Special Issue "Trends in Modeling and Simulation of Biological Systems"

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Computational and Applied Mathematics".

Deadline for manuscript submissions: closed (28 February 2021).

Special Issue Editor

Prof. Dr. R. Lahoz-Beltra
E-Mail Website
Guest Editor
Department of Biodiversity, Ecology and Evolution (Biomathematics), Faculty of Biological Sciences, c/ Jose Antonio Novais 2, Complutense University of Madrid, 28040 Madrid, Spain
Interests: modeling and simulation; bioinspired algorithms; biomathematics; statistical analysis of data

Special Issue Information

Dear Colleagues,

The modeling and simulation of biological systems is mostly based on traditional techniques, such as the use of differential equations and linear algebra, among others. Applying such mathematical approaches, it has become possible to describe in mathematical language biological phenomena such as morphogenesis, evolution, self-organization, learning, etc. Moreover, with these techniques, it is also possible to depict a biological phenomenon at the different levels of observation (molecular, cellular, individual, population, ecosystem, etc.). Nevertheless, for years now, alternative methods of modeling and simulation have been applied, obtaining interesting results that complement those obtained by traditional methods. For example, diseases such as cancer or the coexistence of predators and preys according to the Volterra–Lotka model can be modeled with differential equations or alternatively using the cellular automata technique. In the same way, the modeling and simulation of Darwinian evolution can be conducted with differential equations or alternatively by means of heuristic methods, for example, genetic algorithms.

The goal of this Special Issue is to publish articles in which a biological system is modeled and simulated by applying alternative techniques to traditional methods or using a combination, for example, of differential equations with such alternative methods. Alternative methods may include but are not limited to cellular automata, heuristic procedures, etc. or less-standard mathematical procedures in biology, e.g., group theory, or approaches from domains such as topology.

Prof. Dr. R. Lahoz-Beltra
Guest Editor

Manuscript Submission Information

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Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 1600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • Differential equations
  • Linear algebra
  • Modeling biological systems
  • Simulation methods
  • Heuristic approaches

Published Papers (1 paper)

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Research

Article
Stage-Dependent Structured Discrete-Time Models for Mosquito Population Evolution with Survivability: Solution Properties, Equilibrium Points, Oscillations, and Population Feedback Controls
Mathematics 2019, 7(12), 1181; https://doi.org/10.3390/math7121181 - 03 Dec 2019
Viewed by 800
Abstract
This paper relied on the investigation of the properties of the stage-structured model of coupled larvae and adult mosquito populations’ evolution when parameterized, in general, by time-varying (or stage-dependent) sequences. In particular, the investigated properties were the non-negativity of the solution under non-negative [...] Read more.
This paper relied on the investigation of the properties of the stage-structured model of coupled larvae and adult mosquito populations’ evolution when parameterized, in general, by time-varying (or stage-dependent) sequences. In particular, the investigated properties were the non-negativity of the solution under non-negative initial conditions, the boundedness of the sequence solutions under any finite non-negative initial conditions, the equilibrium points, and the convergence conditions to them in the event that the parameterizing sequences converge to finite limits. Some further properties that were investigated relied on deriving the oscillation conditions of the solutions under certain conditions of the parameterizations. The use of feedback controls to decrease the foreseen numbers of alive mosquitoes in future evolution stages is also proposed. The proposed control actions are exerted on the birth rate and/or the maximum progression rate sequences. Some illustrative examples are also given. Full article
(This article belongs to the Special Issue Trends in Modeling and Simulation of Biological Systems)
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