Abstract
Following our previous works on fractional biophysical issues such as fractional dynamics of protein folding process and fractional dynamics of cancer cells and their branching processes, in this work we further develop these issues and propose a new fractional biomechanics of cancer cells. In this short note we present some promising models for future studies in biomedicine, including constant and variable order fractional Maxwell and Kelvin–Voigt models to study the mechanics of cancer cells. We also emphasize that fractional calculus will play a vital and central role in the understanding of the complexities that occur when we deal with the phenomena and processes in the realm of bioscience and biomedicine and particularly in physics of cancer.
Highlights
The study of complex systems and the investigation of their structural and dynamical properties have attracted considerable interest among scientists in general and physicists and biologists in particular
From this viewpoint fractional calculus has found many applications in new research on physics of biological structures and living organisms, from DNA dynamics [31,32,33] to protein folding [34] (in this work we have presented a coupled system of fractional differential equations for the folding process of protein as follows: ( ) ( ) η(t)2(α −1) − ∂αt
The aim of this work was only presentation of some promising models for the future studies in biomedicine based on the power tool of fractional calculus
Summary
The study of complex systems and the investigation of their structural and dynamical properties have attracted considerable interest among scientists in general and physicists and biologists in particular. It is showed that the fractional model perfectly fits the test data of memory phenomena in different disciplines [30] they have found that a possible physical meaning of the fractional order is an index of memory From this viewpoint fractional calculus has found many applications in new research on physics of biological structures and living organisms, from DNA dynamics [31,32,33] to protein folding [34] In the present work we want to propose a new fractional biomechanics of cancer and further develop the new field of fractional dynamics of cancer cells
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