A Mathematical Approach to Multilevel, Multiscale Health by Rodrick Wallace

By Rodrick Wallace

This e-book, in keeping with released experiences, takes a special 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 in step with authorized medication within the usa -- from $200 million in 1950 to $1.2 billion in 2010 -- has pushed giants to, at most sensible, slavish imitation in drug layout, and at worst, abandonment of analysis and embracing of frequent fraud in customer advertising.

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 by means of the dominant function of social and cultural buildings and methods in person and inhabitants styles of wellbeing and fitness and sickness.

as opposed to "magic bullets", we needs to now observe "magic suggestions" that act throughout either the size and point of association. This ebook offers an introductory roadmap to the recent instruments that would be wanted for the layout of such concepts.

Readership: Undergraduate, graduate, researchers and pros 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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This should be compared with Fig. 1 that represents two of the different network topologies of the dual information sources behind the parameterization. 1 then presents, in parameter space, several of the different ‘no free lunch’ arrangements of unconscious cognitive modules, as in Fig. 1, that unite to address problems facing the organism. 2, setting Eq. 3) to zero generates an index theorem (Hazewinkel, 2002) in the sense of Atiyah and Singer (1963). Such an object January 16, 2013 8:41 P880 - Multiscale Health Interventions - 9in x 6in DYNAMIC ‘REGRESSION’ MODELS 33 Fig.

Something like this would account for Fechner’s law stating that perception of sensory signals often scales as the log of the signal intensity. For the simple random case, however, we can parameterize as p = c/n. The graph with n/2 edges then corresponds to c = 1. The essential finding is that the behavior of the random network has three sections: 1. If c < 1, all the linked subnetworks are very small, and no global broadcast can take place. January 10, 2013 22 9:26 P880 - Multiscale Health Interventions - 9in x 6in MULTISCALE HEALTH INTERVENTIONS 2.

What is converged to is a dynamic behavior pattern, not some fixed ‘state’. Such a system will display highly punctuated dynamics almost exactly akin to resilience domain shifts in ecosystems, as described by Eq. 5). 3 Multiple Time Scales Cognitive biological systems can face numerous ‘real’ times. Think of a student riding a bicycle in heavy traffic: proper strategies – generalized languages – across multiple timescales are critical, including those of (1) the immediate traffic pattern, (2) the study time needed for passing exams, (3) the time necessary for advancement in a chosen profession, and so on.

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