Differential equations frameworks and models for the physics of biological systems

Carlo Bianca; Carlo Bianca

doi:10.3934/biophy.2024013

AIMS Biophysics

2024, Volume 11, Issue 2: 234-238. doi: 10.3934/biophy.2024013

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Editorial Special Issues

Differential equations frameworks and models for the physics of biological systems

Carlo Bianca ^,

EFREI Research Lab, Université Paris-Panthéon-Assas, 30/32 Avenue de la République, 94800 Villejuif, France

Received: 15 June 2024 Revised: 21 June 2024 Accepted: 21 June 2024 Published: 26 June 2024

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 considered. 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 editorial article deals with the topic of this special issue, which is devoted to the new developments in the multiscale modeling of complex biological systems with special attention to the interplay between different scholars.
- complexity,
- biomathematics,
- biomechanics,
- agent-agent models,
- multiscale approaches
Citation: Carlo Bianca. Differential equations frameworks and models for the physics of biological systems[J]. AIMS Biophysics, 2024, 11(2): 234-238. doi: 10.3934/biophy.2024013

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Abstract

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 considered. 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 editorial article deals with the topic of this special issue, which is devoted to the new developments in the multiscale modeling of complex biological systems with special attention to the interplay between different scholars.

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