This chapter begins with an introduction to the basic ideas behind clinical mathematical and computational modeling. In general, models of normal cognitive-behavioral functioning are titrated to accommodate performance deviations accompanying psychopathology; model features remaining intact indicate functions that are spared; those that are perturbed are triaged as signifying functions that are disorder affected. Distinctions and interrelations among forms of modeling in clinical science and assessment are stipulated, with an emphasis on analytical, mathematical modeling. Preliminary conceptual and methodological considerations are presented. Concrete examples illustrate the benefits of modeling as applied to specific disorders. Emphasis in each case is on clinically significant information uniquely yielded by the modeling enterprise. Implications for the functional side of clinical functional neuro-imaging are detailed. Challenges to modeling in the domain of clinical science and assessment are described, as are tendered solutions. The chapter ends with a description of continuing challenges and future opportunities.
Mathematical and computational modeling of a ferrofluid deformable mirror for high-contrast imaging
