Blood circulation is a vital function for all living things found in the animal kingdom. If this circulatory system ceases its function then the animal in question will die. Biologists can distinguish two distinctive circulatory paths called artery and vein. Clean oxygenated blood from the pulmonary circuit always passes thru the heart, while dirty blood always passes thru the pulmonary circuit to be oxygenated. Consequently, clean blood appears red, while dirty blood appears blue. Both circulatory paths pass thru the heart. The blood in the arterial network always flows away from the heart while the blood in the venous network always flows into the heart. One distinct type of blood circulation exists for fishes, one for amphibians, and one for mammals.
Since each type of these three blood circulations is a closed loop, there is only one direction of flow for all of them. Since the heart of fishes has two chambers (1 atrium and 1 ventricle), it sustains a single circuit of blood flow. The heart of amphibians has three chambers: two atria and one ventricle, it sustains mixed double circulation. The heart of mammals has four chambers and it sustains separated double circulation of two independent flow loops. These three distinctive circulations imply three distinctive topologies. However, only the blood circulation of mammals can be modeled by a Möbius topology. These three distinct circulatory topologies again present missing links among fishes, amphibians or reptiles, and mammals. They suggest that no evolutionary topological connections can be found between any two of them unless an external mechanism of a higher dimension intervenes (using surgical genetic cuts and splices) to alter the existing topologies.


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