A biophysical model is a simplified and/or abstract representation of biological processes or systems. For the purpose of increasing knowledge on biophysical modeling, the present Thesis focuses primarily on the models we developed with the aim of contributing to biological studies. Ion channels are transport proteins that are invariably present in the plasma membrane of all living organisms and the first biophysical model is an artificial plasma membrane, in which it is possible to induce memory control of the voltage-gated ion channels. In the second model, the molecular structure of proteins is simulated by using a crumpled surface having transverse attractive interactions. In the third model, an electrical pattern formation process occurring in a neuronal network with local lateral connectivity has been simulated, which appears to replicate those obtained in different cortical areas of the brain. The effect of heterogeneity on spiral wave dynamics in simulated cardiac tissue was made in the fourth model. Spiral waves of electrical activity are related to reentrant cardiac arrhythmias as ventricular tachycardia and ventricular fibrillation, the latter being the leading cause of sudden cardiac death. In the fifth model, Monte Carlo simulations were made, permitting the analysis of sequences of random numbers in therapeutic and diagnostic methods, as well as studies simulating the functioning of biological systems, sincethere are countless studies in the area of biomedicine that cannot be reproduced accurately, even in supposedly identical conditions. Osteoporosis is a worldwide public health problem, which is characterized by low bone mineral density and, in the sixth model, using computer graphics, the bone mineral density of the human body is estimated with the use of an interpolant mathematical function. It may be concluded that the present Thesis makes pioneering contributions to biological studies