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Related Concept Videos

Fundamental Mathematical Principles in Pharmacokinetics: Calculus and Graphs01:21

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The fundamental mathematical principles, such as calculus and graphs, play crucial roles in analyzing drug movement and determining pharmacokinetic parameters. Differential calculus examines rates of change and helps to determine the dissolution rate of drugs in biofluids, as well as how drug concentrations change over time. For instance, it can help calculate the rate of elimination of a drug from the body based on its concentration-time profile.
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In population modeling, integration provides a systematic way to determine accumulated quantities from known rates of change. One such application arises in ecology, where the total weight of a fish population in a body of water is referred to as its biomass. When the rate of growth of this biomass is known as a function of time, calculus can be used to determine the total biomass at a future date.Growth Rate and Biomass FunctionLet the growth rate of the fish population be represented by a...
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Exponential models are essential for describing rapid, multiplicative changes in natural systems, such as population growth. When a population doubles at regular intervals, the process can be modeled using a suitable base. For instance, a bacterial culture that doubles every three hours follows the model n(t)=n0⋅2t/3, where n(t) is the population at the time t.A more general model uses the natural base e, especially for continuous growth. This takes the form n(t)=n0⋅ert, where r is...
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Population dynamics can be described mathematically by considering the population size P(t) as a function of time. The rate of change of the population is then represented by the derivative of P(t). A simple assumption is that the rate of growth is proportional to the size of the population itself. This leads to an exponential growth model, where the population increases rapidly without bound. While this is a useful first approximation, it does not reflect realistic long-term...
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Updated: May 6, 2026

BioMEMS and Cellular Biology: Perspectives and Applications
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Advice to a Young Mathematical Biologist.

Paul A Roberts1

  • 1Centre for Systems Modelling and Quantitative Biomedicine, Institute of Biomedical Research, University of Birmingham, Birmingham, B15 2TT, UK. p.a.roberts@univ.oxon.org.

Bulletin of Mathematical Biology
|April 9, 2024
PubMed
Summary

This guide provides essential career advice for early to mid-career researchers in mathematical biology and related STEM fields. It covers crucial aspects from mentorship and collaboration to grant writing and academic positions.

Keywords:
CareerFunding applicationsJob applicationsMentorshipNetworkingTeaching and research

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Area of Science:

  • Mathematical Biology
  • Interdisciplinary Sciences

Background:

  • Early and mid-career researchers require guidance for academic success.
  • Transitioning into a scientific career involves multifaceted challenges.

Purpose of the Study:

  • To provide actionable advice for researchers in Mathematical Biology.
  • To offer insights on navigating academic and research careers.

Main Methods:

  • Compilation of advice from ten past and current Presidents of the Society for Mathematical Biology.
  • Structured guidance covering key career development stages.

Main Results:

  • Comprehensive coverage of essential research career skills.
  • Insights into academic decision-making, collaboration, and publication.

Conclusions:

  • The advice is tailored for mathematical biologists but broadly applicable to STEM researchers.
  • This paper serves as a valuable resource for early-career scientists.