  Mitochondria of brown adipocyte (BA) are the main intracellular sites for
thermogenesis, which have been targeted for therapy to reduce obesity. However,
there are long-standing critique and debates about the ability of raising
cellular temperature by endogenous thermogenesis. Currently, the wrong
theoretical model gave about the five orders of magnitude less than facts.
Here, based on the first law of thermodynamics and thermal diffusion equation,
the deduced theoretical model of mitochondrial thermogenesis satisfies Laplace
equation, and is a special case for thermal diffusion equation. The model
settles the long-standing questioning about the ability of raising cellular
temperature by endogenous thermogenesis, and explains the thermogenic
characteristics of brown adipocyte. The model and calculations also suggest
that the number of free available proton is the major limiting factor for
endogenous thermogenesis and its speed.
