scholarly journals John Bryce McLeod. 23 December 1929 — 20 August 2014

2016 ◽  
Vol 62 ◽  
pp. 381-407 ◽  
Author(s):  
Stuart Hastings
Keyword(s):  
Functional Analysis ◽  
Partial Differential Equations ◽  
Differential Equations ◽  
Nonlinear Equations ◽  
Mathematical Analysis ◽  
London Mathematical Society ◽  
Mathematical Society ◽  
Partial Differential

J. B. McLeod was a brilliant solver of problems in mathematical analysis, primarily differential equations. He received his FRS in 1992, and the citation reads in part: ‘Distinguished for many significant contributions to applied analysis, particularly to the theory of partial differential equations with applications to practical problems. … By the exemplary precision and power of his publications and his lectures, he has become internationally recognized as the leading British authority on the useful applications of functional analysis.‘ In addition, in 2011 McLeod was awarded the Naylor Prize and Lectureship of the London Mathematical Society ‘in recognition of his important and versatile achievements in the analysis of nonlinear equations arising in applications to mechanics, physics, and biology.’ He collaborated widely, and was a resource for many applied mathematicians who wanted to have a more rigorous foundation for their work. He leaves a hole that will be hard to fill.

Case Formulation and Design of Behavioral Treatment Programs

2003 ◽  
Vol 19 (3) ◽  
pp. 164-174 ◽  
Author(s):  
Stephen N. Haynes ◽  
Andrew E. Williams
Keyword(s):  
Functional Analysis ◽  
Behavior Problems ◽  
Behavioral Treatment ◽  
Clinical Case ◽  
Relative Magnitude ◽  
Mechanisms Of Action ◽  
Treatment Programs ◽  
Case Formulation ◽  
Functional Relations ◽  
Causal Variables

Summary: We review the rationale for behavioral clinical case formulations and emphasize the role of the functional analysis in the design of individualized treatments. Standardized treatments may not be optimally effective for clients who have multiple behavior problems. These problems can affect each other in complex ways and each behavior problem can be influenced by multiple, interacting causal variables. The mechanisms of action of standardized treatments may not always address the most important causal variables for a client's behavior problems. The functional analysis integrates judgments about the client's behavior problems, important causal variables, and functional relations among variables. The functional analysis aids treatment decisions by helping the clinician estimate the relative magnitude of effect of each causal variable on the client's behavior problems, so that the most effective treatments can be selected. The parameters of, and issues associated with, a functional analysis and Functional Analytic Clinical Case Models (FACCM) are illustrated with a clinical case. The task of selecting the best treatment for a client is complicated because treatments differ in their level of specificity and have unequally weighted mechanisms of action. Further, a treatment's mechanism of action is often unknown.

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