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Modeling transport of extended interacting objects with drop-off phenomenon
Aditi Jain1, Arvind Kumar Gupta1
1Department of Mathematics, Indian Institute of Technology Ropar, Rupnagar, Punjab, India.
Plos One
|May 2, 2022
Summary
We developed a new model for cellular transport, the excluded flow of extended interacting objects with drop-off effect (EFEIOD). This model shows how particle interactions and detachment influence transport efficiency and steady-state flow.
Area of Science:
- Biophysics
- Mathematical Biology
- Cellular Transport Modeling
Background:
- Cellular transport involves complex interactions of numerous molecules.
- Existing models often simplify particle behavior and interactions.
- Realistic modeling requires accounting for particle size and detachment.
Purpose of the Study:
- To introduce and analyze the excluded flow of extended interacting objects with drop-off effect (EFEIOD) model.
- To investigate the impact of particle interactions and detachment on cellular transport.
- To determine the steady-state behavior and convergence properties of the model.
Main Methods:
- Developed a deterministic framework for molecular transport.
- Incorporated particle length, unidirectional flow, and soft exclusion principle.
- Analyzed steady-state solutions and convergence under periodic parameters.
- Simulated the EFEIOD model to observe interaction effects.
Main Results:
- The EFEIOD model admits a unique steady-state.
- Periodic parameters lead to convergence to a unique periodic solution.
- Detachment rates can enhance steady-state flow by reducing traffic jams.
- Analyzed the ribosome flow model of extended objects with drop-off effect (RFMEOD) as a special case.
Conclusions:
- The EFEIOD model provides a realistic framework for cellular transport.
- Particle interactions and detachment significantly influence transport dynamics.
- Detachment offers a mechanism to optimize flow and alleviate congestion.
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