A computer analysis method for thermal diffusion in biochemical systems

In the thermal detection of rapid biochemical reactions it is necessary to correct the temperature data for transient heat conduction losses in a cylindrical calorimeter. To handle the complexities arising from varying thermal-relaxation times of concentric insulating layers, a computer program was developed which gives the temperature distribution of the system as a function of radius and time. This distribution is corrected at each step by a subroutine which calculates the instantaneous chemical state of the reaction, as well as the heat produced by this reaction. The program is based on a direct statement of Fourier's law of heat conduction and the chemical rate equation to provide a “bookkeeping law” to follow the reactants and the flow of heat packets, in such a way that the computer continually stores the heat distribution. A computer analysis method is here regarded as one in which the physical laws of a process are used explicitly in the program. Usually this results in bypassing much of the mathematical procedures conventionally used.

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