Advances in Biological Systems with Mathematics

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "E3: Mathematical Biology".

Deadline for manuscript submissions: 31 July 2025 | Viewed by 551

Special Issue Editors


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Guest Editor
Aragon Institute for Engineering Research, University of Zaragoza, 50018 Zaragoza, Spain
Interests: bioengineering and biomechanics (focused on the cardiovascular and musculoskeletal systems); computational mechanics: finite element method and fluid dynamics; experimental methods to validate computational models; advanced numerical methods for modeling biological tissue (non-linear solid mechanics); multi-scale simulation of inelastic effects in biological tissue (viscoelasticity, damage, growth and remodeling); machine learning: artificial neural networks and support vector machines

E-Mail Website
Guest Editor
Mechanical Engineering Department, University Defence Center of Zaragoza, 50018 Zaragoza, Spain
Interests: cell mechanics; computational simulations; biomedical image analysis; machine learning

Special Issue Information

Dear Colleagues,

We are pleased to invite you to contribute to this Special Issue on “Recent Advances in Biological Systems with Mathematics” with an original research article focused on theoretical or data-driven contributions for solving real problems in challenging research areas, such as biomechanics or bioengineering. This Special Issue is dedicated to exploring the realm of numerical modeling in the complex domain of biomechanical and biomedical engineering. The topics to be covered include, but are not confined to, cardiovascular mechanics, musculoskeletal mechanics, the application of innovative numerical algorithms in biomedical engineering, advancements in constitutive modeling within biomechanics, diffusion models in tissue engineering, and cell mechanics.

Advancements in computational technology have paved the way for the integration of sophisticated numerical models and high-performance simulations across various engineering domains. One field that stands out is biomedical engineering, often considered a pivotal bridge between engineering and medicine. It combines expertise from both realms to address issues directly related to human health. Additionally, the scope of biomedical engineering extends to the study of natural processes and their impact on animals. Within this expansive field, there are specific applications that warrant attention. These applications include enhancing our understanding of human pathologies and diseases, advancing healthcare practices, improving diagnostic methods, refining therapeutic approaches, and enhancing overall clinical outcomes, among other crucial aspects. Notably, biomedical engineering also holds the potential to reduce the reliance on animal testing and contribute to enhancing the welfare of animals used in research.

Dr. Myriam Cilla Hernandez
Dr. Carlos Borau Zamora
Guest Editors

Manuscript Submission Information

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Keywords

  • computational biomechanics
  • cell mechanics
  • numerical modeling of medical devices
  • patient-specific-based numerical models
  • finite element method
  • diffusion models in the tissue engineering
  • constitutive models
  • numerical methods in the biomedical engineering
  • numerical algorithms and imaging techniques
  • machine learning techniques

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Published Papers (1 paper)

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Research

23 pages, 3708 KiB  
Article
Differential Mechanical and Biological Contributions to Bone Mass Distribution—Insights from a Computational Model of the Human Femur
by Feliciano Franco, Carlos Borau, José Di Paolo and Marcelo Berli
Mathematics 2025, 13(13), 2156; https://doi.org/10.3390/math13132156 - 30 Jun 2025
Abstract
Bone density distribution in the human femur is significantly influenced by mechanical forces that drive bone remodeling in response to physical demands. This study aims to assess how effectively mechanical factors alone explain femoral bone mass distribution and to identify areas where additional, [...] Read more.
Bone density distribution in the human femur is significantly influenced by mechanical forces that drive bone remodeling in response to physical demands. This study aims to assess how effectively mechanical factors alone explain femoral bone mass distribution and to identify areas where additional, non-mechanical influences may be required. We used a computational bone remodeling model to compare outcomes under two initial conditions: a uniform density distribution and one derived from tomographic imaging. Both conditions experienced identical mechanical loading, with the remodeling process simulated via finite element methods. Results demonstrated that mechanical loading substantially contributes to shaping bone density, but certain structural aspects, notably incomplete cortical bone formation in simulations starting from uniform density, suggest the involvement of other factors. The model also highlighted specific regions susceptible to bone loss under disuse scenarios, such as prolonged inactivity or microgravity. Our findings emphasize the need to incorporate non-mechanical factors and realistic initial conditions into computational models to enhance their applicability for personalized medical analyses. Full article
(This article belongs to the Special Issue Advances in Biological Systems with Mathematics)
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