Mathematical models and simulations of cellular processes based on actin filaments
Thomas D Pollard1, Julien Berro
1Department of Molecular, Cellular, and Developmental Biology, Yale University, New Haven, Connecticut 06520-8103, USA. thomas.pollard@yale.edu
The Journal of Biological Chemistry
|October 23, 2008
Summary
Mathematical models and computer simulations are crucial for understanding actin filament dynamics and cellular movements. These tools integrate protein structures and reaction kinetics to analyze complex cellular processes involving force.
Area of Science:
- Cell Biology
- Biophysics
- Computational Biology
Background:
- Actin filaments are essential for maintaining cell integrity and driving cellular movements.
- Understanding complex actin-based processes requires advanced analytical tools beyond intuition.
Purpose of the Study:
- To highlight the indispensable role of mathematical models and computer simulations in studying actin filament dynamics.
- To emphasize the integration of structural and kinetic data for quantitative analysis of cellular processes.
Main Methods:
- Development and application of quantitative mathematical models.
- Utilizing computer simulations to analyze emergent properties of actin networks.
- Integrating protein structure and reaction kinetics data.
Main Results:
- Models and simulations provide essential insights into emergent properties of complex reaction networks.
- Quantitative models allow comparison with experimental measurements in live cells.
- These approaches are vital for systems with multiple components and forces.
Conclusions:
- Mathematical modeling and simulation are integral to modern actin filament research.
- Quantitative analysis is necessary to comprehend the complex behavior of cellular machinery.
- The integration of diverse data types enhances our understanding of dynamic cellular processes.
Related Concept Videos
Studying the Cytoskeleton
The cytoskeletal architecture can be studied using different microscopic and biochemical techniques. Electron microscopy was instrumental in discovering the cytoskeletal architecture around the 1960s, which allowed obtaining structural information at a high-resolution level. However, the sample preparation procedure often limits this ability in biological samples. Several protocols have been developed over the years to optimize sample preparation. In one of the protocols known as rotary...
Actin Polymerization and Cell Motility
Actin is a family of globular proteins that are highly abundant in eukaryotic cells. It makes up approximately 1-5% of total cell protein concentration. Actin monomers polymerize to form a complex network of polarized filaments, the actin cytoskeleton, that plays a crucial role in many cellular processes, including cell motility, division, endocytosis, and metastasis of cancer cells.
Actin cytoskeleton dynamics can produce pushing, pulling, and resistance forces that help the cell to migrate.
Actin cytoskeleton dynamics can produce pushing, pulling, and resistance forces that help the cell to migrate.
Generation of Straight or Branched Actin Filaments
The straight or branched structure formation of actin filaments is controlled by nucleating proteins such as the formins and Arp2/3 complex. Formin-mediated assembly results in straight filaments, whereas Arp2/3 protein complex-mediated assembly results in branched actin filaments.
Arp2/3 Complex
Arp2/3 complex is a seven-subunit complex consisting of two proteins similar to actin- Arp2 and Arp3, and five other subunits that help keep Arp2 and Arp3 inactive. When required, the complex is...
Arp2/3 Complex
Arp2/3 complex is a seven-subunit complex consisting of two proteins similar to actin- Arp2 and Arp3, and five other subunits that help keep Arp2 and Arp3 inactive. When required, the complex is...
The Role of Actin and Myosin in Non-muscle Cells
Actin and myosin or actomyosin filaments also play a significant role in cells other than those involved in muscle contraction (which occurs within the sarcomere of muscle cells). The mechanism of non-muscle cell contractile bundles was first observed in Dictyostelium and Acanthamoeba. In non-muscle cells, two bundles are commonly found: stress fibers and actomyosin adherence belts. These contractile bundles are smaller and less organized than the ones found in muscle cells. They are held...
Mechanism of Filopodia Formation
Filopodia are thin, actin-rich cellular protrusions that play an important role in many fundamental cellular functions. They vary in their occurrence, length, and positioning in different cell types, suggesting their diverse roles.
Their main function is to guide migrating cells during normal tissue morphogenesis or cancer metastasis by recognizing and making initial contacts with the extracellular matrix. However, they can also act as stationary cell anchors or help to establish communication...
Their main function is to guide migrating cells during normal tissue morphogenesis or cancer metastasis by recognizing and making initial contacts with the extracellular matrix. However, they can also act as stationary cell anchors or help to establish communication...
Adaptability of Cytoskeletal Filaments
The cytoskeleton is a complex dynamic structure performing varied functions based on cellular requirements. The adaptability of the individual filaments in the cytoskeleton determines their ability to perform various functions within the cell. It can undergo rapid reorganization during processes like cell division or remain stable for several hours as in the interphase. The adaptability of these filaments depends on stringent regulatory mechanisms. The microfilament and microtubules of the...

