Algorithm.
    • To use the Simplex Method, we need to represent the problem using linear equations.
    • In the second step, Phase II, the Simplex Algorithm is applied using the solution found in Phase I as a starting point.
    • Now, the Simplex Method proceeds by performing successive pivot operations which each improve the basic feasible solution; the choice of pivot element at each step is largely determined by the requirement that this pivot improves the solution.
    • Use the Simplex Method to solve applications of systems of linear inequalities

  • Infection

    • Infections of the integumentary system include athlete's foot and herpes simplex.
    • Herpes simplex is most easily transmitted by direct contact with a lesion or the body fluid of an infected individual.
    • Barrier protection methods are the most reliable method of preventing transmission of herpes, but they merely reduce rather than eliminate risk.
    • Condom use reduces the transmission risk of herpes simplex significantly.
    • Differentiate between the integumentary system infections of athlete's foot and herpes simplex

  • Introduction to kinds of graphs

    • The social relations being described here are also simplex (in figures 3.2 and 3.3).
    • Figure 3.4 is an example of one method of representing multiplex relational data with a single graph.

  • Double-Stranded DNA Viruses: Herpesviruses

    • In this fashion, the virus can persist in the cell (and thus the host) indefinitely.
    • There is no method to eradicate the herpes virus from the body, but antiviral medications, such as acyclovir, can reduce the frequency, duration, and severity of outbreaks.
    • Various viruses from the Herpesviridae family seen using an electron micrograph Amongst these members is varicella-zoster (Chickenpox), and herpes simplex type 1 and 2 (HSV-1, HSV-2).
    • This negatively-stained transmission electron micrograph (TEM) revealed the presence of numerous herpes simplex virions, members of the Herpesviridae family.
    • There are two strains of the herpes simplex virus, HSV-1, which is responsible for cold sores, and HSV-2, which is responsible for genital herpes.

  • Attachment and Entry of Herpes Simplex

    • Herpes simplex virus attaches to a host's cells with viral envelope glycoproteins, which then allows entry of the viral capsid into the host cell.
    • Herpes simplex viruses 1 and 2 (HSV-1 and HSV-2) are two members of the herpes virus family, Herpesviridae, that infect humans.
    • The receptor provides a strong, fixed attachment to the host cell.
    • Herpes simplex virus attaches to host cell surface receptors using glycoproteins.
    • Following attachment, the viral envelope fuses with the host cell membrane and the viral capsid gains entry into the cell.

  • Viral Skin Diseases

    • Herpes simplex is a viral disease from the herpesviridae family caused by both Herpes simplex virus type 1 (HSV-1) and type 2 (HSV-2).
    • Herpes simplex is most easily transmitted by direct contact with a lesion or the body fluid of an infected individual.
    • Barrier protection methods are the most reliable method of preventing transmission of herpes, but they merely reduce rather than eliminate risk.
    • Once infected, the virus remains in the body for life.
    • The pain and rash most commonly occurs on the torso, but can appear on the face, eyes, or other parts of the body.

  • Replication of Herpes Simplex Virus

    • The viral genome immediately travels to the nucleus but the VHS protein remains in the cytoplasm.
    • The late proteins form the capsid and the receptors on the surface of the virus.
    • Packaging of the viral particles — including the genome, core and the capsid - occurs in the nucleus of the cell.
    • Entry of HSV into the host cell involves interactions of several glycoproteins on the surface of the enveloped virus, with receptors on the surface of the host cell.
    • Structure of the conserved core of the herpes simplex virus transcriptional regulatory protein VP16.

  • Simplex or multiplex relations in the graph

    • In our simple example, we showed two graphs of simple (sometimes referred to as "simplex" to differentiate from "multiplex") relations.
    • The friendship graph (figure 3.2) showed a single relation (that happened to be binary and directed).
    • The spouse graph (figure 3.3) showed a single relation (that happened to be binary and un-directed).
    • ).We also combined the information about multiple ties into a single line.
    • Alternatively, one might use different symbols, colors, line widths, or other devices to keep all of the information about multiple relations visible in a multiplex graph -- but the result can often be too complicated to be useful.

  • Animal Viruses

    • When a protein in the viral capsid binds to its receptor on the host cell, the virus may be taken inside the cell via a vesicle during the normal cell process of receptor-mediated endocytosis.
    • An alternative method of cell penetration used by non-enveloped viruses is for capsid proteins to undergo shape changes after binding to the receptor, creating channels in the host cell membrane.
    • Other viruses cause long-term chronic infections, such as the virus causing hepatitis C, whereas others, like herpes simplex virus, cause only intermittent symptoms.
    • As mentioned, herpes simplex virus can remain in a state of latency in nervous tissue for months, even years.
    • Under certain conditions, including various types of physical and psychological stress, the latent herpes simplex virus may be reactivated and undergo a lytic replication cycle in the skin, causing the lesions associated with the disease.

  • Other Infectious Eye Diseases

    • Fungi and viruses such as herpes simplex can cause eye infections.
    • Herpetic simplex keratitis is a form of keratitis caused by recurrent herpes simplex virus in cornea.
    • Herpes simplex virus (HSV) infection is very common in humans.
    • The following classification of herpes simplex keratitis is important for understanding this disease:
    • Summarize the various types of herpes simplex keratitis: dendritic ulcer (epithelial keratitis) and disciform keratitis (stromal keratitis)