Mathematics and biology: a Kantian view on the history of pattern formation theory

Driesch's statement, made around 1900, that the physics and chemistry of his day were unable to explain self-regulation during embryogenesis was correct and could be extended until the year 1972. The emergence of theories of self-organisation required progress in several areas including chemistry, physics, computing and cybernetics. Two parallel lines of development can be distinguished which both culminated in the early 1970s. Firstly, physicochemical theories of self-organisation arose from theoretical (Lotka 1910-1920) and experimental work (Bray 1920; Belousov 1951) on chemical oscillations. However, this research area gained broader acceptance only after thermodynamics was extended to systems far from equilibrium (1922-1967) and the mechanism of the prime example for a chemical oscillator, the Belousov-Zhabotinski reaction, was deciphered in the early 1970s. Secondly, biological theories of self-organisation were rooted in the intellectual environment of artificial intelligence and cybernetics. Turing wrote his The chemical basis of morphogenesis (1952) after working on the construction of one of the first electronic computers. Likewise, Gierer and Meinhardt's theory of local activation and lateral inhibition (1972) was influenced by ideas from cybernetics. The Gierer-Meinhardt theory provided an explanation for the first time of both spontaneous formation of spatial order and of self-regulation that proved to be extremely successful in elucidating a wide range of patterning processes. With the advent of developmental genetics in the 1980s, detailed molecular and functional data became available for complex developmental processes, allowing a new generation of data-driven theoretical approaches. Three examples of such approaches will be discussed. The successes and limitations of mathematical pattern formation theory throughout its history suggest a picture of the organism, which has structural similarity to views of the organic world held by the philosopher Immanuel Kant at the end of the eighteenth century.     

Oscillating chemiluminescence systems: state of the art

Oscillating chemiluminescence (CL) was reported for the first time about 30 years ago. Since then several systems based on addition of a chemiluminescent reagent to a known oscillator system or based on the light emitting features of one component of the oscillating system, have been described. This information, scattered in the scientific literature, is compiled in the present paper. Several oscillating CL systems, including those based on Belousov–Zhabotinskii and Orban oscillators, or horseradish peroxidase‐catalyzed reactions, among others, are critically presented. The application of this type of oscillatory systems is also discussed, in analytical chemistry and for educational purposes. Copyright © 2010 John Wiley & Sons, Ltd.     

Synchronization in two interacting oscillatory systems.

Nonlinear phenomena arising from the interaction of two oscillating systems of chemical reactions are studied experimentally. The system of two connected flow-through continuous stirred tank reactors (cells) with controlled exchange of reaction mixture is used. The Belousov reaction (oxidation of malonic acid by bromate in sulphuric acid with ceric/cerous ions as catalyst) served as model system. The frequency of oscillations was controlled by change of the reaction temperature. Phenomena such as synchronization of oscillations at a common frequency, synchronization at multiples of a common frequency, rhythm splitting and amplitude amplification were observed, depending on the degree of interaction and the differences in the original oscillation frequencies. Mathematical modelling of the above phenomena failed, probably due to insufficient knowledge of a kinetic model.     

Modulation of the shape and speed of a chemical wave in an unstirred Belousov–Zhabotinsky reaction by a rotating magnet

The objective of this study was to observe whether a rotating magnetic field (RMF) could change the anomalous chemical wave propagation induced by a moderate‐intensity gradient static magnetic field (SMF) in an unstirred Belousov–Zhabotinsky (BZ) reaction. The application of the SMF (maximum magnetic flux density = 0.22 T, maximum magnetic flux density gradient = 25.5 T/m, and peak magnetic force product (flux density × gradient) = 4 T²/m) accelerated the propagation velocity in a two‐dimensional pattern. Characteristic anomalous patterns of the wavefront shape were generated and the patterns were dependent on the SMF distribution. The deformation and increase in the propagation velocity were diminished by the application of an RMF at a rotation rate of 1 rpm for a few minutes. Numerical simulation by means of the time‐averaged value of the magnetic flux density gradient or the MF gradient force over one rotation partially supported the experimental observations. These considerations suggest that RMF exposure modulates the chemical wave propagation and that the degree of modulation could be, at least in part, dependent on the time‐averaged MF distribution over one rotation. Bioelectromagnetics 34:220–230, 2013. © 2012 Wiley Periodicals, Inc.     

Calcium ion cyclotron resonance in dissipative water structures

Weak magnetic and electromagnetic fields affect physiological processes in animals, plants, and microorganisms. Ion cyclotron resonance (ICR) is discussed as one of the sensitive mechanisms, which enable perception of the geomagnetic field and its orientation. Numerous biological effects are observed involving several small ions, showing windows of predicted frequencies and intensities. The pioneering work of Guiliano Preparata and Emilio Del Giudice using quantum electrodynamics showed that spontaneously originating coherent regions in water facilitate ICR effects at incoherent water phase boundaries. Here we examine the ICR response of the calcium ion (Ca²⁺), crucial for many life processes. We use an aqueous solution containing the biologically ubiquitous membrane lipid L-α-phosphatidylcholine that serves as a biomimetic proxy for dynamic light scattering (DLS) and nonlinear dielectric spectroscopy (NLDS) measurements. One notable result is that this system approaches a new equilibrium upon addition of calcium by means of the oscillatory Belousov–Zhabotinsky chemical reaction, oscillations are significantly reduced under Ca²⁺ ICR application. Secondly an “oscillator” of calcium ions appears to be able to itself couple coherently and predictably to large-scale coherent regions in water. This system appears able to regulate ion fluxes in response to very weak environmental electromagnetic fields.     

Rearrangement of the morphological structure and degradation of the extracellular matrix in amphibian embryos after short-term disruption of cell contacts

The changes in cell structure of explants of presumptive early gastrula mesoderm of Xenopus laevis and dynamics of extracellular matrix formation has been studied for 6 h after their isolation. After 6 h, control explants of any dorsoventral level turned into dense spheric homogeneous cell clusters. Explants of dorsal and lateral sectors, treated with medium without Ca2+ and Mg2+ for 30 s, bent and separated into several layers, and in ventral sector explants, cavities, surrounded by polarized cells, arose. In control explants, the amount of extracellular matrix on the surface and in intercellular spaces increased, and in the experimental explants, extracellular matrix disappeared and was not observed for several hours. Previously described differential transformations of the treated explants (Georgiev, Belousov, 1986) are supposed to be determined by extracellular matrix degradation and the degradation-associated complications of cell structure of the explant.     

A specific fluorescence probe for hydrogen peroxide detection in peroxisomes

Hydrogen peroxide is an important mediator in cell signalling and cell death. Apart from the mitochondrion the peroxisome is the most important cellular site for the generation and scavenging of hydrogen peroxide. Peroxisomes contain various oxidases, e.g. for the metabolism of long-chain fatty acids, polyamines, and for the oxidation of urate, which form hydrogen peroxide. Widely-used chemical probes for the detection of hydrogen peroxide like dichlorofluorescein diacetate (DCFDA) often lack in specificity and the possibility of compartment-specific measurement. To overcome these disadvantages, Belousov et al. developed the novel hydrogen peroxide sensitive fluorescent protein HyPer. In the present study the HyPer protein was fused with the PTS1 tag for a specific hydrogen peroxide detection in peroxisomes. The localization of the HyPer protein in the peroxisomes was confirmed by immunofluorescence and the functionality by fluorescence microscopy and flow cytometry analyses. The presented HyPer-Peroxi fluorescent protein is a valuable tool for studying hydrogen peroxide generation within the peroxisomes.     

Perturbation of the tris(2,2′‐bipyridine) ruthenium(II)‐catalyzed Belousov–Zhabotinsky oscillating chemiluminescence reaction by l‐cysteine and its application

Perturbation of the tris(2,2′‐bipyridine)ruthenium(II) [Ru(bpy)₃²⁺]‐catalyzed Belousov–Zhabotinsky (BZ) oscillating chemiluminescence (CL) reaction induced by l ‐cysteine was observed in the closed system. It was found that the CL intensity was decreased in the presence of l ‐cysteine. Meanwhile, oscillation period and oscillating induction period were prolonged. The sufficient reproducible induction period was used as parameter for the analytical application of oscillating CL reaction. Under the optimum conditions, the changes in the oscillating CL induction period were linearly proportional to the concentration of l ‐cysteine in the range from 8.0 × 10^?7 to 5.0 × 10^?5 mol L^?1 (r = 0.997) with a detection limit of 4.3 × 10^?7 mol L^?1. The possible mechanism of l ‐cysteine perturbation on the oscillating CL reaction was also discussed. Copyright © 2009 John Wiley & Sons, Ltd.     

Large enhancement of oscillating chemiluminescence with [Ru(bpy)3]2+‐catalyzed Belousov–Zhabotinsky reaction in the presence of tri‐n‐propylamine

Oscillating chemiluminescence enhanced by the addition of tri‐n‐propylamine (TPrA) to the typical Belousov–Zhabotinsky (BZ) reaction system catalyzed by ruthenium(II)tris(2.2'‐bipyridine)(Ru(bpy)₃²⁺) was investigated using a luminometry method. The [Ru(bpy)₃]²⁺/TPrA system was first used as the catalyst for a BZ oscillator in a closed system, which exhibited a shorter induction period, higher amplitude and much more stable chemiluminescence (CL) oscillation. The effects of various concentrations of TPrA, oxygen and nitrogen flow rate on the oscillating behavior of this system were examined. In addition, the CL intensity of the [Ru(bpy)₃]²⁺/TPrA–BZ system was found to be inhibited by phenol, thus providing a way for use of the BZ system in the determination of phenolic compounds. Moreover, the possible mechanism of the oscillating CL reaction catalyzed by [Ru(bpy)₃]²⁺/TPrA and the inhibition effects of oxygen and phenol on this oscillating CL system were considered. Copyright © 2012 John Wiley & Sons, Ltd.     

Reactive oxygen and nitrogen species: Friends or foes?

Chemical and physiological functions of molecular oxygen and reactive oxygen species (ROS)and existing equilibrium between pools of pro-oxidants and anti-oxidants providing steady state ROS level vital for normal mitochondrial and cell functioning are reviewed. The presence of intracellular oxygen and ROS sensors is postulated and few candidates for this role are suggested. Possible involvement of ROS in the process of fragmentation of mitochondrial reticulum made of long mitochondrial filaments serving in the cell as electric cables, as well as the role of ROS in apoptosis and programmed mitochondrial destruction (mitoptosis) are reviewed. The critical role of ROS in destructive processes under ischemia/reoxygenation and ischemic preconditioning is discussed. Mitochondrial permeability transition gets special consideration as a possible component of the apoptotic cascade, resulting in excessive ROS induced ROS release.Translated from Biokhimiya, Vol. 70, No. 2, 2005, pp. 265–272.Original Russian Text Copyright ¢ 2005 by Zorov, Bannikova, Belousov, Vyssokikh, Zorova, Isaev, Krasnikov, Plotnikov.This revised version was published online in April 2005 with corrections to the post codes.     

H.J. Muller's contributions to mutation research

H. J. Muller is best known for his Nobel Prize work on the induction of mutations by ionizing radiation. Geneticists are less familiar with his contributions to mutation and how he related the process of mutagenesis to the gene and distinguished gene mutations from other genetic and epigenetic events such as polyploidy, chromosome rearrangements, and position effects. The hallmark of Muller's contributions is his design of genetic stocks to solve genetic problems and allow experimentation to reveal new phenomena. In this review I relate Muller's personality to his teaching and research and present a history of Muller's ideas on mutation from his first days in Morgan's fly lab to his final thoughts on what became called “Muller's ratchet”, a term he did not get to enjoy because it was coined seven years after his death.     

Evolutionary Morphology in Belgium

In historical literature, Edouard van Beneden (1846–1910) is mostly remembered for his cytological discoveries. Less well known, however, is that he also introduced evolutionary morphology – and indeed evolutionary theory as such – in the Belgian academic world. The introduction of this research programme cannot be understood without taking both the international and the national context into account. It was clearly the German example of the Jena University that inspired van Beneden in his research interests. The actual launch of evolutionary morphology at his University of Liège was, however, also connected with the dynamic of Belgian university reforms and the local rationale of creating a research “school.” Thanks to his networks, his mastering of the rhetoric of the “new” biology, his low ideological profile and his capitalising on the new academic élan in late-19th century Belgium, van Beneden managed to turn his programme into a local success from the 1870s onwards. Two decades later, however, the conceptual underpinnings of evolutionary morphology came under attack and the “Van Beneden School” lost much of its vitality. Despite this, van Beneden’s evolutionary morphology was prototypical for the research that was to come. He was one of the first scientific heavyweights in Belgium to turn the university laboratory into a centre of scientific practice and the hub of a research school.     

Analysis of Your Professional Liability Insurance Policy

The most important lessons for the physician to learn in regard to his professional liability insurance coverage are the following:1. The physician should carefully read his professional liability policy and should secure the educated aid of his attorney and his insurance broker, if they are conversant with this field.2. He should particularly read the definition of coverage and carefully survey the exclusion clauses which may deny him coverage under certain circumstances.3. If the physician is in partnership or in a group, he should be certain that he has contingent partnership coverage.4. The physician should accept coverage only from an insurance carrier of sufficient size and stability that he can be sure his coverage will be guaranteed for “latent liability” claims as the years go along—certainly for his lifetime.5. The insurance carrier offering the professional liability policy should be prepared to offer coverages up to at least $100,000/$300,000.6. The physician should be assured that the insurance carrier has claims-handling personnel and legal counsel who are experienced and expert in the professional liability field and who are locally available for service.7. The physician is best protected by a local or state group program, next best by a national group program, and last, by individual coverage.8. The physician should look with suspicion on a cancellation clause in which his policy may be summarily cancelled on brief notice.9. The physician should not buy professional liability insurance on the basis of price alone; adequacy of coverage and service and a good insurance company for his protection should be the deciding factors.     

Sir William Osler revisited.

The basis of Sir William Osler''s fame is elusive to almost all and the appropriateness of such recognition is questioned by many. His many contributions as a practitioner, teacher, writer, and scientist in medicine do not adequately explain his prominence 60 years following his death. It was his participation in the covenant of medicine and the special components of that relationship that may account for his hold on his followers today.     

The Context of Ecosystem Theory

Arthur George Tansley's paper “The Temporal Genetic Series as a Means of Approach to Philosophy,” published here for the first time, provides the philosophical context for the development of his ecosystem theory. His rejection of idealist reasoning, his concern with ethics, and his long standing interest in Freudian psychology as well as mechanistic reasoning comprised the intellectual underpinnings for his thinking on systems and ecosystem theory.     

Early Ethnographic Film in Britain: A Reflection on the Work of Christoph von Fürer-Haimendorf

A brief history points up the relative scarcity of ethnographic film made by British anthropologists in the 20th century. The reasons for this were the difficulty and expense of filmmaking until recent years, and a theoretical disinterest in filmmaking, leading to a limited opportunity to capture visually the last tribal worlds. The importance of Fürer-Haimendorf's collection of films thus stands out. The conditions which made his work in India, the North-East Frontier and Nepal possible are discussed, with an outline of his filming and written ethnographies. Why was he interested in film? Fürer-Haimendorf's technical ability with film and photography combined with an emotional sensibility are key. Not fully a man of his time, he avoided the abstract and anti-materialist phase in anthropological theory. An interview with Fürer-Haimendorf and his views on film are presented; and we see that the role of Betty Fürer-Haimendorf was crucial. We conclude with a brief consideration of his attitudes and, in his later life, the role of the BBC and the professionalization of anthropological filmmaking.     

Linnaeus's natural and artificial arrangements of plants

Linnaeus's artificial and natural arrangements of plants are examined using a Spearman rank coefficient (which is explained) on his presentations of his own and others' arrangements in the Classes plantarum and elsewhere. There is little alteration in his successive artificial arrangements. In contrast, between 1751 and 1764 his natural arrangements changed considerably, partly in the sequences of genera within orders but mostly by rearrangement of the orders. Comparison with Cesalpino's and Ray's natural arrangements, using the longest-recognized natural groups as signposts, suggests that Linnaeus in his latest natural arrangement (1764) approximated more closely to Ray's. Examination of Linnaeus's successive treatments of certain groups (palms, Zingiberaceae, Hydrocharis-Stratiotes-Vallisneria) and of Giseke's exposition of Linnaeus's lectures on natural groups (1792) shows that Linnaeus was much influenced by habitus and vegetative characters as well as those of the fructification. He recognized orders consisting of a chain of genera linked successively by overall affinity and without any single diagnostic character. Where possible, he preferred characters of the fructification and his ‘secret’ consulting of the habitus is explained as secondary to such characters. It is suggested that in his latest arrangement he approximated more to a scala naturae, as he probably did in zoology about the same time. Within his artificial arrangements Linnaeus kept to sequences of genera as natural as possible. He realized that some groups in his natural arrangements were still artificial, and his aphorism that all genera and species are natural, classes and orders part natural and part artificial, refers to his and others' practice until the natural system could be completed. It is not a statement of the essential natures of these ranks. Linnaeus's distinction in practice between natural and artificial arrangements was less clear-cut than Sachs believed. Linnaeus's rejection of the ancient tree/herb division was empirical, not a reasoned repudiation of an a priori grouping. The tree/herb division could be upheld in his day as obviously natural, not merely accepted on authority.     

From Darkness to Light

Not so long ago I happened to treat a Jewish eighth-grade gymnasium student brought to Petrograd from a province. It was fall and the following spring he was to take his qualifying examinations. The young man, who belonged to a prosperous family, had brilliant abilities and graduated from each class with excellent grades—what would you think his illness was? He suffered—in his own words—from the throes of creative writing. Days and nights he poured over a notebook with his compositions in search of the best form to express his thoughts. Only after applying incredible efforts could one tear him away from his note-books and send him to bed at five or six o'clock in the morning, and this happened on a daily basis. With each day his mental health grew worse. It was clear that the young man undermined his health by overstudying, and that he had reached the point where he needed to worry about his health, not his studies, because a serious mental illness was descending upon him. The young man was well liked by everyone in his high-school. The teachers considered him the best student, and having learned about his illness, they promised to petition to grant him the right to graduate from school without the final examination and with a certificate of excellent. But none of that helped. The young man could not relax, spending days and nights over his compositions and constantly tormenting himself with his "throes of creative writing."     

Informed Consent in California: Latent Liability Without `Negligence'

Informed consent is a legal obligation due from a physician to his patient, an obligation which may not be met by the physician''s skillful treatment of his patient. It may only be met by the treating physician obtaining from his patient knowing authorization for carrying out the intended medical procedure. The physician is required to disclose whatever would be material to his patient''s decision, including the nature and purpose of the procedure, and the risks and alternatives. The disclosures should be made by the physician to his patient, and not through use of consent forms which are not particular to individual patients. To minimize any subsequent claim by the patient that there was a lack of adequate disclosures, the physician should record in the patient''s chart the circumstances of the patient''s consent, and should not rely on the patient''s unreliable ability to recall those circumstances.     

Interactions among adult males and females before and after the death of the alpha male in a free-ranging troop of Japanese macaques

This report documents the social interactions among adult Japanese macaques in a free-ranging troop before and after the death of the alpha male, who died at 28 years of age after occupying his rank position for 17 years. The alpha male’s physical condition had deteriorated due to his extreme age for several months before his death. However, he maintained his alpha position. When he was attacked by the second-ranking adult male, he was rescued by the alpha female. Thereafter, whenever the second-ranking male approached him, the alpha male screamed for the alpha female’s support. The number of adult females to whom the alpha male maintained proximity during his last four months was similar to that during the same period of the previous year. Prior to his death, the alpha male was observed in close proximity to the alpha female much more frequently than was the second-ranking male. These results indicate that the alpha male maintained his position by depending on female support and particularly that of the alpha female.