Final answer:
T cells and B cells are the cells responsible for cellular immune responses and involved in the regulation of antibody reactions. T cells are responsible for cell-mediated immunity, while B cells are responsible for humoral immunity.
Step-by-step explanation:
The cells responsible for cellular immune responses and involved in the regulation of antibody reactions are T cells and B cells. T cells, which mature in the thymus gland, play a central role in both innate and adaptive immune responses. They are responsible for the destruction of cells infected with intracellular pathogens, known as cell-mediated immunity. B cells, on the other hand, mature in the bone marrow and produce antibodies, also known as immunoglobulins, that are involved in the body's defense against pathogens and toxins in the extracellular environment, known as humoral immunity.