Does every Scientific Theory need to have a Mathematical Formula ?
It isn’t that there is a need for the evidence that supports the theories to be expressible as laws, principles or rules. It is just that observable facts can be expressed concisely with mathematics. Observable phenomena that appear regularly in related ratios or proportions are much easier to work with once the formula has been expressed. In biology there are the allometric rules for body scaling in respect to body mass like Kleiber’s law of Metabolic Efficiency. In relating the underlying physical law the complex biological systems usually must be simplified to aspects like the physics of fluid flow in Poiseuille’s law.