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Friday, May 6, 2022

History of Christian universalism

From Wikipedia, the free encyclopedia
https://en.wikipedia.org/wiki/History_of_Christian_universalism

In Christian theology, universal reconciliation (also called universal salvation, Christian universalism, or in context simply universalism) is the doctrine that all sinful and alienated human souls—because of divine love and mercy—will ultimately be reconciled to God. The doctrine has been rejected by most mainstream Christian churches, which tend to maintain at least the possibility that many are not saved, but it has received support from many prestigious Christian thinkers as well as many groups of Christians. It has been argued that the Bible itself has a variety of verses that seem to support a plurality of views.

Universal salvation may be related to the perception of a problem of Hell, standing opposed to ideas such as endless conscious torment in Hell, but may also include a period of finite punishment similar to a state of purgatory. Believers in universal reconciliation may support the view that while there may be a real "Hell" of some kind, it is neither a place of endless suffering nor a place where the spirits of human beings are ultimately "annihilated" after enduring the just amount of divine retribution.

The concept of reconciliation is related to the concept of salvation—i.e., salvation from spiritual and eventually physical death—such that the term "universal salvation" is functionally equivalent. Universalists espouse various theological beliefs concerning the process or state of salvation, but all adhere to the view that salvation history concludes with the reconciliation of the entire human race to God. Many adherents assert that the suffering and crucifixion of Jesus Christ constitute the mechanism that provides redemption for all humanity and atonement for all sins.

Unitarian Universalism is a religious movement which emerged in part from the Universalist Church, but it no longer holds any official doctrinal positions, being a non-creedal faith. Universal reconciliation, however, remains a popular viewpoint among many congregations and individual believers including many that have not at all associated with said church.

An alternative to universal reconciliation is the doctrine of annihilationism, often in combination with Christian conditionalism. Some Christian leaders, such as influential theologian Martin Luther, have hypothesized other concepts such as "soul death".

Biblical background

As David Fisher, a bishop and professor of philosophy has put it, "In the final analysis, the question of salvation is always an inquiry into the balancing of human free will with God's mercy and forgiveness." The Bible itself has, as referred to before, a variety of verses on the subject that appear to be contradictory if not given additional reader interpretation. Influential theologians Emil Brunner and J.A.T. Robinson argue that these verses can be put into two distinct categories: damnation for some or eventual reconciliation for all.

The traditional view held by Christian organized religion comes from a variety of Biblical citations. It is stated in John 3:36 (NIV), "Whoever believes in the Son has eternal life, but whoever rejects the Son will not see life, for God’s wrath remains on them." Also, 2 Thessalonians 1:8-9 (NIV) declares, "Those who do not know God and do not obey the gospel of our Lord Jesus, they will be punished with everlasting destruction and shut out from the presence of the Lord and from the glory of his might."

The Gospel of Luke statement by Jesus about salvation being a "narrow" doorway is often quoted, with Luke 13:23-25 reading:

"Someone asked him, 'Lord, are only a few people going to be saved?' He said to them, 'Make every effort to enter through the narrow door, because many, I tell you, will try to enter and will not be able to.' Once the owner of the house gets up and closes the door, you will stand outside knocking and pleading, 'Sir, open the door for us.' But he will answer, 'I don’t know you or where you come from.'"

Books of the Bible argued to possibly support the idea of full reconciliation include the First Epistle to the Corinthians. The sections of 1 Corinthians 15:22, "As all die in Adam, so all will be made alive in Christ", and 1 Corinthians 15:28, "God will be all in all", are cited. Verses that seem to contradict the tradition of complete damnation and come up in arguments also include Lamentations 3:31-33 (NIV), "For no one is cast off by the Lord forever. Though he brings grief, he will show compassion, so great is his unfailing love", and 1 Timothy 4:10 (NIV), "We have put our hope in the living God, who is the Savior of all people, and especially of those who believe."

As well, the Epistle to the Colossians receives attention, with Colossians 1:17-20 reading:

"He is before all things, and in Him all things hold together. And He is the head of the body, the church; He is the beginning and the firstborn from among the dead, so that in everything He might have the supremacy. For God was pleased to have all His fullness dwell in Him, and through Him to reconcile to Himself all things, whether things on earth or things in heaven, by making peace through His blood, shed on the cross."

Development of universalist arguments

Broadly speaking, most historical advocates of Christian universalism throughout the years (and many now still) did so from the perspective of accepting the traditional Biblical canon as divinely inspired and without transcription error but rejecting strict Biblical literalism, practicing detailed exegesis of the texts. The advocates have argued that the apparent contradiction between Bible verses that describe God eventually reconciling humanity to goodness (such as in the Epistle to the Ephesians) with those that describe damnation to most of humanity (such as in the Book of Revelation) is that threats of long-term punishment function just as threats, not necessarily as predictions of future events, that will not be actually carried out. Advocates have also argued that suffering of sinners in hell or hell-like states will be long but still limited, not eternal.

However, liberal and progressive Christians have often argued that the teachings of the historical Jesus did not mention exclusive salvation for a select few and have altogether rejected many sections of the Bible written by figures decades after the life of Jesus as man-made inventions that are to be taken with a grain of salt.

While not being a universalist per se, influential Christian philosopher Karl Barth, often regarded as the greatest Protestant theologian of the twentieth century, spoke for a great deal of broadly traditional Christians when he wrote that salvation is centrally Christological. He asserted that in Jesus Christ, the reconciliation of all of mankind to God has essentially already taken place and that through Christ man is already elect and justified. Therefore, eternal salvation for everyone, even those that reject God, is a possibility that is more than an open question but should be hoped for by Christians as a matter of grace.

Responses

One recurrent objection to universalism made by many has been that having a deep-rooted belief in eternal torment as a possibility is a necessary deterrent from living an immoral life.

Universalists have often responded that punishments for sin can function well without being eternal, especially in the afterlife when one can face severe treatment first before one eventually gets to heaven.

History

In 1978, Biblical scholar Richard Bauckham offered an academic survey of the history of universal salvation. He outlined the history thus:

"The history of the doctrine of universal salvation (or apokatastasis) is a remarkable one. Until the nineteenth century almost all Christian theologians taught the reality of eternal torment in hell. Here and there, outside the theological mainstream, were some who believed that the wicked would be finally annihilated (in its commonest form, this is the doctrine of 'conditional immortality'). Even fewer were the advocates of universal salvation, though these few included some major theologians of the early church. Eternal punishment was firmly asserted in official creeds and confessions of the churches. It must have seemed as indispensable a part of universal Christian belief as the doctrines of the Trinity and the incarnation. Since 1800 this situation has entirely changed, and no traditional Christian doctrine has been so widely abandoned as that of eternal punishment. Its advocates among theologians today must be fewer than ever before. The alternative interpretation of hell as annihilation seems to have prevailed even among many of the more conservative theologians. Among the less conservative, universal salvation, either as hope or as dogma, is now so widely accepted that many theologians assume it virtually without argument."

However, eternal punishment did not appear in official creeds until the pseudo-Athanasian Creed in the late 5th century, when all admit that endless hell's popularity was on the rise. Contrary to Bauckham, it is unknown which view (of endless hell, annihilation, or correctional hell) was most prevalent in the early Church. The doctrine of endless torment does not seem to have been as indispensable to Christian belief back then as, for example, the Trinity and Incarnation. That is shown by the early 5th century statements of St. Augustine of Hippo, a most formidable advocate of the endless hell view, who admitted that a "great many" Christians saw hell as correctional and temporary and who considered his argument with them a mere "friendly controversy." St. Jerome attested around the same time that "many" believed that even the devil "will repent and be restored to his former place."

Early Christianity

According to Edward Beecher and George T. Knight, in the first 600 years of Christian history there were six main theological schools on hell: four of them were universalist, one taught annihilationism and the last taught endless torment. Many early Church Fathers have been quoted as either embracing or hoping for the ultimate reconciliation of God with His creation. The concept of a final restoration of all souls particularly had large appeal in the East during the fourth and fifth centuries.

Alexandria

The most important school of Universalist thought was the Didascalium in Alexandria, Egypt, which was founded by Saint Pantaenus in about 190. Alexandria was the centre of learning and intellectual discourse in the ancient Mediterranean world, and it was the theological centre of gravity of Christianity prior to the rise of the Roman Church.

Clement of Alexandria (c. 150 – c. 215)

The Universalists Hosea Ballou (1829), Thomas Whittemore (1830), John Wesley Hanson (1899) and George T. Knight (1911) claimed that Clement of Alexandria expressed universalist positions in early Christianity. Such claims have always been controversial. Some scholars believe that Clement used the term apocatastasis to refer only to the "restoration" of a select few. However, Brian E. Daley writes that Clement viewed "punishment after death as a medicinal and therefore temporary measure" and that he suggested "with great caution the related prospect of universal salvation for all intelligent creatures", for example in his Stromateis, Book VII, Chapter 2.

Origen, traditionally considered a 3rd-century proponent of Universal Reconciliation

Origen (c. 185 – 254)

According to Daley, Origen was firmly convinced that "all human souls will ultimately be saved" and "united to God forever in loving contemplation" and that this is "an indispensable part of the “end” promised by Paul in I Cor 15.24–28." Daley also notes that Origen sometimes called this final state of universal salvation ἀποκατάστασις and suggested it was already a familiar concept to his readers.

Fredrick W. Norris maintained, however, that Origen may not have strongly believed in universal reconciliation at all. In an article on apocatastasis in The Westminster handbook to Origen (2004) he wrote, "As far as we can tell, therefore, Origen never decided to stress exclusive salvation or universal salvation, to the strict exclusion of either case."

Gregory of Nyssa (c. 335 – 390s)

Gregory of Nyssa, who was declared "the father of fathers" by the Seventh Ecumenical Council,[26] is interpreted by many scholars as a proponent of universal salvation although some traditional and modern Greek orthodox scholars dispute the claim that Saint Gregory of Nyssa and Saint Macrina the Younger, who were brother and sister, either believed in or taught universal salvation.

Nevertheless, Gregory stated, "when death approaches to life, and darkness to light, and the corruptible to the incorruptible, the inferior is done away with and reduced to non-existence, and the thing purged is benefited, just as the dross is purged from gold by fire. In the same way in the long circuits of time, when the evil of nature which is now mingled and implanted in them has been taken away, whensoever the restoration to their old condition of the things that now lie in wickedness takes place, there will be a unanimous thanksgiving from the whole creation, both of those who have been punished in the purification and of those who have not at all needed purification."

6th century – Ecumenical condemnation of universalism?

Apocatastasis was interpreted by 19th-century Universalists such as Hosea Ballou (1842) to be the same as the beliefs of the Universalist Church of America. However, until the middle of the 6th century, the word had a broader meaning. While it applied to a number of doctrines regarding salvation, it also referred to a return to both a location and an original condition. Thus, the Greek word's application was originally broad and metaphorical. Many heteroclite views became associated with Origen, and the 15 anathemas against him attributed to the Second Council of Constantinople condemned a form of apocatastasis, along with the pre-existence of the soul, animism, a heterodox Christology, and a denial of real and lasting resurrection of the body. Some authorities believe that the anathemas belong to an earlier local synod.

The New Advent Catholic Encyclopedia claims that the Fifth Ecumenical Council was contested as being an official and authorized Ecumenical Council since it was established not by not the Pope but the Emperor since the Pope resisted it. The Fifth Ecumenical Council addressed what was called "The Three Chapters" and was against a form of Origenism that had nothing to do with Origen and Origenist views. Popes Vigilius, Pelagius I (556–61), Pelagius II (579–90), and Gregory the Great (590–604) were aware only that the Fifth Council specifically dealt with the Three Chapters, and they neither mentioned Origenism or Universalism and nor spoke as if they knew of its condemnation even though Gregory the Great was opposed to the belief of universalism. Scholar Richard Bauckham stated that while universalism appeared "discredited" because of scholarly resistance to Origen's view, it "seems in doubt" if the Fifth Ecumenical Council specifically endorsed any negative view of it.

7th century – Isaac of Nineveh

The universal reconciliation was strongly advocated in the writings of St. Isaac the Syrian, a monastic theologian and bishop of Nineveh.

Middle Ages

The Universalist John Wesley Hanson stated that even after eternal hell became the normative position of the Church, there were still some Christian thinkers during the Middle Ages who embraced Universalist ideas. In his Schaff article George T. Knight stated that "maybe" Johannes Scotus Eriugena, Johannes Tauler, Blessed John of Ruysbroeck and Blessed Julian of Norwich had Universalist leanings.

Solomon of Akhlat, a thirteenth-century bishop of the Church of the East, defended universalism in his Book of the Bee, mostly basing himself on citations of Isaac of Nineveh, Theodore of Mopsuestia, and Diodorus of Tarsus. David Bentley Hart confirms this and adds that Timotheus II, a fourteenth-century patriarch of the said church, "thought it uncontroversial to assert that the aiōnios pains of hell will come to an end when the souls cleansed by them, through the prayers of the saints, enter paradise."

16th century – Reformation era

Although figures such as Erasmus rekindled interests in the Greek Church Fathers, and early advocates of universal salvation, such as Origen, became more broadly known as new editions of their writings were published, the universal restoration was not a doctrine that mainstream Reformers wished to restore. Nonetheless, even as the Augsburg Confession promulgates endless torment, it suggests that at least some Anabaptists held to universalism: "They condemn the Anabaptists, who think that there will be an end to the punishments of condemned men and devils." Michael Servetus's writings also fall into a form of universalism in this period.

The period between the Reformation and the Age of Enlightenment featured extended debates about salvation and hell. The main controversy during this period was between the majority, who believed in the immortal soul and eternal punishment in hell (such as Calvin), and a minority, including Luther, who believed in soul sleep. Joachim Vadian and Johann Kessler accused the German Anabaptist Hans Denck of teaching universal salvation, but he denied it, and recent research suggests that he in fact did not teach it. Hans Hut was deeply influenced by Denck, but there is no evidence that he spread the doctrine of universalism.

17th century

The 17th century saw a resurgence of Christian universalism:

  • Gerrard Winstanley, The Mysterie of God Concerning the Whole Creation, Mankinde (London, 1648).
  • Richard Coppin, A hint of the glorious mysterie of the divine teachings (1649), defended at Worcester Assizes, 1652.
  • Jane Leade, A Revelation of the Everlasting Gospel Message (1697).
  • Jeremiah White, chaplain to Oliver Cromwell, wrote a book, The Restoration of all things, which was published posthumously in 1712 after his death in 1707.

Prominent universalists of this time also include the Cambridge Platonists in 17th-century England such as Peter Sterry.

The rise of ideological Calvinism, which taught that God neither sought out nor wanted salvation for all mankind and strictly held that divine omnipotence meant that God created those that he foresaw damnation for without mercy, fueled an intellectual counterreaction in which universalist-like doctrines that God intended all of humanity to be saved and will extend grace to most of humanity gained appeal. Arminianism and Quaker doctrine received much attention, but Christian universalism was still a fringe phenomenon in terms of scholarly thinking at the time.

18th century in Great Britain

George Whitfield, in a letter to John Wesley, wrote that Peter Boehler, a bishop in the Moravian Church, had privately confessed in a letter that "all the damned souls would hereafter be brought out of hell". William Law in An Humble, Earnest, and Affectionate Address to the Clergy (1761), an Anglican, and James Relly, a Welsh Methodist, were other significant 18th-century Protestant leaders who believed in Universalism.

In 1843, the Universalist Rev J. M. Day published an article "Was John Wesley a Restorationist?" in the Universalist Union magazine, suggesting that John Wesley (d. 1791) had made a private conversion to Universalism in his last years but had kept it secret. Biographers of Wesley reject that claim.

18th century in North America

The 18th century saw the establishment of the Universalist Church in America, in part by the efforts of Hosea Ballou.

Universalism was brought to the North American colonies in the early 18th century by the English-born physician George de Benneville, who was attracted by Pennsylvania's Quaker tolerance. North American universalism was active and organized. That was seen as a threat by the orthodox, Calvinist Congregationalists of New England such as Jonathan Edwards, who wrote prolifically against universalist teachings and preachers. John Murray (1741–1815) and Elhanan Winchester (1751–1797) are usually credited as founders of the modern Universalist movement and founding teachers of universal salvation. Early American Universalists such as Elhanan Winchester continued to preach the punishment of souls prior to eventual salvation.

19th century

The 19th century was the heyday of Christian universalism and the Universalist Church of America.

The famous German philosopher Friedrich Schleiermacher became one of the most well-known religious thinkers to teach universalism. Though he somewhat shared John Calvin's view of predestination, he interpreted the concept of an all-determining will of God to mean that through God's might, power, and foresight, humanity as a whole is fundamentally united in God's view and that every single person will eventually be drawn into His irresistible influence.

Other examples include English theologian Henry Bristow Wilson, who took somewhat of a universalist viewpoint in his part of the famous 1860 work Essays and Reviews and became condemned in the Court of Arches (an ecclesiastical court of the Church of England), only to soon receive vindication when the Lord Chancellor overturned that condemnation. Frederic Farrar's famous series of sermons in Westminster Abbey in 1877, published in print as Eternal Hope a year later, disputed the traditional views of damnation and punishment.

20th century

While highly-influential Protestant theologians Karl Barth and Emil Brunner did not strictly identify as universalists, both wrote in detail about how they viewed complete salvation extended to every single member of mankind as being not just a distinct possibility as but something that should be hoped for by all Christians.

The Universalist Church of America merged with the American Unitarian Association in 1961 to form the Unitarian Universalists.

Hans Urs von Balthasar wrote a small book addressing the virtuous hope for universalism, as well as its origin in Origen, Dare We Hope "That All Men Be Saved"?. He also addressed the relationship between love and universalism in Love Alone is Credible.

Adolph E. Knoch and William Barclay were universalists. In 1919, the Swiss F. L. Alexandre Freytag led a breakaway group of the Bible Student movement.

Children's author Madeleine L'Engle (A Wrinkle in Time) was an advocate of universalism, which led several Christian retail outlets to refuse to stock her books.

21st century

Christian Universalism continues as an influence within not only Unitarian Universalism but also Trinitarian Universalism.

In 2004, the Pentecostal bishop Carlton Pearson received notoriety when he was officially declared a heretic by the Joint College of African-American Pentecostal Bishops. Bishop Pearson, who had attended Oral Roberts University, a Charismatic Christian college, formally declared his belief in the doctrine of universal salvation. His church, called the New Dimensions Church, adopted that doctrine (that is, those who remained, since a significant majority of the church's original membership left), and in 2008, the congregation was merged into All Souls Unitarian Church in Tulsa, Oklahoma, one of the largest Unitarian Universalist congregations in the world.

The Evangelical Universalist: The Biblical Hope That God's Love Will Save us All, by "Gregory MacDonald", was published in 2006. "Gregory MacDonald" is a pen name, and the book's author was later revealed to be Robin Parry. The same author is also a coeditor of a 2003 compilation, Universal Salvation? The Current Debate, and of a 2010 book, All Shall Be Well, which reviews the doctrine of universal salvation from Origen to Moltmann.

On May 17, 2007, the Christian Universalist Association was founded at the historic Universalist National Memorial Church in Washington, DC. That was a move to distinguish the modern Christian Universalist movement from Unitarian Universalism and to promote ecumenical unity among Christian believers in universal reconciliation.

In 2008, the Russian Orthodox scholar-bishop Hilarion Alfeyev of Volokolamsk, in his presentation at the First World Apostolic Congress of Divine Mercy (held in Rome in 2008), argued that God's mercy is so great that He does not condemn sinners to everlasting punishment. He said that the Orthodox understanding of Hell corresponds roughly to the Roman Catholic notion of purgatory. American Eastern Orthodox theologian David Bentley Hart has also argued for the coherence of the universalist position, most notably in That All Shall Be Saved: Heaven, Hell, and Universal Salvation (2019).

Contemporary Conservative Evangelical teachers of ultimate reconciliation include Thomas Talbott and J.D. Leavitt, founder of Heavenly Faith.

Two Christian theologians of the 20th and 21st centuries who wrote in support of universalism and have received major notice are also J.A.T. Robinson and John Hick. Both argued for universalism as coming from God's nature as being of omnipotent love and stated that as time went on after death, some would temporarily refuse to repent, but none would refuse to repent forever. Hick, in particular, stated that the seemingly contradictory nature of the Bible's references to damnation came about because the warnings of hell are conditional to warn men about eternal suffering if they permanently refuse to repent, but nobody would actually make that choice.

Child abduction

From Wikipedia, the free encyclopedia

Child abduction or child theft is the unauthorized removal of a minor (a child under the age of legal adulthood) from the custody of the child's natural parents or legally appointed guardians.

The term child abduction includes two legal and social categories which differ by their perpetrating contexts: abduction by members of the child's family or abduction by strangers:

  • Parental child abduction is the unauthorized custody of a child by a family relative (usually one or both parents) without parental agreement and contrary to family law ruling, which may have removed the child from the care, access and contact of the other parent and family side. Occurring around parental separation or divorce, such parental or familial child abduction may include parental alienation, a form of child abuse seeking to disconnect a child from targeted parent and denigrated side of family. This is, by far, the most common form of child abduction.
  • Abduction or kidnapping by strangers (by people unknown to the child and outside the child's family) is rare. Some of the reasons why a stranger might kidnap an unknown child include:

Parental child abduction

By far the most common kind of child abduction is parental child abduction (200,000 in 2010 alone). It often occurs when the parents separate or begin divorce proceedings. A parent may remove or retain the child from the other seeking to gain an advantage in expected or pending child-custody proceedings or because that parent fears losing the child in those expected or pending child-custody proceedings; a parent may refuse to return a child at the end of an access visit or may flee with the child to prevent an access visit or fear of domestic violence and abuse.

Parental child abductions may result in the child be kept within the same city, within the state or region, within the same country, or sometimes may result in the child being taken to a different country.

Most parental abductions are resolved fairly quickly. Studies performed for the U.S. Department of Justice's Office of Juvenile Justice and Delinquency Prevention reported that in 1999, 53% percent of family abducted children were gone less than one week, and 21% were gone one month or more.

Parental abduction has been characterized as child abuse, when seen from the perspective of the kidnapped child.

International child abduction

Hague Abduction Convention
Convention on the Civil Aspects of International Child Abduction
HagueAbductionConvention RatificationsandAccessions.svg
State parties to the convention
  states that signed and ratified the convention
  states that acceded to the convention
  state that ratified, but convention has not entered into force
Signed25 October 1980
LocationThe Netherlands
Effective1 December 1983
Parties101 (October 2020)
DepositaryMinistry of Foreign Affairs of the Kingdom of the Netherlands
LanguagesFrench and English
Full text
Convention on the Civil Aspects of International Child Abduction at Wikisource
 
 

International child abduction occurs when a parent, relative or acquaintance of a child leaves the country with the child or children in violation of a custody decree or visitation order. Another related situation is retention where children are taken on an alleged vacation to a foreign country and are not returned.

While the number of cases which is over 600,000 a year consists of international child abduction is small in comparison to domestic cases, they are often the most difficult to resolve due to the involvement of conflicting international jurisdictions. Two-thirds of international parental abduction cases involve mothers who often allege domestic violence. Even when there is a treaty agreement for the return of a child, the court may be reluctant to return the child if the return could result in the permanent separation of the child from their primary caregiver. This could occur if the abducting parent faced criminal prosecution or deportation by returning to the child's home country.

The Hague Convention on the Civil Aspects of International Child Abduction is an international human rights treaty and legal mechanism to recover children abducted to another country. The Hague Convention does not provide relief in many cases, resulting in some parents hiring private parties to recover their children. Covert recovery was first made public when Don Feeney, a former Delta Commando, responded to a desperate mother's plea to locate and recover her daughter from Jordan in the 1980s. Feeney successfully located and returned the child. A movie and book about Feeney's exploits lead to other desperate parents seeking him out for recovery services.

By 2007, both the United States, European authorities, and NGO's had begun serious interest in the use of mediation as a means by which some international child abduction cases may be resolved. The primary focus was on Hague Cases. Development of mediation in Hague cases, suitable for such an approach, had been tested and reported by REUNITE, a London Based NGO which provides support in international child abduction cases, as successful. Their reported success lead to the first international training for cross-border mediation in 2008, sponsored by NCMEC. Held at the University of Miami School of Law, Lawyers, Judges, and certified mediators interested in international child abduction cases, attended.

International child abduction is not new. A case of international child abduction has been documented aboard the Titanic. However, the incidence of international child abduction continues to increase due to the ease of international travel, increase in bi-cultural marriages and a high divorce rate.

Abductions by strangers

The stereotypical version of kidnapping by a stranger is the classic form of "kidnapping," exemplified by the Lindbergh kidnapping, in which the child is detained, transported some distance, held for ransom or with intent to keep the child permanently. These instances are rare.

Child abduction for ransom: United States

The earliest nationally publicised kidnapping of a child by a stranger for the purpose of extracting a ransom payment from the parents was the Pool case of 1819, which took place in Baltimore, Maryland. Margaret Pool, 20-months-old, was kidnapped on May 20 by Nancy Gamble (19-years-old) and secreted with the assistance of Marie Thomas. On May 22, the parents, James and Mary Pool, placed an ad in the Baltimore Patriot newspaper offering a $20 reward for Mary's return. When the child was recovered on May 23—through the efforts of members of the community who conducted a search—it was revealed that the child had been badly whipped by Gamble and bore bloody wounds. Both Gamble and Thomas were tried for the crime of kidnapping and found guilty. The motive for the crime was demonstrated to be financial. She had kidnapped the child with the intention of waiting for a reward to be offered, then would return the child and collect the money. This is a technique favored by many ransom child kidnappers before the use of written ransom demands became the favored method. Nancy Gamble's crime and subsequent trial were reported in detail in Baltimore Patriot (June 26, 1819). The June 26 article, as well as others on the case that had appeared in the Patriot, were reprinted in newspapers in other states including: Connecticut, Maryland, Massachusetts, New Hampshire, New Jersey, New York, Pennsylvania, Vermont, Virginia and Washington D.C.

Children abducted for slavery

In 1597, Elizabeth I of England licensed the abduction of children for use as chapel choristers and theatre performers.

There are reports that abduction of children to be used or sold as slaves is common in parts of Africa.

The Lord's Resistance Army, a rebel paramilitary group operating mainly in northern Uganda, is notorious for its abductions of children for use as child soldiers or sex slaves. According to the Sudan Tribune, as of 2005, more than 30,000 children have been kidnapped by the LRA and their leader, Joseph Kony.

By stranger to raise

A very small number of abductions result from - in most cases - women who kidnap babies (or other young children) to bring up as their own. These women are often unable to have children of their own, or have miscarried, and seek to satisfy their unmet psychological need by abducting a child rather than by adopting. The crime is often premeditated, with the woman often simulating pregnancy to reduce suspicion when a baby suddenly appears in the household.

Historically, a few states have practiced child abduction for indoctrination, as a form of punishment for political opponents, or for profit. Notable cases include the kidnapping of children by Nazi Germany for Germanization, the lost children of Francoism, during which an estimated 300,000 children were abducted from their parents. and the about 500 "Children of the Disappeared (Desaparecidos)" who were adopted by the military in the Argentine Dirty War . In Australia the 'Stolen Generation' is the term given to native Aboriginal children who were forcibly abducted or whose mothers gave consent under duress or misleading information so the government could assimilate the black population into the white majority.

Some other abductions have been to make children available by child-selling for adoption by other people, without adopting parents necessarily being aware of how children were actually made available for adoption.

Abduction before birth

Neonatal infant abduction and prenatal fetal abduction are the earliest ages of child abduction, when child is expansively defined as a viable baby before birth (usually a few months before the typical time for birth) through the age of majority (the age at which a young person is legally recognized as an adult). In addition, embryo theft and even oocyte misappropriation in reproductive medical settings have been legalistically construed as child abduction.

Global Missing Children's Network

Launched in 1998 as a joint venture of the International Centre for Missing & Exploited Children (ICMEC) and NCMEC, the Global Missing Children's Network (GMCN) is a network of countries that connect, share best practices, and disseminate information and images of missing children to improve the effectiveness of missing children investigations. The Network has 22 member countries: Albania, Argentina, Australia, Belarus, Belgium, Brazil, Canada, Germany, Greece, Ireland, Italy, Mexico, the Netherlands, New Zealand, Poland, Romania, Russia, Serbia, South Africa, South Korea, Spain, the United Kingdom, and the US.

Each country can access a customizable website platform, and can enter missing children information into a centralized, multilingual database that has photos of and information about missing children, which can be viewed and distributed to assist in location and recovery efforts. GMCN staff train new countries joining the Network, and provide an annual member conference sponsored by Motorola Solutions Foundation at which best practices, current issues, trends, policies, procedures, and possible solutions are discussed.

The parents of Madeleine McCann, a three-year-old girl who disappeared from her bed in a hotel in Portugal in 2007, approached ICMEC to help them publicize her case. ICMEC's YouTube channel, "Don'tYouForgetAboutMe," which lets people post videos, images, and information about their missing children, was launched that year as a part of these efforts, and as of November 2014 had 2,200 members. ICMEC reviews the postings to ensure that any child in a posted video is in fact missing, that authorities are aware that the child is missing, and that the images are not inappropriate.

Laws

International

France

Since February 2006, France has adopted a nationwide alert system, Alerte Enlèvement, which broadcasts (via radio, television, street signs and airport and train stations screens) crucial information when an abduction of a minor takes place. The French Penal Code describes the fact of "without order of a constituted authority and except as ordered by law, to stop, to remove, to detain or to kidnap a person" punishable by twenty years of imprisonment. If the victim is mutilated or permanently disabled as a result of the kidnapping, the offense is punishable by thirty years of imprisonment and by life imprisonment when it is preceded or accompanied by torture or "barbaric acts".

United Kingdom

See the Child Abduction Act 1984, the Child Abduction and Custody Act 1985 and the Child Abduction (Northern Ireland) Order 1985.

United States

The United States has a variety of related laws at the state and municipal levels. The US developed the AMBER Alert system, which broadcasts cases of suspected kidnapping when the child is believed to be in a motor vehicle and the vehicle licence plate is known. Some laws, such as the Adam Walsh Child Protection and Safety Act, aim to prevent stranger abductions through public sex offender registeries which include an offender's address.

Consciousness is the collapse of the wave function

Quantum mechanics and the organic light of consciousness

consciousness and the wavefunction collapse
4th May 2022 by Stuart Hameroff | Anesthesiologist and Quantum Consciousness Theorist and Researcher. Professor Emeritus at The Department of Anesthesiology and Center for Consciousness Studies, The University of Arizona, Tucson, Arizona. 
 
Original link:  https://iai.tv/articles/consciousness-is-the-collapse-of-the-wave-function-auid-2120?fbclid=IwAR2XezP6Z3Dy_O7Do51PI1I7EDLhNnHvFM8IP32a-G6_M0iwvvv9-0HZ938

Consciousness defines our existence. It is, in a sense, all we really have, all we really are, The nature of consciousness has been pondered in many ways, in many cultures, for many years. But we still can’t quite fathom it.

panpsychism What physicists get wrong about consciousness 

Consciousness is, some say, all-encompassing, comprising reality itself, the material world a mere illusion. Others say consciousness is the illusion, without any real sense of phenomenal experience, or conscious control. According to this view we are, as TH Huxley bleakly said, ‘merely helpless spectators, along for the ride’. Then, there are those who see the brain as a computer. Brain functions have historically been compared to contemporary information technologies, from the ancient Greek idea of memory as a ‘seal ring’ in wax, to telegraph switching circuits, holograms and computers. Neuroscientists, philosophers, and artificial intelligence (AI) proponents liken the brain to a complex computer of simple algorithmic neurons, connected by variable strength synapses. These processes may be suitable for non-conscious ‘auto-pilot’ functions, but can’t account for consciousness.

Finally there are those who take consciousness as fundamental, as connected somehow to the fine scale structure and physics of the universe. This includes, for example Roger Penrose’s view that consciousness is linked to the Objective Reduction process - the ‘collapse of the quantum wavefunction’ – an activity on the edge between quantum and classical realms. Some see such connections to fundamental physics as spiritual, as a connection to others, and to the universe, others see it as proof that consciousness is a fundamental feature of reality, one that developed long before life itself.

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Penrose turned the conscious observer around. Instead of consciousness causing collapse, wavefunctions collapsed spontaneously, causing a moment – a ‘quantum – of consciousness.

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Consciousness and the collapse of the wavefunction

Penrose was suggesting Objective Reduction not only as a scientific basis for consciousness, but also as a solution to the ‘measurement problem’ in quantum mechanics. Since the early 20th century, it has been known that quantum particles can exist in superposition of multiple possible states and/or locations simultaneously, described mathematically as a wavefunction according to the Schrödinger equation. But we don’t see such superpositions because, it appeared to early quantum researchers, the very act of measurement, or of conscious observation, seemed to ‘collapse’ the wavefunction to definite states and location - the conscious observer effect - consciousness collapsed the wavefunction. But this view put consciousness outside the purview of science. Another proposal is ‘Many Worlds’ in which there is no collapse, and each possibility evolves its own universe.

Penrose turned the conscious observer around. Instead of consciousness causing collapse, wavefunctions collapsed spontaneously, causing a moment – a ‘quantum – of consciousness. Collapse, or quantum state reduction, occurred at an objective threshold in the fine scale structure of spacetime geometry.

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While the wave-function is viewed by many as pure mathematics in an abstract space, Penrose characterized it as a process in the fine scale structure of the universe.

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Penrose first likened quantum particles to tiny curvatures in spacetime geometry (as Einstein’s General Theory of Relativity had done for large objects like the sun). Superposition states of multiple possibilities, or of delocalized particles, could then be viewed as opposing curvatures, and hence separations in the fine scale structure of the universe, spacetime geometry. Were such separations to continue, ‘Many Worlds’ would result.

But such separations would be unstable, and reduce, or ‘collapse’ to definite states, selected neither randomly, nor algorithmically, but ‘non-computably’, perhaps reflecting ‘Platonicvalues’ embedded in spacetime geometry. Thus while the wave-function is viewed by many as pure mathematics in an abstract space, Penrose characterized it as a process in the fine scale structure of the universe.

And each Objective Reduction event would entail a moment of ‘proto-conscious’ experience in a random microenvironment, without memory, or context. But occasionally, at least, a feeling of pleasure would arise, e.g.  from quantum optical effects leading to Objective Reduction in a micelle, providing a feedback fitness function to to optimize pleasure. Virtually all human and animal behavior is in some way related to the pursuit of pleasure in its various forms.

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In the mid 1990s I teamed with Roger Penrose to suggest that quantum vibrations in microtubules in brain neurons were ‘orchestrated’. Consciousness was somewhat like music in the structure of spacetime.

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Proto-conscious moments would lack memory, meaning and context, but have phenomenal ‘qualia’ – a primitive form of conscious experience. They may be like the unharmonious tones, notes and sounds of an orchestra tuning up. In the mid 1990s I teamed with Roger Penrose to suggest that quantum vibrations in microtubules in brain neurons were ‘orchestrated’, hence ‘Orchestrated Objective Reduction’. Consciousness was somewhat like music in the structure of spacetime.   

Our Orchestrated Objective Reduction theory was viewed skeptically. Technological quantum computers were operated near absolute zero temperatures to avoid thermal decoherence, so quantum prospects in the ‘warm, wet and noisy’ brain seemed unlikely. But we knew quantum optical activity could occur within non-polar regions in microtubule proteins, where anesthetics appeared to act to selectively block consciousness. Recently we were proven right: a quantum optical state of superradiance has been shown in microtubules, and preliminary evidence suggests it is inhibited by anesthetics. How do quantum activities at this level affect brain-wide functions and consciousness?

It is becoming apparent that consciousness may occur in single brain neurons extending upward into networks of neurons, but also downward and deeper, to terahertz quantum optical processes, e.g. ‘superradiance’ in microtubules, and further still to fundamental spacetime geometry (Figure 1). I agree that consciousness is fundamental, and concur with Roger Penrose that it involves self-collapse of the quantum wavefunction, a rippling in the fine scale structure of the universe.

Organic light per se isn’t consciousness. But organic light could be the interface between the brain and conscious processes in the fine scale structure of the universe. 

Quantum image2

Figure 1. A scale-invariant hierarchy extending downward from a cortical pyramidal neuron (left) into microtubules, tubulin dipoles, organic ring dipoles and spacetime geometry curvatures. Self-similar dynamics recur every three orders of magnitude.

Light and consciousness

Impossible to directly measure or observe, consciousness might reveal itself in the brain by significant deviation from mere algorithmic non-conscious processes, like reflexive, auto-pilot behaviors. Such deviation is found in cortical Layer V pyramidal neurons (see Figure 1)  in awake animals, without changes in external membrane potentials. This suggests ‘conscious’ modulation may arise inside neurons, from deeper, faster quantum processes in cytoskeletal microtubules (see Figure 1). These could include Penrose Objective Reduction connecting to fundamental spacetime geometry.

Light is the part of the electromagnetic spectrum that can be seen by the eyes of humans and animals – visible light. Each point on the spectrum corresponds with a photon of a particular wavelength, and inverse frequency. Each wavelength is seen by the eye and brain as a different color. In addition to wavelength/frequency, photons have other properties including intensity, polarization, phase and orbital angular momentum.

Ancient traditions characterized consciousness as light. Religious figures were often depicted with luminous ‘halos’, and/or auras. Hindu deities are portrayed with luminous blue skin. And people who have ‘near death’ and ‘out of body’ experiences described being attracted toward a ‘white light’. In many cultures, those who have ‘awakened to the truth about reality’ are ‘enlightened.’

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Organic light per se isn’t consciousness. But organic light could be the interface between the brain and conscious processes in the fine scale structure of the universe.

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In recent years, biophotons have been determined to occur in brain neurons, e.g. in ultraviolet, visible and infra-red wavelengths from oxidative metabolism in mitochondria.

Light was prevalent in the early universe, e.g. for a period beginning 10 seconds after the Big Bang, when photons dominated the energy landscape and briefly illuminated reality. However photons, protons and electrons then fused into a hot, opaque plasma, obscuring reality for 350,000 years until the universe cooled, enabling electrons and protons to form neutral atoms, and build matter and structure. Photons became free to roam a mostly transparent universe, and upon meeting matter, reflect, scatter or be absorbed, generally without significant chemical interaction. However compounds containing organic carbon rings, essential molecules in living systems, are notable exceptions.

18th century chemists knew of linear chains of carbon atoms with extra hydrogens – ‘hydrocarbons’, like methane, propane etc. They also knew of an oily, highly flammable molecule with 6 carbons they called benzene, but didn’t understand its structure. One night the German chemist August Kekule had a dream, that linear hydrocarbons were snakes, and one swallowed its tail – the mythical ‘Ourobouros’. He awoke to proclaim (correctly, it turned out) “benzene is a ring”!

Each hexagonal carbon benzene ring has 3 extra electrons which extend as ‘electron clouds’ above and below the ring, comprised of what later became known as ‘pi’ electron resonance’ orbitals.  Within these clouds, electrons can switch between specific orbitals and energy levels by first absorbing a photon, and then subsequently emitting a lower energy photon. This is the basis for quantum optical effects including fluorescence, phosphorescence, excitons and superradiance.

Hexagonal organic rings with quantum optical properties may fuse, and include 5-sided rings to form ‘indole’ rings found in psychoactive molecules, living systems, and throughout the universe, e.g. in interstellar dust.

The hot plasma of the early universe had led to formation of poly aromatic hydrocarbons (PAHs), fused organic (‘aromatic’) complexes of benzene and indole rings. Ice-encrusted in inter-stellar dust, PAHs are still quantum optically active, e.g. fluorescent, and emitting photons seen on earth. This ‘organic light’ may play a key role in the origin and development of life and consciousness.

Life and consciousness – Which came first?

Life on earth is said to have begun in a simmering mix of aqueous and oily compounds, sunlight and lightning, called the ‘Primordial soup’, as proposed by Oparin and Haldane in the early 20th century. In the 1950s Miller and Urey simulated a version of the primordial soup and found ‘amphipathic’ biomolecules with a non-polar, benzene-like pi resonance organic ring on one end, and a polar, charged tail on the other. Such molecules are prevalent in biology, e.g. aromatic amino acids tryptophan (indole ring), phenylalanine and tyrosine in proteins, components of membranes and nucleic acids, and psychoactive molecules like dopamine, serotonin, LSD and DMT .

Oparin and Haldane proposed the non-polar, ‘hydrophobic’ pi resonance electron clouds coalesced to avoid the aqueous environment (‘oil and water don’t mix’). The polar, water soluble tails would stick outwardly, forming a water soluble ‘micelle’ with a non-polar interior. These micelles somehow developed into functional cells, and then multi-cellular organisms, long before genes. But why would inanimate creatures self-organize to perform purposeful complex functions, grow and evolve behaviors? And then, presumably, at some point, develop consciousness? Or was consciousness ‘there all along’?   

Mainstream science and philosophy assume that consciousness emerged at some point in the course of evolution, possibly fairly recently, with the advent of the brain and nervous systems. But Eastern spiritual traditions, panpsychism, and the Objective Reduction theory of Roger Penrose suggest that consciousness preceded life.

Back in the Primordial soup, could light-induced proto-conscious moments have occurred by Penrose Obejtive Reduction in micelles in the primordial soup? Did such moments provide a feedback fitness function to optimize primitive pleasure, sparking the origin of life and driving its evolution? Are similar events occurring in PAHs and organic rings throughout the universe?


4th May 2022

 

Mathematical and theoretical biology

Yellow chamomile head showing the Fibonacci numbers in spirals consisting of 21 (blue) and 13 (aqua). Such arrangements have been noticed since the Middle Ages and can be used to make mathematical models of a wide variety of plants.

Mathematical and theoretical biology, or biomathematics, is a branch of biology which employs theoretical analysis, mathematical models and abstractions of the living organisms to investigate the principles that govern the structure, development and behavior of the systems, as opposed to experimental biology which deals with the conduction of experiments to prove and validate the scientific theories. The field is sometimes called mathematical biology or biomathematics to stress the mathematical side, or theoretical biology to stress the biological side. Theoretical biology focuses more on the development of theoretical principles for biology while mathematical biology focuses on the use of mathematical tools to study biological systems, even though the two terms are sometimes interchanged.

Mathematical biology aims at the mathematical representation and modeling of biological processes, using techniques and tools of applied mathematics. It can be useful in both theoretical and practical research. Describing systems in a quantitative manner means their behavior can be better simulated, and hence properties can be predicted that might not be evident to the experimenter. This requires precise mathematical models.

Because of the complexity of the living systems, theoretical biology employs several fields of mathematics, and has contributed to the development of new techniques.

History

Early history

Mathematics has been used in biology as early as the 13th century, when Fibonacci used the famous Fibonacci series to describe a growing population of rabbits. In the 18th century Daniel Bernoulli applied mathematics to describe the effect of smallpox on the human population. Thomas Malthus' 1789 essay on the growth of the human population was based on the concept of exponential growth. Pierre François Verhulst formulated the logistic growth model in 1836.

Fritz Müller described the evolutionary benefits of what is now called Müllerian mimicry in 1879, in an account notable for being the first use of a mathematical argument in evolutionary ecology to show how powerful the effect of natural selection would be, unless one includes Malthus's discussion of the effects of population growth that influenced Charles Darwin: Malthus argued that growth would be exponential (he uses the word "geometric") while resources (the environment's carrying capacity) could only grow arithmetically.

The term "theoretical biology" was first used by Johannes Reinke in 1901. One founding text is considered to be On Growth and Form (1917) by D'Arcy Thompson, and other early pioneers include Ronald Fisher, Hans Leo Przibram, Nicolas Rashevsky and Vito Volterra.

Recent growth

Interest in the field has grown rapidly from the 1960s onwards. Some reasons for this include:

  • The rapid growth of data-rich information sets, due to the genomics revolution, which are difficult to understand without the use of analytical tools
  • Recent development of mathematical tools such as chaos theory to help understand complex, non-linear mechanisms in biology
  • An increase in computing power, which facilitates calculations and simulations not previously possible
  • An increasing interest in in silico experimentation due to ethical considerations, risk, unreliability and other complications involved in human and animal research

Areas of research

Several areas of specialized research in mathematical and theoretical biology as well as external links to related projects in various universities are concisely presented in the following subsections, including also a large number of appropriate validating references from a list of several thousands of published authors contributing to this field. Many of the included examples are characterised by highly complex, nonlinear, and supercomplex mechanisms, as it is being increasingly recognised that the result of such interactions may only be understood through a combination of mathematical, logical, physical/chemical, molecular and computational models.

Abstract relational biology

Abstract relational biology (ARB) is concerned with the study of general, relational models of complex biological systems, usually abstracting out specific morphological, or anatomical, structures. Some of the simplest models in ARB are the Metabolic-Replication, or (M,R)--systems introduced by Robert Rosen in 1957-1958 as abstract, relational models of cellular and organismal organization.

Other approaches include the notion of autopoiesis developed by Maturana and Varela, Kauffman's Work-Constraints cycles, and more recently the notion of closure of constraints.

Algebraic biology

Algebraic biology (also known as symbolic systems biology) applies the algebraic methods of symbolic computation to the study of biological problems, especially in genomics, proteomics, analysis of molecular structures and study of genes.

Complex systems biology

An elaboration of systems biology to understand the more complex life processes was developed since 1970 in connection with molecular set theory, relational biology and algebraic biology.

Computer models and automata theory

A monograph on this topic summarizes an extensive amount of published research in this area up to 1986, including subsections in the following areas: computer modeling in biology and medicine, arterial system models, neuron models, biochemical and oscillation networks, quantum automata, quantum computers in molecular biology and genetics, cancer modelling, neural nets, genetic networks, abstract categories in relational biology, metabolic-replication systems, category theory applications in biology and medicine, automata theory, cellular automata, tessellation models and complete self-reproduction, chaotic systems in organisms, relational biology and organismic theories.

Modeling cell and molecular biology

This area has received a boost due to the growing importance of molecular biology.

  • Mechanics of biological tissues
  • Theoretical enzymology and enzyme kinetics
  • Cancer modelling and simulation
  • Modelling the movement of interacting cell populations
  • Mathematical modelling of scar tissue formation
  • Mathematical modelling of intracellular dynamics
  • Mathematical modelling of the cell cycle
  • Mathematical modelling of apoptosis

Modelling physiological systems

Computational neuroscience

Computational neuroscience (also known as theoretical neuroscience or mathematical neuroscience) is the theoretical study of the nervous system.

Evolutionary biology

Ecology and evolutionary biology have traditionally been the dominant fields of mathematical biology.

Evolutionary biology has been the subject of extensive mathematical theorizing. The traditional approach in this area, which includes complications from genetics, is population genetics. Most population geneticists consider the appearance of new alleles by mutation, the appearance of new genotypes by recombination, and changes in the frequencies of existing alleles and genotypes at a small number of gene loci. When infinitesimal effects at a large number of gene loci are considered, together with the assumption of linkage equilibrium or quasi-linkage equilibrium, one derives quantitative genetics. Ronald Fisher made fundamental advances in statistics, such as analysis of variance, via his work on quantitative genetics. Another important branch of population genetics that led to the extensive development of coalescent theory is phylogenetics. Phylogenetics is an area that deals with the reconstruction and analysis of phylogenetic (evolutionary) trees and networks based on inherited characteristics Traditional population genetic models deal with alleles and genotypes, and are frequently stochastic.

Many population genetics models assume that population sizes are constant. Variable population sizes, often in the absence of genetic variation, are treated by the field of population dynamics. Work in this area dates back to the 19th century, and even as far as 1798 when Thomas Malthus formulated the first principle of population dynamics, which later became known as the Malthusian growth model. The Lotka–Volterra predator-prey equations are another famous example. Population dynamics overlap with another active area of research in mathematical biology: mathematical epidemiology, the study of infectious disease affecting populations. Various models of the spread of infections have been proposed and analyzed, and provide important results that may be applied to health policy decisions.

In evolutionary game theory, developed first by John Maynard Smith and George R. Price, selection acts directly on inherited phenotypes, without genetic complications. This approach has been mathematically refined to produce the field of adaptive dynamics.

Mathematical biophysics

The earlier stages of mathematical biology were dominated by mathematical biophysics, described as the application of mathematics in biophysics, often involving specific physical/mathematical models of biosystems and their components or compartments.

The following is a list of mathematical descriptions and their assumptions.

Deterministic processes (dynamical systems)

A fixed mapping between an initial state and a final state. Starting from an initial condition and moving forward in time, a deterministic process always generates the same trajectory, and no two trajectories cross in state space.

Stochastic processes (random dynamical systems)

A random mapping between an initial state and a final state, making the state of the system a random variable with a corresponding probability distribution.

Spatial modelling

One classic work in this area is Alan Turing's paper on morphogenesis entitled The Chemical Basis of Morphogenesis, published in 1952 in the Philosophical Transactions of the Royal Society.

Mathematical methods

A model of a biological system is converted into a system of equations, although the word 'model' is often used synonymously with the system of corresponding equations. The solution of the equations, by either analytical or numerical means, describes how the biological system behaves either over time or at equilibrium. There are many different types of equations and the type of behavior that can occur is dependent on both the model and the equations used. The model often makes assumptions about the system. The equations may also make assumptions about the nature of what may occur.

Molecular set theory

Molecular set theory (MST) is a mathematical formulation of the wide-sense chemical kinetics of biomolecular reactions in terms of sets of molecules and their chemical transformations represented by set-theoretical mappings between molecular sets. It was introduced by Anthony Bartholomay, and its applications were developed in mathematical biology and especially in mathematical medicine. In a more general sense, MST is the theory of molecular categories defined as categories of molecular sets and their chemical transformations represented as set-theoretical mappings of molecular sets. The theory has also contributed to biostatistics and the formulation of clinical biochemistry problems in mathematical formulations of pathological, biochemical changes of interest to Physiology, Clinical Biochemistry and Medicine.

Organizational biology

Theoretical approaches to biological organization aim to understand the interdependence between the parts of organisms. They emphasize the circularities that these interdependences lead to. Theoretical biologists developed several concepts to formalize this idea.

For example, abstract relational biology (ARB) is concerned with the study of general, relational models of complex biological systems, usually abstracting out specific morphological, or anatomical, structures. Some of the simplest models in ARB are the Metabolic-Replication, or (M,R)--systems introduced by Robert Rosen in 1957-1958 as abstract, relational models of cellular and organismal organization.

Model example: the cell cycle

The eukaryotic cell cycle is very complex and is one of the most studied topics, since its misregulation leads to cancers. It is possibly a good example of a mathematical model as it deals with simple calculus but gives valid results. Two research groups have produced several models of the cell cycle simulating several organisms. They have recently produced a generic eukaryotic cell cycle model that can represent a particular eukaryote depending on the values of the parameters, demonstrating that the idiosyncrasies of the individual cell cycles are due to different protein concentrations and affinities, while the underlying mechanisms are conserved (Csikasz-Nagy et al., 2006).

By means of a system of ordinary differential equations these models show the change in time (dynamical system) of the protein inside a single typical cell; this type of model is called a deterministic process (whereas a model describing a statistical distribution of protein concentrations in a population of cells is called a stochastic process).

To obtain these equations an iterative series of steps must be done: first the several models and observations are combined to form a consensus diagram and the appropriate kinetic laws are chosen to write the differential equations, such as rate kinetics for stoichiometric reactions, Michaelis-Menten kinetics for enzyme substrate reactions and Goldbeter–Koshland kinetics for ultrasensitive transcription factors, afterwards the parameters of the equations (rate constants, enzyme efficiency coefficients and Michaelis constants) must be fitted to match observations; when they cannot be fitted the kinetic equation is revised and when that is not possible the wiring diagram is modified. The parameters are fitted and validated using observations of both wild type and mutants, such as protein half-life and cell size.

To fit the parameters, the differential equations must be studied. This can be done either by simulation or by analysis. In a simulation, given a starting vector (list of the values of the variables), the progression of the system is calculated by solving the equations at each time-frame in small increments.

Cell cycle bifurcation diagram.jpg

In analysis, the properties of the equations are used to investigate the behavior of the system depending on the values of the parameters and variables. A system of differential equations can be represented as a vector field, where each vector described the change (in concentration of two or more protein) determining where and how fast the trajectory (simulation) is heading. Vector fields can have several special points: a stable point, called a sink, that attracts in all directions (forcing the concentrations to be at a certain value), an unstable point, either a source or a saddle point, which repels (forcing the concentrations to change away from a certain value), and a limit cycle, a closed trajectory towards which several trajectories spiral towards (making the concentrations oscillate).

A better representation, which handles the large number of variables and parameters, is a bifurcation diagram using bifurcation theory. The presence of these special steady-state points at certain values of a parameter (e.g. mass) is represented by a point and once the parameter passes a certain value, a qualitative change occurs, called a bifurcation, in which the nature of the space changes, with profound consequences for the protein concentrations: the cell cycle has phases (partially corresponding to G1 and G2) in which mass, via a stable point, controls cyclin levels, and phases (S and M phases) in which the concentrations change independently, but once the phase has changed at a bifurcation event (Cell cycle checkpoint), the system cannot go back to the previous levels since at the current mass the vector field is profoundly different and the mass cannot be reversed back through the bifurcation event, making a checkpoint irreversible. In particular the S and M checkpoints are regulated by means of special bifurcations called a Hopf bifurcation and an infinite period bifurcation.

Societies and institutes

Archetype

From Wikipedia, the free encyclopedia https://en.wikipedia.org/wiki/Archetype The concept of an archetyp...