Multi-vehicle assignment with elastic vehicle choice behaviour: Fixed-point, deterministic process and stochastic process models

Although several modes of reprogramming have been reported in different cell types during iPSC induction, the molecular mechanism regarding the selection of different modes of action is still mostly unknown. The present study examined the molecular events that participate in the selection of such processes at the onset of somatic reprogramming. The activity of STAT3 versus that of Erk1/2 reversibly determines the reprogramming mode entered; a lower activity ratio favors the deterministic process and vice versa. Additionally, extraneous E-cadherin facilitates the early events of somatic reprogramming, potentially by stabilizing the LIF/gp130 and EGFR/ErbB2 complexes to promote entry into the deterministic process. Our current findings demonstrated that manipulating the pSTAT3/pErk1/2 activity ratio in the surrounding milieu can drive different modes of action toward either the deterministic or the stochastic process in the context of OSKM-mediated somatic reprogramming.

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The effects of health histories on stochastic process models of aging and mortality

Journal of Mathematical Biology ◽

10.1007/bf00180134 ◽

1995 ◽

Vol 34 (1) ◽

pp. 1-16 ◽

Cited By ~ 10

Author(s):

Anatoli I. Yashin ◽

Kenneth G. Manton ◽

Max A. Woodbury ◽

Eric Stallard

Keyword(s):

Stochastic Process ◽

Process Models

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Replicating the Recovery following the 2014 South Napa Earthquake using Stochastic Process Models

Earthquake Spectra ◽

10.1193/012917eqs020m ◽

2018 ◽

Vol 34 (3) ◽

pp. 1247-1266 ◽

Cited By ~ 9

Author(s):

Hua Kang ◽

Henry V. Burton ◽

Haoxiang Miao

Keyword(s):

Stochastic Process ◽

Repair Time ◽

Process Models ◽

Time Data ◽

Data Set ◽

Damage Data ◽

Exogenous Factors ◽

Recovery Models ◽

Statistical Relationships ◽

Recovery Trajectory

Post-earthquake recovery models can be used as decision support tools for pre-event planning. However, due to a lack of available data, there have been very few opportunities to validate and/or calibrate these models. This paper describes the use of building damage, permitting, and repair data from the 2014 South Napa Earthquake to evaluate a stochastic process post-earthquake recovery model. Damage data were obtained for 1,470 buildings, and permitting and repair time data were obtained for a subset (456) of those buildings. A “blind” prediction is shown to adequately capture the shape of the recovery trajectory despite overpredicting the overall pace of the recovery. Using the mean time to permit and repair time from the acquired data set significantly improves the accuracy of the recovery prediction. A generalized model is formulated by establishing statistical relationships between key time parameters and endogenous and exogenous factors that have been shown to influence the pace of recovery.

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Analysis of Crossword Puzzle Difficulty Using a Random Graph Process

The Mathematics of Various Entertaining Subjects ◽

10.23943/princeton/9780691164038.003.0008 ◽

2015 ◽

Author(s):

John K. McSweeney

Keyword(s):

New York ◽

Stochastic Process ◽

Fixed Point ◽

Network Structure ◽

New York Times ◽

Final Solution ◽

Crossword Puzzle ◽

Fixed Point Equation ◽

Point Equation ◽

Network Properties

This chapter quantifies the dynamics of a crossword puzzle by using a network structure to model it. Specifically, the chapter determines how the interaction between the structure of cells in the puzzle and the difficulty of the clues affects the puzzle's solvability. It first builds an iterative stochastic process that exactly describes the solution and obtains its deterministic approximation, which gives a very simple fixed-point equation to solve for the final solution proportion. The chapter then shows via simulation on actual crosswords from the Sunday edition of The New York Times that certain network properties inherent to actual crossword networks are important predictors of the final solution size of the puzzle.

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Translating environmental xenobiotic fate models across scales

Hydrology and Earth System Sciences ◽

10.5194/hess-1-895-1997 ◽

1997 ◽

Vol 1 (4) ◽

pp. 895-904 ◽

Cited By ~ 2

Author(s):

O. Richter ◽

B. Diekkrüger

Keyword(s):

Stochastic Models ◽

Process Models ◽

Spatial Process ◽

Soil Parameters ◽

Deterministic Models ◽

Deterministic Process ◽

Statistical Variation ◽

Scale Models ◽

Classical Models ◽

Environmental Xenobiotic

Abstract. The classical models developed for degradation and transport of xenobiotics have been derived with the assumption of homogeneous environments. Unfortunately, deterministic models function well in the laboratory under homogeneous conditions but such homogeneous conditions often do not prevail in the field. A possible solution is the incorporation of the statistical variation of soil parameters into deterministic process models. This demands the development of stochastic models of spatial variability. To this end, spatial soil parameter fields are conceived as the realisation of a random spatial process. Extrapolation of local fine scale models to large heterogeneous fields is achieved by coupling deterministic process models with random spatial field models.

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Models of Movement: A Review of Alternative Methods

Environment and Planning A Economy and Space ◽

10.1068/a121383 ◽

1980 ◽

Vol 12 (12) ◽

pp. 1383-1404 ◽

Cited By ~ 18

Author(s):

A Pickles

Keyword(s):

Stochastic Process ◽

Transition Rate ◽

Process Models ◽

Alternative Methods ◽

Occupancy Models ◽

Alternative Approaches ◽

Fixed State

This paper reviews methods available to analyse movement and in particular migration. Stochastic process models seem able to provide a framework for microanalysis which can incorporate much of the complexity of such processes. However, a consideration of the effect of macro-constraints, in the form of limited opportunities for movement and of interhousehold competition, leads to a distinction between fixed transition rate and fixed state occupancy models. Alternative approaches to fixed state occupancy models are considered, and some of their potential strengths and weaknesses are discussed.

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