Objective: Lack of ideal mathematical models to qualify and quantify both pathogenicity, and virulence is a dreadful setback in development of new antimicrobials and vaccines against resistance pathogenic microorganisms. Hence, the modified arithmetical formula of Reed and Muench has been integrated with other formulas and used for determination of antigen concentration and parasites inoculums that would kill 50% of test animals (LC50).
Results: Microorganisms’ antigens tested are Staphylococcus aureus, Streptococcus pneumonia, Pseudomonas aeruginosa in mice and rat, Edwardsiella ictaluri, Aeromonas hydrophila, Aeromonas veronii in fish, New Castle Disease virus in chicken, Sheep Pox Virus, Foot-and-Mouth Disease Virus and Hepatitis A virus in vitro, respectively. The LC50s for the pathogens using different routes of administrations are 1.93 x 103 (sheep poxvirus) and 1.75 x 1010 for Staphylococcus aureus (ATCC29213) in rat respectively. N is the number of vaccine dose that could neutralize the LC50.Titre index (TI) equals N log10 LC50 and provides protection against lethal dose in graded fashion which translates to protection index. Hence, parasite inoculum of 103 to 1011 could be used as basis for median lethal dose (LD50), LC50 and median bacterial concentrations (BC50) determination, pathogenic dose for immune stimulation should be sought at concentrations less than LC10.