scholarly journals Mathematical modeling of dynamic biological systems

1982 ◽  
Vol 59 (1) ◽  
pp. 157
Author(s):  
John A. Jacquez
Keyword(s):  
Mathematical Modeling ◽  
Biological Systems

scholarly journals Demographic Dynamics in Multitype Populations with Migrations

Mathematics ◽  
2021 ◽  
Vol 9 (3) ◽  
pp. 246
Author(s):  
Manuel Molina-Fernández ◽  
Manuel Mota-Medina
Keyword(s):  
Mathematical Modeling ◽  
Population Dynamics ◽  
Branching Process ◽  
Probability Model ◽  
Biological Systems ◽  
Research Work ◽  
General Setting ◽  
Process Theory ◽  
Multitype Branching Process ◽  
Demographic Dynamics

This research work deals with mathematical modeling in complex biological systems in which several types of individuals coexist in various populations. Migratory phenomena among the populations are allowed. We propose a class of mathematical models to describe the demographic dynamics of these type of complex systems. The probability model is defined through a sequence of random matrices in which rows and columns represent the various populations and the several types of individuals, respectively. We prove that this stochastic sequence can be studied under the general setting provided by the multitype branching process theory. Probabilistic properties and limiting results are then established. As application, we present an illustrative example about the population dynamics of biological systems formed by long-lived raptor colonies.

scholarly journals Mathematical Modeling and Dynamic Analysis of Complex Biological Systems

Complexity ◽  
2019 ◽  
Vol 2019 ◽  
pp. 1-2
Author(s):  
Alain Vande Wouwer ◽  
Philippe Bogaerts ◽  
Jan Van Impe ◽  
Alejandro Vargas
Keyword(s):  
Mathematical Modeling ◽  
Dynamic Analysis ◽  
Biological Systems

The Use of Collaborative Learning in Biomedical Engineering Education

2001 ◽  
Author(s):  
Donald P. Gaver
Keyword(s):  
Mathematical Modeling ◽  
Collaborative Learning ◽  
Engineering Education ◽  
Biomedical Engineering ◽  
Biological Systems ◽  
Graduate Level ◽  
Modeling And Analysis ◽  
Traditional Mathematics ◽  
Biomedical Engineering Education ◽  
Engineering Undergraduates

Abstract At Tulane University, we have developed a course that is intended to bridge the gap between traditional mathematics ‘tools-based’ courses taken by undergraduates and the application of these tools to model biological systems. This course, ‘Mathematical Modeling and Analysis of Biological Systems,’ was developed initially as a graduate-level course, and has migrated to become required of all Biomedical Engineering undergraduates.

scholarly journals Mathematical modeling of biochemical processes rates in biological systems.

2021 ◽  
pp. 43-49
Author(s):  
Г. Губаль
Keyword(s):  
Mathematical Modeling ◽  
Biological Systems ◽  
Enzymatic Reactions ◽  
Biochemical Processes

Mathematical modeling of biochemical processes rates in biological systems is performed in the article. An example of enzymatic reactions is considered and investigated.

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