Women in Mathematical Biology

1. Front Matter

   Pages i-viii

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2. The Modulation of Pain by Circadian and Sleep-Dependent Processes: A Review of the Experimental Evidence

   • Megan Hastings Hagenauer, Jennifer A. Crodelle, Sofia H. Piltz, Natalia Toporikova, Paige Ferguson, Victoria Booth

   Pages 1-21

3. Investigating Circadian Rhythmicity in Pain Sensitivity Using a Neural Circuit Model for Spinal Cord Processing of Pain

   • Jennifer A. Crodelle, Sofia H. Piltz, Victoria Booth, Megan Hastings Hagenauer

   Pages 23-48

4. A Two-Process Model for Circadian and Sleep-Dependent Modulation of Pain Sensitivity

   • Natalia Toporikova, Megan Hastings Hagenauer, Paige Ferguson, Victoria Booth

   Pages 49-62

5. Introduction to Mathematical Modeling of Blood Flow Control in the Kidney

   • Anita T. Layton, Aurélie Edwards

   Pages 63-73

6. Modeling Autoregulation of the Afferent Arteriole of the Rat Kidney

   • Maria-Veronica Ciocanel, Tracy L. Stepien, Aurélie Edwards, Anita T. Layton

   Pages 75-100

7. Modeling Blood Flow and Oxygenation in a Diabetic Rat Kidney

   • Ioannis Sgouralis, Anita T. Layton

   Pages 101-113

8. Tracking the Distribution of a Solute Bolus in the Rat Kidney

   • Anita T. Layton

   Pages 115-136

9. Mathematical Modeling of the Effects of Nutrient Competition and Bile Acid Metabolism by the Gut Microbiota on Colonization Resistance Against Clostridium difficile

   • Arietta Fleming-Davies, Sara Jabbari, Suzanne L. Robertson, Tri Sri Noor Asih, Cristina Lanzas, Suzanne Lenhart et al.

   Pages 137-161

10. Revisiting the Physics of Spider Ballooning

    • Kimberly S. Sheldon, Longhua Zhao, Angela Chuang, Iordanka N. Panayotova, Laura A. Miller, Lydia Bourouiba

    Pages 163-178

11. Flying Spiders: Simulating and Modeling the Dynamics of Ballooning

    • Longhua Zhao, Iordanka N. Panayotova, Angela Chuang, Kimberly S. Sheldon, Lydia Bourouiba, Laura A. Miller

    Pages 179-210

12. On the Dynamic Suction Pumping of Blood Cells in Tubular Hearts

    • Nicholas A. Battista, Andrea N. Lane, Laura A. Miller

    Pages 211-231

13. Undergraduate Research Highlight: Modeling Movement Behavior Among Interacting Species

    • Anne Talkington

    Pages 233-250

14. Erratum

    • Anita T. Layton, Laura A. Miller

    Pages E1-E1

15. Back Matter

    Pages 251-252

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Inspired by the Research Collaboration Workshop for Women in Mathematical Biology, this volume contains research and review articles that cover topics ranging from models of animal movement to the flow of blood cells in the embryonic heart. Hosted by the National Institute for Mathematics and Biological Synthesis (NIMBioS), the workshop brought together women working in biology and mathematics to form four research groups that encouraged multidisciplinary collaboration and lifetime connections in the STEM field. This volume introduces many of the topics from the workshop, including the aerodynamics of spider ballooning; sleep, circadian rhythms, and pain; blood flow regulation in the kidney; and the effects of antimicrobial therapy on gut microbiota and microbiota and Clostridium difficile. Perfect for students and researchers in mathematics and biology, the papers included in this volume offer an introductory glimpse at recent research in mathematical biology. 

• computer simultation of biological systems
• epidemiology
• mathematical biology
• mathematical microbiology
• mathematical modeling
• modeling of biological systems
• NIMBioS

• Department of Mathematics, Duke University, Durham, USA

  Anita T. Layton

• Departments of Mathematics and Biology, University of North Carolina, Chapel Hill, USA

  Laura A. Miller

Anita Layton is the Robert R. and Katherine B. Penn Associate Professor of Mathematics at Duke University. She is the author, along with Aurelie Edwards, of the Lecture Notes on Mathematical Modeling in the Life Sciences volume Mathematical Modeling of Renal Physiology (2013). Her research focuses on mathematical physiology, multiscale numerical methods, and numerical methods for immersed boundary problems.

Laura Miller is Associate Professor of Biology and Mathematics at the University of North Carolina at Chapel Hill, where she also serves as Principal Investigator of the Mathematical Physiology Group. Her research examines the developmental and evolutionary significance of fluid dynamic forces in biological systems, particularly how biological structures have evolved to increase fluid transport and locomotion efficiency, the way fluid forces constrain biological design, and the influence of fluid scaling effects during animal development.

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