Search
Search Results
-
Combined Numerical/Experimental Analysis for Intracranial Aneurysms in a Computational Hemodynamics Patient-Specific Framework
During the past decades, computational fluid mechanics has been pointed as a preferred tool to improve the understanding of vascular diseases. In...
-
Mathematical Biology: Looking Back and Going Forward
Mathematical biology has grown over the past 50 years from a niche subject, pursued by a small number of visionary pioneers, to a core sub-discipline...
-
Mathematical Modeling of the Steady-State Behavior of Nitric Oxide in Brain
Nitric oxide (NO) is a small diffusible molecule that plays an important role in brain’s signalling processes and regulation of cerebral blood flow...
-
A fluid flow model in the lacunar-canalicular system under the pressure gradient and electrical field driven loads
The lacunar-canalicular system (LCS) is acknowledged to directly participate in bone tissue remodeling. The fluid flow in the LCS is synergic driven...
-
Modelling Keloids Dynamics: A Brief Review and New Mathematical Perspectives
Keloids are fibroproliferative disorders described by excessive growth of fibrotic tissue, which also invades adjacent areas (beyond the original...
-
Sensing the environment
One important requirement of sensory eukaryotic cells and single-cell organisms such as bacteria is detecting weak signals in noisy extracellular...
-
The Candy Wrapper Problem: A Temporal Multiscale Approach for PDE/PDE Systems
We discuss the application of a multiscale scheme to a medical flow problem, the so called Candy Wrapper problem. This problem describes the...
-
Modelling of Biomaterials as an Application of the Theory of Mixtures
An overview of the mixture theory is provided while building upon similarities with the classical single continuum theory. The mixture theory can be...
-
Dynamics and regulation of the cytoskeleton
Another system where the principles of self-organization are widely applied is the cytoskeleton [427, 442, 627, 662, 787, 967]. As described in Chap....
-
Modelling HIF-PHD Dynamics and Related Downstream Pathways
Hypoxia can represent a challenging condition for survival at different biological scales, from cells to organisms. The efficiency of the response to...
-
Two-phase model of compressive stress induced on a surrounding hyperelastic medium by an expanding tumour
In vitro experiments in which tumour cells are seeded in a gelatinous medium, or hydrogel, show how mechanical interactions between tumour cells and...
-
Effects of Elasticity on Cell Proliferation in a Tissue-Engineering Scaffold Pore
Scaffolds engineered for in vitro tissue engineering consist of multiple pores where cells can migrate along with nutrient-rich culture medium. The...
-
An analytical poroelastic model for laboratorial mechanical testing of the articular cartilage (AC)
The articular cartilage (AC) can be seen as a biphasic poroelastic material. The cartilage deformation under compression mainly leads to an...
-
Global existence of classical solutions to a chemotaxis-haptotaxis model
This paper deals with a chemotaxis-haptotaxis model of cancer invasion of tissue. The model consists of three parabolic chemotaxis-haptotaxis PDEs...
-
Introduction
Mathematics is playing an ever more important role in the biomedical sciences and has been the catalyst for a blurring of boundaries between...
-
Physics of unsteady Couette flow in an anisotropic porous medium
Unsteady Couette flow between two parallel plates filled with anisotropic porous material is investigated. The flow is driven by the combined...
-
Models of Tumor Growth
In 2016 the World Health Organization provided the most recent classification of tumors of the central nervous system based on histology, molecular...
-
Modeling Progressive Damage Accumulation in Bone Remodeling Explains the Thermodynamic Basis of Bone Resorption by Overloading
Computational modeling of skeletal tissue seeks to predict the structural adaptation of bone in response to mechanical loading. The theory of...
-
Two-dimensional Finite Element Model of Breast Cancer Cell Motion Through a Microfluidic Channel
A two-dimensional model for red blood cell motion is adapted to consider the dynamics of breast cancer cells in a microfluidic channel. Adjusting...
-
Mathematical Modeling of Ischemia–Reperfusion Injury and Postconditioning Therapy
Reperfusion (restoration of blood flow) after a period of ischemia (interruption of blood flow) can paradoxically place tissues at risk of further...
