A review of recent developments in mathematical modeling of bone remodeling

A Della Corte, I Giorgio… - Proceedings of the …, 2020 - journals.sagepub.com
In this article, we summarize the developments in the mathematical modeling of the
mechanics of bone and related biological phenomena. We will devote special attention to …

A review of the current status and future prospects of the bone remodeling process: biological and mathematical perspectives

M Bahrami, H Khonakdar, A Moghaddam… - Progress in Biophysics …, 2024 - Elsevier
This review dives into the complex dynamics of bone remodeling, combining biological
insights with mathematical perspectives to better understand this fundamental aspect of …

A coupled mathematical model between bone remodeling and tumors: a study of different scenarios using Komarova's model

S Ramtani, JF Sánchez, A Boucetta, R Kraft… - … and Modeling in …, 2023 - Springer
This paper aims to construct a general framework of coupling tumor–bone remodeling
processes in order to produce plausible outcomes of the effects of tumors on the number of …

A unified framework of cell population dynamics and mechanical stimulus using a discrete approach in bone remodelling

D Quexada, S Ramtani, O Trabelsi… - Computer Methods in …, 2023 - Taylor & Francis
Multiphysics models have become a key tool in understanding the way different
phenomenon are related in bone remodeling and various approaches have been proposed …

An approach to the mechanics of pantographic structures through swarm dynamics

P D'Avanzo, AC Rapisarda… - … and Mechanics of …, 2024 - journals.sagepub.com
This work concerns mechanical systems known as “pantographic structures”, which are
considered a family of beams connected by pivots. We propose a computationally efficient …

From the swarm robotics to material deformations

P D'Avanzo, AC Rapisarda, SS Sirletti - Mathematical Applications in …, 2021 - Springer
In this chapter a discrete 2D kinematic system model is presented. Its aim is to reproduce the
behavior of several 2D continuum systems. We started from studies on swarm robotics; in …

Distance estimations in unknown sea underwater conditions by power LED for robotics swarms

R dell'Erba - Continuum Mechanics and Thermodynamics, 2021 - Springer
The aim of this paper is to measure distances between autonomous underwater vehicles
using power LED as light source and photodiode as receiver in unknown light water …

Fracture phenomena in Swarms

P D'Avanzo, AC Rapisarda, SS Sirletti - Advanced Materials Modelling for …, 2022 - Springer
In this paper, we describe qualitatively material deformations and fracture phenomena using
a discrete 2D kinematic model. This model is based on the swarm intelligence approach …

Bone mechanics and cell populations: mathematical description and parametric study of the model

AC Rapisarda, M Almasi, N Almasi, E Barchiesi… - … and Novel Approaches …, 2020 - Springer
In this paper we study a recently proposed mathematical model for the description of the
mechanics of bone as well as bone remodeling processes and bone cell populations …

A Mathematical Model for Bone Cell Population Dynamics of Fracture Healing Considering the Effect of Energy Dissipation

M Darvishi, H Dadras, M Mahmoodi Gahrouei… - … in Continuum and …, 2021 - Springer
The importance of mechanical modeling has been increasing in recent years for almost
every area of biological sciences. The process of bone recovery is one of the issues to be …