The Annals of Exploratory Science
1) Principle - Recognition of the fact - that at any scale the biological substance (medium, tissue, sample), a cell or sub-cellular organelles are the Polyphase Polyscale Heterogeneous media. At atomic scale, larger scale, or at some of the continuum scales.
2) Principle - Recognition of the fact - that the structure and the specific "phase" content in a volume with biomedium are the fundamental facts controlling the function of the biomedia along with the environmental (boundary) conditions.
3) Principle - Recognition or knowledge that - in this consideration the polyphase, polyscale studying of the subject - the biomedia sample, tissue, or the sub-cellular structure, organelle, for example, is the most accurate and revealing way of obtaining the facts, conclusions. This was and is one of the main methods - the reductionism (with inseparable up-scale the holism approach) to study the nature by physical and biophysical methods so far for many centuries.
4) Principle - Recognition or knowledge of the fact - that for studying the polyphase matters, media the only correct way is to use the discovered in 60s - 80s methods, theorems of Hierarchical physics and mathematics: Hierarchical Scaled Physics - Volume Averaging Theory, those specifically were created and tuned throughout the last 40+ years for polyphase polyscale physical, biological matters. Of many other methods suggested for the Heterogeneous media theorizing, modeling and understanding, up to this time there is no one more fundamental and/or correct.
We won't discuss or comment on numerous schemes suggested for heterogeneous, physical, biological polyphase media in the last ~100 years, as the mixture theory, for example, because they openly use an inadequate or truly simplified physical and mathematical description of the problem. We also published numerous analytical texts in hard copy and the web publications on this issue.
This fact is not objected or disputed by any professional, openly at least, for the last ~30 years. The complexity and educational policies are preventing professionals to acquire and employ the tools of HSP-VAT.
One of the examples is the use of Gauss-Ostrogradsky (GO) theorem for deduction of governing equations for nearly 200 years in physics and other sciences. This theorem is valid only for a Homogeneous matter, that most of biologists even do not know and acknowledge. In hierarchical mathematics there are many alike theorems for the same purposes that have been developed and used during the last 40 something years.
5) Principle of Physical "Holism" (PPH): A living entity (cell, bacterium, tissue, organ, etc.) should be considered as a system of no "open" physical omission. Meaning - THAT NO ONE FUNCTION, PHYSICAL MECHANISM, PHENOMENON MAY BE OMITTED FROM THE SET OF PROCESSES, PHYSICAL PHENOMENA THAT ARE PRESENT AND VITAL FOR FUNCTIONING OF THIS LIVING ENTITY - MAMMALIAN CELL, PROCARIOTIC CELL, PROTOZOA, SUB-CELLULAR STRUCTURE, A TISSUE WITH LIVE SUPPORT EXCHANGE, ORGAN, ORGANISM.
According to this principle, biologists may not omit in their research, theoretical reasoning, modeling for the reasons of convenience, resource availability, any "reasonable" grounds to save money and/or labor, any known and important for functioning of live entity physical mechanism. As - no omission of phenomena occurring with soft solids, solids and fluids, polyfluids, particles in fluid, scaled fluids, elasticity of solid and soft solid biomedia, mass, energy, heat, momentum, electromagnetism describing phenomena, wave mechanics while studying, modeling, experimenting with the live systems.
Simply because all of the physics mechanisms of known character are participating in functions of the live subject and inseparable from the other functions or mechanisms.
The only admissible path in studying is to substitute the omitted phenomena by the simulating part of the same physical character with principally the same effectual action.
Hierarchical Polyphase Polyscale Concepts for Biomedia Modeling
1) There is no physical phenomena, process, act that at the determined scale is not of the Volumetric character or is not consciously or sub-consciously understood and/or modeled with the Averaged phenomena of the sub-scale. Any point-like experiment or method, theory is about for accepting at first the premise that the point is formed by/after somehow averaging of the forces/movements/reactions etc. of the below scale physics. Mostly it is done implicitly, even sub-consciously, but this premise is ALWAYS present. The Top-Down sequence of physical phenomena is more accurate down to the sub-atomic scale particles, an aether in between the particles and some pertained to them phenomena.
2) Any Heterogeneous media (Ht) biological sample is in reality a two scale, at least, physical entity that have continuous (meso-scale might be and often is not already continuous, but having discontinuous surfaces, dislocations and other imperfect solid state features) transport, physical field processes of a physical volumetric (averaged at some point) character.
3) Any mammalian, plant biomedium, tissue sample or cell or bacterial live cell in reality is a polyscale constantly with continuous transport processes physical volumetric (averaged at some point, not a "point") object (entity), that constitutes a challenge for theorizing and modeling its biological functions.
4) It is not correct to study, model and make valuable definitive conclusions about the biomedium function when using only one scale physical and biological phenomenon(a) in a biosample taken into account. This is the situation now in biology and medicine. Contemporary experimental biological, medical investigations lack ground and fundamental science, while applying the chemical reactions examination. Chemistry is itself of low understanding of integrative biomolecular mechanisms in a biomedium, tissue, cell, etc.
5) The scale models constitute the separate spatial and temporal physical and mathematical models describing the functions of transport on the scale dependent phenomena in a biomedium.
6) Scale dependent physical (biophysical), mathematical models are inherently communicative Up-and-Down the scales. The scale communication of physical properties has been named as a scaleportation of properties and characteristics in HSP-VAT.
7) It is possible to commute the physical models and medium's properties at the neighboring scales of the biomedium with mathematical strictness using methods developed in HSP-VAT.
8) Each scale developed Homogeneous models in a Ht medium based on Homogeneous presentation of this scale physical definitions and the field's governing equations can be connected more or less mathematically strictly to the neighboring next Up-scale or Down-scale models only (most strictly) via using the interscale mechanisms of HSP-VAT.
9) The polyscale depiction of biomedium's functions, transport, models is the only correct approach for theoretical modeling and simulation, for experiments data reduction when the subject of analysis, theory, model, experiment is the polyscale physically object with the nature prescribed polyscaling of function - as the biological cell, cellular volume, tissue sample, etc.
10) Any Homogeneous biophysical substance, biomedium, tissue or cellular sample is in reality also of the two scale, at least, the physical entity that have molecular, atomic, sub-atomic and continuous description of transport, physical field processes of a physical volumetric character. The averaging and scaleportation of molecular scale transport and phenomena Up- to the Continuum (one of the continuum) scale phenomena and Down- to the molecular, atomic scale, should be used with application of correct Hierarchical mathematics of discontinuous "broken" physical fields.
11) At present, in the last approximately ~30 years all the main physical fields, definitions and homogeneous governing equations have been reformulated and upgraded using methods of HSP-VAT for acting in the heterogeneous subject matters, for Heterogeneous media of solids, solids and fluids, polyfluids, particles in fluid, scaled fluids, elasticity of solid and soft solid media, mass, heat, momentum, electromagnetism describing phenomena, wave mechanics, acoustical fields in Heterogeneous Continuum and sub-atomic particulate media. That is now making available the polyscaling in the description and modeling the most obvious and important transport (live) phenomena in a biological medium.
12) Advancements in the last ~30 years in Hierarchical Scaled Physics - Volume Averaging Theory (HSP-VAT) allowed to surpass inadequate, incomplete one scale homogeneous theories for averaging (mixing), "bulk" representing theories, scaling, scaleportation in almost every field of physics and biology. Now we can formulate the true polyscale Dynamics theories and models for biological objects and processes, Heterogeneous and polyscale by nature and fact.
13) None of the concepts written above is on the lists of "advanced" programs formulated in the recent years (and in "new" formulations of disciplines) in academic, university, government programs. And that is a signal of misleading development in the contemporary conventional Biology.
P.S. Starting from the 2011 year of proposal applications cycle, any proposal that would have content reminding these concepts will be considered as of some plagiarized nature, if not describing and mentioning the origins of these present sources, published texts and names.
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Any information displayed here is the propriatary information in the area of "Concepts: HSP-VAT Conceptual Vision and Methods Applied to Biology."
This is also the well known problem - still can not be solved within the Homogeneous One-Scale Biology.
