Nonlinear Dynamics in Biological Systems

1. Front Matter

   Pages i-vii

   PDF

2. Modeling of Evolving RNA Replicators

   • Jacobo Aguirre, Michael Stich

   Pages 1-18

3. Quantitative Analysis of Synthesized Nucleic Acid Pools

   • Ramon Xulvi-Brunet, Gregory W. Campbell, Sudha Rajamani, José I. Jiménez, Irene A. Chen

   Pages 19-41

4. Non-linear Dynamics in Transcriptional Regulation: Biological Logic Gates

   • Till D. Frank, Miguel A. S. Cavadas, Lan K. Nguyen, Alex Cheong

   Pages 43-62

5. Pattern Formation at Cellular Membranes by Phosphorylation and Dephosphorylation of Proteins

   • Sergio Alonso

   Pages 63-82

6. An Introduction to Mathematical and Numerical Modeling of Heart Electrophysiology

   • Luca Gerardo-Giorda

   Pages 83-111

7. Mechanisms Underlying Electro-Mechanical Cardiac Alternans

   • Blas Echebarria, Enric Alvarez-Lacalle, Inma R. Cantalapiedra, Angelina Peñaranda

   Pages 113-128

This book presents recent research results relating to applications of nonlinear dynamics, focusing specifically on four topics of wide interest: heart dynamics, DNA/RNA, cell mobility, and proteins. The book derives from the First BCAM Workshop on Nonlinear Dynamics in Biological Systems, held in June 2014 at the Basque Center of Applied Mathematics (BCAM). At this international meeting, researchers from different but complementary backgrounds, including molecular dynamics, physical chemistry, bio-informatics and biophysics, presented their most recent results and discussed the future direction of their studies using theoretical, mathematical modeling and experimental approaches. Such was the level of interest stimulated that the decision was taken to produce this publication, with the organizers of the event acting as editors. All of the contributing authors are researchers working on diverse biological problems that can be approached using nonlinear dynamics. The book will appeal especially to applied mathematicians, biophysicists, and computational biologists.

• Nonlinear dynamics
• Heart dynamics
• DNA/RNA
• Cell motility
• Protein simulations

• Université Libre de Bruxelles, Brussels, Belgium

  Jorge Carballido-Landeira

• Basque Center for Applied Mathematics, Bilbao, Spain

  Bruno Escribano

Policies and ethics