Contents tagged “equations”

There are 2 contents with the tag “equations”:

  1. Mathematical modeling in the study of organisms and their parts

    Mathematical modeling in the study of organisms and their parts

    Systems Biology 2nd edition

    How do mathematical models convey meaning? What is required to build a model? An introduction for biologists and philosophers.

    Abstract

    Mathematical modeling is a very powerful tool to understand natural phenomena. Such a tool carries its own assumptions and should always be used critically. In this chapter we highlight the key ingredients and steps of modeling and focus on their biological interpretation. In particular, we discuss the role of theoretical principles in writing models. We also highlight the meaning and interpretation of equations. The main aim of this chapter is to facilitate the interaction between biologists and mathematical modelers. We focus on the case of cell proliferation and motility in the context of multicellular organisms.

    Keywords: Equations, Mathematical modeling, Parameters, Proliferation, Theory

    Citation
    Montévil, Maël. 2024. “Mathematical Modeling in the Study of Organisms and Their Parts.” In Systems Biology 2nd Edition, edited by Mariano Bizzarri. Methods in Molecular Biology. https://link.springer.com/book/9781071635766
    Manuscript Citation Publisher Full text
  2. A Primer on Mathematical Modeling in the Study of Organisms and Their Parts

    A Primer on Mathematical Modeling in the Study of Organisms and Their Parts

    Systems Biology

    How do mathematical models convey meaning? What is required to build a model? An introduction for biologists and philosophers.

    Abstract

    Mathematical modeling is a very powerful tool for understanding natural phenomena. Such a tool carries its own assumptions and should always be used critically. In this chapter, we highlight the key ingredients and steps of modeling and focus on their biological interpretation. In particular, we discuss the role of theoretical principles in writing models. We also highlight the meaning and interpretation of equations. The main aim of this chapter is to facilitate the interaction between biologists and mathematical modelers. We focus on the case of cell proliferation and motility in the context of multicellular organisms.

    Keywords: Equations, Mathematical modeling, Parameters, Proliferation, Theory

    Citation
    Montévil, Maël. 2018. “A Primer on Mathematical Modeling in the Study of Organisms and Their Parts.” In Systems Biology, edited by Mariano Bizzarri, 41–55. Methods in Molecular Biology. New York, NY: Springer. https://doi.org/10.1007/978-1-4939-7456-6_4
    Manuscript Citation Publisher Full text

See all tags.