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Biomimetic Chronobiology

Otto H. Schmitt


On October 1, 1989

Chronobiology: the biology of time, has had a difficult path to becoming a legitimate, important and widely understood portion of algorithmic, scientific theory, research, development, application and even philosophy. This difficulty is largely due to our widespread impression that we all understand time intuitively, and only need to have our intuitive impressions quantitated with readily available physics and engineering mathematics and technology. It is closely related to our false confidence in the old adage "Seeing is Believing" where we now know how much of our visual "Perception Screen of Reality" is faked and filled in with our preconceived impression of what is "out there" tied in at a relatively few sample points to our saccadic or tracking retinal images, which are themselves systematically preprocessed before being allowed to become visual reality. Scientifically we are at fault for continuing to use the term "Time" ambiguously to describe the well ordered sequence of macro and micro events in slow (compared with the velocity of light C) Newtonian physical frames of reference, and the very different and most untimely and confidently perceived conscious and subconscious biological passage of "time". Years ago I introduced the term "Happening" as a makeshift term for this biological entity in developing the "H" transform as a biomimetic entity, and shall use it until a better term arises. The "H" transform revolves about the idea that is firmly established in our intuitive consciousness that biological time or "happening" is an irreversible sequence of events, paced by an autonomous, internal "zeitgeber" that meticulously beats out the moment by moment progression of biological time that we have innocently assumed to be in step with clock time, and which we tend to expect to be in pace with another person's time beat. Decades ago we learned that many biological processes are time dependent in an orderly way, relating to a logarithmic scale proportional to the reciprocal of absolute temperature, yielding a characteristic and a thermodynamic activation energy that might be biochemically significant. While biological time processes do in many cases follow this rule, some are nearly temperature independent, either by compensation or basic independence. We know very well, however, that biological time does not depend merely on temperature or, indeed, other environmental features. The quota of biological time (or happening) that is fed regularly into the conscious and subconscious perceptorium can find itself invested in temporal or spatial on goings in the conscious mental processes or in the subconscious or autonomic systems or even in the dream domain, and these "happening" sequences need not be phase coherent, one with the other. The H transform is a simple algorithmic manipulable tool to approximate the biological time process. We start with a simplistic four dimensional biological time world of three orthogonal spatial dimensions of matching scale to incorporate the common X, Y, Z spatial dimensions and a fourth T dimension, scaled in an Einstein honoring fashion with C to incorporate the speed of light correction. We now move the T term to the left side of the equation leaving dx2+dy2+dz2+c2dT2=dH2. Action in the X,Y,Z spatial domain must be paid for by a decrease in T, the clock time component, to remain within the budget of increasing Happening. This relationship works well for understanding how "time flies" when one is busy or enjoying current action, but hangs heavy on one's hands when bored or pursuing tiresome or unattractive work. The H transform was only a small start, however, toward realizing the power of the Three Quadrature Transform compaction algorithms. If we take only the derivative term and treat it as a finite difference variable X/ T we come up with a remarkably useful compaction form. In recording biological and other time series data for subsequent or real time analysis, we are frequently frustrated by the enormous amount of data that must be recorded noting the value of the function at each very short increment of time. If we are recording bioelectric data, for example, as I have frequently had to do, one may very well need to record, with a precision of 10 micro volts or better, a signal with a span of at least 10 millivolts or 1000 values of the ordinate, with a time resolution of at worst 1 millisecond. This accumulates data at a rate 1000 x 1000 or 1 million states per second. One minute of this, not to mention a day long recording, can be overwhelming. By inverting this series in a distant relative of the Fourier transform, one can declare a JND, Just Noticeable Difference, as for example the 10 pvolts and 1 millisecond increment as mentioned, and now never record the value of the variable at all, except for a given starting point, and record only an increment of 1 JND with a sign bit to imply that it "happened" up or down, and a time record of how many JNDs it was since something happened before without loss of precision or accuracy. During long periods of inaction, nothing at all gets recorded, and during frantic changes one simply records ups and downs at the limiting slew rate as a useful approximation to a step function that will not lose track by saturation. This device has been used to good purpose in recording of animal activities such as birds in nests and rodents in burrows where there are long periods of absence or sleep. It's done well even for the electro cardiogram and vector cardiogram where the QRS must be detailed while the T and U systems may be compacted. We have found that another biomimetic nonlinear compaction algorithm utilizing the shape of the trigonometric arc tangent function is nearly ideal. Near the origin or base value the arc tan is nearly equal to the function itself in basic radian measure but the function flattens to an asymptote for infinity so it can never saturate but only lose detailed resolution. Returning now to the features that lead to the very powerful general biological three quadrature transform and its extension into Hierarchical Biological Control and Regulation, let us follow one strand that leads to early technical utilization of the three quadrature algorithm. When we first started to record quantitatively the time course of the nerve axon potential and its components, we were working near the limits of photographic recording speed with newly available sealed off cathode ray tubes operating with 300-400 volts of electron acceleration and the fastest camera lenses and film available, sometimes resorting to pre-exposure sensitization of the film by vapor treatment. We were exasperated by the dimming of the beam record during rapidly changing phases of the action potential because exposure time was decreased by as much as 20 fold. Devising the R-C electronic differentiation circuitry, and making it scalar rather than vector by diodes, allowed us to brighten the cathode ray beam in proportion to the derivative of trace speed, to give something near constant brightness pictures, even though the up and down stroke sharpness suffered a bit. It was only a small technical step to devise the inverse function integrator circuit to implement the first major use of the three quadrature principle to construct a device'irStich deliberately synthesized three quadrature components. This device, applied to an intrinsically very sensitive galvanometer constructed for me by A. C. Downing, allowed us to knob-adjust plus or minus, the personality of the galvanometer used to record millisecond details of the thermal response of nerve and muscle to electrical stimuli, resolving the response to micro degree level. Separate knobs adjusting individually the terms of the second order differential equation to which the galvanometer corresponded closely, allowed one to adjust the suspension spring constant 0 terms, the viscosity and electric damping 0 terms and the 0 moment of inertia term, plus or minus to any desired level. Actually one could introduce negative moment of inertia or damping with hilarious results, and one could easily reach near infinite sensitivity with accompanying appearance of Brownian motion and environmental residual noise. This fundamentally new and widely applicable class of control was published with full documentation in the Journal of Scientific Instruments, Vol. 15, No. 7, July 1938. In April of this year the IEEE journal Spectrum published an article written by one of its associate editors, Glenn Zorpette, hailing the discovery of this principle by a David B. Parkinson, as applied to the design of a gun director. I could not resist sending him a copy of the published reprint anticipating this "discovery" by some two years. I have never received a reply from him, but an edited version of my letter was published in the letters-to-the-editor column. The Three Quadrature Transform has now become required learning in modern control engineering where it goes by the PID acronym for Proportional, Integral, Derivative principle. , but the Biomimetic aspect still has far to go. This is perhaps the time to introduce into Biomimetic Chronobiology, in a very simplified way, the first whisper of the grandiose Brain-Mind-Spirit and even Soul domain into which it slowly intrudes. While utilizing in its function form the notions of Chronodifferentiatian and Integration electronically, it became evident that the R-C model was adequate on an engineering approximation basis where the current in the circuit was determined by E, the voltage divided by R according to Ohm's law. The little voltage across the capacitor could be neglected with an error of only a few percent. Likewise in the differentiator the current in the sample resistor was primarily determined by the capacitor with small admittance compared with the resistor. Here was a fine place to apply for a first time the feed-forward principle, that lagged far behind the acceptance and application of feedback theory, primarily negative but increasingly utilizing the positive. By utilizing our knowledge that the error term would be just that caused by potential drop across the sample resistor R, we can dynamically sample that voltage and feed forward into the integrator or differentiator signal, an addetidum just equal to the error, and in a compensating sense so as to have exact differentiation and integration. This principle and its implementation was published jointly with my student, D. R. Dubbert, in Review of Scientific Instruments, Vol. 20, No. 3, page 170, March 1940. The principle is widely employed by biological organisms in applying stored experience corrections to bodily movements and future plans, and employs the three quadrature principle freely, even to the point of almost robotic actions without conscious thought in many of our most sophisticated skilled actions. The three quadrature compaction strategy is so basic and widely applied biologically that we are essentially unaware of its power, and actually give it a complicated dissected up character in standard sensory physiology. If we examine any of the numerous sensory transducers that keep us in touch with the external world and the internal world as well, we find that without fail, they report on the current value of their variable such as light intensity, sound pressure, strength of smell or taste. With rare special exceptions, they all accommodate, acclimate, and in doing so reduce the intensity of their signal. Given a small increment, they report this with extra generous signal, and even extend this confusion spatially or in frequency domain, giving us, when biologically unified, one of the very smart parts of biological pattern recognition. What does all this add up to? The biotransducer has discovered that by making a scaled, properly dimensioned mix of the function of time, the derivative of the time function, and the scaled time integral of the function, be it sound, heat, light, motion or force, it yields a mathematically or biologically deconvolutable value of very concentrated information. Only a sample starting point (constant of integration) is needed to allow running three quadrature interpretation and feedback, feedforward, and as we shall see later, feed-up and feed-down. A mathematically trained physicist or engineer will often spend quite a while convincing himself or herself of the legitimacy of this compaction principle, as it is not commonly taught in these circles as an axiomatic concept. We now approach the consolidation of the Three Quadrature Compaction algorithms, the Hierarchical intrinsic structure of all biology, the Recapitulation Principles as they impact the now widely studied Circadian Chronobiology, and continue into Biomimetic episodal Chronobiology. Biological processes are, to a very large extent, systematically repetitive; organisms reproduce themselves, cells reproduce cells, families reproduce families and communities replace their members in a repetitious but not really periodic fashion. We know that many human processes repeat at about 24 hour intervals; or at integral or at sub integral multiples of 24 hours. They are circadian. Free running they may operate on perhaps 23 or 27 hour cycles, pulled into near sync by environmental influences such as light, sound, temperature, hunger, etc. The idea of periodic cyclicity is so dominant that the biologically better matching episodality has been neglected. Biological sequences repeat themselves time and time again in rhythmic, nearly repetitious style but never quite periodic. Just as vibrato and syncopation give life to a musical presentation, but go on to discord when overdone, so does episodal modulation permit adjustment, feature matching and nuances to repetitive processes and other coupled sequences, but goes on to pathology when overdone. If we adopt the "episode" as the biological time unit, then the patterns that can be computer averaged to discover the intrinsic pattern must be phase modulatable. We can do well to replace the cyclic phase in our thinking by the characteristic "template" phase that need not be assembled from low sinusoidal "harmonics". It may have sharp peaks or deep valleys and interesting intermediates. These templates may be important, for example, in determining drug timing. This is a very fruitful area of research to extend the prevailing "cosinor" analysis. Biomimetic examination of chronobiological events inevitably leads to examination of systematic and specific causality; what makes this happen and why biophysically? This is the domain of control theory and its varied models for which, in the earlier part of this discussion we have just developed a rich resource and lexicon. For almost two centuries we have been discovering regulatory and control principles and strategies in the engineering and physics domains, only to rediscover the same concepts later and in different terms in the biological world. Perhaps we should reverse this sequence and lead engineering and physical science with new major strategies based on long known, if poorly understood, biological information. A simplistically correct concept can often delay seriously the advance to next stages, and this is unusually appropriate in Chronobiologically related control and regulation theory. The idea of "Set Point" regulation hit engineering with James Watt's steam engine fly ball governor. One set the balls for a desired speed, and then gravity and centrifugal force competed to set the steam valve to the desired value. Perhaps the engine did tend to "run away" or "hunt" if the regulator was made too sensitive, and perhaps the engine slowed down a bit when load increased, but this was a small price to pay for good utility regulation. Think of all the thermostats, barostats and auto cruise controls that still share this shortcoming. Early in the century, biology and/or medicine discovered this big principle and Homeostasis, as epitomized by Walter Cannon in his Wisdom of the Body, became the new ideal that would "explain" biological stability from body temperature, blood pressure, to pH. In both the engineering and the biological cases the homeostatic model falls short and must be replaced by a homeodynamic model, also called a cyber physiological model, that recognizes a moving target of ideality. Engineering is far along its way with this idea under the general title of servo regulation, now learning about useful non-linearity, but biology is just learning its benefits for incorporating feedback and feed-forward into robust stability. If we wish to remain leaders in this Biomimetic mission to understand biological supervision, we must be experimenting and seeking quantitative understanding and expression for the next hierarchy of ideology beyond homeodynamic-cyber physiological imagery. The key to this domain lies in dynamic reprogrammability of the strategies and priorities of homeodynamic approach, with introduction of heuristic line and staff command structures, a region being vigorously pursued, with relatively poor biomimetic startup information, by our neural-net computer architecture friends. We know full well from the remarkable advances and some failures now being made under the title of Psychoneuroimmunology, as well as mentally and spiritually aided healing, that our mental control system has fantastic abilities and hidden resources to which we need primarily the mental password to advance and enhance ordinary physiology, pharmacology and surgical medical treatment. By introducing new strategies in chronobiological and psychobiological guidance, we can hope to make commonplace, Chronobiologically restructuring procedures whereby the subconscious, the conscious and even the super-conscious can be phase coordinated toward an optimum. In our own little world of VCRS (Voluntary Cardio Respiratory Synchronization), where we take a procedure originally intended only to give a stationary dynamic coherency between the cardiac and respiratory processes to yield a precise "Epitome Vectorelectrocardiogram", which it did very well, we now realize that we have a clinical tool that is an entering wedge into voluntary autonomic reprogramming and possibly even further psychiatrically applicable procedures. With a fast computer we can analyze the autonomic "template" of vagus cardiac control as a projection of autonomic time and respiratory condition. By demystifying the mathematically complex procedure by computer-converting the personal template into a readily understood "Song of the Heart", the patient can use this tool as a procedure to alter favorably a faulty or less than optimal pattern. Arrhythmias and control gain are first targets but only a start to gaining access to the central control station. These modifications can be made without deep understanding by simply "willing" the pattern of song to change in a desirable direction (when we have learned enough to offer this advice). Even beyond this intrinsically Biofeedback procedure, we can utilize the biofeedforward strategy in which the song can lead rather than follow the patient's own pattern. Most recently we have been designing and trying to bring into operation, with very limited resources, a new version of VCRS - the Baby VCRS and its companion, the Baby Teletransducer. These devices, reduced to the size of a small "hang on the belt" pack, will contain both the CPU and auxiliary processing electronics and a recording unit, probably a stereo micro-tape recorder utilizing audio frequency coding combined with vocal recording capability. How far this Biomimetic-Chronobiological project will go and how fast is simply a challenge to our ingenuity, marketing ability and tenacity.