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) | Viewed by 3034

Special Issue Editor


E-Mail Website
Guest Editor
Faculty of Biological Sciences, Modeling, Data Analysis and Computational Tools for Biology Research Group, Complutense University of Madrid, 28040 Madrid, Spain
Interests: cellular computing and information processing; molecular automata modeling; evolutionary algorithms and computation; towards a morphogenetic field theory; quantum computing applied to biology; evolutionary synthetic biology; sentiment simulation models in AI and empathic chatbots; numerical models and machine learning methods in natural science
Special Issues, Collections and Topics in MDPI journals

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

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access semimonthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 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

Benefits of Publishing in a Special Issue

  • Ease of navigation: Grouping papers by topic helps scholars navigate broad scope journals more efficiently.
  • Greater discoverability: Special Issues support the reach and impact of scientific research. Articles in Special Issues are more discoverable and cited more frequently.
  • Expansion of research network: Special Issues facilitate connections among authors, fostering scientific collaborations.
  • External promotion: Articles in Special Issues are often promoted through the journal's social media, increasing their visibility.
  • e-Book format: Special Issues with more than 10 articles can be published as dedicated e-books, ensuring wide and rapid dissemination.

Further information on MDPI's Special Issue polices can be found here.

Published Papers (1 paper)

Order results
Result details
Select all
Export citation of selected articles as:

Research

29 pages, 2441 KiB  
Article
Stage-Dependent Structured Discrete-Time Models for Mosquito Population Evolution with Survivability: Solution Properties, Equilibrium Points, Oscillations, and Population Feedback Controls
by Manuel De la Sen, Asier Ibeas and Aitor J. Garrido
Mathematics 2019, 7(12), 1181; https://doi.org/10.3390/math7121181 - 3 Dec 2019
Cited by 1 | Viewed by 2461
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)
Show Figures

Figure 1

Back to TopTop