학술논문

Modeling biological gradient formation: combining partial differential equations and Petri nets
Document Type
Original Paper
Source
Natural Computing: An International Journal. December 2016 15(4):665-675
Subject
Gradient formation
Petri net
Process validation
Quantitative modeling
Partial differential equation
Language
English
ISSN
1567-7818
1572-9796
Abstract
Both Petri nets and differential equations are important modeling tools for biological processes. In this paper we demonstrate how these two modeling techniques can be combined to describe biological gradient formation. Parameters derived from partial differential equation describing the process of gradient formation are incorporated in an abstract Petri net model. The quantitative aspects of the resulting model are validated through a case study of gradient formation in the fruit fly.