Abstract
We have investigated methods of constructing free energy landscape of a few biological systems. For simple enzyme kinetics reaction, using a method developed by Ao and coworkers, we have constructed the energy landscape around the stable fixed point. However the landscape resembles that of a saddle point. The discrepancy may come from the slow convergent property of the series used. We also tried solving the master equation for equilibrium statistical distribution, and based on this distribution we can construct the energy landscape which looks qualitatively correct. Following the latter procedure and based on stochastic dynamics we can construct energy landscape of a minimal model for immune response which shows bistability. Finally, a similar procedure is applied to construct the energy landscape for a minimal model of p53 oscillating loops which exhibits limit cycle behavior.
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