Longitudinal data analysis: an application to construction of a natural history profile of Duchenne muscular dystrophy

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Abstract

A 30-month prospective study of 27 Scandinavian boys with confirmed diagnosis of Duchenne muscular dystrophy was carried out to construct profiles of the natural history of the disease. Assessments which included measures of voluntary muscle strength and function were done at 3 monthly intervals except for the first and second which were separated by 1 month. Recently developed statistical methods for analysis of longitudinal data with repeated observations on the same individual were used avoiding the problem of induced serial correlations. This allowed for the construction of both reference and prediction profiles for the variables %MRC, motor ability, walking time for 10 m and the sum of myometry of seven muscle groups.

Introduction

Duchenne muscular dystrophy (DMD) [1] is characterized by progressive and profound loss of muscle strength which in a given child is said to follow a linear decline in relation to age [2]. The complex inter-relationship between muscle strength, range of motion and physical function means that assessment of outcome of therapeutic intervention requires a holistic approach [3].

From the early 1980s protocols for assessment comprising measures of muscle strength, range of motion and functional task have been developed to provide a quantitative description of the natural history of the disease [4], [5], [6]. These protocols have been used in studies to evaluate intervention and strategies for supportive care and in some cases allowed the prediction of critical periods to be identified [7], [8], [9].

Since publication of the landmark paper of Hoffman et al. [10] in 1987 identifying the defective gene that encodes the protein ‘dystrophin’, and the potential for the development of biotechnologically based curative strategies that it implied, there has been an increased focus on the methodological aspects of these protocols. The renewed interest in the role of steroids as a therapeutic agent has added further impetus to this objective [11]. Inherent problems of the protocols are the data types they produce, mainly ordinal and categorical. Therefore emphasis has been placed on developing quantitative methods for evaluating voluntary muscle strength to replace or augment the traditional manual muscle test [12]. Less emphasis has been placed on adopting the use of recently developed methods of statistical analysis that address fully the longitudinal aspects of data, where there are repeated observations on the same subject [13], [14].

The purpose of this study was to establish a profile of the physical characteristics of Scandinavian boys with DMD for use in future intervention studies and to explore the application of statistical methods for analysis of longitudinal data.

Section snippets

Subjects and methods

Data from 27 boys with confirmed diagnosis of DMD according to established criteria [1] were used to construct the profiles. The recruitment of the study cohort and the assessment protocol were described in detail earlier [15]. The assessment included the anthropometric measures of height and weight, two measures of voluntary muscle strength, namely the Medical Research Council (MRC) [16] method of manual muscle testing and measurement of isometric muscle strength of seventeen muscle groups,

Results

The %MRC scores presented as response curves for all boys at all assessments in relation to age is shown in Fig. 1. It can be seen that although there is an overall trend for loss of %MRC associated with age there is intra-individual variation between successive assessments.

Discussion

In this small study using a well established evaluation protocol [4] we have shown that it is possible to construct both reference and predictive profiles of the natural history of DMD using recently developed statistical methods for longitudinal data.

We have shown that a longitudinal model which describes the intra-individual variation as a ‘random walk’, provides a satisfactory fit for the data. This model takes into account the longitudinal nature of the data in contrast to the cross

Acknowledgements

We gratefully acknowledge financial support from Muskelsvindfonden, Denmark, and its supporting Trusts, also Riksförbundet för Barn och Ungdommar in Sweden and Rikshospitalet Barneneurologisk seksjon Berg Gård, Oslo, Norway. We sincerely thank the children who participated in the study, their parents and helpers for their enormous support and patience. We recognise the contribution made by the medical staff and therapists in the clinical facilities with which we had direct contact. Lastly we

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