Science-Watching: New Insights into Polyamorphism Could Influence How Drugs Are Formulated

[from the Royal Society of Chemistry’s Chemistry World, by Patrick de Jongh]

Results from a study combining experiments and simulations could overturn the assumption that amorphous forms of the same compound have the same molecular arrangement. The team behind the work claims to have prepared three amorphous forms of the diuretic drug hydrochlorothiazide and determined that they have distinct properties and distinct types of disorder. ‘If polyamorphism is proved in the future to be a universal—or at least not a very rare—phenomenon, then the pharmaceutical industry will need to make screens for polyamorphism and this will also be an opportunity for patenting,’ comments Inês Martins, from the University of Copenhagen in Denmark, who led the work with Thomas Rades.

Crystalline active pharmaceutical ingredients (APIs) often suffer from poor solubility. A common strategy to circumvent this problem is converting APIs into their amorphous form. This has been demonstrated for various APIs, including hydrochlorothiazide. However, the physical properties of polyamorphs are dependent on how they were prepared. Given there are no straightforward techniques to study how molecules interact and organise themselves in amorphous materials, the area is poorly understood.

Nevertheless, a team surrounding Rades and Martins set out to identify how amorphous forms of the same API, presenting different physicochemical properties, differ from each other. They decided to study hydrochlorothiazide as it was previously shown to have polyamorphs with glass transition temperatures above room temperature, which facilitates the preparation, isolation and analysis of its different polyamorphs. Starting from crystalline hydrochlorothiazide, they produced three polyamorphs: polyamorph I via spray-drying, polyamorph II via quench-cooling and polyamorph III by ball-milling. Thermal analysis revealed a significantly lower glass-transition temperature for polyamorph I (88.7°C), whereas polyamorphs II and III had similar glass-transition temperatures (117.5°C and 119.7°C, respectively). The polyamorphs also demonstrated very different shelf-life stabilities against crystallisation.

Subsequently, they studied polyamorphic interconversions by submitting the polyamorphs to the preparation conditions used for other polyamorphs. For example, polyamorph I (obtained by spray-drying) was subjected to quench–cooling or ball-milling. Identifying temperature as a critical parameter, they observed that polyamorph II could be obtained from polyamorphs I and III, but the reverse pathway was not possible. Meanwhile, they observed polyamorph I and polyamorph III interconvert. These results demonstrate polyamorph II is the most stable amorphous form.

Source: © Thomas Rades/University of Copenhagen
Researchers used a variety of techniques to elucidate the different polyamorphs that can be produced from crystalline hydrochlorothiazide and the polyamorphic interconversions that occur when a specific amorphous form is submitted to temperature or milling treatments

‘The problem out of the gate with polyamorphism as a concept is how to tell the difference between a well-defined metastable amorphous structure and an unrelaxed one that simply results from kinetically trapped defects introduced during processing. This is hard to define since the amorphous structure is statistical in any case,’ comments Simon Billinge, who studies the structure of disordered materials at Columbia University in the US. ‘They process the samples very differently. We know—from our own work—that this results in amorphous phases with very different stabilities against recrystallisation, for example, but is this polyamorphism? On the other hand, they find that the pair distribution functions of each of their “forms” are identical. There is no experimental evidence for a distinct structure. Taken together, the results do little to advance my understanding of polyamorphism.’

Distinct dihedral angle distributions

To get further information on how the polyamorphs are different on a molecular level, Martins and Rades turned to molecular dynamics simulations, comparing the dihedral angles around the sulfonamide groups in polyamorphs I and II. ‘Polyamorph I, which has a large number of the molecules with a dihedral angle similar to the one reported for crystalline hydrochlorothiazide, has a lower physical stability and faster structural relaxation time than polyamorph II, which has a broader dihedral angle distribution. Our findings indicate that a broader dihedral angle distribution seems to contribute to a better physical stability and slower structural relaxation,’ says Martins. They therefore hypothesise that having half the molecules with a conformation closer to crystalline hydrochlorothiazide and half of the molecules with a different conformation could help in establishing specific molecular arrangements that would favour the stability of the amorphous form.

The team also says the simulations corroborated its experimental results that polyamorph I can transform into polyamorph II, while the opposite conversion did not take place.

However, Billinge does not believe the computational studies provide conclusive evidence: ‘There is a detailed molecular dynamics analysis where different annealing conditions in the simulations give some slightly different statistics on the molecular conformations, but despite their claim, the resulting computed pair distribution functions do not look like the measured ones, so we have no way of knowing if the molecular dynamics is capturing what is happening in the real material. For amorphous materials, it is very difficult to equilibrate them in a molecular dynamics simulation, so you will be looking at artefacts of how the ensemble was created. Any claims to have found polyamorphism from molecular dynamics simulations by themselves are therefore questionable.’

Rades says their results can change the field of pharmaceutics: ‘We expect that other drug molecules may exhibit polyamorphism and the question would be which structural parameters would be different. In the case of hydrochlorothiazide, the dihedral angle distribution was found to be a parameter contributing for the formation of different polyamorphs. In other drugs, maybe the dihedral angle distribution (molecular conformations) could be different as well, but also maybe the type of intermolecular interactions can play a more important role in the formation of polyamorphs.’

The team now hope the pharmaceutical industry will look at amorphous systems differently and not assume that all amorphous forms of the same compound are the same. ‘Knowing this and considering that a certain polyamorph will have better physical stability, solubility or dissolution properties than another polyamorph, this will be an opportunity for the pharmaceutical industry to prepare tablets of a drug where the dose could be lower than tablets containing the crystalline form,’ concludes Rades.

COVID-19 and “Naïve Probabilism”

[from the London Mathematical Laboratory]

In the early weeks of the 2020 U.S. COVID-19 outbreak, guidance from the scientific establishment and government agencies included a number of dubious claims—masks don’t work, there’s no evidence of human-to-human transmission, and the risk to the public is low. These statements were backed by health authorities, as well as public intellectuals, but were later disavowed or disproven, and the initial under-reaction was followed by an equal overreaction and imposition of draconian restrictions on human social activities.

In a recent paper, LML Fellow Harry Crane examines how these early mis-steps ultimately contributed to higher death tolls, prolonged lockdowns, and diminished trust in science and government leadership. Even so, the organizations and individuals most responsible for misleading the public suffered little or no consequences, or even benefited from their mistakes. As he discusses, this perverse outcome can be seen as the result of authorities applying a formulaic procedure of “naïve probabilism” in facing highly uncertain and complex problems, and largely assuming that decision-making under uncertainty boils down to probability calculations and statistical analysis.

This attitude, he suggests, might be captured in a few simple “axioms of naïve probabilism”:

Axiom 1: more complex the problem, the more complicated the solution.

This idea is a hallmark of naïve decision making. The COVID-19 outbreak was highly complex, being a novel virus of uncertain origins, and spreading through the interconnected global society. But the potential usefulness of masks was not one of these complexities. The mask mistake was consequential not because masks were the antidote to COVID-19, but because they were a low cost measure the effect of which would be neutral at worst; wearing a mask can’t hurt in reducing the spread of a virus.

Yet the experts neglected common sense in favor of a more “scientific response” based on rigorous peer review and sufficient data. Two months after the initial U.S. outbreak, a study confirmed the obvious, and masks went from being strongly discouraged to being mandated by law. Precious time had been wasted, many lives lost, and the economy stalled.

Crane also considers another rule of naïve probabilism:

Axiom 2: Until proven otherwise, assume that the future will resemble the past.

In the COVID-19 pandemic, of course, there was at first no data that masks work, no data that travel restrictions work, no data of human-to-human transmission. How could there be? Yet some naïve experts took this as a reason to maintain the status quo. Indeed, many universities refused to do anything in preparation until a few cases had been detected on campus—at which point they had some data, as well as hundreds or thousands of other as yet undetected infections.

Crane touches on some of the more extreme examples of his kind of thinking, which assumes that whatever can’t be explained in terms of something that happened in the past is speculative, non-scientific and unjustifiable:

“This argument was put forward by John Ioannidis in mid-March 2020, as the pandemic outbreak was already spiralling out of control. Ioannidis wrote that COVID-19 wasn’t a ‘once-in-a-century pandemic,’ as many were saying, but rather a ‘once-in-a-century data-fiasco’. Ioannidis’s main argument was that we knew very little about the disease, its fatality rate, and the overall risks it poses to public health; and that in face of this uncertainty, we should seek data-driven policy decisions. Until the data was available, we should assume COVID-19 acts as a typical strain of the flu (a different disease entirely).”

Unfortunately, waiting for the data also means waiting too long, if it turns out that the virus turns out to be more serious. This is like waiting to hit the tree before accepting that the available data indeed supports wearing a seatbelt. Moreover, in the pandemic example, this “lack of evidence” argument ignores other evidence from before the virus entered the United States. China had locked down a city of 10 million; Italy had locked down its entire northern region, with the entire country soon to follow. There was worldwide consensus that the virus was novel, the virus was spreading fast and medical communities had no idea how to treat it. That’s data, and plenty of information to act on.

Crane goes on to consider a 3rd axiom of naïve probabilism, which aims to turn ignorance into a strength. Overall, he argues, these axioms, despite being widely used by many prominent authorities and academic experts, actually capture a set of dangerous fallacies for action in the real world.

In reality, complex problems call for simple, actionable solutions; the past doesn’t repeat indefinitely (i.e., COVID-19 was never the flu); and ignorance is not a form of wisdom. The Naïve Probabilist’s primary objective is to be accurate with high probability rather than to protect against high-consequence, low-probability outcomes. This goes against common sense principles of decision making in uncertain environments with potentially very severe consequences.

Importantly, Crane emphasizes, the hallmark of Naïve Probabilism is naïveté, not ignorance, stupidity, crudeness or other such base qualities. The typical Naïve Probabilist lacks not knowledge or refinement, but the experience and good judgment that comes from making real decisions with real consequences in the real world. The most prominent naïve probabilists are recognized (academic) experts in mathematical probability, or relatedly statistics, physics, psychology, economics, epistemology, medicine or so-called decision sciences. Moreover, and worryingly, the best known naïve probabilists are quite sophisticated, skilled in the art of influencing public policy decisions without suffering from the risks those policies impose on the rest of society.

Read the paper. [Archived PDF]

Education and “Intuition Pumps”

Professor Daniel Dennett of Tufts uses the word “intuition pumps” in discussing intuitive understanding and its tweaking.

Let’s do a simple example, avoiding as always “rocket science,” where the intricacies weigh you down in advance. We make a U-turn and go back by choice to elementary notions and examples.

Think of the basic statistics curve. It’s called the Bell Curve, the Gaussian, the Normal Curve.

The first name is sort of intuitive based on appearance unless of course it’s shifted or squeezed and then it’s less obvious. The second name must be based on either the discoverer or the “name-giver” or both, if the same person. The third is a bit vague.

Already one’s intuitions and hunches are not fool-proof.

The formula for the Bell Curve is:

\begin{equation} y = \frac{1}{\sqrt{2\pi}}e^{\frac{-x^2}{2}} \end{equation}

We immediately see the two key constants: π (pi) and e. These are: 22/7 and 2.71823 (base of natural logs).

The first captures something about circularity, the second continuous growth as in continuous compounding of interest.

You would not necessarily anticipate seeing these two “irrational numbers” (they “go on” forever) in a statistics graph. Does that mean your intuition is poor or untutored or does it mean that “mathworld” is surprising?

It’s far from obvious.

For openers, why should π (pi) be everywhere in math and physics?

Remember Euler’s identity: e + 1 = 0

That the two key integers (1 and 0) should relate to π (pi), e, and i (-1) is completely unexpected and exotic.

Our relationship to “mathworld” is quite enigmatic and this raises the question whether Professor Max Tegmark of MIT who proposes to explain “ultimate reality” through the “math fabric” of all reality might be combining undoubted brilliance with quixotism. We don’t know.

Essay 86: World-Watching: India

(from ICRIER Newsletter | November 2019 | Vol. III, Issue 11)

The November 2019 issue of the Newsletter provides a quick recap of ICRIER’s research and policy engagements during the month of October 2019.

Three research reports were released by ICRIER last month in the areas of competition, trade and investment and climate change (See below).

ICRIER also organized consultation workshops, dissemination and outreach events during the month. ICRIER researchers published several articles in leading newspapers and other media platforms on a variety of current issues such as growth, agriculture, trade, FTAs, RCEP, single use plastics and the Economics Nobel. We sincerely hope that you will take a few moments to glance through these updates and engage further with anything that interests you. We hope you enjoy the newsletter’s new format. As always, we welcome your valuable feedback.

Competition Issues in India’s Mobile Handset Industry

(Rajat Kathuria, Mansi Kedia and Kaushambi Bagchi)

Mobile phones have been the key to India’s technology revolution. India is the second largest mobile phone market globally, next only to China. At the end of 2018, the estimated number of smart phone users in India was 337 million, compared to 2.53 billion users worldwide. One would imagine that the exponential increase in cheaper smart phone models would displace the market for feature phones; to the contrary, feature phones continue to dominate the Indian market. While smart phone and feature phone shipments in 2018 Q3 were about the same, a comparison of growth rates shows that both phablets (large screen smartphones) and regular smartphones eclipse feature phones.

Read more (archived PDF).

Exploring Trade and Investment Opportunities between India and Select African and Asian Economies

(Anirudh Shingal, Neha Gupta, Minakshee Das, Akshaya Aggarwal and Varsha Jain)

Using descriptive statistical analysis, this study examines trade and investment opportunities between India and 41 African and Asian economies (mostly LDCs) by focusing on the latter’s export opportunities in the Indian market and on India’s investment opportunities in the selected countries. It also discusses barriers to realizing the identified trade and investment opportunities between India and the selected economies, based on a review of the existing literature.

Read more (archived PDF).

Financing Resilience against Natural Disasters

(Saon Ray, Samridhi Jain and Vasundhara Thakur)

Disaster Risk Resilience can be interpreted as global policies working for improving disaster risk reduction. The Sendai Framework for Disaster Risk Reduction is the guiding principle for efforts to improve resilience worldwide. This report links the global efforts for disaster risk reduction with resilient infrastructure. The report analyses the applicability of popular instruments for emerging economies, the role of the private sector, and challenges to implementation of resilience framework. It maps the evolution and status of disaster risk financing in India.

Read more (archived PDF).

ICANN 66 Pre-Meeting Briefing

ICRIER hosted the ICANN 66 Pre-Meeting Briefing on 18th October 2019 for its Indian stakeholders. This edition of the Pre-Meeting Briefing looked closely at the developments between ICANN 65 and ICANN 66 and highlighted some of the key policy discussions currently underway at ICANN. The event witnessed participation from various stakeholders from India, including representatives from the Ministry of Electronics & Information Technology (MeitY), National Internet Exchange of India (‘.in’ registry) along with Indian representatives active in various policy development processes at ICANN. ICANN 65 was held in Montreal, Canada, between 2-7 November 2019. ICRIER will also be hosting the ICANN 66 Readout during the first week of December 2019 to highlight some of the key takeaways from ICANN 66.

Read more [archived PDF].

Dissemination of the India-LDCs Trade and Investment Study

ICRIER organised Dissemination of the Report Exploring Trade and Investment Opportunities between India and Select African and Asian Economies on October 14, 2019 at Magnolia Hall, India Habitat Centre, Lodhi Road, New Delhi.

Welcome remarks were delivered by Dr. Rajat Kathuria, Director & CE, ICRIER and the Introductory Session was Chaired by Dr. Jayant Dasgupta, IAS (Retd.) Former Ambassador of India to the WTO. Dr. Anirudh Shingal, Sr. Fellow, ICRIER presented the key findings of the report, which was followed by a Panel discussion Chaired by Dr. Arpita Mukherjee, Professor, ICRIER.

Read more [archived PDF] [Presentation PDF] [Report PDF]

Market Incentives, Direct Income Support for Farmers are far more Effective in Increasing Agricultural Productivity

(Ashok Gulati, Sakshi Gupta)

Read article [archived PDF]

Cities at Crossroads: Single-use Plastic only Part of the Challenge

(Isher Judge Ahluwalia, Almitra Patel)

Read article [archived PDF]

From Plate to Plough: Agri-Policy Lessons from China

(Ashok Gulati & Sakshi Gupta)

Read article [archived PDF]

Growth, Income, Poverty and the Nobel

(Alok Sheel)

Read article [archived PDF]

Understanding the RCEP with Rajat Kathuria

(Rajat Kathuria)

Listen to podcast [archived MP3 audio] [PDF transcript]

The Five-trillion Math

(Alok Sheel)

Read article [archived PDF]

Has PM-Kisan Belied Expectations?

(Siraj Hussain)

Read article [archived PDF]

How Government Can Control Sudden Spike in Prices of Onion and Tomato

(Ashok Gulati & Harsh Wardhan)

Read article [archived PDF]

Best of Business Standard Opinion: Corporate Tax Cuts, Pollution Challenge…

(Durgesh K. Rai)

Read article [archived PDF]

India’s Trade with its FTA Partners: Experiences, Challenges…

(Durgesh K. Rai)

Read article [archived PDF]

India’s Trade Policy Should Lend an Ear to a Wider Range of Voices

(Ujjwal Krishna & Amrita Saha)

Read article [archived PDF]

Monsoon’s Late Surge Helps, But Floods Hurt Crop Prospects

(Siraj Hussain)

Read article [archived PDF]