This book offers a bridge at the interface between engineering and cell biology, demonstrating how a mathematical modelling approach combined with quantitative experiments can provide enhanced understanding of cell phenomena involving receptor ligand interactions. Model frameworks are described over the entire spectrum of receptor processes, from fundamental cell surface binding, intracellular trafficking, and signal transduction events to the cell behavioural functions they govern, including proliferation, adhesion, and migration.
This research monograph focuses on a biomolecular separation process that occurs within most cells. Two types of molecules, receptors and ligands, are separated and routed along different intracellular pathways; this is a critical step in the process of receptor-mediated endocytosis. The development of an understanding of the basic mechanisms of this separation process is presented, with an emphasis on discovering the fundamental and measurable parameters that influence the event. Mathematical models of sorting are evaluated to predict the range of possible outcomes. These are compared with a variety of experimental data on different receptor/ligand systems. In addition, the influence of the separation on overall receptor/ligand processing dynamics is discussed. The book is intended for both biomathematicians and biologists. It is not necessary to understand the details of the model equations and their solution in order to test the models experimentally. The analysis suggests experiments that might be done to further investigate the sorting process and the text details methods for analyzing these experimental results.
Protein engineering endeavors to design new peptides and proteins or to change the structural and/or functional characteristics of existing ones for specific purposes, opening the way for the development of new drugs. This work develops in a comprehensive way the theoretical formulation for the methods used in computer-assisted modeling and predictions, starting from the basic concepts and proceeding to the more sophisticated methods, such as Monte Carlo and molecular dynamics. An evaluation of the approximations inherent to the simulations will allow the reader to obtain a perspective of the possible deficiencies and difficulties and approach the task with realistic expectations. Examples from the authors laboratories, as well as from the literature provide useful information.
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