### Abstract

Rheumatoid Arthritis (RA) is a chronic inflammatory disease of unknown cause that affects around 1% of the adult population in the U.S. Women are more often affected than men by a ratio of 3 to 1, and although the disease can appear at any age in adult life, the incidence and prevalence increase with age. The inflammatory process that characterizes RA, centers in and around articular structures and is characterized by destruction that progresses over time. Attempts to apply curve fitting to the analysis of the progression of radiographic damage in RA have lead to numerous forms of mathematical models (linear, quadratic, cubic, square root, first-order kinetics, etc.). None of these models has been very successful in that a significant degree of ambiguity of the appropriate model form still remains. A mathematical model of the progression of RA would be useful to evaluate the effect of interventions to ameliorate joint destruction. In this paper, we present a rigorously derived second-order kinetics model and propose (a) a possible explanation for the ambiguity found in prior analyses, and (b) present a potentially clinically useful model for RA disease progression based upon radiographic assessment of joint damage. (C) 2000 Elsevier Science Ltd.

Original language | English (US) |
---|---|

Pages (from-to) | 31-38 |

Number of pages | 8 |

Journal | Mathematical and Computer Modelling |

Volume | 31 |

Issue number | 2-3 |

DOIs | |

State | Published - Jan 2000 |

### Fingerprint

### Keywords

- Disease modeling
- Inflammation
- Joint erosion
- Mathematical modeling
- Nonlinear models
- Radiographic damage
- Rheumatoid arthritis
- Simulation

### ASJC Scopus subject areas

- Information Systems and Management
- Control and Systems Engineering
- Applied Mathematics
- Computational Mathematics
- Modeling and Simulation

### Cite this

**Modeling the progression of articular erosion in rheumatoid arthritis (RA) : Initial mathematical models.** / Witten, T. M.; Del Rincon, Inmaculada; Escalante, Agustin.

Research output: Contribution to journal › Article

*Mathematical and Computer Modelling*, vol. 31, no. 2-3, pp. 31-38. https://doi.org/10.1016/S0895-7177(99)00221-6

}

TY - JOUR

T1 - Modeling the progression of articular erosion in rheumatoid arthritis (RA)

T2 - Initial mathematical models

AU - Witten, T. M.

AU - Del Rincon, Inmaculada

AU - Escalante, Agustin

PY - 2000/1

Y1 - 2000/1

N2 - Rheumatoid Arthritis (RA) is a chronic inflammatory disease of unknown cause that affects around 1% of the adult population in the U.S. Women are more often affected than men by a ratio of 3 to 1, and although the disease can appear at any age in adult life, the incidence and prevalence increase with age. The inflammatory process that characterizes RA, centers in and around articular structures and is characterized by destruction that progresses over time. Attempts to apply curve fitting to the analysis of the progression of radiographic damage in RA have lead to numerous forms of mathematical models (linear, quadratic, cubic, square root, first-order kinetics, etc.). None of these models has been very successful in that a significant degree of ambiguity of the appropriate model form still remains. A mathematical model of the progression of RA would be useful to evaluate the effect of interventions to ameliorate joint destruction. In this paper, we present a rigorously derived second-order kinetics model and propose (a) a possible explanation for the ambiguity found in prior analyses, and (b) present a potentially clinically useful model for RA disease progression based upon radiographic assessment of joint damage. (C) 2000 Elsevier Science Ltd.

AB - Rheumatoid Arthritis (RA) is a chronic inflammatory disease of unknown cause that affects around 1% of the adult population in the U.S. Women are more often affected than men by a ratio of 3 to 1, and although the disease can appear at any age in adult life, the incidence and prevalence increase with age. The inflammatory process that characterizes RA, centers in and around articular structures and is characterized by destruction that progresses over time. Attempts to apply curve fitting to the analysis of the progression of radiographic damage in RA have lead to numerous forms of mathematical models (linear, quadratic, cubic, square root, first-order kinetics, etc.). None of these models has been very successful in that a significant degree of ambiguity of the appropriate model form still remains. A mathematical model of the progression of RA would be useful to evaluate the effect of interventions to ameliorate joint destruction. In this paper, we present a rigorously derived second-order kinetics model and propose (a) a possible explanation for the ambiguity found in prior analyses, and (b) present a potentially clinically useful model for RA disease progression based upon radiographic assessment of joint damage. (C) 2000 Elsevier Science Ltd.

KW - Disease modeling

KW - Inflammation

KW - Joint erosion

KW - Mathematical modeling

KW - Nonlinear models

KW - Radiographic damage

KW - Rheumatoid arthritis

KW - Simulation

UR - http://www.scopus.com/inward/record.url?scp=0033996697&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0033996697&partnerID=8YFLogxK

U2 - 10.1016/S0895-7177(99)00221-6

DO - 10.1016/S0895-7177(99)00221-6

M3 - Article

AN - SCOPUS:0033996697

VL - 31

SP - 31

EP - 38

JO - Mathematical and Computer Modelling

JF - Mathematical and Computer Modelling

SN - 0895-7177

IS - 2-3

ER -