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Heat Transfer of Cell-Fluid Layer in a Biodish
Ching-Yen Ho, Mao-Yu Wen and Bor-Chyuan Chen

The heat transfer in the cell-fluid layer is investigated during the proliferation of MC3T3-E1 osteoblasts. These osteoblasts are cultured in a circular biodish heated from below. It is assumed that the effective density of the cell-fluid layer is directly proportional to the instantaneous cell population under the condition of limited space for cell growth. Considering the coefficient of convective heat transfer to be a function of the temperature of the cell-fluid layer, the asymptotic solution of this nonlinear problem is derived and agrees with the numerical solution. The effects of various system parameters on the thermal response of the cell-fluid layer are also discussed.

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