Mathematical Biology: Modeling, Analysis, and Simulations

Mathematical modeling and synthetic biology.

Synthetic biology is an engineering discipline that builds on our mechanistic understanding of molecular biology to program microbes to carry out new functions. Such predictable manipulation of a cell requires modeling and experimental techniques to work together. The modeling component of synthetic biology allows one to design biological circuits and analyze its expected behavior. The experime...

Mathematical Modeling in Biology: Philosophy and Pragmatics

uniFication Unification involves the integration and synthesis of disparate types of evidence and models. For instance, Darwin unified hybridization, developmental, paleontological, and biogeographical data under a single theory. in mathematical modeling, unification often entails embedding – a subsumption relation allowing for the unification of (i) various mathematical theories/ models and (i...

Mathematical modeling, analysis and simulation of Ebola epidemics

‎Mathematical models are the most important tools in epidemiology to understand previous outbreaks of diseases and to better understand the dynamics of how infections spread through populations‎. ‎Many existing models closely approximate historical disease patterns‎. ‎This article investigates the mathematical model of the deadly disease with severe and uncontrollable bleeding‎, ‎Ebola which is...

Mathematical modeling: epidemiology meets systems biology.

This issue of Cancer Epidemiology, Biomarkers, and Prevention includes a study on mathematical modeling of biological processes. Sokhansanj and Wilson describe a mathematical model that mimics the kinetics of base excision repair and thus permits them to investigate in silico the effects of genetic variation in this important DNA repair pathway (1). Why should epidemiologists have interest in t...

[Mathematical modeling and simulations to study cardiac arrhythmias].