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Development of an Individual-Tree Basal Area Increment Model using a Linear Mixed-Effects Approach

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Published on: July 3, 2020

Mathematical modelling in developmental biology.

Olga Vasieva¹, Manan'Iarivo Rasolonjanahary, Bakhtier Vasiev

¹Institute of Integrative Biology, University of Liverpool, Liverpool, L69 7ZL, UK.

Reproduction (Cambridge, England)

|March 28, 2013

Summary

Mathematical modeling is crucial for analyzing complex biological data. This review highlights its application in developmental biology, focusing on morphogenesis, cell movement, and developmental cycles.

Area of Science:

Developmental Biology
Computational Biology
Mathematical Biology

Background:

The explosion of data in molecular and cellular biology necessitates advanced analytical tools.
Mathematical modeling offers a systematic approach to understanding complex biological processes.
Developmental biology particularly benefits from integrating mathematical techniques.

Purpose of the Study:

To review the achievements of mathematics in developmental biology.
To demonstrate mathematical formulations for key developmental principles like morphogenesis.
To showcase successful mathematical modeling applications in developmental biology.

Main Methods:

Mathematical formalism for analyzing morphogen gradient formation and scaling.

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Modeling the interplay between morphogen dynamics and cell movement (e.g., chick embryo gastrulation).

Overview of mathematical models for the Dictyostelium discoideum developmental cycle.

Main Results:

Established mathematical frameworks for understanding morphogen gradients.
Illustrated the role of mathematical models in studying cell dynamics during development.
Highlighted Dictyostelium discoideum as a prime example of successful mathematical modeling in biology.

Conclusions:

Mathematical modeling is indispensable for modern developmental biology research.
Quantitative approaches provide deep insights into morphogenesis and cellular processes.
The integration of mathematics significantly advances our understanding of biological development.