Related Experiment Video
Updated: May 29, 2026
07:47
Measuring Delay Discounting in Humans Using an Adjusting Amount Task
Published on: January 9, 2016
Role of delay in the stochastic creation process
1IFISC, Instituto de Física Interdisciplinar y Sistemas Complejos, CSIC-UIB, Campus UIB, E-07122 Palma de Mallorca, Spain.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|September 21, 2011
Summary
We developed a new theoretical method to study stochastic birth and death models with time delays. This research shows how delays can significantly change system fluctuations, impacting models like protein dynamics.
Area of Science:
- Theoretical biology
- Stochastic processes
- Biophysics
Background:
- Stochastic birth and death models are fundamental in understanding biological systems.
- Incorporating time delays is crucial for accurately modeling biological processes like gene expression.
- Existing methods may not fully capture the complex interplay between stochasticity and delay.
Purpose of the Study:
- To develop an approximate theoretical method for analyzing discrete stochastic birth and death models with time delays.
- To investigate how time delays influence system fluctuations in these models.
- To apply the developed method to a protein-dynamics model with transcription and translation delays.
Main Methods:
- Development of an approximate theoretical framework.
- Analysis of discrete stochastic birth and death models.
- Incorporation of both fixed and distributed delay times.
- Application to a specific protein-dynamics model.
Main Results:
- The theoretical method effectively studies stochastic models with delays.
- Time delays can qualitatively alter system fluctuations.
- Distributed delays also impact system dynamics.
- The model provides insights into the interplay of stochasticity and delay in biological systems.
Conclusions:
- The developed approximate theoretical method is a valuable tool for studying delayed stochastic systems.
- Time delays play a significant role in shaping the dynamics of stochastic biological models.
- Understanding this interplay is essential for accurate modeling of biological processes.
Related Concept Videos
01:19Retarders
Retarders are chemical admixtures designed to extend the setting time, which is especially useful when there is a delay in sequential concrete pours to prevent cold joints and to achieve a cohesive structure. Retarders, when used in appropriate amounts, can also enhance the architectural appearance of exposed aggregate finishes.
The function of retarders is to delay the setting of concrete, and this effect can be measured using a penetration test. The retardation process involves adding...
The function of retarders is to delay the setting of concrete, and this effect can be measured using a penetration test. The retardation process involves adding...
01:10Entropy Change in Reversible Processes
In the Carnot engine, which achieves the maximum efficiency between two reservoirs of fixed temperatures, the total change in entropy is zero. The observation can be generalized by considering any reversible cyclic process consisting of many Carnot cycles. Thus, it can be stated that the total entropy change of any ideal reversible cycle is zero.
The statement can be further generalized to prove that entropy is a state function. Take a cyclic process between any two points on a p-V diagram.
The statement can be further generalized to prove that entropy is a state function. Take a cyclic process between any two points on a p-V diagram.
03:33Genetic Drift
Natural selection—probably the most well-known evolutionary mechanism—increases the prevalence of traits that enhance survival and reproduction. However, evolution does not merely propagate favorable traits, nor does it always benefit populations.
01:16Interference and Decay
Forgetting is a complex cognitive phenomenon influenced by several factors, among which interference and decay are particularly prominent. These processes explain why individuals often struggle to retrieve specific information from memory, leading to lapses in recall that can be observed in everyday situations.
Interference occurs when competing memories hinder the retrieval of particular information. It can be classified into two types: proactive and retroactive interference. Proactive...
Interference occurs when competing memories hinder the retrieval of particular information. It can be classified into two types: proactive and retroactive interference. Proactive...
01:08Timing and Consequences on Behavior
In operant conditioning, the timing of reinforcement is crucial. For animals like rats and cats, immediate reinforcement (within a few seconds) is much more effective than delayed reinforcement. For example, a food reward for a rat needs to follow within 30 seconds of pressing a bar to be effective.
Humans, however, can respond to delayed reinforcers. We often make decisions between immediate small rewards and delayed larger rewards. This ability to delay gratification is a significant factor...
Humans, however, can respond to delayed reinforcers. We often make decisions between immediate small rewards and delayed larger rewards. This ability to delay gratification is a significant factor...
01:14Reversible and Irreversible Processes
The thermodynamic processes can be classified into reversible and irreversible processes. The processes that can be restored to their initial state are called reversible processes. It is only possible if the process is in quasi-static equilibrium, i.e., it takes place in infinitesimally small steps, and the system remains at equilibrium However, these are ideal processes and do not occur naturally. An ideal system undergoing a reversible process is always in thermodynamic equilibrium within...