Abstract

Calcium is the functionally most important messenger for signaling transduction in the brain. The cellular metabolism is activated and tracked by diffusion of calcium, buffering system, and cytoplasmic influxes. The excess energy after cellular metabolism gets converted to heat that raises the temperature of the cellular microenvironment. Many studies also show that treatment of cancer cells also raises the temperature of the microenvironment of neuronal cells. This increased temperature in cellular metabolism alters the calcium concentration profile in neuronal cells. This paper aims to study calcium profiling due to temperature variation in neurons due to treatment of cancer. Also, the dependency of calcium concentration based on the temperature of the cellular environment is studied. In this paper, a 1-dimensional unsteady state case along with initial and extreme values have been taken to recognize the spread of calcium in neurons. The process includes dissemination of Calcium, source, and excess buffer approximation [EBA]. The analytical solution has been developed to understand the relation between Calcium concentration and variable diffusion coefficient due to a therapeutic rise in temperature.

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