A Mathematical Approach to Multilevel, Multiscale Health by Rodrick Wallace

By Rodrick Wallace

This e-book, in accordance with released stories, takes a different standpoint at the 30-year cave in of pharmaceutical productiveness within the look for small molecule "magic bullet" interventions. The relentless escalation of inflation-adjusted expense according to licensed drugs within the usa -- from $200 million in 1950 to $1.2 billion in 2010 -- has pushed giants to, at top, slavish imitation in drug layout, and at worst, abandonment of study and embracing of common fraud in shopper advertising and marketing.

The ebook adapts formalism throughout a few disciplines to the tactic for layout of mutilevel interventions, focusing first on molecular, mobile, and bigger scale examples, after which extending the argument to the simplifications supplied through the dominant function of social and cultural constructions and techniques in person and inhabitants styles of future health and sickness.

as opposed to "magic bullets", we needs to now follow "magic ideas" that act throughout either the dimensions and point of association. This publication offers an introductory roadmap to the hot instruments that would be wanted for the layout of such techniques.

Readership: Undergraduate, graduate, researchers and execs in biomathematics, biostatistics, mathematical modeling, complicated platforms and prescribed drugs.

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Extra info for A Mathematical Approach to Multilevel, Multiscale Health Interventions: Pharmaceutical Industry Decline and Policy Response

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Assume a monotonic increasing measure of available free energy intensity M , Q(κM ), Q(0) = 0 where κ is again an appropriate inverse energy scaling constant. Further assume that possible generalized cognitive trajectories are constrained by the availability of energy resources, so that the probability of an (inherently irreversible and highly dynamic) information source associated with a groupoid element Gj defined by cognitive process, at a fixed Q(κM ), is given, in a first approximation, by the standard expression for the Gibbs distribution P [HGj ] = exp[−HGj /Q] .

Expressing the regularities of sociocultural interaction in terms of the grammar and syntax of an information source would permit their incorporation into the dynamics of Eq. 3) in a natural manner. Clearly, then, the ‘riverbank’ nature of cultural pattern and power relations that directs the stream of human pathophysiology arises from the difference in time scales between normal physiological process and the rate of change of culture, catastrophic events aside. 2 35 A Rate Distortion Reformulation Real-time dynamics Real-time biological problems are inherently rate distortion problems, and it becomes possible to reformulate the underlying theory from that perspective.

R(D) and τ H are thus basic energy measures. 12) where κ might represent something like an efficiency measure of information usage. The ‘real time’ measure τ divides out in this formulation. January 10, 2013 9:26 P880 - Multiscale Health Interventions - 9in x 6in DYNAMIC ‘REGRESSION’ MODELS 39 Then ∞ RP r[R, H]dR = κH . 13) 0 By the arguments above, limits on incoming information H resulting in limits on < R > will express themselves in limits on the richness of system behavior. In the case that R and H have different characteristic times, say τR and τH , then κ in the above equations is replaced by τH κ ˆ=κ .

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