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Yes there's a research paper told that relying on anaerobic glycolysis which produces tonnes of lactate aka the lactic acid. The acidic environment will inhibit the proliferation of T-cells.(the immune response of body)

Aerobic glycolysis also is a mainly method which activated T cell generate energy. During T cell activation, T cells increase glucose uptake and glycolytic rate, by upregulating glycolytic enzymes, which generate more lactic acid to secrete into microenvironment. Lower pH and higher lactic acid concentration caused by tumor cells inhibit lactic acid secretion from T cell, and cause T cell be asphyxiated, then reduce proliferation and cytokine production by 95%

Could that show up on a blood test?