Review the key concepts, formulae, and examples before starting your quiz.
🔑Concepts
Antigens are molecules, typically proteins or glycoproteins, located on the surface of pathogens that are recognized as 'non-self' by the immune system, triggering an immune response.
Antibodies, also known as immunoglobulins (), are -shaped globular proteins produced by plasma cells (derived from -lymphocytes).
The basic structure of an antibody consists of four polypeptide chains: two identical heavy () chains and two identical light () chains, represented by the formula .
Antibodies possess a 'variable region' with a specific tertiary structure complementary to a specific antigen, forming an antigen-antibody complex.
Active Immunity is acquired when the body produces its own antibodies and memory cells ( and ) following exposure to a pathogen or a vaccine.
Passive Immunity is the short-term immunity resulting from the introduction of antibodies from another source, such as passing through the placenta or in breast milk.
The Secondary Immune Response is characterized by a shorter lag phase, a faster rate of antibody production, and a significantly higher peak concentration () compared to the primary response.
Vaccination involves the deliberate exposure to harmless antigenic material (e.g., attenuated pathogens or sequences) to stimulate the production of memory cells without causing disease.
Herd Immunity occurs when a large enough proportion of the population () is immune, reducing the probability of transmission to non-immune individuals.
📐Formulae
💡Examples
Problem 1:
During a secondary immune response, the concentration of antibodies in the blood increases much more rapidly than in the primary response. If the primary response reaches a peak concentration of units/mL in days, and the secondary response reaches units/mL in days, calculate the factor of increase in peak antibody concentration.
Solution:
The factor of increase is calculated by dividing the secondary peak by the primary peak: .
Explanation:
The presence of cells allows the body to bypass the initial clonal selection phase, leading to immediate clonal expansion into plasma cells, resulting in a -fold increase in antibody production.
Problem 2:
A specific pathogen has a basic reproduction number . Calculate the critical vaccination threshold () required to achieve herd immunity within the population.
Solution:
Using the formula :
Explanation:
To stop the spread of the disease, at least (or ) of the population must be immune through vaccination or prior infection.
Problem 3:
Describe the chemical interactions that allow an antibody to bind to an antigen.
Solution:
The binding occurs at the variable region via non-covalent interactions such as hydrogen bonds, ionic bonds, and hydrophobic interactions.
Explanation:
Because the variable region is specific to the shape of the antigen, the sum of these weak forces allows for a high-affinity -antigen complex.