Final answer:
The process by which cells maximize their contact and cease to divide upon touching one another is known as contact inhibition, a regulatory mechanism for cell growth and proliferation.
Step-by-step explanation:
The process described in the question refers to the biological interaction where cells maximize their contact with one another. In immunology, the process where antibodies attach to antigens leading to cell aggregation is known as immune complex formation or agglutination. However, the question seems to be asking about a process related to cell growth and division. Considering the provided references, this is closest to the concept of contact inhibition, a phenomenon observed in normal cells where they cease to divide when they come into full contact with neighboring cells. This is a mechanism that regulates cell growth and proliferation to prevent overcrowding and maintain tissue architecture.
Furthermore, leukocytes, or white blood cells, have a special process called diapedesis or extravasation through which they move out of blood vessels to reach sites of infection or injury. This is different from the contact maximization of cells as described initially. Giving context to the question, it seems that contact inhibition is more aligned with the process of cells maximizing contact to the point where they no longer divide. This is an important aspect of maintaining healthy tissue.