Related Experiment Video
Updated: May 24, 2025
06:45
In Vivo Single-Molecule Tracking at the Drosophila Presynaptic Motor Nerve Terminal
Published on: January 14, 2018
8.4K
Nonlocal models in biology and life sciences: Sources, developments, and applications.
Swadesh Pal1, Roderick Melnik2
1MS2 Discovery Interdisciplinary Research Institute, Wilfrid Laurier University, Waterloo, Canada.
Physics of Life Reviews
|March 4, 2025
Summary
Nonlocal mathematical models are crucial for understanding complex biological systems where local models fall short. This review explores their diverse applications in biology, from population dynamics to neurodegenerative diseases and nanotechnology.
Area of Science:
- Biophysics
- Mathematical Biology
- Life Sciences
Background:
- Mathematical modeling is essential for understanding biophysical mechanisms in developmental biology.
- Local models often fail to capture essential dynamics in biological systems.
- Nonlocal models address interactions occurring over a range of distances.
Purpose of the Study:
- To review different nonlocal mathematical models applied to biology and life sciences.
- To discuss the sources, developments, and applications of these models.
- To highlight emerging trends and future directions in nonlocal modeling.
Main Methods:
- Systematic discussion of pattern formation conditions in population dynamics.
- Analysis of nonlocal interactions on networks, including brain dynamics.
- Exploration of nonlocal continuum models for nanotechnology and peridynamics.
Main Results:
- Nonlocal models are vital for understanding cell-cell adhesion, disease spread, and neural networks.
- Applications include modeling neurodegenerative diseases, cancer stem cells, and avascular tumors.
- Nonlocal continuum models and peridynamics are applicable to nanoscale interactions and biomedical engineering.
Conclusions:
- Nonlocal mathematical models offer a powerful framework for complex biological phenomena.
- Their applications span diverse fields from population dynamics to advanced bioengineering.
- Continued development promises deeper insights into biological systems and novel technological solutions.
Keywords:
Active matter and AICell biology, genomics, and populations dynamicsEpidemiology and immunologyHealth sciences and innovative technologiesNetwork coupling and integrationNonequilibrium phenomena and processesNonlocal interactions in time and spaceNonlocal modelsNonlocal processes and phenomenaPattern formationsSmart and intelligent systems
Related Concept Videos
01:29Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving
38
Mechanistic models play a crucial role in algorithms for numerical problem-solving, particularly in nonlinear mixed effects modeling (NMEM). These models aim to minimize specific objective functions by evaluating various parameter estimates, leading to the development of systematic algorithms. In some cases, linearization techniques approximate the model using linear equations.
In individual population analyses, different algorithms are employed, such as Cauchy's method, which uses a...
In individual population analyses, different algorithms are employed, such as Cauchy's method, which uses a...
38
02:54Evolutionary Relationships through Genome Comparisons
5.7K
Genome comparison is one of the excellent ways to interpret the evolutionary relationships between organisms. The basic principle of genome comparison is that if two species share a common feature, it is likely encoded by the DNA sequence conserved between both species. The advent of genome sequencing technologies in the late 20th century enabled scientists to understand the concept of conservation of domains between species and helped them to deduce evolutionary relationships across diverse...
5.7K
01:23Mechanistic Models: Compartment Models in Individual and Population Analysis
23
Mechanistic models are utilized in individual analysis using single-source data, but imperfections arise due to data collection errors, preventing perfect prediction of observed data. The mathematical equation involves known values (Xi), observed concentrations (Ci), measurement errors (εi), model parameters (ϕj), and the related function (ƒi) for i number of values. Different least-squares metrics quantify differences between predicted and observed values. The ordinary least...
23
01:37Super-resolution Fluorescence Microscopy
6.8K
Super-resolution fluorescence microscopy (SRFM) provides a better resolution than conventional fluorescence microscopy by reducing the point spread function (PSF). PSF is the light intensity distribution from a point that causes it to appear blurred. Due to PSF, each fluorescing point appears bigger than its actual size, and it is the PSF interference of nearby fluorophores that causes the blurred image. Various approaches to achieving higher resolution through SRFM have recently been...
6.8K
01:23Characteristics of Life
220.9K
Biology is a natural science that studies life and living organisms, including their structure, function, development, interactions, evolution, distribution, and taxonomy. The field's scope is extensive and divided into several specialized disciplines, such as anatomy, physiology, ethology, genetics, and many more. All living things share a few key traits, including cellular organization, heritable genetic material and the ability to adapt/evolve, metabolism to regulate energy needs, the...
220.9K
01:16Calmodulin-dependent Signaling
5.1K
Calmodulin (CaM) is a calcium-binding protein in eukaryotes that controls various calcium-regulated cellular processes. It has four calcium-binding sites that bind calcium to form the calcium-calmodulin ( Ca2+-CaM) complex. GPCR stimulation increases the calcium levels in the cells that bind to CaM and induces a conformational change.
The Ca2+-CaM complex does not have enzymatic activity by itself. Instead, the complex binds downstream target proteins, including membrane proteins or enzymes,...
The Ca2+-CaM complex does not have enzymatic activity by itself. Instead, the complex binds downstream target proteins, including membrane proteins or enzymes,...
5.1K