Manuscript Topics

The modeling of biological systems has recently gained much attention considering the possibility to describe the time evolution of a biological system by employing differential equations. Different frameworks have been proposed depending on the number of dynamic variables. Ordinary differential equations (ODE) are employed if time is the only dynamic variable; partial differential equations (PDE) are proposed when, in addition to the time variable, space and/or velocity variables are taken into account. In the context of differential equation models, new frameworks have been proposed where stochastic terms are added to classical deterministic terms. A specific model is proposed when the differential equations are coupled to initial and/or boundary conditions.

This special issue focuses on the new differential equation models for the physics of the biological systems and especially of complex fashion. In particular differential models based on ODE and PDE even of fractional form are welcome as well as differential models based on kinetic theory, continuum mechanics and more in general on master equations.

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