Using Mathematics to Understand Biological Complexity

1. Front Matter

   Pages i-vi

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2. Collaborative Workshop for Women in Mathematical Biology

   • Rebecca Segal, Blerta Shtylla, Suzanne Sindi

   Pages 1-6

3. Connecting Actin Polymer Dynamics Across Multiple Scales

   • Calina Copos, Brittany Bannish, Kelsey Gasior, Rebecca L. Pinals, Minghao W. Rostami, Adriana T. Dawes

   Pages 7-33

4. Modeling RNA:DNA Hybrids with Formal Grammars

   • Natas̆a Jonoska, Nida Obatake, Svetlana Poznanović, Candice Price, Manda Riehl, Mariel Vazquez

   Pages 35-54

5. Secondary Structure Ensemble Analysis via Community Detection

   • Huijing Du, Margherita Maria Ferrari, Christine Heitsch, Forrest Hurley, Christine V. Mennicke, Blair D. Sullivan et al.

   Pages 55-81

6. How Do Interventions Impact Malaria Dynamics Between Neighboring Countries? A Case Study with Botswana and Zimbabwe

   • Folashade Agusto, Amy Goldberg, Omayra Ortega, Joan Ponce, Sofya Zaytseva, Suzanne Sindi et al.

   Pages 83-109

7. Investigating the Impact of Combination Phage and Antibiotic Therapy: A Modeling Study

   • Selenne Banuelos, Hayriye Gulbudak, Mary Ann Horn, Qimin Huang, Aadrita Nandi, Hwayeon Ryu et al.

   Pages 111-134

8. Mathematical Modeling of Retinal Degeneration: Aerobic Glycolysis in a Single Cone

   • Erika Tatiana Camacho, Atanaska Dobreva, Kamila Larripa, Anca Rǎdulescu, Deena Schmidt, Imelda Trejo

   Pages 135-178

9. A Framework for Performing Data-Driven Modeling of Tumor Growth with Radiotherapy Treatment

   • Heyrim Cho, Allison L. Lewis, Kathleen M. Storey, Rachel Jennings, Blerta Shtylla, Angela M. Reynolds et al.

   Pages 179-216

10. Correction to: Investigating the Impact of Combination Phage and Antibiotic Therapy: A Modeling Study

    • Selenne Banuelos, Hayriye Gulbudak, Mary Ann Horn, Qimin Huang, Aadrita Nandi, Hwayeon Ryu et al.

    Pages C1-C1

This volume tackles a variety of biological and medical questions using mathematical models to understand complex system dynamics. Working in collaborative teams of six, each with a senior research mentor, researchers developed new mathematical models to address questions in a range of application areas. Topics include retinal degeneration, biopolymer dynamics, the topological structure of DNA, ensemble analysis, multidrug-resistant organisms, tumor growth modeling, and geospatial modeling of malaria. The work is the result of newly formed collaborative groups begun during the Collaborative Workshop for Women in Mathematical Biology hosted by the Institute of Pure and Applied Mathematics at UCLA in June 2019. Previous workshops in this series have occurred at IMA, NIMBioS, and MBI.

• dynamical systems
• multi-scale modeling
• optimization
• topology of DNA
• stochastic models
• geospatial models
• mathematical biology

• Department of Mathematics and Applied Mathematics, Virginia Commonwealth University, Richmond, USA

  Rebecca Segal

• Department of Mathematics, Pomona College, Claremont, USA

  Blerta Shtylla

• Department of Applied Mathematics, University of California, Merced, USA

  Suzanne Sindi

Rebecca Segal is Associate Professor at the Department of Mathematics and Applied Mathematics at Virginia Commonwealth University, USA. She holds a PhD in Applied Mathematics from the North Carolina State University.



Blerta Shtylla is Assistant Professor at the Department of Mathematics at Pomona College. She holds a PhD in Mathematics from the University of Utah.


Suzanne Sindi is Associate Professor at the Department of Applied Mathematics at University of California, Merced. She holds a PhD in Mathematics from the University of Maryland, College Park.

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